MASTER 
NEGATIVE 


NO.  94 


COPYRIGHT  STATEMENT 


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Author: 


Stanley,  Anthony  Dumond 


Title: 

Tables  of 
numbers 

Place: 

New  Haven 

Date: 

1 854  [1 846] 


of 


COLUMBIA  UNIVERSITY  LIBRARIES 
PRESERVATION  DIVISION 

BIBLIOGRAPHIC  MICROFORM  TARGET 


MASTER    NEGATIVE   # 


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ORIGINAL  MATERIAL  AS  FILMED  -    EXISTING  BIBLIOGRAPHIC  RECORD 


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Stanley,  Anthony  D[Umond]  1810-1853. 

Tables  of  logarithms  of  numbers,  and  of  logarithmic 
smes,  tangents  and  secants,  to  seven  places  of  decimals  • 
together  with  other  tables  of  frequent  use  in  the  study  of 
mathematics,  and  in  practical  calculations.  By  Anthony 
D.  Stanley  ...     New  Haven,  Durrie  and  Peck,  F8it9J.854 

64  p.,  1 1.,  340  p.    23-. 


1.  Logarithms.    '■ 


Library  of  Congress 


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TABLES 


07 


LOGAEITHMS   OF  NUMBERS, 


AND  OF 


LOGARITHMIC   SINES,  TANGENTS  AND  SECANTS, 


TO  SEVEN  PLACES  OP  DECIMALS; 


TOGETHER  WITH 


OTHER  TABLES  OF  FREQUENT  USE 


IN  THE 


STUDY    OF    MATHEMATICS, 


AND  IN 


PRACTICAL    CALCULATIONS. 


BT 


ANTHONY  D.  STANLEY,  A.  M. 

PiofeMor  of  Mathematics  in  Yale  College. 


NEW    HAVEN: 
DURRIE    &    PECK. 


PRINT  E  I> .  B,Y,  B .    I,..    -HjA  BX  L  £  N^     ; 
Printe'rto'YaleCMle'^e'  "\    :    /' 

1854 

•  ••  .»•    •■•■■..     (1  •-»••  1 

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Entered,  according  to  Act  of  Congresi,  in  the  year  1846, 

by  AifTHOHT  D.  Stanley, 
in  tlie  Clerk's  office  of  tiie  District  Court  of  Connecticut. 


■"nil 


Coinposition  and  Presswork  by 

B.   L.   HAMLEN, 

New  Haven. 

Stereotypetl  by 
mCHAED   H.   HOBBe, 

Ijlartibr^.  *  *   '•.•:    ; 


PR£iFAC£. 


1 t  i.i.: 


The  following  collection  of  tables  has  been  prepared,  chiefly 
with  a  view  to  meet  the  wants  of  college  students.  Tables  of 
much  less  extent  would  perhaps  be  regarded  by  many  as  suffi- 
cient for  this  purpose :  and  such  indeed  are  most  of  the  tables  in 
common  use.  These  smaller  tables  are  doubtless  suitable  enough 
for  the  illustration  of  principles  and  rules  of  calculation ;  but 
from  the  inaccurate  results  which  they  usually  give  in  the  solu- 
tion of  problems,  they  enable  the  mathematical  student  who  em- 
ploys them,  to  see  but  little  of  the  use  of  tables  to  the  computer. 
Tables  in  which  the  logarithms  of  numbers  are  carried  to  as  many 
as  seven  places  of  decimals  are  needed  for  the  proper  solution 
of  many  of  the  problems  to  be  met  with  in  any  common  course 
of  mathematics.  Indeed  logarithms  of  five  or  six  places  of  dec- 
imals are  now  seldom  used  in  calculations  requiring  any  but  the 
lowest  degree  of  accuracy.  In  France,  at  the  examinations  for 
admission  to  the  military  and  naval  schools,  candidates  have  for 
several  years  been  required  in  their  computations  to  use  loga- 
rithms of  seven  decimal  figures.  The  tables  which  are  there 
most  generally  used  are  those  of  Callet.  The  tables  of  like  ex- 
tent most  commonly  employed  in  England  are  Hutton's:  and 
those  of  Vega  are  most  used  in  Germany.  The  only  similar  ta- 
bles hitherto  published  in  this  country  are  Hassler's:  and  these 
have  been  found  so  inconvenient  from  the  smallness  of  the  type 
in  which  they  are  printed,  that  they  are  much  less  used  than 
those  of  Hutton  and  Callet  imported  from  abroad. 

The  following  work  is  one  of  sufficient  extent  to  furnish  nearly 
the  same  aid  to  computers  as  is  afforded  by  the  tables  of  Hutton 
or  Callet.  In  presenting  it  to  the  public,  our  principal  concern 
is  to  show  that  proper  care  has  been  taken  to  secure  its  correct- 
ness, in  carrying  it  through  the  press ;  as  a  new  work  of  this  kind 
inaccurately  printed  would  be  worse  than  useless.  We  therefore 
state  the  following  particulars.  The  pages  of  the  tables  were 
first  made  by  the  printer  to  agree  i^ery  nearly  with  the  copy. 
Four  or  five  proofs  of  each  were  afte^Wards  read  in  connection 


%     . 


«  •  •     <   •  * 


(4) 


'iQj  in  'Vji  'ffi    JL    jr%  wft 


PBIiFACE* 


(6) 


with  different  tables,  before  the  work  was  printed.  Two  and  in 
sevefal  cases  three  proofs  were  examined  before  the  page  was 
stereotyped,  and  two  proofs  from  the  plates  were  examined  after- 
wards. This  proof  reading  was  done  exclusively  by  the  writer. 
In  comparing  the  proofs  with  different  tables,  the  correspondina: 
columns  of  figures  were  in  each  case  placed  closely  side  by  side, 
that  the  eye  might  readily  detect  an/disagreement.  An  exam: 
ination  of  the  proofs  with  the  assistance  of  another  in  the  ordi- 
nary  way,  would  have  inquired  much  less  time :  but  the  other 
method  was  preferred  as  better  suited  for  the  detection  of  errors. 

The  tables  employed  in  correcting  the  proofs  were  chiefly 
those  of  Tega,  Callet,  Hiitton,  Babbage  and  Shortrede.  Babbage 
and  Callet  were  most  relied  on  for  accuracy.  But  their  tables 
were  not  found  free  from  error.  It  is  a  common  opinion  with 
regard  to  works  which  have  been  stereotyped,  that  while  they 
are  open  to  correction  as  errors  are  discovered  in  them  from  time 
to  time,  they  are  also  made  permanently  secure  of  whatever  de- 
gree of  accuracy  they  once  acquire.  But  in  using  two  copies  of 
Gallet's  tables,  one  of  recent  and  one  of  earlier  date,  it  was  seen 
that  some  errors  from  which  the  latter  was  free,  had  found  their 
way  into  the  former.  A  notice  of  several  errors  observed  in  the 
different  tables  which  we  have  had  occasion  to  examine,  may  be 
found  in  No.  15,  2d  Series  of  the  Amer.  Jour,  of  Sci.  and  Arts. 

After  the  following  tables  were  ready  for  the  press,  the  editor 
found  among  the  Memoirs  of  the  Astronomical  Society  of  Lon- 
don  an  article  by  Mr.  Babbage,  in  which  he  mentions  six  errors 
that  are  common  to  almost  all  the  tables  of  logarithms  he  has 
seen.  Prom  his  own  table  these  errors  are  of  course  excluded. 
And  as  that  had  been  used  in  correcting  the  first  proofs  of  the 
foUowing  table  of  logarithms,  we  were  furnished  with  tolerable 
means  of  forming  an  opinion  concerning  the  merits  or  defects  of 
the  first  proof  reading.  On  referring  to  the  proofs  concerned,  it 
was  found  that  all  the  errors  in  question  had  been  noticed  and 
corrected.  Our  second  proofs  of  the  table  of  logarithms  were 
compared  with  Shortrede's  table.  We  therefore  examined  this 
table  with  reference  to  the  errors  noticed  by  Babbage ;  and  in  it 
found  five  of  them.  We  then  referred  to  a  list  of  nine  or  ten 
errors  that  we  had  discovered  in  the  same  table,  and  found  all  of 
these  five  among  them:  which  encouraged  the  belief  that  not 
many  errors  had  been  overlooked  in  the  second  proof  reading. 


As  we  are  informed  that  Babbage's  table  was  employed  in  tlie 
correction  of  Shortrede's,  it  seems  a  little  remarkable  that  all 
the  five  errors  referred  to  should  have  escaped  notice.  But  the 
general  correctness  of  the  latter  table  need  not  be  therefore  dis- 
trusted, as  we  may  infer  from  what  is  stated  above,  that  those 
errors  form  a  large  proportion  of  all  the  errors  which  it  contains. 

Next  in  importance  to  the  table  of  logarithms  of  numbers,  is 
that  of  logarithmic  sines,  tangents,  &c.  Hutton  in  his  table  of 
sines,  tangents,  «fcc.  gives  them  only  at  intervals  of  a  minute  each, 
through  all  except  the  first  two  degrees  of  the  quadrant,  where 
sines  and  tangents  are  given  for  every  second.  The  differences 
of  successive  sines,  tangents,  &/C.  in  some  parts  of  his  table  are 
accordingly  quite  large,  and  in  finding  intermediate  sines,  tan- 
gents, &c.  the  process  of  interpolation  is  inconveniently  long. 
There  is  also  room  for  considerable  error  in  this  process,  unless 
second  differences  are  taken  into  account,  which  would  render 
the  work  still  longer.  In  Callet 's  table,  sines  and  tangents  are 
given  at  intervals  of  seconds  for  the  first  five  degrees,  and  sines, 
cosines,  tangents  and  cotangents,  at  intervals  of  ten  seconds  for 
the  whole  of  the  quadrant.  His  table  is  therefore  much  more 
convenient  than  Hutton 's.  In  one  respect  however  it  is  less  con- 
venient, as  it  fails  to  give  secants  and  cosecants,  which  Hutton 
does  not  omit. 

We  have  endeavored  to  combine  the  main  advantages  of  these 
two  tables  in  the  second  table  of  this  collection.  In  giving  se- 
cants and  cosecants,  our  table  agrees  with  that  of  Hutton.  It 
differs  from  his  chiefly  in  giving  sines,  tangents,  &c.  at  intervals 
of  ten  seconds  instead  of  minutes,  for  the  first  fifteen  degrees. 
In  consequence  of  this  and  of  a  special  arrangement  for  the  first 
two  degrees,  no  error  greater  than  a  unit  in  the  last  place  of  deci- 
mals can  happen  in  any  part  of  the  table,  from  the  neglect  of 
second  differences  in  interpolation ;  whereas  there  would  have 
been  room  for  errors  thirty-six  times  as  great  as  this,  if  the  sines, 
tangents,  (fcc.  had  been  given,  as  in  Hutton's  table,  only  to  min- 
utes, after  the  second  degree  of  the  quadrant. 

There  are  many  cases  in  which  a  required  result  cannot  be 
accurately  determined,  unless  the  result  be  known  approximately 
from  some  preliminary  calculation.  This  first  calculation  does 
not  commonly  require  to  be  made  with  much  exactness :  and  if 
it  be  logarithmic,  it  ought  to  be  made  with  logarithms  of  less  than 


(6) 


PmBFACE. 


seven  decimal  figures.  For  convenient  use  in  hasty  calculations 
of  this  and  other  kinds,  we  have  added  to  the  larger  tables  of 
logarithms  and  logarithmic  sines,  tangents,  &c.  smaller  tables  of 
logarithms,  antilogarithms,  logarithmic  sines,  tangents,  &c.  car- 
ried  only  to  five  places  of  decimals. 

Before  we  determined  to  embrace  these  tables -in  the  collection 
to  be  made,  we  had  intended  that  the  two  leading  tables  should 
be  followed  by  a  variety  of  smaller  ones,  useful  in  navigation, 
surveying,  <fcc.  Several  such  tables  were  accordingly  selected  and 
prepared  for  the  press,  but  most  of  them  were  set  aside  to  make 
room  for  the  smaller  logarithmic  tables,  which  seemed  likely  to 
be  of  more  general  use.  A  few  of  the  most  important  however 
have  been  retained,  and  will  be  found  at  the  end  of  the  volume. 

The  table  on  page  338  was  copied  from  one  in  common  use, 
the  correctness  of  which  we  had  no  reason  to  distrust.  But  after 
this  page  was  stereotyped,  we  observed  that  the  numbers  in  it 
could  not  be  depended  on  for  accuracy  in  their  final  figures.  This 
defect  may  however  be  deemed  of  little  practical  importance,  as 
no  great  exactness  is  called  for  in  cases  where  those  numbers 
are  used. 

The  table  of  meridional  parts,  which  was  prepared  for  the  stere- 
otyper  immediately  after  page  338,  was  withheld  till  it  could  be 
examined,  cursorily  at  least,  with  reference  to  such  inaccuracies 
as  had  been  observed  in  that  page.  And  in  this  table  too,  sev- 
eral numbers  were  found  erroneous,  by  a  unit,  in  the  final  figure. 
These  were  corrected :  but  the  table  may  still  contain  errors  of 
the  kind  in  question,  as  the  examination  was  a  hasty  one,  being 
moch  less  thorough  than  it  would  have  been  had  the  occasion 
for  it  been  earlier  suggested.  The  numbers  given  in  this  table 
are  carried  to  the  first  place  of  decimals.  Meridional  parts  given 
in  whole  numbers,  as  they  commonly  are,  are  unsuitable  for  use 
in  many  cases  where  accuracy  is  demanded. 


CONTENTS. 


^^^^'^■■■^^^l^^^i'^^^^'M* 


INTRODUCTION. 


Fagtt. 

Of  Logarithms (9) 

Of  the  Table  of  Logarithms  of  Numbers    ....  (16) 

Table  of  Artificial  Sines,  Tangents,  &;c.       .         .         .  (27) 

Table  of  Natural  Sines  and  Cosines          .         .         .  (41) 

Smaller  Table  of  Logarithms  of  Numbers   .         .         .  (43) 

Table  of  Antilogarithms (45) 

Smaller  Table  of  Artificial  Sines,  Tangents,  &c.           .  (46) 

Traverse  Table (51) 

Table  of  Meridional  Parts (52) 

Table  for  correcting  Middle  Latitude        .         .         .  (52) 
Table  of  Logarithms  for  computing  Compound  Interest,  &c.  (53) 
Tables  for  interchanging  Common  and  Hyperbolic  Loga- 
rithms         ........  (53) 

Table  for  finding  the  Lengths  of  Circular  Arcs      .        .  (54) 

Tables  on  page  340 (54) 


«i 


cc 


TABLES. 

Table  of  Logarithms  of  Numbers 1 

Table  of  Artificial  Sines,  Tangents,  &c 155 

Table  of  Natural  Sines  and  Cosines          .         t         .        •         •  278 

Smaller  Table  of  Logarithms  of  Numbers    .        .        •        •  288 

Table  of  Antilogarithms 294 

Smaller  Table  of  Artificial  Sines,  Tangents,  &c.            .         .  300 

Traverse  Table  or  Table  of  Departure  and  Difference  of  Latitude  323 

Table  of  Meridional  Parts 330 

Workman's  Table  for  correcting  Middle  Latitude            .         .  338 

Table  of  Logarithms  for  computing  Compound  Interest,  &c.       .  339 

Table  for  converting  Common  into  Hyperbolic  Logarithms     .  339 

Table  for  converting  Hyperbolic  into  Common  Logarithms        .  339 

Table  for  finding  the  Lengths  of  Circular  Arcs      .        .        ,  339 

Table  of  Logarithms  carried  to  thirty  places  of  decimals    .        .  340 

Table  of  Numbers  often  used       ......  340 


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INTRODUCTION. 


LOGARITHMS. 

Art.  1.  A  logarithm  of  a  number  is  the  exponent  which  shmos 
ichat  power*  that  number  is  of  a  given  number.  Thus  if  the 
given  number  is  2,  the  logarithm  of  8  is  3,  that  of  32  is  5,  that 
of  64  is  6,  &c.  because  8=2%  32=2%  64=2%  &c.  and  if  3  is 
the  given  niunber,  the  logarithm  of  9  is  2,  that  of  27  is  3,  that 
of  81  is  4,  &c.  To  distinguish  the '  logarithms  of  one  of  these 
two  classes  from  those  of  the  other,  the  former  are  said  to  belong 
to  a  system  of  logarithms  of  which  2  is  the  base,  and  the 
latter  to  a  system  of  which  3  is  the  base.  To  make  either 
system  complete,  the  logarithms  of  all  the  numbers  1,  2,  3,  4, 
&c.  must  he  obtained,  by  regarding  each  number  as  a  power 
of  the  base,  and  finding  the  exponent  which  denotes  what  that 
power  is.  Thus  if  the  base  is  2,  each  number  is  to  be  considered 
as  a  power  of  2,  and  the  exponent  denoting  the  power  is  to  be 
ascertained,  and  taken  for  the  logarithm  of  the  number.  For 
example,  let  the  number  be  13 :  this  is  greater  than  2=*  and  less 
than  2*  ;  and  there  is  some  number  between  3  and  4,  which  in- 
dicates what  power  13  is  of  2 :  that  number  is  the  logarithm  of 
13 ;  and  though  not  assignable  at  once,  it  may  be  determined 
without  difficulty  by  various  methods  of  calculation  which  need 
riot  be  specified  here. 

Any  number  except  one  may  be  made  the  base  of  a  system  of 
logarithms ;  for  by  giving  the  number  different  indices,  we  may 
form  powers  of  it  that  shall  equal  any  numbers  whatever ;  but 
as  all  the  powers  and  roots  of  one  are  alike,  we  cannot  represent 
other  numbers  by  any  powers  or  roots  of  the  number  07ie. 

2.  liOgarithms  are  employed  chiefly  to  facilitate  numerical  cal- 
culations.   And  for  this  purpose  it  is  best  to  make  use  of  the 


*  The  word  power  \%  often  used  to  denote  a  quantity  with  any  index  whether 

fractional  or  integral,  positive  or  negative.    In  this  sense,  a',fl    ,a     are  all  powers 
of  a.     With  this  extended  meaning  the  term  is  employed  in  these  pages 


(10) 


IKTBODFCTION. 


logarithms  of  bo  more  than  one  system.  The  method  of  pre- 
paring for  use  a  system  of  logarithms,  is  to  take  the  numbers  1, 
2,  3,  4,  <fcc.  in  their  natural  order,  (to  a  greater  or  less  extent  as 
occasion  demands,)  and  considering  them  all  as  powers  of  the 
base,  to  determine  their  logarithms  accordingly,  and  then  arrange 
the  logarithms  together  with  the  numbers  in  a  table.  The  sys- 
tem which  has  been  chosen  as  most  convenient,  is  that  whose 
base  is  10.  It  is  for  reasons  pertaining  to  the  common  mode  of 
reckoning  by  tens,  (and  to  be  stated  more  explicitly  in  Art. 
17,)  that  this  system  is  preferred.  Logarithms  in  the  system 
whose  base  is  10,  are  called  common  logarithms  or  Briggs'*  log- 

nnt' linns 

The  COMMON  hgarithm  of  a  number  then  is  the  exponent 
which  shows  what  power  that  number  is  of  10. 

When  the  kind  of  logarithms  spoken  of  is  not  specified,  com» 
fwofi  logarithms  are  always  to  be  understood. 

3.  The  logarithms  of  the  numbers  which  are  exact  powers  of 
10  are  at  once  obvious :  thus  the  logarithms  of  the  numbers 
1000, 100, 10, 1,  tV,  Ti «,  tAi  are  obviously  3,  2,  1, 0,  - 1,  -2, 
-  3,  because  those  numbers  are  obviously  the  following  powers 
of  10,  viz.  10%  10',  10',  10%  10-',  10-%  10-». 

The  logarithms  of  other  numbers  are  fractional,  and  some  cal- 
culation is  necessary  to  determine  accurately  what  they  are.f 

Thus  for  example,  the  logarithm  of  687  is  some  number  be- 
tween two  and  three,  because  587  is  between  100  and  1000,  and 
the  logarithm  of  100  is  two,  that  of  1000,  three.  By  a  proper 
method  of  calculation  it  may  be  ascertained  that  the  logarithm 
of  587  is  greater  than  2.7686381,  and  less  than  2.7686382;  and 
that  it  differs  less  from  the  former  number  than  from  the  latter. 


•  W«  are  indebted  to  Lord  Napier  a  Scottish  matheniatician,  for  the  invenlioD 
of  logarithnu.  The  first  loprithniic  tables  were  published  by  him  in  1614.  Ufa 
■jslein  of  logarithms  had  2.718  ...  for  its  ba:3e.  This  system  was  assumed  on 
account  of  a  peculiarity  that  makes  its  logarithms  a  little  easier  of  calculation  than 
those  of  other  systems.  The  logarithms  of  this  system  are  commonly  called 
MmpenaMj  but  are  sometimes  called  also  hyperbolic  logarithms  from  certain  re- 
markable relations  which  they  have  to  a  curve  called  the  hyperbola.  At  the  sug> 
gestioD  of  Briggs  a  contemporary  of  Napier,  the  system  in  which  10  is  the  base 
was  early  substituted  for  the  other  and  has  ever  since  been  the  one  in  common  uso. 

t  Indeed  the  logarithms  of  such  numbera  are  not  capable  of  being  expressed  in 
fractions  mhh  perfect  madness;  but  they  can  be  assigned  with  any  lower  degree 
of  accuracy,  and  especially  with  all  the  accuracy  thai  is  requisite  for  practical 


■wiimiianiiiiiiiiiiiiiiiiiMii 


LOGARITHMS. 


(11) 


The  logarithm  of  587  is  therefore  very  nearly  2.7686381.  We 
might  assign  a  number  still  nearer  the  true  logarithm  by  pro- 
ceeding to  eight  or  more  decimals;  but  for  ordinary  purposes  it 
is  sufficient  to  know  the  logarithm  of  a  number  accurately  to 
the  seventh  decimal  place.  Accordingly  2.7686381  may  in  prac- 
tice be  regarded  as.  the  logarithm  of  587. 

4.  Again  the  logarithm  of  0.0357  is  between  -1  and  -2,  be- 
cause 0.0357  is  less  than  0.1  that  is  10"',  and  greater  than  0.01 
that  is  10- =» ;  and  by  due  calculation  it  has  been  found  that  the 
logarithm  of  0.0357  differs  but  little  from  - 1.4473318. 

The  logarithm  as  thus  expressed  consists  of  a  negative  whole 
number  -  1  and  a  negative  decimal  -.4473318.  There  are  rea- 
sons for  avoiding  the  use  of  negative  decimals  in  logarithms,  which 
is  done  by  substituting  for  them  such  equivalent  expressions  that 
each  negative  logarithm  may  be  made  to  consist  of  a  positive 
.decimal  and  a  negative  whole  number.  Thus  in  the  example  be- 
fore us,  instead  of  -.4473318  is  substituted  the  equivalent  ex- 
pression -l-f. 5526682:  the  whole  logarithm  thus  becomes 
-2 +.5526682,  consisting  of  a  negative  integer  -2  and  a  posi- 
tive decimal  -f-. 5526682. 

To  represent  a  logarithm  which  is  thus  composed  of  a  negative 
integer  and  a  positive  decimal,  the  decimal  without  its  sign  + 
is  placed  immediately  after  the  integer,  and  the  sign  —  placed 
over  the  latter.  Thus  the  logarithm  of  0.0357  is  2.5526682, 
which  is  to  be  understood  as  equivalent  to  the  expression 
-2 +.5526682. 

5.  The  integral  parts  of  the  logarithms  of  587  and  0.0357, 
viz.  2  and  —  2,  were  easy  to  be  determined ;  the  logarithm  of 
587  being  obviously  more  than  2  and  less  than  3,  and  the  loga- 
rithm of  0.0357  being  between  —  1  and  —2.  Likewise  in  every 
case  the  integral  part  of  a  logarithm  may  be  readily  assigned. 
To  distinguish  the  integral  from  the  decimal  part,  the  former  is 
called  the  itidex  or  more  commonly  the  characteiistic  of  the  loga- 
rithm, and  the  latter  the  mantissa.  Thus  2  is  the  characteristic  of 
the  logarithm  of  587,  and  .7686381  the  mantissa;  —2  is  the  char- 
acteristic of  the  logarithm  of  0.0357,  and  .5526682  the  mantissa. 

6.  The  general  rule  to  determine  the  characteristic  of  a  loga- 
rithm is  as  follows. 

If  the  number  whose  logarithm  is  in  question  consists  of  one 
or  more  integral  figures  with  or  without  a  decimal  annexed,  the 


(13) 


INTRODUCTION. 


'!  f 


characteristic  of  the  logarithm  is  one  less  than  the  number  of  the 
inte^ai  figures. 

Thus  the  characteristic  of  the  logarithm  of  504.27  is  2,  as 
the  integral  iigures  viz.  504  are  three  in  number.  And  the  char- 
acteristic of  the  logarithm  of  2.036  is  0,  because  the  number 
2.036  has  one  integral  figure. 

But  if  the  number  be  onhj  a  decimal  fraction^  the  character- 
istic of  its  logaritlun  is  negative,  and  is  greater  hj  one  than  the 
number  of  ciphers  at  the  beginning  of  the  decimal. 

Thus  if  the  nimaber  concerned  be  the  decimal  .087,  the  char- 
acteristic of  its  logarithm  is  -2  or  as  it  should  be  stated  2 ;  and 
if  the  number  be  .275,  the  characteristic  of  its  logarithm  is  1. 

7.  In  proof  of  these  statements  it  may  be  observed  that  the 
least  number  having  n  integral  figures  is  10^"  •  ;  the  least  num- 
ber having  3  integral  figures  for  example  being  10»  or  100,  the 
least  having  4  such  figures  being  10 «  or  1000,  &c.  and  as  there 
are  n  integral  figures  in  the  number  lO"-',  the  number  of  such 
figures  in  10"  is  ?*+L  Accordingly  if  a  number  has  7i  integral 
figures  only,  it  must  be  less  than  10\  but  cannot  be  less  than 
10- » ,  though  it  may  be  equal  to  tliis.  Since  then  every  number 
having  ti  integral  figures  is  either  10  - '  or  between  10""  •  and  10 ", 
its  logarithm  must  be  either  n-lot  between  m  - 1  and  w,  that 
is,  must  be  either  »^1  orn-  1+  a  decimal;  the  characteristic 
therefore  is  h  - 1 ;  that  is,  the  characteristic  of  the  logarithm  of  a 
number  having  integral  figures,  is  one  less  than  the  number  of 
integral  figures  j  as  is  stated  in  the  first  part  of  the  rule  given 
above. 

Again,  the  least  decimal  number  beginning  with  n  ciphers  is 
1 
j|p:7  ;  the  least  decimal  beginning  Avith  one  cipher  for  example 

.   ,.,       ^^         1 

being  .01  or  jgji   the  least  beginning  with  two  ciphers  being 

1  I 

.001  or  jpj  &c.    and  as  j^jprr  is  a  decimal  beginning  with  n 

1 
ciphers,  j^  is  a  decimal  beginning  with  n  -  1  ciphers.     Accord- 
ingly, if  a  decimal  begins  with  n  ciphers,  it  must  be  less  than 
Ijpj  but  cannot  be  less  than  j;^^-»  though  it  may  be  equal  to 
this-     Since  then  every  decimal  beginning  with  n  ciphers  is  either 


LOGARITHMS. 


(13) 


I  1  1 

~-  thatisl0-^"+'\  or  between  |-^-qrr  and  j^y.  that  is  between 

10-^"+'^  and  10"",  its  logarithm  must  either  be  -(n  +  1)  or  be 
between  -(n+1)  and  -w,  that  is,  must  be  either  -(w  +  1)  or 
^{n-^l)^  a  decimal]  the  characteristic  therefore  is  -{n-\-l)\ 
so  that  the  characteristic  of  the  logarithm  of  a  decimal  is  negative, 
and  is  one  greater  than  the  number  of  ciphers  at  the  begmnmg  of 
the  decimal ;  as  is  stated  in  the  second  part  of  the  foregoing  rule. 

8.  When  the  characteristic  of  a  logarithm  is  negative,  it  is 
often  for  convenience,  made  positive  by  the  addition  of  10; 
which  can  lead  to  no  error,  if  it  be  kept  in  mind  that  such  a 
change  has  taken  place,  and  due  care  be  taken  to  malce  allowance 
for  it  afterwards,  at  a  proper  time.^ 

Thus  instead  of  the  logarithms  1.8272047,  4.0260108,  we  may 
write  9.8272047,  6.0260108. 

9.  Since  we  have  a  rule  by  which  we  can  readily  find  the 
characteristic  of  the  commoji  logarithm  of  any  proposed  number, 
tables  are  needed  only  to  furnish  the  mantissas  of  logarithms. 
These  mantissas  have  been  calculated  and  arranged  in  tables  to 
such  an  extent  as  has  been  found  convenient  for  practical  pur- 
poses. It  is  unnecessary  here  to  describe  the  manner  of  com- 
puting them ;  it  will  be  sufficient  to  show  how  they  are  arranged 
for  use  in  the  following  tables.  In  describing  these  tables  how- 
ever, it  is  necessary  to  refer  to  certain  properties  of  logarithms 
which  will  now  be  stated. 

10.  If  Z>,  M,  N,  (^c.  be  several  numbers,  and  /,  m,  n,  <^c.  their 
logarithms  in  a  system  of  which  the  base  is  6,  the  logarithm  of 
LMN  (^c.  is  equal  to  Z+m  +  n4-(^c. 

For  from  the  nature  of  logarithms,  (Art.  1)  L  =  6',  M—h'^y 
N=b%  6rc.  hence  LMN  6rc.  =ft'6'"6%5-c.  =  6'+"'+"+4'c.:  but  if 
LMNS^c.  is  the  (/-i-w+w-hc^c.)th  power  of  6,  ;+w+n4-*^. 
is  the  logarithm  of  LMNS^c.  as  was  asserted. 

Therefore  the  logarithm  of  the  product  of  several  numbers 
equals  the  sum  of  the  logarithms  of  the  numbers. 

11.  Again,  if  M  and  N  be  two  numbers  whose  logarithms  are 
m  and  n,  the  logarithm  of  M-^N  equals  m-n. 

For  as  M= 6"'  and  N=b\  M^N=  b^-^b^ = b—\ 

Therefore  the  logarithm  of  the  quotient  of  one  number  divided 

hy  another  is  equal  to  the  logarithm  of  the  dividend  diminished 

by  that  of  the  divisor. 


/ 


i  " 


(14) 


IITTBOOUCTIOIV. 


fi' 


12.  .^,  if  Af  is  a  number  whose  logarithm  is  m,  the  loga- 
niiim  of  M*  IS  mn.  ° 

»       ,         •    ,  \         "    J  f>uiit  M  18  the  mnth  power  of  the 
base  bj  mn  is  the  logarithm  of  M\ 

T/ierefore  the  logarithm  of  ant^  power  of  a  number  is  obtained 
%  multtplptng  the  logarithm  of  thai  number  into  the  number 
aenotttig  the  pmcer. 

13.  Fmalljr,  iiMm^  number  whose  logarithm  is  m,  the  log- 
J.     «n  ® 

arithmof  TIf  *  is-. 


LOGARITHMS. 


(16) 


n 


I  IK 


For  as  ilf=&'»,  M^=b' 

J^M^tif '!f ',  %«nVAm  0/  any  roo^  of  a  number  is  obtained 

the^T^  "'''"^^'^ ""-^^^^  ''"^^^  ^  ^^'  ^"^*^''  ^^^''^^■^^ 

14.  The  following  definition  will  prepare  the  way  for  one  or 
two  mferences  to  be  drawn  from  these  principles. 

ufZt-^T^u  ^""'  ""^  ^  ""'"^^^  ^^^  ^^^^  ^hich  remain 
after  re  ectmg  all  ciphers  that  occur  either  at  the  end  or  at  the 
hegtnnmg  of  the  number. 

Thus  the  significant  figures  of  8021700  are  8U217:  those  of 
the  decimal  .00010408  are  10408. 

15.  If  two  different  numbers  have  the  same  signijicafit  fl^ires 
occo-mg  m  the  same  order,  their  logarithms  will  have  differen; 
characteristics,  but  the  same  mantissa. 

For  two  such  numbers  may  be  made  alike,  by  merely  re- 

rrid        t'"'^  "T  '"  ^"^  ^^  ^^^™  ^^  'h«  -ght  or 
left,  and  as  changmg  the  position  of  the  decimal   point    is 

equivalent  to  multiplying  or  dividing  by  10,   100,   1000    L 

the  greater  number  must  be  equal  to  the  smaller  one  multi^ 

plied  by  some  exact  power  of  10,  which  we  will  denote  by  W 

n  being  a  whole  number;   then  (Art.  10)  the  logarithm  of  the 

gmater  number  must  be  equal  to  the  logarithm  of  the  smaller 

number  increased  by  the  logarithm  of  10^  which  is  n.    Now 

by  adding  the  integer  n  to  the  smaller  logarithm  to  obtain  the 

eZrid  ^%t"\  '^'  f  ^^^^"^^i^'  b"^  leave  the  mantissa  un- 
clianged.     The  logarithms  of  the  two  numbers  therefore  have 

of  1^^A'^9I^'^""*^*''  characteristics.  Thus  the  logarithm 
01  lUW.Uh  is  2+  a  deamul,  and  that  of  1080600  is  6+  the  same 
4mmd,  because  1080600=108.06x10*  j  also  the  logarithm  of 


.00203  is  -34-  a  decimal,  while  that  of  20.3  is  1+  the  same 

decimal  j<a-       * 

16.  Again,  if  the  logarithms  of  two  numbers  have  difierent 

characteristics,  but  the  same  mantissa,  the  signijkant  figures  of 
the  numbers  must  be  the  same,  and  must  occur  in  the  same  or- 
der ;  and  the  numbers  will  differ  only  as  to  the  position  of  the 

decimal  point. 

For  then  the  difference  of  the  logarithms  is  a  whole  num- 
ber, which  we  may  denote  by  n ;  but  this  difference  is  the  loga- 
rithm of  the  quotient  of  one  of  the  nmnbers  divided  by  the 
other  (Art.  11);  the  quotient  itself  therefore  is  10\  and  accord- 
ingly one  of  the  numbers  is  equal  to  the  other  multiplied  by 
10" ;  but  a  number  after  being  multiplied  by  any  exact  power 
of  10  as  10^  will  have  the  same  significant  figures  as  before, 
and  only  the  position  of  the  decimal  point  will  be  changed.  If 
for  example,  the  logarithms  of  two  numbers  are  2+  «  decimal 
and  -  1  +  the  same  decimal,  and  if  it  be  known  that  the  number 
to  which  the  first  logarithm  belongs  is  231.02,  then  we  infer  that 
the  number  to  which  the  other  logarithm  belongs  must  be 
.23102.  For  the  difference  of  the  logarithms  is  the  integer  3, 
and  the  quotient  of  the  greater  number  divided  by  the  less  is 
therefore  10  =' ;  but  the  greater  is  231.02,  as  has  been  supposed; 
therefore  the  less  is  231.02-r.l0='  =  .23102. 

17.  What  is  stated  in  the  two  preceding  articles  will  apply  to* 
the  common  logarithms  of  numbers  only.  Such  logarithms  are 
therefore  much  more  convenient  than  others  for  general  use; 
since  when  the  common  logarithm  of  any  number  has  been 
found,  those  of  various  other  numbers  having  the  same  signifi- 
cant figures  are  obtained  without  difficulty,  simply  by  changing 
the  characteristic,  according  to  the  principles  stated  above. 


(16) 


INTRODUCTfOrf. 


TABLE     OF     LOGARITHMS. 


(17) 


ill  i 


♦ 


Table  of  Logarithms  of  Numbers:  pp.  1-153. 


18.  This  is  a  table  of  the  numbers  1,  2,  3,  &c.  up  to  100000, 
with  the  mantissas  of  their  common  logarithms,  which  are  also 
the  mantissas  of  the  logarithms  of  other  numbers  whose  signifi- 
cant  figures  fall  between  1  and  100000.  To  these  the  proper 
cfmraderistics,  omitted  for  convenience,  are  to  be  prefixed  ac- 
coi-ding  to  the  rule  in  Art.  6. 

The  first  three  pages  contain  all  the  numbers  from  1  to  1000, 
(except  those  ending  with  0,)  arranged  in  columns  headed  N. 
By  the  side  of  each  number,  in  the  next  column  headed  Log.  is 
to  be  found  the  mantissa  of  its  logarithm,  carried  to  seven  places 
of  decimals ,  the  decimal  point  being  omitted,  and  the  first  three 
figures  being  separated  a  little  from  the  other  four,  for  ease  ot 
reading.  Thus  the  true  mantissa  of  the  logarithms  of  8,  37  and 
809,  are  .9030900,  .5682017  and  .9079485,  respectively. 

In  the  subsequent  pages,  in  columns  on  the  left  and  headed 
Num.  are  all  numbers  from  1000  to  10000 ;  the  first  two  figures 
being  stated  only  at  convenient  intei-vals,  as  they  are  the  same 
for  several  numbers  in  succession.  In  the  columns  headed 
0,  1,  2,  3,  4,  5,  6,  7,  8,  9,  are  the  mantissas  of  the  logarithms  of 
numbers  carried  to  seven  places  of  decimals,  or  rather  the  four  last 
■figures  only  of  these  mantissas,  except  in  the  column  headed  0, 
where  to  some  of  the  mantissas,  the  first  three  figures  also  are  given. 
Each  mantissa  belongs  to  a  number  whose  first  four  figures  are  op- 
posite it  in  the  left  hand  column  headed  Num.  and  whose  fifth 
figure  stands  at  the  head  of  the  column  containing  the  mantissa. 
And  the  whole  logarithm  of  this  number  will  be  the  mantissa 
with  the  characteristic  4  prefixed.  These  mantissas  will  accord- 
ingly be  spoken  of  as  the  logarithms  of  the  numbers  composed 
of  five  figures  in  the  way  just  mentioned,  the  characteristic  4 
being  understood  as  prefixed  to  each  mantissa  in  conformity 
with  the  rule  in  Art.  6. 

Wherever  the  character  ♦  occurs,  a  cipher  must  be  understood. 

The  use  of  the  space  between  the  columns  headed  4  and  5  is, 
by  dividing  the  page,  to  facilitate  the  finding  of  any  column  sought! 

Also,  at  the  beginning  of  each  page  the  figures  are  made  heavier, 
that  as  we  consult  the  table  they  may  more  readily  catch  the  eye. 


In  the  columns  headed  Diff.  4"  Mult,  are  several  numbers 
placed  opposite  the  nine  digits,  the  number  opposite  1  being  in 
each  case  the  difference  of  two  consecutive  logarithms  in  the 
table,  and  those  opposite  the  other  digits  being  corresponding  mul- 
tiples of  the  differences  over  them. 

19.  All  this  will  be  readily  understood  from  the  following  in- 
dication of  the  meaning  of  the  first  part  of  page  6. 


Numbers. 

Logarithms. 

11200 

4.0492180 

11201 

4.0492568 

11202 

4.0492956 

11203 

4.0493343 

11204 

4.0493731 

11205 

4.0494119 

11206 

4.0494506 

11207 

4.0494894 

11208 

4.0495281 

11209 

4.0495669 

11210 

4.0496056 

11211 

4.0496444 

Numbers. 

Logarithms. 

11212 

4.0496831 

«  ■  *  • 

11218 

4.0499154 

11219 

4.0499541 

11220 

4.0499929 

11221 

4.0500316 

11222 

4.0500703 

•  *  .  • 
11229 

40503411 

11230 

40503798 

11231 

40504184 

&c. 

^'C. 

Here  it  is  seen  that  the  leading  figures  049  are  those,  not  only 
of  the  mantissa  of  the  logarithm  of  11200,  but  also  of  all  the 
following  ones  that  come  before  the  mark  ♦. 

This  mark  ♦  which  stands  for  0,  is  used  to  give  notice  that  for 
the  mantissa  in  which  it  occurs,  and  for  all  succeeding  mantissas 
to  the  end  of  the  line,  the  three  leading  figures  are  to  be  found  in 
the  next  lower  line  and  under  an  asterisk  standing  opposite  the 
character  ♦ ;  whereas  in  other  cases,  the  three  leading  figures  of 
any  mantissa  are  in  the  same  line  with  the  other  four,  or  are  the 
first  to  be  found  in  a  preceding  line. 

The  use  of  the  asterisk  in  connexion  with  the  sign  ♦ ,  is  to 
mark  more  distinctly  the  line  in  which  a  change  takes  place  in 
the  three  leading  figures  of  the  mantissa. 

20.  The  difference  of  the  first  two  mantissas  on  the  page  be- 
fore us,  which  are  .0492180  and  .0492568,  is  if  we  neglect  the 
decimal  point,  388 ;  the  next  difference  viz.  that  of  0492568  and 
0492956,  is  also  388 ;  the  next  is  387 ;  and  so  on  in  the  following 
series,  388,  388,  387,  388,  387,  388,  387,  388,  387 ;  these  differen- 
ces being  found  smaller  and  smaller  as  we  proceed  to  the  bottom  of 
the  page,  where  the  difference  between  two  consecutive  mantissas 


I, 


)i  r 


i 


(18)  IlfTROBlTCTIClN. 

is  368.  Now  the  differences  388,  387,  386,  385,  «fec.  are  placed 
in  file  column  headed  Dif.  Sf  MnU.  each  opposite  the  number  1  j 
and  the  multiples  of  each  difference  by  the  numbers  2,  3,  4,  .  .  .  9, 
are  placed  under  that  difference,  apd  opposite  these  multipliers. 
The  use  of  the  multiples  and  differences  will  be  stated  below. 

From  page  22  onward,  there  is  a  column  marked  Dif.  which 
contains  simply  the  differences  between  consecutive  logarithms 
in  the  table,  and  is  of  but  little  use. 

The  manner  of  using  the  table  of  logarithms,  may  now  be  coe- 
Ycniently  explained. 

To  find  the  logarithm  of  a  given  number. 

21.  If  after  rejecting  ciphers  at  the  beginning  or  end  of  the 
number  when  they  occur,  there  are  not  more  than  three  remain- 
ing figures,  these  figures  are  to  be  found  in  one  of  the  columns 
beaded  iV.  on  one  of  the  first  three  pages  of  the  table,  and  op- 
posite them,  in  the  next  column  headed  Log,  will  be  found 
a  number  which  with  the  decimal  point  prefixed  is  the  mantissa 
of  the  required  logarithm,  carried  to  seven  places  of  decimals. 
The  characteristic  of  the  logarithm  must  be  supplied  according 
to  the  rule  in  Art.  6. 

The  first  three  pages  of  the  table  are  to  be  used  only  m  the  case 
just  specified.  The  remainder  of  the  table  must  be  employed  in 
every  other  case,  and  is  available  in  that  case  also,  though  not  so 
convenient  then  as  the  first  three  pages. 

If  then  the  first  three  pages  of  the  table  be  disregarded,  the 
general  n^h»d  of  finding  the  logarithm  of  a  number  is  the 
following. 

22.  First  suppose  the  given  number  to  consist  of  ^t^e  integral 
figures  not  followed  by  a  decimal. 

The  first  four  figures  of  the  number  will  be  found  on  the  left 
in  the  column  headed  Num.  of  one  of  the  pages  of  the  table : 
and  if  the  fifth  figure  is  0,  the  required  logarithm  carried  to 
seven  places  of  decimals,  will  be  found  opposite  the  first  four  fig- 
ures in  the  next  column  headed  0 ;  or  at  least  the  four  last  of  the 
decimal  figures  will  be  fomid  there,  and  the  place  of  the  three 
leading  figures  when  vacant,  must  be  supplied  by  those  of  the 
first  previous  logarithm  in  which  all  the  seven  decimal  figures 
appear :  but  if  the  fifth  figure  of  the  given  number  is  one  of  the 
fdne  digits,  it  will  be  found  at  the  top  of  one  of  the  nine  columns 
which  follow  the  column  headed  0,  and  under  this  fifth  figure 


TABLE     OF     LOGARITHMS. 


(19) 


and  opposite  the  first  fom-  will  be  found  the  last  four  decimal  fig- 
ures of  the  logarithm  sought :  the  three  leading  figures  are  to  be 
looked  for  in  the  column  headed  0,  and  opposite  the  other  four ; 
and  if  not  found  there,  they  may  be  found  a  little  above  in  the 
same  column,  unless  the  character  ♦  either  stands  in  place  of  one 
of  the  four  decimal  figures  first  obtained,  or  is  somewhere  on  the 
left  in  the  same  line  with  them,  in  which  case  the  three  leadmg 
figures  are  to  be  found  directly  under  an  asterisk,  that  stands  op 
posite  the  mark  ♦ .  The  proper  characteristic  viz.  4,  is  to  be  pre- 
fixed to  the  seven  decimal  figures. 

Thus  the  logarithms  of  57100,  10350,  57680,  57708,  42083, 
44978,  23449,  are  4.7566361,  4.0149403,  4.7610253,  4.7612360, 
4.6241067,  4.6530001,  4.3701243,  respectively. 

23.  Next  if  the  number  concerned  consist  of  five  integral  fig- 
ures with  a  decimal  fraction  annexed,  find  the  logarithm  of  the 
five  integral  figures  by  the  preceding  rule,  and  to  this  add  a  cor- 
rection for  the  additional  decimal ;  which  is  found  by  multiply- 
ing the  decimal  into  the  difference  between  the  logarithm  taken 
from  the  table  and  the  following  one. 

Thus  the  logarithm  of  10800.76  is  found  by  taking  the  loga- 
rithm of  10800  from  the  table,  and  increasing  this  logarithm  by 
the  product  of  .76  into  the  difference  between  the  logarithm  ol 
10800  and  the  next  one  in  the  table,  viz.  that  of  10801.  Now 
the  logarithm  of  10800  is  4.0334238,  and  that  of  10801  is 
4.0334640 ;  their  difference  viz.  402  multiplied  into  .76  gives 
305.52,  which  we  may  call  306,  taking  the  nearest  whole  nuni- 
ber.  This  added  to  4.0334238  will  give  4.0334544  for  the  log- 
arithm required. 

It  will  be  observed  that  the  difference  402  has  been  regarded 
as  a  whole  number,  whereas  it  is  really  a  decimal,  the  last  figure 
2  belonging  to  the  seventh  decimal  place.  But  this  can  lead  to 
no  error,  if  after  obtaining  the  correction  306  we  make  its  last 
figure  fall  in  the  seventh  decimal  place  when  we  add  it  to  the 
logarithm  4.0334238. 

The  logarithms  of  87012.9  and  27018.61  found  in  this  way, 
are  respectively  4.9395836  and  4.4316630. 

24.  The  rule  given  for  correcting  a  logarithm  as  found  for  five 
integral  figures  of  a  number,  on  account  of  an  additional  decimal, 
is  derived  from  the  consideration,  that  whatever  is  the  difference 
between  the  logarithms  of  one  number  and  the  next  in  the  table, 
the  difference  between  the  logarithms  of  the  second  number  and 


i^ 


■.•»■■ 


I'  i 

I 


ii 


I 


jj 


(20) 


INTROBUCTION. 


Ilie  succeeding  one  is  the  same,  or  is  only  one  less ;  and  so  on : 
for,  if  for  the  difference  of  a  unit  in  two  numbers  there  is  a  cer- 
tain difference  in  their  logarithms,  and  for  a  difference  of  two  in 
the  numbers,  twice  the  former  difference  in  the  logarithms,  and 
m  on,  then  we  may  infer  that  for  half  a  unit  added  to  the  least 
number,  there  should  be  added  to  the  logarithm  of  that  number 
half  the  difference  between  this  logarithm  and  the  next,  and  in 
short,  for  any  decimal  part  of  a  unit  added  to  the  least  number, 
there  should  be  added  to  its  logarithm  a  proportional  part  of  the 
difference  between  this  and  the  next  logarithm. 

For  example,  the  logarithm  of  27018  is  44316532,  that  of 
27019  is  44316693  which  exceeds  the  former  by  161,  and  that 
of  27020  is  4.4316853,  being  160  greater  than  the  preceding  and 
321  greater  than  the  first  logarithm :  if  then  with  an  addition  of 
one  to  the  number  27018  there  is  an  addition  of  161  to  its  loga- 
rithm, and  with  an  addition  of  two  the  addition  to  the  logarithm 
is  very  nearly  twice  as  great,  an  addition  of  .61  to  the  number 
should  give  an  addition  of  .61  x  161  to  its  logarithm. 

25.  The  logarithmic  correction  for  the  decimal  part  of  a  num- 
ber may  be  considered  as  made  up  of  corrections  for  the  several 
figures  of  the  decimal ;  and  instead  of  multiplying  the  whole 
decimal  at  once  into  the  difference  of  the  logarithms  concerned, 
we  may  multiply  this  difference  by  the  first  figure  of  the  decimal, 
and  as  this  figure  stands  for  tmiliSj  divide  the  product  by  10, 
which  will  give  the  correction  due  to  the  first  decimal  figure ; 
then  multiply  the  difference  by  the  second  figure  and  divide  by 
100,  to  obtain  the  correction  for  that  figure;  next  multiply  by 
the  third  figure  and  divide  by  1000,  to  obtain  the  correction  for 
the  third  figure,  and  so  on  ;  and  lastly  take  the  sum  of  all  these 
partial  corrections,  for  the  total  correction  required. 

But  the  labor  of  such  multiplications  may  be  saved  by  using 
the  colunuis  of  differences  mid  multiples  given  in  the  table;  for 
among  these  differences  we  may  find  the  difference  between  any 
two  consecutive  logarithms  of  the  table,  and  imder  it,  its  multi- 
ples by  all  the  numbers  2,  3,  4,  5,  6,  7,  8,  9. 

26.  To  obtain  by  this  means  the  logarithmic  correction  due 
to  the  decimal  part  of  a  munber,  find  the  difference  between  the 
logarithm  to  be  corrected  and  the  next,  look  for  that  difference 
under  the  heading  Diff,  <J*  Mult,  and  from  it  together  with  its 
eight  multiples  as  found  there,  select  the  numbers  corresponding 


TABLE     OF     LOGARITHMS. 


(21) 


to  the  different  figures  of  the  decimal ;  then  having  divided  the 
number  which  belongs  to  the  first  decimal  figure  by  10,  that 
which  belongs  to  the  second  by  100,  and  so  on,  add  together 
the  quotients ;  their  sum  will  be  the  required  correction.  When 
one  of  the  figures  in  the  decimal  concerned  is  0,  there  will  of 
course  be  no  partial  correction  due  to  it. 

To  find  for  example,  the  logarithm  of  98741.207. 

The  logarithm  of  the  whole  number  98741  is  49944975 ;  the 
difference"  between  this  and  the  next  tabular  logarithm  is  44; 
under  44  in  the  table  of  differences  and  multiples  and  opposite  2 
is  the  number  88,  which  divided  by  10  gives  8.8  for  the  first  par- 
tial correction ;  the  second  figure  in  the  decimal  .207  being  0 
may  be  disregarded ;  for  the  third  figure  the  correction  is  .308, 
as  308  is  the  multiple  opposite  7.  The  whole  correction  then  is 
8.8 +  .308 =9. 108  or  9  nearly;    and  the  required  logarithm  is 

49944984. 

It  is  more  convenient  and  sufficiently  accurate  to  take  account 
of  one  decimal  figure  only,  in  each  partial  correction.  Thus 
in  place  of  .308  in  the  preceding  example,  may  be  substituted 

simply  .3. 

27.  In  ascertaining  the  difference  between  one  logarithm  in 
the  table  and  the  next,  it  will  generally  be  sufficient  to  find  the 
last  figure  of  this  difference  ;  for  this  will  show  which  of  the  dif- 
ferences at  hand  under  the  heading  Diff.  4*  MulL  is  the  one  to 
be  employed,  as  two  that  end  with  the  same  figure  are  not  to  be 
found  near  each  other  any  where  in  the  table.  Thus  in  the  case 
of  the  example  preceding,  the  difference  between  9944975  and 
9945019  is  obtained  by  taking  5  from  9,  which  shows  that  the 
difference  ends  with  4,  and  then  looking  in  the  table  of  differ- 
ences and  multiples  for  the  nearest  difference  ending  thus,  which 

is  found  to  be  44. 

28.  If  the  number  whose  logarithm  is  sought  has /owr  or  m^re 
decimal  figures,  the  logarithmic  correction  due  to  all  after  the 
third  will  be  extremely  small,  and  the  required  correction  may 
be  obtained  with  sufficient  accuracy  from  the  first  three  figiures ; 
the  third  figure  ought  however  to  be  increased  by  oncj  when 
the  first  neglected  figure  is  5  or  more.  Thus  instead  of  the  num- 
bers 27109.345502,  10340.189601,  we  may  employ  27109.346, 
10340. 19. 

29.  We  have  hitherto  supposed  the  number  whose  logarithm 
is  sought,  to  have  five  integral  figures  with  or  without  a  decimal 


H 


(»»J 


INTEODUCTION. 


•miBxed ;  but  if  this  is  not  the  case,  we  may  proceed  to  find  its 
logaHthm  as  if  the  first  ^ve  of  its  significant  figures  were  integral 
and  the  rest  decimal,  only  taking  care  to  substitute  instead  of  the 
characteristic  4,  the  true  characteristic  of  the  logarithm  of  the 
given  number  as  determined  by  the  rule  in  Art.  6.  For  the  loga- 
rithms of  numbers  having  the  same  significant  figures  differ  only 
with  respect  to  the  characteristic,  as  has  been  shown  in  Art.  15. 

If  the  number  proposed  has  less  than  five  significant  figures, 
the  deficiency  may  be  made  up  by  the  addition  of  ciphers. 

30.  The  use  of  the  table  will  now  be  illustrated  by  a  few  ad- 
ditional examples. 

To  find  the  hganthm  of  870358.63. 
Logarithm  of  87035  without  the  characteristic, 
Addition  for  first  figure  of  .863 

**         third 


If 


Logarithm  of  870358.63  with  proper  characteristic, 

To  find  the  hgarithm  of  0.14031897. 

Logarithm  of  14031 

Correction  fi>r  first  figure  of  .897 

second 

third 


u 


u 


it 


u 


Logarithm  of  .14031897 

To  find  ike  logarithm  of  20.2147839. 
Logarithm  of  20214 
Addition  for  first  figure  of  .784    • 
*'         second 
"         third 

Logarithm  of  20.2147839 


a 


tt 


.9390939 
40 
3 
0.2 

5.9396982 

.1470886 
248 
27.9 
2.2 

1.1471164 

.3056523 

149.8 
17.1 

.9 

1.3056691^ 


To  find  the  number  answering  to  a  given  logarithm, 

31.  First  suppose  the  characteristic  of  the  logarithm  to  be  4j 
the  number  sought  will  then  have  five  integral  figures.  The 
first  three  figures  of  the  given  mantissa  are  to  be  found  in  a  col- 
umn headed  0,  and  the  other  four  are  to  be  looked  for  in  the 
same  column  or  in  one  of  the  nirje  following  columns ;  and  if 
they  are  there,  the  number  sought  will  consist  only  of  five  in- 
tegial  figures,  the  last  of  which  will  be  found  over  the  four  final 


TABLE     OF     LOGARITHMS. 


(23) 


figures  of  the  mantissa,  at  the  head  of  the  column,  and  the  other 
four  will  be  found  opposite  the  same  final  figures,  in  the  column 
on  the  left  headed  Nam. ;  supposing  the  vacant  places  of  that 
column  to  be  filled  with  their  appropriate  figures. 

Thus  the  number  answering  to  the  logarithm  4.3321758  is 
obtained  by  turning  to  a  part  of  the  table  where  the  leading 
decimal  figures  of  the  logarithm  are  332,  as  in  page  23  •  we  find 
there  a  mantissa  exactly  equal  to  the  given  one  viz.  3321758,  and 
supplying  4  the  omitted  characteristic  of  the  table,  we  have 
the  given  logarithm  4.3321758 ;  the  number  answering  to  which 

is  21487. 

In  like  manner  the  numbers  answering  to  the  logarithms 
4.5274108,  4.8430022,  4.5270883,  4.7869643,  will  be  found  to 
be  33683,  69663,  33658,  61230. 

But  if  the  given  logarithm  is  not  to  be  found  in  the  table, 
falling  between  two  consecutive  logarithms  found  there,  then  the 
five  integral  figures  of  the  number  answering  to  the  least  of  these 
logarithms,  taken  from  the  table  as  in  the  preceding  case,  will 
form  the  integral  part  of  the  required  number ;  to  which  is  to  be 
annexed  a  decimal  correction,  for  the  excess  of  the  given  loga- 
rithm above  the  tabular  one  that  answers  to  the  five  integral  fig- 
ures. The  correction  is  found  by  dividing  the  difference  of  the 
given  logarithm  and  the  tabular  logarithm  next  below  it,  by  the 
difference  between  the  two  tabular  logarithms  next  above  and 
next  below  it. 

This  correction  depends  upon  a  comparison  of  the  given  loga- 
rithm with  the  two  in  the  tables  between  which  it  falls,  and  is 
derived  from  the  following  proportion,  which  though  not  strictly 
accurate  is  nearly  so. 

The  difference  between  the  tabular  logarithms,  is  to  the  differ- 
ence of  the  corresponding  numbers  which  is  1,  as  the  difference 
between  the  least  of  these  logarithms  and  the  given  one,  to  the 
difference  of  their  corresponding  numbers. 

As  the  third  term  is  less  than  the  first,  the  fourth  will  be  less 
than  the  second,  that  is  less  than  1.  This  term,  which  is  found 
by  dividing  the  third  term  by  the  first,  when  annexed  as  a  deci- 
mal to  the  five  integral  figures  corresponding  to  the  least  of  the 
two  tabular  logarithms,  will  give  the  number  sought.  Thus, 
if  we  seek  the  number  whose  logarithm  is  4.7875397,  this  loga- 
rithm not  being  in  the  table,  we  find  there  two  consecutive  man- 
tissas .7875384,  .7875455,  that  with  the  addition  of  the  omitted 


!4 


i' 


IS 


li 


(24) 


INTRODBCTION. 


characteristic  4  form  two  logarithms,  of  which  one  is  greater  and 
the  other  less  than  the  given  one ;  the  number  answering  to  the 

least  of  these  is  61311,  which  is  the  integral  part  of  the  required 
number ;  to  find  the  decimal  part,  we  divide  the  difference  be- 
tween 397  and  384,  by  the  difference  between  455  and  384 ;  the 
quotient  viz.  {f  or  .183  nearly,  added  to  61311  gives  61311.183 
for  the  number  sought. 

32.  In  converting  jf  to  a  decimal  fraction  by  the  common 
method,  we  annex  a  cipher  to  13,  and  for  the  first  decimal  figure 
take  the  number  which  multiplied  by  71  will  equal  130  or  fall 
just  below  it ;  then  after  subtracting  the  product  from  130  and 
annexing  a  cipher  to  the  remainder,  we  proceed  in  the  same  way 
to  find  a  second  decimal  figure,  and  so*  on. 

Now  this  process  may  be  shortened,  by  aid  of  the  table  of  dif- 
feremces  and  mMlHples :  for  in  that  we  find  the  difference  71  to- 
gether with  its  multiples  by  all  the  digits  2,  3,  ...  9 ;  having 
then  annexed  a  cipher  to  13,  we  see  by  glancing  at  these  multi- 
pies,  which  one  equals  or  falls  next  below  130 ;  the  digit  oppo- 
site  this  is  the  first  decimal  figure  sought ;  we  then  subtract  this 
multiple  from  130,  and  after  adding  a  cipher  as  before,  look  again 
for  the  next  lower  multiple,  opposite  which  is  the  second  dec- 
imal figure  sought ;  and  so  on. 

Should  any  remainder,  after  having  a  cipher  annexed,  fall  be- 
low the  difference  71  itself,  the  decimal  figure  sought  will  be  0, 
and  we  may  proceed  immediately  to  find  the  next,  by  annexing 
an  additional  cipher  to  the  remainder, 

33.  If  instead  of  annexing  ciphers  to  the  remainders  and  sub- 
tracting the  entire  multiples,  we  leave  the  remainders  unaltered 
and  divide  the  multiples  by  10, 100,  1000,  &c.  we  shall  obtain  the 
same  or  very  nearly  the  same  result.  It  will  be  best,  however, 
not  to  do  this  till  after  the  first  decimal  figure  is  obtained.  Thus 
in  the  preceding  example,  after  obtaining  the  first  decimal  figure 
1  and  subtracting  the  corresponding  number  71  from  130,  we 
may  seek  the  multiple  which  divided  by  10  or  with  the  omis- 
sion of  its  last  figure,  shall  equal  or  just  fall  below  the  remainder 
69 ;  this  we  shall  find  to  be  568,  opposite  which  is  the  digit  8, 
the  second  decimal  figure  sought :  668  divided  by  10  is  56.8  or 
nearly  57;  this  taken  from  sl  lives  2 :  we  Jnow  to  look 
for  the  multiple  which  divided  by  100  shall  differ  least  from  2  ; 
this  is  213,  opposite  which  is  the  number  3,  the  third  decimal 
fgiue  sought 


TABLE     0¥     LOCABITHMS. 


(2S) 


In  like  manner  let  the  numbers  answering  to  the  logarithms 
4.8111890  and  4.1610157  be  found:  they  are  64742.433  and 

14488  243. 

34.  We  have  thus  far  supposed  the  characteristic  of  the  given 

logarithm  to  be  4. 

But  if  the  logarithm  have  a  different  characteristic,  we  must 
seek  the  corresponding  number  as  if  the  characteristic  were  4, 
and  instead  of  so  placing  the  decimal  point  that  the  number  shall 
have  five  integral  figures,  give  it  the  position  required  by  the  true 
characteristic  of  the  logarithm  according  to  the  rule  in  Art.  6 : 
for  if  two  logarithms  differ  only  in  their  characteristics,  the  num- 
bers answering  to  them  will  have  the  same  significant  figures, 
and  will  differ  only  as  to  the  positions  of  their  decimal  points. 

Thus  to  find  the  number  whose  logarithm  is  3.9595809,  look 
for  it  as  if  the  characteristic  of  the  logarithm  were  4 ;  but  instead 
of  placing  the  decimal  point  after  the  fifth  figure,  place  it  after 
the  fourth,  so  that  the  number  of  integral  figures  may  be  one 
greater  than  the  characteristic  3.  The  number  so  obtained  will 
be  9111.3124. 

In  like  manner  shall  we  find  that  the  numbers  answering  to 
the  logarithms  1.6360175, 2.7583012,  are  .43253129,  .057319343, 

respectively. 

35.  We  have  then  this  general  rule  for  finding  the  niunber 

answering  to  a  given  logarithm. 

If  the  mantissa  of  the  logarithm  is  to  be  found  in  the  table, 
look  opposite  it  in  the  column  headed  Num.  on  the  left,  for  the 
first  four  figures  of  the  number  sought,  and  over  it  for  the  fifth 
figure.  Then  determine  the  place  of  the  decimal  point  from  the 
characteristic  of  the  logarithm,  according  to  the  rule  in  Art.  6 ; 
annexing  or  prefixing  ciphers,  if  necessary. 

But  if  the  mantissa  of  the  logarithm  proposed  is  not  to  be  foimd 
in  the  table,  take  the  one  next  below  it ;  opposite  this  will  be 
found  the  first  four  figures  of  the  required  number,  and  over  it 
the  fifth:  then  to  find  a  few  additional  figures,  (not  more  than 
three,)  take  the  difference  between  the  mantissa  of  the  given  log- 
arithm and  the  mantissa  next  below  it  in  the  table,  and  also  the 
difference  between  the  latter  and  the  next  greater  one  in  the  ta- 
ble ;  look  under  the  heading  Diff.  ^  Mult,  for  the  latter  differ- 
ence, and  from  it  with  its  eight  multiples  given  there,  select  the 
number  which  is  either  equal  to  the  former  difference  multiplied 


ill  ti 


t 


(26) 


INTRODUCTION. 


It 


M 


by  10  or  just  below  it ;  opposite  this  number  will  be  found  the 
sixth  figure  sought;  subtract  the  number  from  the  difference 
thus  multiplied,  and  look  for  the  largest  multiple  which  divided 
by  10  gives  a  quotient  less  than  the  remainder  or  equal  to  it ; 
opposite  this  multiple  will  be  the  seventh  figure  of  the  required 
number ;  find  the  diiference  of  the  quotient  and  remainder,  and 
look  opposite  the  multiple  which  divided  by  100  comes  nearest 
this  difference,  for  the  eighth  figure. 

36.  A  few  examples  are  subjoined  in  illustration  of  the  rule. 

To  find  the  number  whose  logarithm  is  6.8110210. 

First  five  figures  of  number  sought 64717 

whose  logarithm  ends  with  184. 

First  additional  figure  for  diff.  of  210  and  184     3 

found  opposite  the  multiplier  201. 

Second  additional  figure  for  diff.  of  260  and  201 8 

opposite  which  is  536. 

Thirdadditionalfigurefordiff.of  59and53.6  or  54  .....  7. 

Eight  figures  of  the  number  then  are 64717387  j 

and  the  number  itself  is  6471738.7,  having  seven  integral  figures, 
because  6  is  the  characteristic  of  the  logarithm. 

To  find  the  number  whose  logarithm  is  3.4172019. 

First  Ave  figures  of  number  sought 26133 

First  figure  of  correction  for  diff.  126 7 

opposite  Ihich  is  1162. 

Correction  for  diff.  of  1162  and  1260  . 5 

opposite  which  is  830. 

Correction  for  diff.  of  98  and  83  .  . 9. 

Then  as  the  given  characteristic  is  3,  the  required  number  is 
.0026133759. 

The  numbers  answering  to  the  logarithms  2.7865943, 
0.0294236,  2.4220180,  8.7230263,  are  in  like  manner  found  to 
be  611.7786,  1.070098,  .026425183,  528477320. 


TABLE     OF     LOGARITHMIC      SINES,     &C.  (27) 


Table  of  Logarithmic  Sines,  Tangents,  &c.  pp.  155-277. 

37.  This  is  a  table  of  the  logarithms  of  sines,  tangents,  se- 
cants, cosines,  cotangents  and  cosecants,  carried  to  seven  places  of 
decimals.  These  logarithms  are  called  logarithmic  or  artificial 
sines,  tangents,  &c.  to  distinguish  them  from  the  sines,  tangents, 
&c.  themselves,  which  are  called  natural  sines,  tangents,  &c. 

The  natural  sines,  tangents,  &c.  are  some  of  them  greater  and 
others  less  than  unity.  Their  logarithms  must  accordingly  have 
characteristics  of  which  some  are  positive  and  some  negative. 
In  order  to  render  these  all  positive,  it  has  been  found  convenient 
to  increase  each  one  by  10 :  no  error  can  result  from  this  if  we 
always  bear  in  mind  that  they  have  been  thus  altered. 

The  first  two  pages  viz.  156  and  157,  being  of  a  different 
character  from  the  rest,  and  indeed  not  a  necessary  part  of  the 
table,  may  be  here  left  out  of  view,  to  be  subsequently  described. 

For  the  first  90  pages,  that  is  from  page  158  to  page  247,  the 
sines,  tangents,  &c.  are  given  at  intervals  of  10  seconds ;  for  the 
remainder  of  the  table,  at  intervals  of  one  minute.  At  the  top  and 
bottom  of  each  page  are  numbers  in  heavy  type,  denoting  degrees ; 
next,  in  an  abbreviated  form,  are  the  titles  of  the  columns  of  num- 
bers of  which  the  body  of  the  page  is  composed ;  in  the  right 
and  left  hand  columns  are  numbers  denoting  minutes  and  tens  of 
seconds  for  the  first  90  pages,  and  minutes  only  for  the  remain- 
ing pages :  in  the  former  case,  the  minutes  are  printed  in  heavier 
type 'and  with  the  mark ',  to  distinguish  them  from  the  numbers 
10,  20,  30,  40,  50  denoting  tens  of  secoiids. 

To  find  the  sine,  tangent,  (^c.  of  a  given  arc, 

38.  The  following  is  the  rule  for  finding  the  sine,  tangent, 
&,c.  of  a  given  number  of  degrees  and  minutes,  from  0°  to  180°. 

Look  for  the  degrees  at  the  top  or  bottom  of  the  page,  and  in 
the  column  at  the  side  of  the  page  under  or  over  the  degrees 
thus  found  look  for  the  minutes :  then  if  the  degrees  are  at  the 
top,  look  for  the  name  of  the  required  number  at  the  top,  other- 
wise at  the  bottom  of  the  page ;  in  the  column  under  or  over 
this  name,  and  opposite  the  minutes  already  found,  will  be  the 

number  sought. 

Thus  to  find  from  the  table  the  sine  of  18°  20',  we  first  look  for 
18°  which  we  find  at  the  top  of  the  251st  page,  and  in  the  col- 


If 

11 


I 


I 


il  f 


^i 


III 


H 


fiS) 


INTROroUCTION. 


ttmn  under  tliis  at  the  side  of  the  page  we  look  for  20' :  we  then 
look  for  the  name  of  the  required  number  viz.  sincj  at  the  top  of 
the  page,  because  18^  is  there;  and  in  the  column  under  the 
name  mm  and  opposite  the  20  minutes,  we  find  the  required 
number  which  is  9.4976824;  the  omitted  characteristic  9.  being 
mpplied. 

The  characteristic  when  omitted  is  always  to  be  supplied  as 

In  like  manner  it  will  be  found  that  the  cotangent  of  126°  44' 
is  9.8729032,  the  secant  of  89°  2'  is  11.7728665,  and  the  cosine 
of  1750  47'  is  9.9988228. 

If  there  are  tens  of  seconds  in  addition  to  the  given  number 
of  degrees  and  minutes,  and  the  degrees  are  found  on  one  of  the 
first  90  pages,  then  by  a  similar  method  to  the  one  just  stated, 
we  may  find  the  sine,  tangent,  &>c.  of  this  number  of  degrees, 
minutes  and  seconds.     We  are  to  look  for  the  degrees  and  min- 
utes as  before,  and  then  finding  the  seconds  between  the  given 
number  of  minutes  and  the  next  greater  number  of  minutes,  look 
opposite  them  for  the  number  sought.     Thus  the  cosine  of 
140  5.  40//  is  9.9867250,  the  omitted  figures  9.986,  being  sup- 
plied; and  the  tangent  of  100*^  37'  20"  is  10.7268913. 
'     39.  In  all  other  cases  the  given  number  of  degrees,  minutes 
and  seconds  will  not  be  found  exactly  in  the  table ;  but  the  given 
number  of  degrees  and  minutes,  and  frequently  the  even  tens  of 
seconds  also,  will  be  found  there,  with  the  corresponding  sine, 
tangent,  &/C.  and  next  to  this  sine,  tangent,  &c.  will  be  found 
the  sine,  tangent,  6cc.  for  one  minute  or  as  the  case  may  be  for 
10  seconds  more ;  and  the  required  sine,  tangent,  &c.  will  fall 
between  the  latter  and  the  former :   to  obtain  it,  take  from  the 
table  the  former  sine,  tangent,  &,c.  viz.   that  which  belongs  to 
the  given  number  of  degrees  and  minutes,  or  degrees,  minutes, 
and  even  tens  of  seconds;  and  for  the  additional  seconds  prepare 
a  correction,  by  multiplying  them  into  the  number  that  is  found 
in  the  nearest  column  headed  diff.  1'',  opposite  the  place  where 
the  number  sought  would  fall  if  inserted  in  the  table :    then  if 
the  tabular  number  to  be  corrected  is  the  least  of  the  two  consecu- 
tive ones  between  which  the  required  number  falls,  the  correction 
thus  obtained  is  to  be  added  to  it ;  but  if  it  be  the  greatest,  the 
correction  is  to  be  subtracted  from  it. 

Thus  to  find  the  tangent  of  19°  27'  45".4,  take  from  the  table 
tlie  tangent  of  19°  27'  which  is  9.5479430.  and  for  the  seconds 


TABLE     OF 


LOGARITHMIC     SINES,     &C.  (29) 


46".4  obtain  a  correction  by  multiplying  45.4  into  67.03  the 
number  found  in  the  nearest  column  headed  dif.  1"  opposite  the 
place  where  the  required  tangent  would  fall  if  inserted  in  the 
table ;  for  it  would  fall  between  the  tangents  of  19°  27'  and  19° 
28'.  The  correction  thus  obtained  is  3043.162  or  3043  if  the 
fraction  .162  be  neglected.  Then  as  the  tangent  of  19°  27'  is 
less  than  that  of  19°  28',  the  tangent  sought  is  9.5479430+3043 
or  9.5482473,  the  correction  being  applied  to  the  decimal  part  of 
the  tabular  number,  as  it  should  always  be.  • 

40.  In  explanation  of  the  preceding  rule,  it  may  be  observed 
that  as  the  sines,  tangents,  &c.  in  the  table,  for  the  first  90  pages, 
are  given  at  intervals  of  10  seconds,  the  difference  between  any 
two  consecutive  ones  is  a  difference  for  10  seconds ;  and  the  part 
of  this  difference  due  to  each  of  the  10  seconds  would  be  a  tenth 
of  it,  if  the  differences  were  the  same  for  all  intervals  of  the  same 
number  of  seconds :  though  this  is  not  strictly  true  to  any  extent, 
yet  if  we  regard  it  as  true  for  an  extent  only  of  60  seconds  or  less, 
the  resulting  error  in  most  cases  will  be  extremely  small.  Ac- 
cordingly, in  the  first  90  pages  of  the  table,  one  tenth  of  each  dif- 
ference between  two  consecutive  numbers  is  given,  with  the  im- 
plied assumption  that  it  would  be  the  difference  of  consecutive 
sines,  tangents,  &c.  for  intervals  of  1"  each,  near  the  place  where 

it  occurs. 

And  in  the  latter  part  of  the  table,  where  the  intervals  are  a 
minute  each,  the  differences  given  for  1"  are  the  numbers  which 
result  from  dividing  the  differences  of  the  consecutive  sines, 
tangents,  &c.  by  60. 

Having  thus  the  variations  of  sines,  tangents,  &c.  given  for 
intervals  of  1",  we  can  readily  find  by  multiplication  the  varia- 
tions for  any  small  number  of  seconds,  and  thus  from  a  tabular 
sine,  tangent,  &c.  near  the  required  one,  obtain  the  required  one 
itself,  by  applying  to  the  former  a  correction  for  the  number  of 
seconds'  interval  between  the  two. 

The  number  of  seconds  for  which  a  correction  is  required  will 
always  be  less  than  60.     • 

41.  It  will  be  seen  that  each  column  of  differences  is  made  to 
answer  for  the  two  columns  of  tabular  numbers  on  each  side  of 
it ;  one  for  sines  and  cosecants,  another  for  tangents  and  cotan- 
gents, and  a  third  for  secants  and  cosines.  The  reason  of  this 
will  be  obvious  if  we  consider  that  the  natural  sine  of  an  angle 
multipUed  by  the  cosecant  of  the  same  angle,  equals  the  square 

3* 


•f 


I 


r 


(30) 


INTHODUCTIOlf. 


of  the  radius  or  unity ;  that  the  logarithm  of  the  sine  added  to 
the  logarithm  of  the  cosecant  accordingly  equals  0  which  is  the 
logarithm  of  unity;  and. if  10  be  added  to  the  logarithmic  sine 
aod  cosecant  severally,  their  sum  will  become  20.  The  sum  of 
the  numbers  given  in  the  table  for  the  sine  and  cosecant  of  the 
same  angle,  should  then  be  20  in  every  case  j  and  if  in  passing 
through  an  interval  of  1"  or  any  number  of  seconds,  the  sine  in- 
creases by  a  certain  amount,  the  cosecant  must,  for  the  same  in^ 
tervaliof  variation,  decrease  by  the  same  amount.  The  corres- 
ponding sines  and  cosecants  therefore  vary  by  equal  differences, 
but  in  opposite  ways. 

The  same  may  be  said  of  tangents  and  cotangents,  and  also  of 
aecants  and  cosines. 

42.  In  finding  a  correction  to  be  applied  to  a  tabular  number, 
we  may  perform  the  required  multiplication  in  an  abbreviated  way! 

Let  the  figures  of  the  multiplier  be  taken  in  an  inverted  order, 
and  let  the  unit  figure  be  put  under  the  place  of  tetiths  in  the 
multiplicand ;  then  if  each  figure  of  the  multiplier  be  multiplied 
into  the  figure  above  it  and  into  all  the  preceding  figures  of  the 
multiplicand,  the  following  ones  being  neglected,  we  shall  have 
several  partial  products,  in  each  of  which  the  last  figure  belongs 
to  the  place  of  tenths,  and  the  sum  of  which,  if  we  neglect  the 
final  figure,  will  be  the  whole  correction  sought. 

For  example,  if  the  difference  for  V'  taken  from  the  table  is 
07.91,  and  the  number  of  seconds  for  which  the  correction  is  to 
be  made,  17".32,  the  method  of  procedure  is  as  follows. 

67.91 
23  71 


679.1 

475.3 

20.1 

1.2 


1175.7 

The  correction  therefore  if  we  take  the  nearest  whole  num- 
ber is  1176. 

Instead  of  wholly  neglecting  portions  of  the  multiplicand  in 
the  manner  specified  above,  it  will  be  better  to  regard  them  so 
far  as  is  necessary  to  see  what  number  must  be  carried  from  each 
to  make  the  right  hand  figure  of  every  partial  product  as  correct 
as  may  be. 


/ 


TABLE      OF      LOGARITHMIC      SINES,     &C,  (31) 


This  method  of  multiplication  may  be  applied  to  the  preceding 

example  thus, 

67.91 

23  71 


679.1 

475.4 

20.4 

1.4 


1176.3 
The  integral  result  viz.  1176,  does  not  differ  from  that  before 
obtained :  but  in  some  cases  one  or  two  units  would  be  gained 
in  accuracy  by  the  change  in  question. 

43.  Two  or  three  examples  may  now  be  given,  in  fiirther  il- 
lustration of  what  may  be  deemed  the  best  method  of  using  the 
table  of  sines,  tangents,  &c. 

To  find  the  cosine  of  123°  11'  26''.7. 
cos.  123°  11'= 9.7382412, 

diff.  1"=32.18,  to  be  multiplied  as  below  by  26.7. 

32.18 
7  62 


643.6 

193.1 

22.5 

859.2 


The  resulting  correction  859,  added  to  the  above  tabular  number, 
gives  9.7383271  for  the  required  cosine. 
To  find  the  cosecant  of  79°  14'  17".3. 
cosec.  79°  14'  10"= 10.0077094, 

diff.  1"=4.0,  which  multiplied  by  7.3 
gives  the  correction  29.     This  taken  from  the  tabular  number  to 
be  corrected,  leaves  10.0077065  for  the  cosecant  sought. 
To  find  the  tangent  of  168°  36'  47".S. 
tang.  168°  36'lo"= 9.3041318, 
diff.  1"= 108.7, 

108.7 

87 


^ 


1 1 


y 


760.9 
87.0 

847\9 


'I 


(31) 


IKTHODUCTION. 


Sabtracting  the  correction  848,  we  obtain  9.3040470  for  tlie  tan- 
gent sought. 

Tg  find  the  arc  answerifig  to  a  given  sine,  tangent,  <J*c. 

44.  As  the  sines,  tangents,  <fcc.  given  in  the  table  are  those  of 
an  exact  number  of  degrees  and  minutes,  or  degrees,  minutes 
and  tens  of  seconds,  if  the  proposed  number  happens  to  be  the 
same  with  one  of  those  in  the  table,  it  will  of  course  be  the  sine, 
tangent,  &c.  of  an  exact  number  of  degrees  and  minutes,  or  of 
degrees,  minutes  and  tens  of  seconds. 

Then  look  for  the  given  sine,  tangent,  &,c.  in  a  column  of  the 
table  over  or  under  the  appropriate  name ;  and  if  it  is  found  there, 
th©  number  of  degrees  required  will  be  found  at  the  top  or  bottom 
of  the  page,  according  as  the  name  of  the  given  number  is  at 
the  top  or  bottom  of  the  column  in  which  it  is  found;  and 
nnder  or  over  the  number  of  degrees,  in  the  column  at  the 
side,  the  required  number  of  minutes  or  as  the  case  may  be  of 
minutes  and  tens  of  seconds,  will  be  found  opposite  the  given 
number.  Thus  the  sine  9.9651953  will  be  found  to  be  the  sine 
of  67°  22'.  For,  looking  in  the  columns  marked  sin.  at  the 
top  or  bottom,  we  find  the  proposed  number  on  page  255,  in  a 
column  having  the  title  sin,  at  the  bottom  ,*  we  therefore  take 
the  number  of  degrees  given  at  the  bottom  of  the  page  viz.  67°, 
and  over  this  number  of  degrees,  in  the  right-hand  column,  we 
find  22  standing  opposite  the  given  sine,  for  the  required  number 
of  minutes. 

In  like  manner  shall  we  find  that  the  tangent  9.3178527  is 
the  tangent  of  11°  44'  40",  the  secant  10.8585473  is  the  secant 
of  82°  2'  2r . 

45.  There  are  two  numbers  of  degrees  at  the  top  and  also  at 
the  bottom  of  each  page,  one  less  and  the  other  not  less  than  90°. 
Their  sum  is  invariably  179° ;  and  under  or  over  each  is  a  col- 
umn of  minutes  or  of  minutes  and  tens  of  seconds,  at  the  side 
of  the  page,  so  arranged  that  the  sum  of  every  two  opposite  num- 
bers in  the  two  columns  is  60'  or  1°.  This  added  to  the  for- 
mer Slim  makes  180°  j  so  that  the  number  of  degrees  and  min- 
utes,  as  found  on  the  right,  is  in  every  case  the  supplement  of 
the  corresponding  number  of  degrees  and  minutes  found  on  the 
Ml  hand. 


TABLE      OF     LOGARITHMIC     SINES,     &C. 


(33) 


Either  of  these  numbers  belongs  as  properly  to  the  sine,  tan- 
gent, &c.  corresponding  to  it  in  the  table,  as  the  other ;  for  the 
sine  of  an  angle  and  that  of  its  supplement  are  the  same :  so 
is  it  with  the  cosecant.  Also  the  cosine  of  an  angle  and  that 
of  its  supplement  agree  in  numerical  value,  though  they  have 
opposite  signs.  The  same  is  true  of  the  secant,  tangent  and 
cotangent. 

But  in  practice,  the  nature  of  each  case  will  generally  deter- 
mine whether  the  required  number  of  degrees  is  or  is  not  less 
than  90°. 

46.  If  the  proposed  sine,  tangent,  &c.  is  not  to  be  found  ex- 
actly in  the  table,  there  are  however  two  successive  ones  between 
which  it  falls ;  look  for  these,  and  taking  that  which  is  op- 
posite the  least  number  of  minutes  or  tens  of  seconds,  find  the 
corresponding  number  of  degrees  and  minutes,  or  degrees,  min- 
utes and  tens  of  seconds,  as  in  the  preceding  case ;  and  to  correct 
this  for  the  difference  between  the  tabular  sine,  tangent,  &.c.  just 
spoken  of  and  the  given  one,  add  such  a  number  of  seconds  as 
shall  result  from  dividing  that  diflference  by  the  difference  for  l" 
as  found  at  the  proper  place  in  the  table.  The  sum  will  be  the 
required  number  of  degrees,  minutes  and  seconds. 

Thus,  to  find  the  number  of  degrees,  minutes  and  seconds 
answering  to  the  sine  9.9766321. 

On  the  251st  page,  in  the  column  marked  sin.  at  the  bottom, 
will  be  found  two  consecutive  numbers  between  which  the  pro- 
posed sine  falls,  one  opposite  22  the  other  opposite  23  minutes ; 
taking  the  former,  we  find  71°  22'  for  the  corresponding  number 
of  degrees  and  minutes :  the  difference  between  the  given  sine 
and  9.9766171  is  150;  this  divided  by  7.10  the  difference  for  1" 
as  found  in  the  table,  gives  21".  13  for  the  number  of  seconds 
which  must  be  added  to  71°  22'  to  make  up  the  required  num- 
ber of  degrees,  minutes  and  seconds. 

In  like  manner  the  cosine  9.8055233  will  be  found  to  be  the 
cosine  of  50°  16'  48".88 ;  the  tangent  9.3768555,  the  tangent  of 
13°  23'  44".21;  the  cosecant  10.0059330,  the  cosecant  of 
80°  33'  03".  14, 

In  each  of  these  cases  there  is  also  a  number  of  degrees,  min- 
utes and  seconds  greater  than  90°,  answering  to  the  proposed 
sine,  tangent,  &;c. 


i,^ 


i 


(34)  INTRODUCTION. 

47.  The  number  of  seconds  to  be  obtained  by  division  accord- 
ing to  the  preceding  rule,  may  be  found  most  conveniently  by 
cutting  off  figures  from  the  divisor,  instead  of  annexing  ciphers 
to  the  dividend  when  there  would  be  occasion  for  this  in  the 
common  mode  of  dividing.  It  will  be  best  however  to  add  one 
cipher  to  the  dividend  at  the  outset.  And  when  the  dividend 
is  thus  multiplied  by  10,  if  we  multiply  the  divisor  also  by  10, 
the  value  of  the  quotient  will  not  be  affected. 

Now  for  the  first  90  pages  of  the  table,  the  divisors  (which  are 
the  tabular  differences  for  1",)  have  one  decimal  figure,  and  mul- 
tiplying them  by  10  makes  them  all  integral.  So  far  as  these  90 
pages  are  concerned,  the  following  example  will  serve  to  show 
how  the  division  is  to  be  performed. 

Let  2442  be  the  number  to  be  divided,  and  335.3  the  tabular 
difference  for  1"  by  which  it  is  to  be  divided.  Then  annexing  a 
cipher  to  2442  and  dividing  by  the  whole  number  3353,  we  ob- 
tain 7  for  the  first  figure  of  the  quotient  and  949  for  a  remainder ;. 
if  the  division  is  continued,  the  rest  of  the  quotient  will  be  a 
decimal :  to  obtain  the  next  figure,  instead  of  annexing  a  cipher 
to  949,  we  cut  off  the  right  hand  figure  of  the  divisor  and  divide 
949  by  335 ;  the  quotient  is  2 :  this  multiplied  by  335  gives  670, 
and  if  we  have  regard  to  the  figure  cut  off,  so  far  as  to  see  what 
ought  to  be  carried  from  it  to  the  product  obtained  from  the  other 
figures,  we  find  that  this  product  must  be  increased  by  1,  as  six 
tenths  is  nearer  one  than  nothing ;  then  subtracting  671  from 
949  we  find  the  remainder  278,  which  divided  by  33  gives  8  for 
the  third  quotient  figure ;  multiplying  by  this  and  carrying  4  as 
we  should  do,  we  obtain  268 ;  this  taken  from  278  leaves  10, 
which  divided  by  3  gives  3  for  a  fourth  quotient  figure.  This 
process  may  be  exhibited  as  follows. 

3353)24420(7.283 
23471 


949 

:;  671 

278 
268 

It  will  hardly  ever  be  worth  while  to  seek  for  more  than  two 
decimal  figures. 


TABLE      OP      LOGARITHMIC      SINES,      &C.  (35) 

48.  From  page  248  onwards,  the  tabular  differences  for  1"  are 
carried  to  two  places  of  decimals.  If  these  when  used  for  divi- 
sors be  regarded  as  integral  after  the  dividend  is  multiplied  by 
10,  the  quotient  will  be  teii  times  too  small ;  but  it  may  readily 
be  made  correct  by  changing  the  place  of  the  decimal  point.  • 

For  example,  to  find  the  quotient  of  1182  2148)11820(5503 
divided  by  21.48,  we  may  divide  11820  by  10740 

2148,  as  in  the  scheme  annexed,  which 
will  give  us  the  figures  of  the  required  quo- 
tient ;  but  in  order  that  they  may  have  their 
local  values,  the  decimal  point  must  be  put 
after  the  second  figure  instead  of  the  first. 
The  quotient  as  thus  determined  is  55.03. 

49.  The  following  examples  may  be  of  use  in  illustrating 
what  precedes. 

Required  the  number  of  degrees,  minutes  and  seconds^  whose 
sine  is  9.7035391. 

The  munber  9.7035329  is  the  sine  of  30°  21' ;  the  difference 
between  29  and  91  is  62 ;  the  tabular  difference  for  1''  is  35.95. 
Then,  3595)620(1.72 

360 


1080 
1074 

6 
6 


200 
252 


8 
7 
The  answer  therefore  is  30°  21'  1".72. 

Required  the  number  of  degrees,  minutes  and  seconds,  whose 
cotangent  is  10.8683783. 

10.8685308  is  the  cotangent  of  7°  42'  30"  j  the  difference  of 
5308  and  3783  is  1525  j  the  tabular  difference  for  1",  158.4. 
Then, 

1584)15250(9.63 
14256 


it 


994 
950 

"li 

48 
The  answer  therefore  is  7°  42'  39".63. 


■*J    1" 


I 


ii 


I M  T  E  0^  B'  C  C  T  1  O  W. 


We  wof  ii'iw  erphin  the  use  of  pages  156  awil  157. 

50.  By  turning  to  page  158  and  several  of  the  following  pages,  it 
will  be  seen  that  the  numbers  in  the  columns  marked  diff.  1"  vary 
rapidly,  the  difference  for  the  first  interval  of  10"  being  infinite, 
for  the  next  301030,  for  the  next  176091.  &c.  whereas  these 
differences  further  on  in  the  table  vary  slowly,  being  nearly  the 
«me  for  several  successive  intervals  of  10".  Now  in  cases  where 
the  sine,  tangent,  &c.  are  not  found  in  thctable,  we  cannot  deter- 
mine them  accurately  by  the  rules  we  have  given  for  the  purpose, 
unless  the  differences  in  question  vary  slowly ;  as  those  rules  are 
founded  on  the  supposition  that  the  differences  are,  for  short  dis- 
tances in  the  table,  nearly  uniform.  Accordingly,  the  156th  and 
157th  pages  are  prepared  as  a  substitute  for  the  twelve  subsequent 
pages,  to  be  used  when  strict  accuracy  is  required. 

In  the  columns  headed  sin.  tan.  mt,  cmec,  are  given  the  loga- 
rithmic «>ies,  tangents,  cotangents  and  cosecants,  to  every  minute 
of  two  degrees :  the  columns  headed  sec.  and  cos.  contain  the 
corresponding  secants  and  cosines ;  of  these  however,  all  the 
igures  except  the  last  four  are  in  each  case  to  be  found  at  the 
head  or  at  the  foot  of  the  column.  The  left  hand  column  of 
page  156  presents  the  number  of  seconds  in  each  number  of  min- 
utes opposite  it  in  the  next  column.  And  in  the  left  hand  co- 
lumn of  page  157,  is  given  the  number  of  seconds  for  every  num- 
ber of  minutes  from  1^  or  60'  to  2°  or  120'. 

Under  the  heading  ^-nare  two  columns  of  numbers,  each 
consisting  of  four  figures  that  are  to  be  preceded  by  the  figiures 
4.685  which  stand  above  and  below  these  columns.  Each  num- 
ber in  the  first  of  these  two  columns  is  the  excess  of  a  logarithmic 
s,ne  opposite  and  adjacent  to  it,  above  the  logarithm  of  the  oppo- 
site  number  of  seconds  at  the  side  of  the  page  on  the  left ;  and 
each  number  in  the  other  column  is  the  excess  of  the  opposite  and 
adjacent  logarithmic  tangent,  above  the  logarithm  of  the  opposite 
number  of  seconds.  Thus  4.6855747  is  the  excess  of  7.1626960 
over  the  logarithm  of  300  which  is  2.4771213 ;  and  4.6855788 
is  the  excess  of  7.7190026  over  the  logaritlmi  of  1080  which  is 
3.0334238.  The  numbers  in  the  columns  under  the  heading 
f +  »,  are  such  as  result  from  adding  to  each  cotangent  and  cose- 
cant in  the  adjacent  columns,  the  logarithm  of  the  opposite  num- 
ber of  seconds.     Thus  15.3144197  is  the  sum  of  12.2140492  and 


TABLE      OF     LOGARITHMIC      SINESj      &C 


(37) 


the  logarithm  of  1260  which  is  3.1003705;  and  15.3144398  is 
the  sum  of  11.8460925  and  the  logarithm  of  2940  which  is 
3.4683473. 

51.  If  the  sines  in  the  column  headed  sin.  were  not  given,  they 
might  be  found  from  the  numbers  in  the  next  column.  For  if  q 
be  put  for  the  sine  of  any  number  of  minutes  less  than  120'  or  2° 
and  n  for  the  logarithm  of  the  corresponding  number  of  seconds, 
the  value  o(  q-n  will  be  given  by  the  table  ;  which  value  in- 
creased by  n  will  be  the  value  of  q  the  required  sine.  If  for 
example  the  sine  of  1°  23'  be  required,  we  shall  find  by  looking 
in  the  first  of  the  columns  headed  q-n  on  page  157,  that 
«/-w =4.6855327:  therefore  ^ =4.6855327+ w;  but  the  loga- 
rithm of  4980  the  number  of  seconds  in  1°  23'  is  3.6972293 : 
hence  9^  =  8.3827620,  the  sine  required. 

In  a  corresponding  manner  may  tangents,  cotangents  and  cose- 
cants be  found.  To  find  for  example  the  cosecant  of  0°  37', 
we  obtain  from  the  table  the  equation  9+71  =  15.3144335,  whence 
q  =  15.3144335  ~  n ;  and  as  the  number  of  seconds  in  37'  is  2220 
whose  logarithm  is  3.3463530,  ^=11.9680805. 

52.  The  numbers  in  the  columns  headed  q-n  and  q-}-n,  are 
given  only  at  intervals  of  1'  or  60" ;  but  they  vary  so  slowly  and 
regularly,  that  we  may  by  a  simple  proportion  find  the  correspond- 
ing numbers  for  intervening  points  with  facility  and  accuracy. 

To  find  for  instance  in  the  first  of  these  columns  the  number 
belonging  to  0°  40'  37",  we  observe  that  its  last  four  figures  must 
be  less  than  5651  but  greater  than  5646 :  the  difference  of  these 
two  numbers  viz.  5  being  a  variation  for  an  interval  of  1'  or  60", 
the  part  of  this  variation  for  37"  may  be  found  by  the  proportion 
60  :  37  : :  5  :  r=  VV  =3  nearly.  The  last  four  figures  of  the  re- 
quired number  are  therefore  5648;  and  the  number  itself  is 
4.6855648.  In  like  manner  may  we  find  the  number  that  be- 
longs, in  either  of  the  four  columns  headed  q-71  and  q-hn,  to 
any  number  of  degrees,  miuutes  and  seconds  from  0^  to  2°. 

53.  If  the  numbers  thus  found  by  interpolation  be  increased  or 
as  may  be  necessary  diminished  in  each  case  by  the  logarithm  of 
the  corresponding  number  of  seconds,  the  corresponding  sines,  tan- 
gents, cotangents  and  cosecants  will  be  obtained.  Let  it  be  required 
for  example  to  find  the  sine  of  1°  3'  41  ".79.  By  inspecting  the 
column  headed  sin.  on  page  157,  we  shall  find  that  the  required 
sine  is  between  8.2630424  and  8.2698810.     But  to  obtain  it  ac- 


» 

I 


i 


fl« 


INTmOBUCTION. 

cumtely  by  interpolation  in  this  column  would  be  inconvenient, 
as  the  differences  of  the  numbers  there  are  large  and  vary  rapidly. 

If  however,  we  put  ^  for  the  required  sine  and  n  for  the  loga- 
rithm of  the  eorrespooding  number  of  seconds,  we  can  easily 
obtain  the  value  of  f -«  from  the  proper  column  headed  q-n: 
this  value  is  4.6855500  ;  the  correction  for  41".79  being  nearly 
6,  which  has  to  be  taken  from  5506.  Now  the  number  of 
seconds  opposite  1°  3'  in  the  table  is  3780,  which  increased  by 
4179  becomes  3821.79  whose  logarithm  we  shall  find  to  be 
3.5822669;  this  is  the  value  of  n,  and  since  ^-w=4,6855500, 
^=8.2678169,  which  is  the  sine  required. 

Again,  to  find  the  cotangent  of  0°  57'  34".46. 

^-}-w  =  15.3143845 
n=  3.5383802 


/.  q      =11.7760043,  the  cotangent  sought. 

64.  In  like  manner  may  these  two  pages  be  used,  when  the 
number  of  degrees,  instead  of  being  0°  or  1°,  is  88°,  89°,  90°, 
91°,  178°  or  179°.  But  if  the  number  of  degrees  be  found  at 
the  bottom  of  the  page,  the  title  of  the  quantity  sought  must  be 
looked  for  there  also ;  and  if  the  number  of  degrees  is  on  the  right 
hand,  the  number  of  minutes  must  be  found  in  the  right  hand 
column ;  and  in  this  case,  the  opposite  number  of  seconds  in  the 
left  liand  column  diminished  by  the  given  number  of  seconds,  is 
that  whose  logarithm  n  is  intended  to  represent. 

Let  it  be  required  to  find  the  tangent  of  88°  21'  37".5. 

As  88°  is  at  the  bottom  of  the  page  and  on  the  right  hand,  we 
are  to  look  for  the  title  tan.  at  the  bottom,  and  for  21  the  number 
of  minutes,  in  the  right  hand  column ;  opposite  this  number  in  the 
first  column  on  the  other  side  of  the  page  will  be  found  5940,  for 
the  number  of  seconds  to  be  diminished  by  37.5  the  given  number 
of  seconds ;  the  logarithm  of  the  remainder  5902.5  is  3.7710360, 
which  is  the  value  of  n.  Opposite  21'  and  22',  and  over  the  title 
f +m,  in  the  column  next  to  the  column  of  tangents,  are  to  be 
found  the  numbers  3051  and  3075 ;  the  proper  intermediate  num- 
ber for  21'37".5  is  3066.  Therefore  y+w= 15.3143066;  and 
hence  ^=11,5432706,  the  tangent  sought. 

Again,  to  find  the  cosine  of  91°  27'  43".7. 

f -11=4.6855277 
log.  5263.7     =      n=3.7212911 

.-.   q      =8.4068188,  the  required  cosine. 


TABLE     OF     LOGARITHMIC      SINES,      &C. 

To  find  the  cosecant  of  179°  19'  52".25. 

^-f-yfc=15.3144350 
=      n=  3.3816114 


(39) 


log.  2407.75 


.*.     q       =11.9328236,  the  cosecant  sought. 

55.  The  columns  having  the  titles  sec.  cos.  at  the  top,  and 
cosec.  sin,  at  the  bottom,  may  be  used  for  finding  sines,  cosines, 
secants  and  cosecants,  in  the  ordinary  way. 

To  obtain  for  example  the  cosine  of  1°  17'  25".5. 

In  the  column  headed  cos.  and  opposite  the  17'  which  stands 
under  1°,  will  be  found  the  number  8911 ;  and  opposite  18',  the 
number  8882 ;  the  proper  intermediate  number  for  17'  25".5  is 
8899,  in  which  we  have  the  last  four  figures  of  the  required  co- 
sine ;  the  preceding  figures  are  9.999,  as  found  at  the  top  or  bot- 
tom of  the  column  concerned.  The  complete  cosine  therefore  is 
9.9998899..  Thus  also  the  cosecant  of  90°  55'  47".5  may  be 
found  to  be  10.0000572. 

Instead  of  the  columns  here  referred  to  however,  it  is  best  to 
use  the  corresponding  ones,  in  the  twelve  subsequent  pages. 

56.  The  156th  and  157th  pages  are  likewise  to  be  used,  when 
with  a  given  sine,  tangent,  &c.  that  falls  within  the  limits  of 
these  pages,  it  is  required  to  determine  accurately  the  number 
of  degrees,  minutes  and  seconds  to  which  it  belongs.  In  era- 
ploying  them  for  this  purpose,  we  have  first  to  find  the  two  con- 
secutive sines,  tangents,  &c.  between  which  the  given  one  falls, 
and  the  corre^onding  values  of  q—n  ox  q-{-n.  We  may  then 
determine  by  interpolation  the  value  oi  q  —  n  or  q-\-n  as  the 
case  may  be,  for  the  given  sine,  tangent,  &c.  itself;  which  last 
quantity  is  represented  by  q.  If  q  be  diminished  by  q-n  or 
taken  from  q+n,  the  remainder  will  be  n  the  logarithm  of  a 
number  of  seconds,  from  which  the  number  itself  is  to  be  found, 
and  thence  the  required  number  of  degrees,  minutes  and  seconds. 
.  Let  it  be  required  to  find  the  degrees,  minutes  and  seconds  be- 
longing to  the  tangent  8.2743291.  This  falls  between  the  tan- 
gents of  1°  4'  and  1°  5'  opposite  which  in  the  preceding  column 
under  the  heading  q  —  n  are  the  numbers  6250  and  6266;  the 
intermediate  number  corresponding  to  the  given  tangent,  will  be 
found  by  ordinary  interpolation  to  be  6260 ;  the  complete  value 
of  g-n  is  accordingly  4.6856260.  Taking  this  from  q  that  is 
8.2743291,  we  find  for  the  value  of  w,  3.5887031  which  is  the. 


Ill 

I 

i 

I 


INTRODUCTION. 

* 

logarithm  of  the  number  3878.851.  The  number  next  less  than 
this  in  the  column  of  seconds  is  3840,  to  which  corresponds 
1^  4'.  The  required  number  of  degrees,  minutes  and  seconds  is 
therefore  1°  4'  38".851. 

Or  if  we  take  the  number  of  degrees  found  on  the  right  hand, 
we  must  look  for  the  number  of  minutes  in  the  right  hand  col- 
umn, opposite  the  number  of  seconds  next  greater  than  3878.851, 
viz.  3900,  and  take  the  difference  of  3900  and  3878.851  for  the 
number  of  the  required  seconds.  In  this  way  we  shall  obtain 
178°  55'  2F'.149  for  the  number  sought ;  which  is  evidently  the 
supplement  of  the  one  before  obtained. 

If  the  title  of  the  given  quantity  be  at  the  bottom  of  the  page, 
the  required  number  of  degrees  is  to  be  found  there  also. 

67.  To  obtain  the  value  of  q  -  n  or  q-\-n  corresponding  to  the 
given  sine,  tangent,  (fcc.  we  may  find  approximately  by  the  gen- 
erai  iabk  the  required  number  of  degrees,  minutes  and  seconds, 
mud  take  the  value  of  ^— w  or  ^4n  as  the  case  may  be,  corres- 
ponding to  the  number  thus  found. 

The  required  number  of  degrees,  minutes  and  seconds  in  the 
preceding  example,  we  shall  readily  find  on  page  164  to  be 
nearly  1°  4'  40".  Then  as  the  numbers  in  the  proper  column 
headed  <y— ft  on  page  157  which  correspond  to  1^  4'  and  1^  5' 
are  6250  and  6266,  the  intermediate  number  corresponding  to 
1°  4'  40"  is  easily  seen  to  be  6261  nearly,  which  differs  only  a 
unit  in  the  last  place  of  figures  from  the  result  before  obtained 
viz.  6260.  And  if  we  take  4.6856261  for  the  Value  of  ^-w, 
the  value  of  n  will  be  3.5887030 ;  which  is  the  logarithm  of 
3878.85.  The  required  number  of  degrees,  minutes  and  seconds 
thus  obtained  is  P  4'  38".85,  differing  only  a  thousandth  of  a 
second  from  the  previous  result. 

58.  If  the  given  quantity  belongs  to  either  of  the  columns 
headed  sec,  and  cos.  the  required  number  of  degrees,  minutes  and 
seconds  is  to  be  found  in  the  ordinary  way.  In  this  case  how- 
ever, it  is  better  to  make  use  of  one  of  the  twelve  subsequent 

'lHi#Wii 


"'"isijifiippff"" 


f 


TABLE     OF     NATURAL     SINES     AND     COSINES.    (41) 


Table  of  Natural  Sines  and  Cosines  :  pp.  278-287. 

69.  This  is  a  table  of  natural  sines  and  cosines  for  every  min- 
ute from  0°  to  90°,  carried  to  five  places  of  decimals.  The  dec- 
imal point,  omitted  for  convenience,  is  to  be  prefixed  to  each  sine 
and  cosine  as  given  in  the  table. 

To  find  the  sine  or  cosine  of  a  given  number  of  degrees  and 

minutes. 

If  the  given  number  is  less  than  45°,  look  for  the  degrees  at 
the  top  of  the  page  and  for  the  minutes  on  the  left :  then  oppo- 
site the  minutes  and  under  the  degrees  in  the  column  headed  sin. 
or  cos.  as  the  case  may  be,  will  be  found  the  required  sine  or 
cosine. 

If  the  number  of  degrees  and  minutes  falls  between  45°  and 
90°,  the  degrees  must  be  looked  for  at  the  bottom  of  the  page, 
and  the  minutes  on  the  right :  then  opposite  the  minutes  and 
over  the  degrees  in  the  column  having  the  proper  title  at  the  footy 
will  be  found  the  required  sine  or  cosine. 

The  sine  of  7°  33'  is  .13139,  and  the  cosine  of  67°  31'  is 
.38241. 

60.  At  the  top  of  each  page  and  on  the  left  hand  are  given  the 
differences  between  consecutive  numbers  in  the  columns  headed 
sin.  These  differences  are  for  intervals  of  V  or  60"  each.  In 
columns  under  them  are  given  the  proportional  parts  for  every 
number  of  seconds  less  than  60 ;  the  part  belonging  to  any  num- 
ber of  seconds,  standing  opposite  this  number  as  found  in  the 
adjacent  column  of  minutes. 

There  are  like  columns  of  differences  and  proportional  parts 
on  the  right,  over  the  title  Diff.  to  be  used  in  connexion  with  the 
columns  headed  cos. 

To  find  by  aid  of  these  columns  the  sine  or  cosine  of  a  given 
number  of  degrees,  minutes  and  seconds. 

Look  for  the  two  consecutive  sines  or  cosines  between  which 
the  retiuired  one  must  fall ;  find  their  difference  and  the  propor- 
tional part  of  it  belonging  to  the  given  niunber  of  seconds ;  this 
added  to  the  sine  of  the  given  number  of  degrees  and  minutes 
or  subtracted  from  the  cosine  as  the  case  may  be,  will  give  the 
required  sine  or  cosine. 

w  4* 


Ill" 

111 


lit 


INTRODUCTION. 


To  find  the  sine  of  28^  43'  51". 

This  must  fall  hetween  the  sines  of  28'^  43'  and  28^  44'. 
The  sine  of  28^  43'  as  found  in  the  tahle  is  48048,  and  differs 
25  from  that  of  28°  44' :  25  being  a  variation  for  1'  or  60",  to 
ind  the  part  belonging  to  51"  look  in  the  column  of  propor- 
tional parts  under  25,  and  opposite  51  in  the  adjacent  column  of 
minutes,  where  will  be  found  the  number  21 ;  which  added  to 
the  sine  of  28°  43'  gives  .48069  for  the  required  sine. 

To  find  the  cosine  of  67°  21'  37". 

Tlie  cosine  of  67°  21'  is  .38510,  and  differs  27  from  that  of 
67°  22' :  the  proportional  part  of  27  for  37"  is  17 ;  which  sub- 
imded  from  .38510  gives  .38493  for  the  cosine  required. 

61.  If  the  number  of  degrees,  minutes  and  seconds  is  between 
90°  and  180*^,  take  the  cosine  or  sine  of  its  excess  above  90°, 
according  as  the  sine  or  cosine  of  the  given  number  is  required. 
Thus  for  the  sine  of  143°  20'  17"  take  the  cosine  of  53°  20'  17", 
and  for  the  cosine  of  117°  26'  35"  take  the  sine  of  27°  26'  35". 

If  regard  is  to  be  had  to  positive  and  negative  signs,  the  cosine 
I  ^    of  more  than  90°  must  be  taken  fiegmtivdy. 

62.  To  find  the  number  of  degrees,  minuies  and  sec&nds  aU" 
■mffering'  to  a  given  sine  or  cosine. 

If  the  given  number  is  the  same  with  one  of  those  in  the  table, 
the  required  number  will  consist  of  degrees  and  minutes  only. 

Then  if  the  column  which  contains  the  given  number  has  the 
fMsme  of  that  number  at  the  top,  the  required  degrees  will  be 
found  there  also,  and  the  minutes  will  be  found  opposite  the 
number,  in  the  column  of  minutes  on  the  left :  but  if  the  name 
of  the  given  number  appears  at  the  foot  of  the  column  concerned, 
the  degrees  will  be  found  ^Acrc,  and  the  minutes  on  the  right. 

The  sine  .92870  is  that  of  68°  14',  and  the  cosine  .87321  is 
that  of  29°  10'. 

When  the  given  sine  or  cosine  is  not  to  be  found  in  the  table, 
look  for  tlie  two  consecutive  sines  or  cosines  between  which 
it  falls ;  one  of  these  must  answer  to  the  number  of  degrees 
and  minutes  required ;  find  the  difference, bet  ween  it  and  the 
given  sine  or  cosine,  also  the  difference  between  it  and  the  other 
tabular  sine  or  cosine ;  then  under  or  over  the  latter  difference  in 
a  column  of  proportional  parts,  find  the  former  difference  j  oppo- 
site that,  in  the  adjacent  column  of  minutes,  will  be  found  the 
required  number  of  seconds. 


I  ^ 


TABLE      OF      LOGARITHMS. 


(43) 


To  find  the  number  of  degrees,  minutes  and  seconds  answer- 
ing to  the  cosine  .93208. 

This  falls  between  the  cosines  of  21°  14'  and  21°  15'  given  in 
the  table.  21°  14'  is  therefore  the  required  number  of  degrees 
and  minutes.  The  cosine  of  21°  14'  differs  3  from  the  given 
one,  and  differs  10  from  the  cosine  of  21°  15'.  On  page  282  in 
the  column  of  proportional  parts  over  the  difference  10,  will  be 
found  the  number  3  opposite  the  numbers  from  15  to  20  in  the 
adjacent  column  of  minutes :  one  of  these  numbers  is  to  be 
taken  for  the  required  number  of  seconds ;  let  this  be  18,  as  being 
near  the  middle  of  them ;  then  21°  14'  18"  is  the  number  of 
degrees,  minutes  and  seconds  required. 

To  find  the  number  of  degrees,  minutes  and  seconds  whose 
sine  is  .82036. 

This  falls  between  the  sines  of  55^  7'  and  55°  8'.  The  sine 
of  55°  7'  differs  4  from  the  given  one,  and  differs  16  from  that  of 
55°  8'.  The  number  4  in  the  column  of  proportional  parts  over 
the  difference  16,  stands  opposite  15  in  the  adjacent  column  of 
minutes:  this  is  to  be  taken  for  the  required  number  of  se- 
conds. 55°  7'  15"  is  then  the  number  of  degrees,  minutes  and 
seconds  sought.  ? 

Table  or  Logarithms  of  Numbers  :  pp.  288-293. 

63.  This  is  a  table  of  logarithms  of  numbers  carried  to  five 
places  of  decimals.  The  logarithms  are  given  without  any  char- 
acteristics ;  and  to  be  fitted  for  use,  must  in  each  case  be  prece- 
ded by  a  decimal  point  and  the  proper  characteristic  as  deter- 
mined by  the  rule  in  Art.  6. 

To  find  by  this  table  the  logarithm  of  a  given  number. 

64  If  the  number  consist  of  three  significant  figures,  look  for 
them  in  a  column  headed  N :  then  in  the  next  column  headed 
Log.  and  opposite  those  figures  will  be  found  the  mantissa  of 
the  logarithm  sought. 

The  mantissa  of  the  logarithm  of  37.9  is  .57864,  and  the  whole 
logarithm  1.57864. 

If  the  number  has  only  two  significant  figures,  annex  a  cipher, 
or  if  it  has  only  one,  annex  two  ciphers,  and  then  proceed  as 
before. 


i 


f 


IMTRODUCTIOir. 

65.  If  the  nmiilyer  consists  of  more  than  three  significant  fig- 
ures, look  for  the  logarithm  answering  to  the  first  three  signifi- 
cant figures,  as  in  the  preceding  case :  and  then  if  these  figures 
are  found  on  one  of  the  first  three  pages  of  the  table,  look  oppo- 
site them  in  the  column  of  proportional  parts  under  the  fourth 
figure,  for  a  correction  which  is  to  be  added  to  the  logarithm  of 
the  first  three  figures ;  and  if  there  is  a  fifth  figure,  then  in  the 
column  under  this  and  opposite  the  first  three  figures  may  be 
found  a  number  which  divided  by  10  will  give  the  proper  addi- 
tional correction :  the  correction  due  to  a  sixth  figure  may  be 
found  in  a  similar  manner,  the  divisor  10  being  however  ex- 
changed for  100. 

To  find  the  logarithm  of  30. 1745. 

The  decimal  part  of  the  logarithm  of  301  is  47857  j  the  cor- 
rection for  7  is  101,  for  4,  5.7,  for  5.  .72 :  the  whole  correction 
therefor  is  107  neLly.  Then  47964  preceded  by  the  decimal 
point  and  the  proper  characteristic  viz.  1  is  the  logarithm  sought. 

But  if  the  first  three  figures  of  the  given  number  with  the  cor- 
responding logarithm  are  found  in  one  of  the  last  two  pages  of 
the  table,  look  on  the  right,  in  the  nearest  column  headed  D,  for 
the  difierence  between  this  and  the  following  logarithm ;  and 
look  for  the  same  difierence  on  page  293  under  the  heading 
jO.  in  the  table  of  difiierences  and  proportional  parts :  then  opposite 
this  difTerence,  and  under  the  fourth  figure  of  the  number  will  be 
found  the  cowection  due  to  that  figure,  and  under  the  fifth,  10 
times  the  correction  due  to  that,  and  under  the  sixth,  100  times 
the  correction  due  to  that ;  whence  may  tfe  easily  obtained  the 
whole  correction  which  added  to  the  logarithm  of  the  first  three 
figures  of  the  proposed  number  will  give  the  logarithm  sought. 

To  find  the  logarithm  of  7.41809. 

The  logarithm  of  741  as  given  in  the  table  is  86982;  the 
corresponding  difierence  in  the  column  headed  D.  is  58 ;  opposite 
this  difference  and  under  8,  in  the  table  of  differences  and  propor- 
tional parts  on  page  293,  stands  the  number  46,  which  is  the 
first  correction ;  and  under  9  stands  the  number  52,  one  hun- 
dredth of  which  is  the  next  correction :  the  whole  correction 
therefore  is  46.52  or  47  if  the  nearest  integer  be  taken,  and  the 
required  logarithm  is  .87029. 

In  seeking  the  number  which  corresponds  to  a  given  loga- 
rithm, the  next  table  should  be  used. 


TABLE      OP      ANTIL  OGARITHMS. 


(45) 


Table  op  Antilogarithms  :  pp.  294-299. 

66.  This  is  a  table  of  numbers  answering  to  given  logarithms. 
In  the  columns  headed  L.  are  the  mantissas  of  logarithms  carried 
to  three  places  of  decimals.  In  each  column  headed  Num.  are 
the  first  five  figures  of  the  numbers  belonging  to  the  mantissas  in 
the  preceding  column. 

To  find  by  this  table  the  number  answering  to  a  given  loga- 
rithm, 

67.  If  the  mantissa  of  the  logarithm  consist  of  only  three  decimal 
figures,  look  for  these  figures  in  the  column  headed  L.  then  in 
the  next  column  headed  Num.  and  opposite  those  figures,  will 
be  found  the  first  five  figures  of  the  required  number.  The 
characteristic  of  the  given  logarithm  will  show  where  to  place 
the  decimal  point  in  this  number. 

To  find  the  number  answering  to  the  logarithm  2.057. 

Opposite  the  decimal  .057  as  found  in  a  column  headed  L. 
stands  the  number  11402  in  the  succeeding  column  headed 
Num.  and  as  the  index  of  the  given  logarithm  is  2,  the  number 
sought  must  have  three  mtegral  figures :   it  is  therefore  114.02. 

68.  If  the  mantissa  of  the  given  logarithm  consists  of  more 
than  three  figures,  look  for  the  number  answering  to  the  first 
three  figures,  as  in  the  preceding  case :  and  then  if  these  figures 
are  found  on  one  of  the  last  four  pages  of  the  table,  look  oppo- 
site them  on  the  right  in  the  adjacent  table  of  proportional  parts 
and  in  the  column  under  the  fourth  figure,  for  a  correction  which 
is  to  be  added  to  the  number  answering  to  the  first  three  figures 
of  the  given  mantissa ;  and  if  there  is  a  fifth  figure  in  the  man- 
tissa, then  in  the  column  under  this,  will  be  found  a  number 
which  divided  by  10  is  the  proper  additional  correction :  if  there 
is  also  a  sixth  figure,  the  correction  due  to  that  may  be  found  in 
the  same  way,  except  that  the  divisor  10  must  be  changed  to  100. 

To  find  the  number  answering  to  the  logarithm  5.830309. 

Opposite  the  decimal  .830  in  the  table  is  the  number  67608,  and 
under  the  heading  3  in  the  table  of  proportional  parts  is  47,  the 
first  correction ;  under  9  is  141,  one  hundredth  of  which  is  another 
correction :  the  sum  of  the  two  is  48  nearly,  which  added  to  67608 
gives  67656 ;  and  as  the  index  of  the  logarithm  is  5,  the  number 
sought  must  have  six  integral  figures :  it  is  therefore  676560. 


< 


I 


fi§) 


INTRODUCTION, 


But  if  the  first  three  figures  of  the  given  mantissa  with  the 
number  corresponding,  are  found  on  one  of  the  first  two  pages 
of  the  table,  look  on  the  right  in  the  adjacent  column  head- 
ed D.  where  will  be  found  the  difference  between  that  and  the 
following  number,  and  look  for  the  same  difference  on  page  295 
in  the  table  of  differences  and  proportional  parts  under  the  head- 
ing D,  then  opposite  this  difference,  and  imder  the  fourth  figure 
of  the  mantissa,  will  be  found  the  correction  due  to  that  figure, 
under  the  Jijlhj  10  times  the  correction  due  to  that,  and  under 
the  sixth,  100  times  the  correction  due  to  that. 

To  find  the  number  belonging  to  the  logarithm  2.016439. 

The  number  answering  to  the  decimal  .016  in  the  table  is  10375 ; 
the  adjacent  number  in  the  column  marked  D.  is  24 ;  opposite 
the  difference  24  in  the  table  of  proportional  parts  on  page  295, 
stand  10  in  the  column  headed  4,  7  in  the  column  headed  3,  and 
22  in  the  column  headed  9 :  the  correction  to  be  added  to  10375 
is  therefore  10+.7+ 22,  or  11  nearly ;  and  as  the  index  of  the 
given  logarithm  is  -  2,  the  number  sought  must  be  .010386. 

Table  of  Logarithmic  Sines,  Tangents,  &;c.  pp.  300-322. 

69.  This  is  a  table  of  artificial  sines,  tangents,  &c.  to  every 
minute  from  QP  to  180°,  carried  to  five  places  of  decimals ;  and 
i,  designed  for  use  in  connexion  with  the  two  preceding  tables. 

To  fijid  by  this  table  the  mne,  tangent,  ^c.  of  a  given  numr 
her  of  decrees  and  minutes. 

Look  for  the  number  of  degrees  at  the  top  or  bottom  of 
one  of  the  pages;  and  according  as  this  number  is  on  the 
right  or  left,  look  on  the  right  or  left  for  the  number  of  min- 
utes :  then  opposite  the  minutes,  will  be  found  the  last  four  or 
five  figures  of  the  required  sine,  tangent,  &,c.  in  the  column 
having  the  corresponding  title  at  the  head  or  foot,  according  as 
the  degrees  are  found  at  the  top  or  bottom  of  the  page :  the 
preceding  figures  may  be  found  either  at  the  head  or  at  the 
foot  of  the  column  in  which  the  others  occur. 

Thus  the  tangent  of  %o  36'  is  found  to  be  10.93665.  In  this 
case  the  title  tan.  is  looked  for  at  the  bottom  of  the  page,  because  96° 
the  given  number  of  degrees  is  found  there,  and  the  minutes  are 
looked  for  in  the  left  hand  column,  as  96°  is  on  the  left  of  the  ac- 
companying number  83° 


TABLE     OF     LOGARITHMIC     SINES,      <feC, 


(47) 


(( 


U 


When  the  numbers  at  the  head  and  foot  of  a  column  are  not 
the  same,  tliey  are  marked  with  an  asterisk,  and  the  upper  or  the 
lower  one  is  to  be  prefixed  to  the  numbers  in  the  intervening 
column,  according  as  these  numbers  are  above  or  below  that  in 
which  occurs  the  character  ♦  standing  for  0.  This  immber  itself 
must  be  preceded  by  the  larger  of  the  two  numbers  marked  with 
the  asterisk. 

The  cotangent  of  172°  54'  is  10.90463, 

172°  50'"  10.90053, 
172°  33'"  10.88351. 

7'o  find  the  sine,  tangent,  ^c.  of  a  given  number  of  degrees, 
minutes  and  seconds. 

70.  If  the  number  of  degrees  is  0°,  89°,  90°  or  179°,  it  will  be 
found  at  the  beginning  of  the  table  on  page  300 ;  and  the  requi- 
red sine,  tangent,  ^c.  is  to  be  found  as  in  the  case  where  page 
156  is  employed.  The  method  of  using  that  page  is  pointed  out 
in  Arts.  51,  52,  (fcc.  One  or  two  examples  will  be  sufficient  to 
show  how  we  are  to  proceed  in  the  case  before  us. 

To  find  the  tangent  of  90°  23'  47". 

This  must  fall  between  the  tangents  of  90°  23'  and  90°  24'. 
Opposite  these  tangents  in  the  adjacent  column  stands  the  num- 
ber 42,  which  is  the  last  part  of  the  quantity  denoted  hj  q-\-n, 
the  first  part  viz.  15.314  being  at  the  top  and  bottom  of  the 
columns  headed  5' -f-?i.    15.31442  is  then  the  whole  value  of  q-\'n. 

The  number  of  seconds  in  the  left  hand  column  opposite  23' 
is  1380 ;  this  added  to  47  gives  1427,  the  logarithm  of  which  as 
obtained  from  page  289  is  3.15442:  this  is  the  value  of  n; 
hence  q  the  required  tangent  is  12.16000. 

To  find  the  cotangent  of  89°  31'  26". 

This  must  fall  between  the  cotangents  of  89°  31'  and  89°  32', 
opposite  which  in  the  adjacent  column  headed  q  —  n  are  the 
numbers  59  and  58,  the  former  of  which  preceded  by  the  figures 
4.685  over  and  under  the  column  headed  q—7i,  gives  4.68559  for 
the  value  of  ^  —  n.  In  the  column  of  seconds  is  the  number  1740 
opposite  31'  in  the  right  hand  column  of  minutes ;  which  column 
is  used  in  this  case  because  89°  is  a  right  hand  number  of  degrees. 
1740  diminished  by  26  gives  1714,  whose  logarithm  n  is  3.23401. 
The  required  quantity  q  is  therefore  7.91960. 

In  like  manner  the  cosecant  of  179°  46'  18"  will  be  found  to 
be  12.39956. 


Iff 


'\r 


ii 


(48) 


IHTEODUCTION. 


But  if  for  example  the  sine  of  90°  46'  42"  be  required,  it  is 
sufficient  to  look  for  it  as  the  sine  of  90°  47',  which  is  found  at 
once  to  be  9.99996. 

71.  All  of  the  table  except  the  part  just  noticed,  is  to  be  used 
according  to  the  following  directions. 

Find  the  sine,  tangent,  &c.  of  the  given  degrees  and  minutes, 
and  according  as  this  is  less  or  is  greater  than  the  one  required, 
correct  it  for  the  additional  seconds,  by  adding  or  by  subtracting 
the  number  in  the  adjacent  column  headed  d.  that  stands  op- 
posite the  given  number  of  seconds  as  found  in  the  left  hand 
column  of  minutes. 

If  however  the  sine,  tangent,  &c.  of  the  given  degrees  and 
minutes  be  found  on  on©  of  the  first  eight  pages  of  the  table, 
correct  it  by  adding  or  subtracting  the  product  of  the  given  num- 
ber of  seconds  into  the  number  in  the  adjacent  column  headed 
d.  1",  that  stands  between  the  tabular  sine,  tangent,  &,c.  next 
greater  and  that  next  less  than  the  required  one. 

To  find  the  cotangent  of  72°  36'  42 '. 

The  cotangent  of  72°  36'  is  9.49607:  and  in  the  proper  column 
headed  d.  is  the  number  31  opposite  42  in  the  left  hand  column 
of  minutes.  31  subtracted  from  9.49607  leaves  9.49576  for  the 
cotangent  sought. 

To  find  the  cosine  of  99°  27'  44".6. 

The  cosine  of  99°  27'  is  9.21534;  the  product  of  44.6  into 
1.27  the  difference  for  1"  as  found  in  the  table  is  57  nearly, 
which  added  to  9.21534  gives  9.21591  for  the  cosine  required. 

To  find  the  secant  of  166°  41'  38". 

This  must  fall  between  the  secants  of  166°  41'  and  166°  42' 
which  are  10.01184  and  10.01181,  their  difference  being  3:  as 
this  is  a  difference  for  an  interval  of  one  minute,  /^  or  •s\  must 
1)©  the  difference  for  1" ;  this  multiplied  by  38  is  |  §  or  2  nearly, 
which  taken  from  10.01184,  leaves  10.01182  for  the  secant 
sought. 

This  example  is  designed  to  show  how  we  are  to  proceed  in 
all  cases  when  the  differences  for  1"  aie  not  to  be  found  in  the 
table. 

T&Jind'  the  number  of  degrees ^  minutes  and  seconds  belonging 
to  a  given  sine,  tangent j  ^c. 

72.  Look  for  the  given  sine,  tangent,  &c.  in  a  column  having 
the  appropriate  title  at  the  top  or  bottom,  and  if  it  be  found  there. 


TABLE     OF     LOGARITHMIC     SINES,     &C. 


(49) 


the  required  number  will  consist  of  degrees  and  minutes  only : 
then  look  for  the  degrees  at  the  top  or  bottom  of  the  page,  ac- 
cording as  the  name  of  the  given  quantity  is  at  the  top  or  bottom 
of  the  column  in  which  it  is  found ;  and  look  for  the  minutes 
on  the  right  or  left,  according  as  the  right  or  left  hand  number 
of  degrees  is  taken  for  the  required  one. 

Thus  if  the  quantity  given  is  the  secant  10.50004,  we  find  it 
on  page  309,  in  a  column  having  the  title  sec.  at  the  bottom. 
The  number  of  degrees  found  there  is,  on  the  left  hand  108°, 
and  on  the  right  71° ;  and  the  number  of  minutes  is  26'  or  34', 
according  as  it  is  found  on  the  left  or  on  the  right.  The  given 
number  is  therefore  the  secant  of  108°  26'  or  71°  34'. 

73.  But  if  the  given  sine,  tangent,  &c.  is  not  to  be  found  ex- 
actly in  the  table,  look  for  the  two  consecutive  ones  between 
which  it  falls,  and  taking  that  which  is  opposite  the  least  num- 
ber of  minutes,  find  the  corresponding  number  of  degrees  and 
minutes,  and  for  the  additional  number  of  seconds  due  to  the 
difference  between  the  given  sine,  tangent,  &c.  and  the  tabular 
one  just  specified,  look  in  the  left  hand  column  of  minutes  oppo- 
site this  difference  as  found  in  the  appropriate  column  headed  d. 

Thus  if  the  number  of  degrees,  minutes  and  seconds  whose 
cosine  is  9.49741  be  sought,  we  readily  find  for  the  required 
nmnber  of  degrees  and  minutes  71°  40',  whose  cosine  is  9.49768, 
exceeding  the  given  cosine  by  27:  then  in  the  left  hand  column 
of  minutes,  and  opposite  27  in  the  appropriate  column  headed  d. 
we  find  43  for  the  required  number  of  seconds.  The  number 
sought  is  therefore  71°  40'  43". 

If  108°  be  taken  for  the  degrees  instead  of  71°,  the  minute* 
will  be  19'  and  the  seconds  17"  or  18". 

When  the  required  number  of  degrees  and  minutes  is  found 
on  one  of  the  first  eight  pages  of  the  table,  the  additional  seconds 
are  not  to  be  found  in  the  manner  above  indicated ;  but  to  obtain 
them,  we  must  divide  the  difference  between  the  given  sine,  tan- 
gent, &c.  and  the  sine,  tangent,  &;c.  of  the  required  nmnber  of 
degrees  and  minutes,  by  the  difference  for  1"  as  found  in  the  ap- 
propriate column  headed  d.  1".  Thus  if  the  degrees,  minutes 
and  seconds  corresponding  to  the  cotangent  10.99208  be  sought, 
we  find  5°  48'  for  the  required  degrees  and  minutes,  the  cotan- 
gent of  which  is  10.99321,  exceeding  the  given  cotangent  by 

G  5 


H 


i 


^ 


(50)  I M T  ,R  0'  D  U  C  T I  O  M, 

113;  this  diFided  by  2.10  the  difference  for  1"  as  found  in  the 

table,  gives  54  nearly  for  the  required  number  of  seconds. 
To  find  the  degrees,  minutes  and  seconds  whose  cosecant  is 

10.00626. 

This  falls  between  10.00628  and  10.00625,  the  cosecants  of 
80^  17'  and  80°  18',  the  former  of  which  exceeds  the  latter  by 
3  and  exceeds  the  given  cosecant  by  2 :  and  as  3  is  the  differ- 
ence for  1'  or  60",  the  number  of  seconds  to  which  the  difference 
2  is  due,  must  be  |  of  60. 

The  number  required  is  therefore  m°  17'  40". 

This  example  will  serve  to  show  how  we  are  to  proceed  in  all 
cases  when  the  differences  for  1"  are  not  given  in  the  table. 

74  Lastly,  if  the  required  number  of  degrees  is  found  to  be 
either  0^,  89^,  90^  or  179^,  look  opposite  the  sine,  tangent,  &c. 
nearest  the  eiven  one,  for  the  corresponding  value  of  g  -  w  or 
,+n  in  the  adjacent  colun^n,  and  subtract  the  given  quantity  from 
q-l-n  or  dimimsh  it  by  ^-w  as  the  case  may  be,  to  obtam  n 
the  logarithm  of  a  number  of  seconds.  Then  having  found  the 
required  number  of  degrees  and  minutes,  look  opposite  the  min- 
utes and  in  the  column  on  the  left,  for  a  number  of  seconds : 
the  difference  between  this  and  the  number  whose  logarithm 
is  11,  will  be  the  number  of  seconds  reqijired. 

Thus  if  the  degrees,  minutes  and  seconds  answering  to  the 
cotangent  7.96304  be  required ;  we  find  the  nearest  cotangent  to 
be  7.96889,  and  the  corresponding  value  of  ^  -  n  to  be  4.68559 ; 
which  taken  from  the  given  cotangent  leaves  3.27745  for  the 
value  of  fi.  The  number  answering  to  this  logarithm  is  1894.3, 
as  may  be  readily  found  from  the  table  of  antilogarithms.  The 
required  number  of  degrees  and  minutes  is  89°  28',  and  1920  is 
the  number  of  seconds  on  the  left,  opposite  28'.  The  required 
number  of  seconds  therefore  is  25".7,  which  is  the  difference  be- 
tween 1920"  and  1894".3. 

If  however  the  given  number  belong  to  one  of  the  two  colmnns 
headed  sec.  and  cm,  the  required  number  is  to  be  found  directly 
by  inspection.  Thus  if  the  cosecant  10.00004  be  the  number 
given,  we  shall  find  it  in  the  table  with  89°  11',  89°  12',— 89°  16', 
for  correspnding  numbers ;  either  of  which  or  rather  the  mean 
of  them  viz.  89°  13'  30"  may  be  taken  for  the  number  sought. 


TBAVERSE     TABLE. 


(51) 


Traverse  Table,   or  Table  of  Departure  and  Difference 

OF  Latitude  :  pp.  323-329. 

75.  In  this  table  are  given  the  differences  of  latitude  and  the 
departures,  to  four  or  five  places  of  decimals,  for  distances  from  1  to 
9  inclusive,  and  for  courses  or  bearings  from  0°  to  90°  at  intervals 
of  15',  as  also  for  each  of  the  32  quarter  points  of  the  quadrant. 

These  distances  may  be  reckoned  as  tens^  hundreds,  thou- 
sands,  &c.  or  tenths,  hundredths,  thousandths,  &c.  if  the  posi- 
tion of  the  decimal  point  in  each  departure  and  difference  of  lati- 
tude in  the  table  be  changed  accordingly. 

To  find  the  departure  and  difference  of  latitude  for  a  given  dis- 
tance and  hearing. 

If  the  given  bearing  is  less  than  45°,  look  for  it  on  the  left  in 
one  of  the  pages  of  the  table,  and  look  for  the  distance  at  the  top 
or  bottom  of  the  page :  then  over  or  under  the  distance  and  oppo- 
site the  bearing,  will  be  found  the  difference  of  latitude  in  the 
column  headed  diff.  lat  and  the  departure  in  the  next  column : 
but  if  the  bearing  is  more  than  45°,  look  for  it  on  the  right :  and 
then  for  the  difference  of  latitude,  look  in  the  column  over  the 
title  diff.  lat.  and  look  for  the  departure  in  the  preceding  column. 

Thus  for  the  bearing  10°  45'  and  the  distance  7,  the  difference 
of  latitude  and  the  departure  will  be  found  to  be  6.8772  and 
1.3057,  respectively. 

And  for  the  bearing  63°  30'  with  the  distance  30=3  tens,  the 
difference  of  latitude  and  the  departure  are  13.3859  and  26.8480. 

When  the  given  distance  has  more  than  one  significant  figure, 
find  the  departure  and  difference  of  latitude  for  each  numeral 
figure  of  the  distance,  having  regard  to  its  local  value,  and  take 
the  sum  of  the  several  differences  of  latitude  thus  found,  for  the 
whole  difference  of  latitude,  and  the  sum  of  the  several  depart- 
ures for  the  whole  departure. 

Thus,  if  with  the  bearing  54°  15'  there  be  given  the  distance 
63.049,  we  shall  find  the  differences  of  latitude  for  the  parts 
of  the  distance  represented  by  the  several  figures  6,  3,  4,  9  to  be 
35.055,  1.75275,  .02337,  .0052582:  then,  neglecting  a  i^w  of 
the  last  decimal  figures,  we  may  take  the  sum  of  35.055,  1.7527, 
.0234  and  .0053,  (which  is  36.8364,)  for  the  required  difference 
of  latitude.     The  departure  found  in  like  manner  is  51.1685. 


fit' 'II 


II  t'it.1 


(Hi) 


INTRODUCTION. 


I.      fHil 


If  the  given  bearing  falls  between  two  consecutive  bearings  in 
tlie  table,  the  departure  and  difference  of  latitude  may  be  found 
by  interpolation  in  the  usual  way. 

Thus  if  the  distance  be  4  and  the  bearing  be  6°  20',  we  shall 
ind  the  difference  of  latitude  to  be  3.97558  and  the  departure 
0.44125. 

76.  The  traverse  table  will  serve  to  show  the  comparative 
values  of  the  parts  of  any  right  angled  triangle  :  for  if  the  hypot- 
enuse be  regarded  as  a  distance,  and  one  of  the  acute  angles  as  a 
bearing,  the  opposite  side  will  be  the  corresponding  departure,  and 
the  remaining  side  the  difference  of  latitude. 

Of  the  four  quantities,  distance,  bearing,  departure,  and  differ- 
ence of  latitude,  if  any  two  be  given,  the  others  corresponding  to 
these  may  be  readily  obtained.  They  are  to  be  looked  for  at  the 
place  in  the  table  where  the  two  given  ones  shall  be  found  to 

COTOSpOOd. 

Thus  if  there  be  given  the  departure  3.90518  and  the  differ- 
ence of  latitude  0.86576,  4  will  be  found  for  the  corresponding 
distance,  and  77°  30'  for  the  bearing. 

If  the  two  given  quantities  cannot  be  found  corresponding 
exactly  in  the  table,  the  required  quantities  must  be  obtained  by 
interpolation. 

Table  of  Meeidional  Parts  :  pp.  330-337. 

77.  This  is  a  table  giving,  to  every  minute  of  latitude,  the 
length  of  Mercator's  meridian  expressed  in  geographical  miles  or 
minutes  of  an  arc  at  the  equator.  The  miles  in  the  length  of  this 
meridian  for  any  latitude,  are  called  the  meridional  parts  for  that 
latitude.  These  parts  carried  to  tenihSj  are  placed  in  the  table 
under  the  degrees  and  opposite  the  minutes  of  the  corresponding 
latitudes.  Thus  the  meridional  parts  for  the  latitude  3°  40'  are 
220.2,  and  for  30°  27'  they  are  1919.6. 

Workman's  Table  for  correcting  Middle  Latitude  :  p.  338. 

78.  If  the  departure  made  by  a  ship  in  sailing  on  a  single  course 
from  one  parallel  of  latitude  to  another,  be  reckoned  in  degrees, 
minutes  and  seconds  upon  a  parallel  whose  latitude  is  a  mean 
between  the  latitude  left  and  the  one  arrived  at,  it  will  correspond 


workman's   table. 


(63) 


nearly  with  the  difference  of  longitude  made  by  the  ship.  But 
that  the  correspondence  may  be  exact,  the  departure  must  be 
reckoned  upon  a  parallel  whose  latitude  is  somewhat  greater  than 
the  middle  latitude  just  mentioned.  The  table  in  question  is  de- 
signed to  furnish  for  the  most  important  cases,  the  correction  that 
must  be  added  to  the  middle  latitude  to  give  this  greater  latitude. 

The  correction  may  be  found  in  minutes,  by  looking  under 
the  difference  of  the  two  given  latitudes  and  opposite  the  middle 
latitude. 

Thus  if  the  two  latitudes  concerned  are  37°  and  53°,  the 
middle  latitude  is  45°,  the  difference  of  latitude  16°,  and  the  re- 
quired correction  35' ;  which  added  to  the  middle  latitude  gives 
45°  35'  for  the  middle  latitude  corrected. 


Tables  :  pp.  339,  340. 

79.  The  use  of  the  Table  for  computing  Compound  Interest 
is  too  obvious  to  require  any  illustration. 

80.  The  use  of  the  Tables  for  interchanging  Common  and 
Hyperbolic  Logarithms  may  be  learned  from  the  three  follow- 
ing examples. 

(1.)  The  common  logarithm  of  a  number  being  2.840651,  to 
find  the  hyperbolic  logarithm  of  the  same  number,  with  nine  or 
ten  decimal  figures. 

% 46051701860 

.8 1.8420680744 

.04   .....        .  0.0921034037 

.0006    .....  0.0013815511 

.00005 0.0001151293 

.000001         ....  0.0000023026 


2.840651 


6.5408406471 


If  the  given  logarithm  has  a  negative  characteristic,  we  may 
proceed  as  in  the  following  case. 

6* 


■I 

I 


(54) 


INTRODUCTION. 


(2.)  To  convert  the  common  logarithm  6.89042  into  a  hyper- 
boMc  logarithm  carried  to  the  tenth  decimal  place. 


6.89042= -5.10958 

5 

.   11.5129254650 

•.1   . 

0.2302585093 

.009 

.   0.0207232658 

.0005 

0.0011512925 

.00008  . 

...   0.0001842068 

-5.10958 

.   -11.7652427394 

=  12.2347572606 

(3.)  The  hyperbolic  logarithm  of  a  number  being  3.0290119, 
to  find  the  corresponding  common  logarithm  with  ten  decimal 
figures. 

3 1.302S834457 

.02        .....  0.0086858896 

.009 0.0039086503 

.00001           ....  0.0000043429 

.000001 0.0000004343 

.0000009       ....  0.0000003909 


3.0290119  . 


1.3154831537 


81.  To  show  the  use  of  the  Table  for  finding  the  lengths  of 
Circular  Arcs  the  following  example  will  be  sufficient. 

To  find  the  length  of  an  arc  of  207^  41'  38".09,  with  twelve 
decimal  figures. 


200°       . 

70 

1' 

30"       . 

o     .         .        . 
0".09  . 

2070  41' 38".09   . 


3.490658503989 
0.122173047640 
0.011635528347 

0.000290888209 
0.000145444104 
0.000038785094 
0.000000436332 

3.624942633715 


82.  With  regard  to  the  two  tables  on  page  340,  no  explana- 
tion is  necessary. 


I 


LOGARITHMS  OF  NUMBERS. 


I 


N.    iMg, 


N. 


hos. 


I 

2 

J 

4 

5 

j6 

7 
8 

_2 

II 
I? 

i3 

i4 
i5 
i6 

17 
i8 

12 

21 
22 
23 

24 
25 

26 

27 
28 

29 
37 

32 

33 

34 
35 
36 

3? 
38 
39 

4i 
42 
43 

44 
45 
46 

4i 
48 
49 
5i 

52 

53 

54 
55 
56 

57 
58 
59 

61 
62 
63 

64 
65 
66 


0000000 
3oi  o3oo 
477  12x3 


6020600 
698  9700 
778  i5i3 


845  0980 
903  0900 
954  2425 


o4i  3027 
079  181 2 
1 1 3  9434 


i46  1280 
1760913 
204  1 200 


23o  4489 
255  2725 

278  7536 


322  2193 

342  4227 

36i  7278 


38o  2112 
397  9400 
4149733 


43 1  3638 
447  i58o 
462  3980 

491  3617 
5o5  1 5oo 
5i8  5i39 


53 1  4789 
544  0680 
556  3o25 


568  2017 
579  7836 
591  0646 


612  7839 
623  2493 
633  4685 


643  4527 
653  2125 
662  7578 


672  0979 
681  2412 
690  1961 


707  5702 
7160033 
724  2759 


732  3938 
740  3627 
748  1880 


755  8749 
763  4280 
770  8520 


785  3298 
7923917 
799  34o5 


806  1800 
812  9134 
8195439 


67 
68 

69 


71 
72 

73 


74 
75 
76 


77 
78 

79 


81 
82 
83 


84 
85 
86 

"87 
88 
89 

"9^ 

93 


94 
95 

96 


9Z 
98 

99 


01 
02 
o3 


o4 
o5 
06 


07 
08 
09 


II 
12 
i3 


i4 
i5 
16 


17 
18 

19 


21 

22 

23 


14 

25 

26 


27 
28 
29 


3i 

32 

33 


826  0748 
832  5089 
838  8491 


85i  2583 
857  3325 
863  3229 


869  23  r  7 
8750613 
880  8 1 36 


886  4907 
892  0946 
897  6271 


908  485o 
913  8139 
919  0781 


924  2703 
9294180 
934  4985 


939  5193 
944  4827 
949  3900 

9590414 
963  7878 
968  4829 


9731279 
977  7236 
982  2712 


9867717 
991  2261 
995  6352 


oo4  32i4 
0086002 
012  8372 


0170333 
021  i8o3 
025  3o59 


029  3838 
o33  4238 
o37  4265 


o45  323o 
0492180 
o53  0784 


o56  9049 
0606978 
064  458o 


068  1859 
071  8820 
075  5470 


082  7854 
0863598 
0899051 


0934217 
0969100 
1000705 


io3  8o37 
107  2100 
1105897 


117  2713 
1205739 
123  85i6 


35 
36 


LO! 


»• 


N. 


37 
38 
39 


4i 

42 
43 


44 
45 

46 

47 
48 

49 


5i 

52 

53 


54 
55 

56_ 

57 
58 
59 


61 
62 

63 


64 
65 
66 


67 
68 
69 


71 

72 

73 


74 
75 
76 


77 
78 

79 


8i 
82 
83 


84 
85 
86 


87 
88 
89 


91 
92 

9i 
94 

95 
96 


N.   Log. 


N. 


Lost* 


P 
^ 


27  io48 
3o  3338 
33  5389 


367206 
398791 
43oi48 


49  2191 
52  2883 
55  336o 


58  36'^5 
61  368o 
64  3529 


67  3173 
70  2617 
73  1 863 


78  9769 
81  8436 
846914 


87  5207 
903317 
93  1246 


95  8^97 

986D7! 

201  3971 


2068259 
209  5i5o 
212  1876 


214  8438 
2174839 
220  1081 


222  7165 

225  3093 

227  8867 


232  9961 

235  5284 
238  0461 


240  5492 
243  o38o 
245  5 1 27 


247  9733 
25o  4200 
252  853o 


257  6786 
2600714 
262  45 1 1 


2648178 

267  1717 
269  5 129 

271  8416 
274  1578 
2764618 


281  o334 
283  3oi2 
285  5573 


2878017 
290  o346 
292  256r 


294  4662 
2966652 
2988531 


201 
202 
2o3 


204 

2o5 

206 
207 

208 

209 

211 
212 
2l3 

2l4 
2l5 

216 


217 
218 
219 


221 
222 
223 


224 
225 
226 

227 
228 
229 

23l 
232 

233 


234 
235 
236 

237 
238 
239 


241 
242 
243 


244 
245 

946 


247 
248 
249 


25l 

252 

253 


254 

255 
256 


257 
258 
259 

261 
262 
263 

265 
266 


^Log. 

3o3  i^i 

3o5  3rji4 
307  4960 

309  63o2 
3i  I  7539 
3i3  8672 

3 1 5  9703 
3i8o633 
320  1 463 


324  2825 
326  3359 
328  3796 


33o4i38 
332  4385 
334  4538 


3364597 
338  4565 
340  444 1 


344  3923 
346  353o 
348  3o49 


35o  2480 
352  1825 
354  ro84 

3560259 
357  9348 
3598355 

363  6 1 20 
365  4880 
367  3559 


369  2 1 59 

371  0679 

372  9120 


374  7483 
376  5770 
378  3979 


3820170 
383  81 54 
385  6(,63 


387  3898 
389  1661 
3909351 


392  6970 

3944517 
396  1993 


3996737 
4oi  4oo5 

403  i2o5 

404  8337 
406  5402 
4o8  2400 


4099331 
4ii  6197 
4i3  2998 

4i6  64o5 
4i8  3oi3 
4199557 


421  6039 
423  2459 
4248816 


267 
268 
269 


271 
272 
273 


274 
275 
276 


277 
278 
279 


281 
282 
283 


284 
285 
\   286 


287 
288 
289 

291 
292 
293 


294 
295 
296 


T<o?. 


IV. 


Los. 


297 
298 

399 

3oi 
3o2 
3o3 

"3o4" 
3o5 
3o6 

3o7 
3o8 
309 

3l2 

3i3 

liT 
3i5 
3i6 

3i8 
319 

321 
322 

323 

"324" 

325 
326 

327 
328 
329 

~^ 

332 

J33^ 


Lo^. 

426  5i ]3 
428  1 348 
4297523 


432  9693 

434  5689 

436  1626 

437  75o(J 
439  3327 
4409091 

442  4798 
A44  0448 
445  6042 

4487063" 

450  2491 

45 1  7864 

4531781 
454  8449 
456  366o 

4578819 

459  3925 

460  8978 

463  8930 
465  3829 
4668676 

46r3473 
4698220 

471  2917 

472  7564 
474  2 1 63 
4756712 

4783665" 

480  0069 

481  4426 

4828736 
4842998 
485  7214 

487  1 384 

488  5507 

489  9585 

492  7604 

494  '  546 

495  5443 

4969296 
498  3io6 
4996871 

5oi  0593 
5o2  4271 
5c)3  7907 

506  5<^5o 

507  8550 
509  2025 

5io  545o 
5ii8834 
5 1 3  2 1 76 

5145478 
5i5  8738 
5i7 1959 

5198280 

521  i38i 

522  444"^ 


ii 


^  'I 


liOJ. 


3               LO'OABlTHIfS  OF  NUMBERS. 

N.   IjOg.    H.    hog*        If.    LofE.    N.    I#og.    If.   Log. 

334 
335 
336 

337 
338 
339 

341 
34a 
343 

344 

345 
346 

347 
348 

349 

35 1 
35a 
353 

3'54 
355 
356 

357 
358 

359  ■■ 

36i 
36a 
363 

364 
365 

366 

367' 
368 
369 

371 

37a 
373 

374 

375 
376 

377 
378 

379 

38i 
^38a 
383 

384 
385 
386 

387 
388 

#^ 
391 

392 

393 

394 
395 

396 

397 
398 

399 

5a3  7465 
5a  5  «>448 
526  3393 

4oi 
4oa 
4o3 

404 
4o5 
4o6 

407 
408 
409 

4ii 
ill 
4i3 

4i4 

4i5 
4i6 

417 
4i8 
419 

4a  1 

433 
423 

41^ 
426 

4a7 
4a8 
4i9 

43i 
432 
433 

434 

435 
436 

437 
438 
439 

44i 
44a 
443 

A44 
445 
446 

447 
448 

449 

45 1 

453 
453 

454 

455 
456 

457 
458 

459 

461 
463 
463 

464 
465 
466 

6o3  1 444 
6i>4  3361 

605  3o5o 

606  38r4 

6074550 
6o8  5a6o 

467 
468 
469 

471 
472 
473 

474 
475 
476 

477 
478 

479 
48 1 
48a 
483 

484 
485 
486 

487 
488 
489 

491 
493 
493 

494 
495 
496 

497 

498 
499 

5oi 
5oa 
5o3 

5o4 
5o5 
5o6 

5o7 
5o8 
509 

5ii 

5J3 

5i3 

5i4 

5i5 
5i6 

5i7 
5i8 
519 

531 

5a  3 
523 

524 
5a5 
526 

527 
5a8 
529 

53i 
532 

533 

6693169 

670  3459 

671  1738 

534 
535 
536 

537 
538 
539 

541 
54a 
543 

544 
545 
546 

547 
548 
549 

55i 
552 
553 

554 
555 
556 

557 
558 
559 

56i 
562 
563 

564 
565 
566 

567 
568 
569 

571 
573 
573 

574 
575 
576 

577 
578 

579 
58i 
582 
583 

584 
585 
586 

588 

589 

592 
593 

594 
595 
596 

597 
598 
599 

727  54i3 

728  3538 

729  1648 

7399743 

730  7823 
73i5888 

733  1973 
733  9993 

7347998 
7355980 

736  3965 

737  1926 

601 
60a 
6o3 

604 
6o5 
606 

607 
608 
609 

611 
6ia 
6i3 

6i4 
6i5 
616 

617 
618 
619 

621 

622 
623 

62T 
635 
6a6 

627 
628 
639 

63 1 
633 
633 

634 
635 
636 

637 
638 
639 

641 
64a 
643 

644 
645 
646 

647 
648 

649 
65i 
652 
653 

654 
655 
656 

657 
658 
659 

66i 
662 
663 

664 
665 

666 

778  8745 

779  5965 

7803173 

781  o3()9 

781  7554 

782  4726 

783  1887 
783  9o36 
7846173 

786041a 

7867514 

787  46o5 

788  1684 
7888751 

789  58«.7 

790  2b  52 
7909885 

791  6906 

7930916 
793  79' »4 
7944880 

795  1846 
795  88tx) 
79'i5743_ 

797  2675 
7979596 

798  65i^ 

8cxj  0294 
8007171 
801  4o37 

803  0893 

803  7737^ 
8034571 

8o4l394~ 

804  8207 

805  5009 

806  85Ho 

807  535o 

808  2110 

808  8859 

809  5597 
8102325 

8109043 
811  5750 
8122447 
8i3  58io 
814  2476 
8149133 

8155777 
8162413 
8169038 

817  5654 
8182259 
8188854 

820  201 5 
820  858o 
82i5i35 

82a  1681 
8a2  8216 
823  474a 

5a76a99 
52891 '67 
5301997 

673  0309 
6739430 

674  861 1 

675  7783 
676(>936 
677  6c»70 

532  7544 
534oa6i 
535  2941 

609  5944 
6106602 

61 1  7233 

536  5584 
5378191 

5390761 

6i3  84i8 

6148972 
6159301 

6170003 

6i8o48i 
6190933 

6785184 

6794a79 
68o33S5 

540  3295 

54 1  5792 
54a  8254 

()82  i45i 
683  0470 
683  9471 

737  9873 
7387806 
7395723 

545  3071 

54654a7 
5477747 

630  i36i 

621  1763 
633  2i4o 

684  8454 

685  7ii7 
6866363 

74i  i5i6 
74 1  9301 
7437351 

"  549  oo33 
55oaa84 

55 1  45oo 

634  2821 
6a5  3ia5 
6-j6  3404 

627  3659 
6a8  3889 
629  4096 

63<>  4279 

63 1  4438 

632  4573 

687  5290 
6884198 
6893089 

7435098 

744  2930 

745  0748 

745  8552 
746634a 
7474118 

55a  668a 
553  8830 
5550944 

691  o8j5 
691  9651 
6928469 

557  507a 
5587086 
5599066 

693  7269 
6946052 
6954817 

748  9629 

749  7363 

750  5o84 

75 1  2791 

752  o484 
7528164 

753  5831 

754  3483 

755  I  1 33 

7566361 
7573960 
758  1 546 

56i  1014 

562  2929 

563  481 1 

634  4773 

635  4837 

636  4879 

6963564 

697  2293 

698  i{X)5 

6998377 

700  7037 

701  568o 

5646661 
5658478 

567  oa64 

6374897 
638  4893 
6394865 

5693739 

570  5429 

571  7088 

6404814 
64i  474i 
642  4645 

6444386 
6454333 

646  4o37 

702  43o5 

703  2914 

704  i5o5 

572  8716 
574o3i3 
575  1878 

70  5  0080 

705  8637 

7067178 

7589119 
7596678 
7604325 

761  1758 
761  9278 
76a  6786 

5763414 
577  49*8 
5786392 

647  383o 

648  3600 
6493349 

7084209 
7092700 
710  1174 

58o  9250 
58ao634 
5831988 

650  3075 

65 1  3780 

652  2463 

7109631 
711  8073 
7126497 

7134905 
7143298 
7151674 

764  1761 

764  9a  3o 

765  6686 

584  33 1  a 

585  4607 
5865873 

654  1765 

655  i384 
6560983 

7664128 
767  1559 
7678976 

587  71 10 

588  8317 
5899496 

657  0559 
658oii4 
6589648 

7168377 

7176705 

718  5oJ7 

7193313 
720  1 593 
720  9857 

7686381 

769  3773 

770  1 1 53 

771  5875 
7723217 
773  o547 

773  7864 
7745170 
775  2463 

775  9743 
7767012 
777  4a68 

5931768 
5932861 
5943936 

659  916a 
6608655 
661  8137 

595  496a 
5965971 
597695a 

663  7009 
6646430 
665  58IO 

721  8106 

722  6339 

723  4557 

598  7905 
5998831 
6009739 

6665i8o 
6674530 
6'  8  3859 

7350945 
7359116 
726  727a 

N. 

I«fif«    Pf.  Im%,        M.    Ijoit.   W.   lios:.    Pf.   Tio^.   | 

117 


667 
668 
669 

671 
67a 
673 


674 
675 
676 


677 
678 

679 


681 
682 
683 


684 
685 
686 


687 
688 
689 

691 
69a 
693 


694 
695 
696 


697 
698 

699 
701 
702 
7o3 


704 

705 
706 


707 
708 

7t>9 

711 

712 

111 
714 
7'5 
716 

-^ 

718 

7'9 

721 
723 
733 

724 
725 
726 

727 
728 
729 


73 1 
732 
733_ 


LOGARITHMS     OF     NUMBERS. 


1.0 


»• 


8241258 

824  7765 

825  4261 


826  7225 

827  3693 
8280151 


828  6599 

829  3o38 
829  9467 


830  5887 

83 1  2297 
83 1  8698 


833  i47» 

833  7844 

834  4207 


835o56i 
8356906 
836  3241 


836  9567 

837  5884 
8382192 


839  4780 

840  1061 
84o  7332 


84 1  3595 
84 1  9848 
8426092 


843  2328 

843  8554 

844  4772 


8457180 
846  3371 
8469553 


847  5727 

848  1 89 1 
848  8047 


8494194 
85()o333 
85o  6462 


85 1  8696 

852  48' K) 

853  0895 


853  6982 

854  3o6o 
854  9i3o 


8555192 

856  1244 
856  7289 


857  9353 

858  5372 
8591383 

8597386 
86o338o 
8609366 


861  5344 

862  i3i4 
862  7275 


8639174 

864  5 11 1 

865  io4o 


Log:. 


Jf._ 

734 
735 
736 

737 
738 

739 

74 1 

742 

743 

744 
745 
746 

747 
748 

749 


IiO£ 


N« 


liOS 


75 1 

752 

753 


754 
755 

756 


757 
758 
759 


761 
762 
763 


764 
765 
766 

767 
768 

769 

771 
772 
773 

774 
775 

776 

777 
778 

779 
781 
782 
783 


784 
785 
786 


787 
788 

789 
791 
792 

793 

794 
795 

796 

797 
798 

799 


865  6061 

866  2873 
866  8778 


867  4675 

868  o564 
868  6444 


8698182 
870  4o39 
870  9888 


871  5729 

872  1 563 
872  7388 


873  3206 
8739016 
8744818 


875  6399 
8762178 

876  7950 

8773713" 

877  9470 
8785218 


879  0959 

879  6692 

880  2418 


881  3847 

881  9550 

882  5245 


883  0934 

883  6614 

884  2288 


884  7954 

885  3612 
885  9263 


887  o544 
8876173 

888  1795 

8887410 
8893017 
8898617 


8904210 

890  9796 

891  5375 


892  65ro 

893  2068 
8937618 


894  3 1 61 

894  8697 

895  4225 


895  9747 

896  5262 

897  0770 


898  1765 

898  7252 

899  2732 

899  82o5~ 

900  3671 
900  91 3 1 


90c  4583 
902  0029 
902  5468 


801 
802 
8o3 

804 
8o5 
806 

807" 

808 

809 


811 
813 
8i3 

814 
8i5 
816 


817 
618 
819 

822 
823 

824 
825 
826 

■8^ 

828 

829 

837 

832 

833 

834 
835 
836 

837 

838 

839 

84? 

842 

843 

84J 

845 

846 

847 
848 

849 
85 1 
852 
853 

854" 

855 

856 


857 
858 
859 

"86? 

862 

863 

"864" 

865 

866 


903  6325 

904  1744 
9047155 


905  256o 

905  7959 

906  3j5o 


9068735 
9074114 
9(J7  9485 


909  0209 
909  556o 
9100905 


9106244 
911  1576 
911  6902 


912  2221 

912  7533 

913  2839 


9143432 
914871b 
91 5  3998 


915  9272 
9164539 
9169800 


9175055 
9i8o3o3 
9185545 


9196010 
920  1233 
920  645o 


921  1661 
9216865 

922  2o63 


922  7255 

923  2440 
923  7620 


9247960 

925  3l2I 

925  8276 

926  3424 

926  8567 

927  3704 


927  8834 

928  3959 
928  9077 


929  9296 

930  4396 
930  9490 


931  4579 

931  9661 

932  4738 


932  9808 

933  4873 
933  9932 


935  oo32 
935  5073 
9360108 


936  5 1 37 
9370161 

937  5179 


N*   liOs 

867" 

868 

869 


If, 


871 
872 
873 


874 
875 
876 

"877" 
878 

879 

881 
882 
883 


884 
885 
886 


887 
888 
889 


891 
892 
893 


894 
895 
896 


897 
898 
899 


901 
902 
903 


904 
905 
9(j6 

907 
908 

909 
911 
912 
913 


914 
915 
916 

917 
918 
919 


921 
92  a 

i,23 


924 
925 
926 

927 
928 

929 


931 
933 

933 


9380191 
938  5197 
9390198 

9400182 

940  5 1 65 

941  0142 


941  5ii4 
9420081 

942  5o4i 


9429996 
943  4945 

943  9889 

944  9759' 

945  4686 
9459607 


946  4533 

946  9433 

947  4337 


947  9236 

948  4i3o 
9489018 

949  8777 

950  3649 
950  85 1 5 


951  3375 

951  8230 

952  3o8o 

952  7924 

953  2763 
953  7597 


954  7248 

955  2o65 
955  6878 


956  1684 

956  6486 

957  1282 


957  6073 

958  o858 
958  5639 


959  5 1 84 
959  9948 
9604708 


9609462 
961  42 1 1 
961  8955 


962  3693 

962  8427 

963  3i55 


964  2596 

964  7309 

965  2017 


965  6720 

966  1417 
9666110 


967  0797 
967  5480 
9680157 


9689497 
9694159 
9698816 


934 
935 
936 

937 
938 
939 


941 
942 
943 

944 
945 
946 

947 
948 

949 
951 
952 

954 
955 

956 


957 
958 

9^9 
961 
962 
963 

964 
965 
966 

967 
968 
969 


971 
972 
973 


974 
975 
976 


977 
978 

979 
981 

982 
983 

V84 
985 
986 


987 
988 
989 


991 
992 
993 


994 
995 

996 


997 
998 

999 


970  3469 

9708116 

971  2758 

971  7396 

972  2028 
9726656 

9735896" 

974o5o9 

9745117 

974  9720 
9754318 

975  891 1 

976  35oo 

976  8o83 

977  2662 

978  1805" 

978  6369 

979  0929 

979  5484 
9800034 

980  4579 


655 


980 
981 

981  8186 

982  7234 

983  1751 

983  6263 

984  0770 

984  5273 
9849771 

985  4265 

985  8754 

986  3238 

987  2192 
9876663 

988  1 128 

9885590 
9S9  0046 
9894498 

989  8946 

990  3389 
9907827 

991  6690 

992  II 1 5 
992  5535 

992  9951 

993  4362 

993  8769 

9943172 

994  7569 

995  1963 

9960737 
9965117 
9969492 

997  3864 
9978231 

998  2593 

9986952 

999  i3o5 
999  5655 


N. 


Log. 


N. 


Log. 


N.   Log. 


N. 


Log. 


i 


I 


i 


I 


LOGARITBICS     OF    NUMBERS. 


Nmn. 


0     1 


100010000000 


01 

03 

o3 
o5 

07 
08 

fj9 

10  10 

II 

13 

i3 

1 4 

1 5 
16 
17 
18 
19 

]0  ^o 
91 

H 

9§ 

a? 
28 

af 

io3o 

3i 

33 

11 

34 


'311 
iJH' 

37 

38 
39 

1040 

44' 
43 

4? 
48 

49 

10  5o 
f>i 

53 

53 
54 

55 

:56 

St 
58 
59 

Num. 


4341 

•  8677 
001  3(x:>9 

•  'jSj'J 

0O3  1661 
5980 

oo3  0^95 
460.5 

•  8913 

oo43ai4 

•  75 1 2 

oo5  i8o5 


0434 
4775 
91 II 

.j£!l>/|!iil 

7770 

3(093 
64i  I 
■)7>6 


f>86o 

q544 


M%Mm  3 

6843 

iiSt 


5o36  5467 

9343 


oo6o38o 


:x) 
«  89.17 
007  32  I  o 

*  747t> 
oo8'  1742 


3644 
7941 

6523 
o«o8 

5o88 
9365 


■oo9'0257 
45oo 


9773 

4074  45o4 
8871 


oio3ooo 

•  7339 
©■II  1 474 

5704 

•  9931 
0134154 

•  8373 

01 3  3587 

•  6797' 

01 4  loo'j 

•  a-ioS 

01 5  3598' 

•  7788 
•016  1974 

61 55 

0170333 
4507 

•  8677 
018  i843 

•  70o5 


7904 
2168 

6437 
c«i3 

9181 

3424 

7663 
1897 


I  JtOOp 

5643 

9977 
43o8 

8635 

3957 
7275 
i588 
5898 

«303 


3663 
6953 

55i6 
9793 
4064 

833 1 
2594 

6853 
1 108 


130 
9605 

3848 
8086 

3330 


61 37  655o 
♦3540776 
45764998 


''87941, 

■3oo8 
7218 

14^4 
5635 

98'i(3 

4017 
8306 
239 


0215 

J439 

■7639 

1644 
6045 


♦243 
4436 
8625 
2810 
6991 


8800 
3092 
73bo 
i664 

5944 
♦219 

8757 

3020 

7279 
1 533 
5784 
♦o3o 
4273 

85io 

2743 
6973 
1198 

5430 

9637 
385o 
8059 
3264 
6465 

0662 
4855 
9044 
3229 

7409 


1787 

6076 
*4ii 

4l4i 
9067 

338o 

7700 
3019 
6338 
o633 

4933 

3521 

78t>9 
209a 

6372 
0647 

49»7 

?i84 
446 


075 1 
4924 
9094 
32^9 
7421 

157B 
5732 
9887 


t 


019  1 1 63 

53 1 7 

•  946'** 

020  .Ml  3t4o37 

•  7755  [8169 

021  189IJ3.I07 
fxtv  "'16440 

0a3oi57<,)*i7o 
4284  4696 

•  84068818 

023  3535I39.36 

•  6639-o'ii> 
034o75<j|i  it)i 

48575367 

•  896019370 


168 

5342 
611 
1676 

7837 

1994 

6i47 
♦396 

444*^ 
8583 


1 586 

5759 
9927 
4f>92 
8a53 

24»o 

6562 
07 1 1 
4856 
8997 


7704 
1950 
6208 
0454 
4696 

8933 
3i66 
7396 
1621 
5843 

♦059 
4271 
848o 
2685 
6885 

io8a 
5274 
9463 
3647 

7827 

3oo3 
6176 
♦344 
45o8 
8669 

2825 

6977 
1126 

5270 
94if 


2720  3 1 34 
68^.417267 
0983}!  396 
5n.»9  553i 
93309643 

33483759 
746217873 
1572)1985 
5678(6088 
978o|^i9o 


3547 
7680 
1808 
5933 
♦o54 

4171 
8384 
3393 
6498 

0600 


3171 
65io 
0844 
5i74 
9499 

3831 

81 38 
345i 
6750 
io63 


0  1   2   B  4 


7 
a6o5  3o39 


8   9 


6943 

1277 
5607 
993a 

4253 
8569 
288a 
7190 
1493 

5793 


0659  ♦'^^ 
39504379 


7377 
1710 


8238 

3521 

6799 

1074 
5344 
9610 
3872 

8i3o 
2.384 
6633 

0878 

5l20 

?357 
590 
781818341 


2949 

7227 
i5oi 
5771 
♦o37 
4298 

8556 

2809 

7C)5f^ 
i3o3 
5544 

9780 
401 3 


2043 
6264 

0480 
469a 
8901 
3io5 
73o5 

i5oi 
5693 
9881 
4o65 
8345 


2465 
6685 


34a  I 
6503 
0701 
4925 
9084 

3a4o 
7392 
1 540 
5684 
9834 

3961 

8093 

3331 

6345 
0466 

4582 
8695 
2804 
6909 

lOIO 


♦364 

4685 
0001 

j*i  I  .J' 
7630 
1924 

6223 
o5i7 
4808 

?o94 
377 

7655 
1938 
6198 

o463 
4724 

8981 
3334 

7483 
1727 
5967 

♦3o4 
4436 
8664 
2887 
7107 


3473 
7810 
a  143 

'64731 
0796 

5ii6 
9432 

3744 
8o5i 

2354 

6652 
0947 

5237 

9523 


3907 

8344 

2576 
6905 
1228 

5548 
9863 

4174 
848 1 
3784 

7082 
1376 
5666 

995l 


.38o5  4233 


0901 
5ii3 

321 

535 
7725 


I 


1930 
6iia 
♦3oo 
4483 
8663 


i3a3 
5534 
9742 

3945 
8144 

a34o 

653 

0718 

4901 

9080 


2838 
7010 

1 1 77 
5341 
9500 

3656 

7807 
1955 
6099 
♦a38 

4374 
85o6 
2634 
6758 
0878 

4994 
9106 
32i4 
7319 
1419 


8082 
2355 
6624 
0889 
5i5o 

9407 
3659 

7907 

2l5l 

6391 

0627 
485o 
9086 
33 10 
7529 

1744 
5955 
♦  162 
4365 
8564 

2759 
6950 
11 37 
5319 
9496 


3256 
7427 
1504 
5757 
9916 

4071 
8222 
2369 
65i3 
0662 

4787 

891 

3o4< 

7170 

1389 

54o5 
951 
3625 
7729 


3673 

7844 
2010 

6173 
♦332 


85io 

2782 
7o5i 
i3i6 

5576 

9832 
4o84 
8332 
2575 
68i5 

io5o 
528a 
o5o9 
3732 
7951 

ai65 
6376 
o583 

4785 
8984 

3178 
7369 
i555 
5737 
9916 

4090 
8260 
2427 
6589 
0747 


4486 
8637 

2784 
6927 
1066 


I 


4902 
9o5a 
3198 
7341 
1479 

56i4 

?745 
871 
7994 

3Il3 

6228 
♦339 

4446 


530I 

1^.33 

459 
7582 
1 701 

5817 
9928 

4o36 
8i39'8549 


Difl*.  &  Mult. 


183913339  2649 


6   7   8   9 


I 
2 

3 

4 
5 
6 

7 
8 

1. 
1 
3 

3 

4 
5 
6 

7 
8 

9 


43o 
860 
1290 
1720 
2i5o 
258o 
3oio 
3440 
3870 


426 

853 
1278 
1704 
3i3o 
2556 
2982 
3408 
3834 


423 
846 
1269 
1692 
21 15 
2538 
3961 
3384 
3807 


432j  434 
864'  8()8 
1 296  1 3oa 
1728  17.36 
3160  2170 
2  592 1 3604 
3o34  3<>38 
3456|3472 
3888  3906 

427 

854 
1281 
1708 
2i35 

2563 

3989 
3416 

3843 


428 
856 
1284 
1712 
2i4o 
2568 
3996 

3434 
385a 


430 

84o 

1260 

1680 

2100 

2520 
2910 

336o 
3780 


424 

848 

1273 

1696 

2120 

2544 
2968 
3393 
38i6 


425 

85o 

1275 

1700 

2125 

355() 

2975 

3400 
3825 


431 

842 
1363 
1684 
3io5 
3526 
2947 
3368 
3789 


417 
834 

135l 

1668 
2o85 

25o2 
3019 

3336 
3753 


I 
a 
3 

4 
5 
6 

7 
8 

9 


I 
2 

3 
4 
5 
6 

7 
8 


4i8 
836 
1354 
1672 
2090 
35o8 
2926 

3344 
3763 


422 

844 
1366 
1688 
21 10 

2532 

2954 
33-?n 
3798 


4i4 

828 

1243 

1 656 

2070 
2484 
2898 
33i3 
37  i6 


419 

838 
1257 
1676 
2095 

25i4 
2933 
3352 

3771 


4ii 

822 

1233 

i644 
2o55 
3466 

2877 
3288 
3699 


4i5 

83o 

1245 

1660 

2075 

249*^ 
2905 
3320 
3735 


4l2 

824 
1236 
i648 
3060 
2472 
2884 
3396 
3708 


4i6 
832 
1248 
1664 
2080 
2496 
3912 
3328 
3744 


4i3 

826 
1239 
i652 
2o65 
2478 
2891 
33o4 
3717 


Diff.  At  Mult. 


LOGARITHMS     OF     NUMBERS. 


Num. 

1060 

61 
6a 
63 
64 

65 
66 
67 
68 
69 

1070 

71 
72 

73 
74 

75 
76 

77 
78 

79 

1080 

81. 
8a 
83 
84 

85 
86 

87 
88 
89 

1090 
91 

95 
93 

94 

96 

97 
98 

99 

II  00 
01 
02 
o3 
04 

o5 
06 
07 
08 
09 

II  10 
II 
la 
i3 
i4 

i5 
i6 

17 

18 

'9 

Num. 


0      12      3     4 


0253059346838784288 

*  7154756379728382 

026  1345  1 654  2o63  2472 
5333  5741  61 5o  6558 

•  94169824^2330641 

027  3496  3904  43 1 2  4719 

*  7572  7979  8387  8794 

028  1 644  2o5i  2458  2865 
5713611965366932 

•  9777  ♦18305900996 

029  3838  4244  4649  5o55 
«  7895  83oo  8706  91 1 1 

0301948  2353  2758  3 1 63 

5997  6402  6807  72 1 1 

o3i  0043  0447  o85i  1256 

4o85  4489  48o3 

*  812385268930 

032  21 57  256o  2963 
618865906993 

033  03140617  1019 

4338  464o  5o42 

#  8257  8659  9060 

034  2273  3674  3075 
6285  6686  7087 

035  0393  0693  1094 

4397  4698  5098 

#  829886989098 

036  2295  2695  3094 
6289  6688  7087 

037  0279  0678  1076 

4265  4663  5062 
tt  824886460044 

038  2226  2624  0022 
6202  6599  ^99^ 

039017305700967 

4i4i  4538 

•  8106  85o2 
o4o  2066  2463 

6023  6419 

#  9977  ^372  0767 

o4i  3927  4322  4716 

#  787382688662 
043  1816  2210  3604 

5755  6149  6543 

•  9691  ♦084  0477 

043  3623  4016I4409 

#  7551  7044  8337 

044  1476  1869  2261 
5398  57906181 

#  93159707^099 

045  323o 

#  7141 

046  io48 
4952 

*  8853 


4697 
87QI 

288  T 
6967 
1049 


7944 
1869 
5790 

9707 

3621 
753i 
1 438 
5342 
9242 

047  27493138 
7o3i 
0921 
4806 


5444 
9462 

3477 
7487 
1495 

5498 
9498 
3494 
7486 

1475 

5460 
9442 
3419 
7393 
1 364 

533i 
9394 
3354 
7210 
1162 


♦  6642 
048  o532 

44i8 

•  8301I8689 


5461 
9516 
3568 
7616 
1660 

5700 
9737 

3770 

7799 
1824 

5846 
9864 
3878 
7888 
1895 

5898 
9898 
3893 
7885 
1874 

5858 
9839 
3817 
7791 
1 761 

5727 


4802 
8729 
2653 
6573 
0490 

44o3 
83i3 
2219 
6122 
♦021 


3528 
7420 
i3o9 
5195 

9077 


55o6 
45 1 

\Z 
7330 

1264 

5195 
9122 
3o45 
6965 
0882 

4795 

8704 
2610 
65i2 
o4ii 

43o6 
8198 

2087 
5972 
9853 


5535 


55 1 6  5926 
♦018 


5942 
♦016 
4086 
8i52 
2214 


65o8 
o544 
4576 
8604 
2629 


6655 
o635 
4612 
8585 
2554 

6520 
0482 

4441 
8396 

2347 


3277  368i 

73i5 
i35o 
5382 


7453 
1470 
5482 
0491 
3497 


1664 


Diff.  &  Mult. 


9776 

3745 

7709 
1670 
5628 
9582 

3532 


o633 

4574 
85io 

2444 

6373  6766 
♦2990692 
4222  46r4 
8140  8532 
2o56  2447 

5968  6359 
9876   ' 
3781 
7682 
i58o 

5474 
9365 
3253 
7i36 
1017 


I 


01234         56789 


408 
816 

1324 

i632 
2o4o 
2448 
2856 

3364 
3672 


4o2 

804 

1206 

1608 

2010 
2412 
38i4 
3216 
36 1 8 


410 

8ao 

ia3o 

1640 
ao5o 
2460 
2870 
3280 
3690 

4o4 
808 
1212 
1616 
2020 
2424 
2828 

3232 

3636 


1995  200C 
2094  2400 
2793 
3192 
3591 


396 

792 
1188 
i584 

3376 

2772 
3i68 
3564 


393 
786 
1179 
1572 
1965 
2358 
2751 
3i44 
3537 


2800 

3200 

36oo 


397 

794 

1191 

1 588 
1985 

2382 

2779 
3176 
3573 


394 
788 
1182 
1576 
1970 
2364 
2758 
3x52 
3546 


4oi 
803 

1203 

i6o4 

2005 

2406 
2807 
3208 
3609 


8 
2786 
3i84 
3583 


395 
790 
ii85 
i58o 
1975 
2370 
2765 
3i6o 
3555 


388 
776 
1164 
1 552 
1940 
2328 
2716 
3io4 
3492 


392 

784 
1176 
1 568 
ic6o 

2352 

2744 

3x36 
3528 


Diff.  &  Mult. 


\i 


LOGARITHMS    OP    NUMBERS. 


Num. 

1120 

ai 

29' 

3:4 

a6 

87  ! 
38 

y 

II  3o 

3i 

32 

33 
34 

35 
36 
37 
38 
39 

II  40 
4 1 

42 

45 

46 

49 

5 1 

52 

53 
54 

55 

57 
58 
59 

1160 

61 

'63 
'64 

65 

00 
67 
68 

69 

II  70 
71 

73 
73 
74 

75 

'76 

77 
78 

19 

Mam. 


0 


040  3180 
6o56 

o5o37« 

•  76638049 

o5i  I 535 

5384 

•  0339 

o53  JOOl 

•  6939 

053  0784 

4636 

•  8464 

054  2399 
6i3i 

•  9950 

055  3783 

•  7605 
o56 14»3 

5337 

•  9049 

o57  2856 

jj**  jn  jf^ 

•    6661 

o58o463 

4360 


o59  1846 
5634 

•  9419 
o6o33oo 

•  6978 
061  0753 

4525 

•  8393 
063  3o58 


3343 
7318 
lOon 
49^ 
8832 


5830 

•  9578 
o63  3334 

•  7086 
0640834 

458o 

#  8'333 

o65  3061 

5797 

•  9530 

0663359 

•  6986 
0670709 

4438 

•  8145 

068  1859 
5569 

•  9270 
0693 

• 

070  0379 
4073 

•  7765 

071  1453 
5i38 


7356 
ii3i 
4902 

8670 
3434 

6196 

99S 

3709 

7461 
1209 


3731 
7606 

i477 
5344 
9308 


395  0780 


1937  2331   37063090 
6163   65466929 


1489 

53i2 
9133 
3949 

6762 


88i3 
3604 
5391 

♦175 
3956 


o 


333o 


3455 

73i2 
1166 
5oi6 
8862 


45o6 
838o 

225o 

6117 
9981 

384 1 

7697 
i55i 
5400 
9247 


3254 

6077 

0896 

3712 

7534 


7377 
0753  1 1 39 

461 3 

8468 

3321 
6170 
♦01^0400 

434a 
8081 
1916 

5748 
9576 

3401 

7333 
io4i 
4856 
8668 


6948 
0705 
4460 
831 1 
1958 

5703 

9444 
3i82 

^'7 

0649 

4377 
8io3 
1835 
5544 
9359 


8866 
3639 
64f)9 

♦  176 
3939 

'^ 

i456 

52 10 
8960 
2708 


♦33o 
4no 
7005 
1688 
5468 

0344 
ioi7 
6786 
o55-i 
43i6 

8075 
i832 
5585 
9335 
3o8 


3019 
684 1 
0659 
4475 
8287 

2095 
5900 
9702 
35o 


7291 

I033 


96^ 


3343 

7o52 
0758 
4461 
8160 

i857 
555o 
9240 
255o  3937 
624^  601 1 


645 1 
♦192 
39J0 
7664 
1395 

5 1 33 

8847 
3569 

6387 
♦002 

3714 
7423 
1 129 
483 1 
853o 


Diff.  k.  Mult 


2476 
6281 
♦082 
388 1 
72967676 


6836 
o566 
43o3 
8o37 
1768 

5495 
9220 
2941 
6659 

o374 

4o85 

7794 

1499 
5201 
8900 


?52I 
394 

7i63 
0029 
4692 

845 

2207 

5960 

9710 

3457 

7300 
0940 

4677 
84io 

3l4l 

5868 
0592 
33i3 
7o3o 
0745 

4456 
8164 
1869 
5571 
9370 

3596  3965 
6388  6658 


1088 

4877 
8663 

2444 
6223 

9999 

3771 

7540 
i3o5 
5o68 

8827 
3583 
6335 
♦o85 
383 1 

7574 
i3i4 
5o5o 

8784 
25i4 


7348 


1467 
5256 
9041 
3823 
6601 

♦376 
4i48 
7916 
1683 
5444 

9203 
2958 
6711 
o46o 
43o5 

7948 
1688 

5424 
9157 
2886 


♦347 
4o33 
7716 


4827 
8535 
2240 

5941 
9639 

3335 

7027 
0715 
4401 
8084 


386 

773 

ii58 

1 544 

23i6 
2702 
3o88 
3474 

383 

766 

1149 
i532 
1915 
2298 
2681 
3o64 
3447 


38o 
760 
ii4o 
1 530 
1900 
2280 
2660 
3o4o 
3420 


2688 
3072 
3456 


388 
776 
1 164 
i552 
1940 
2328 
2716 
3io4 
3493 


4770 
8452 


0   1234    567  6  9 


374 

748 
1122 

1496 
1870 

2244 
2618 
2992 
3366 


385 

770 

ii55 

1 540 

1935 

23lO 

2695 
3o8o 
3465 

^82 
764 
ii46 
i528 
1910 
3292 

2674 
3o56 
3438 


378 

756 

ii34 

l5l2 

1890 
2268 
2646 
3o24 
3402 


371 

742 

iii3 

i484 
i855 
2226 

2597 
2968 
3j39 


368 

736 
iio4 
1472 
i84o 
3208 
2576 
3944 
33i2 


J72 

1116 
1488 
i860 

2232 

2604 
2976 

3348 


369 

738 

1107 

1476 

1845 

22l4 

2583 

3052 

3321 


DiC^t  MulL 


Num. 

1180 

81 
62 

83 
84 

85 
86 

87 
88 
89 

1190 
91 

9^ 
94 

96 

97 

98 

99 

1200 
01 
02 
o3 

04 

o5 

06 
07 
08 
09 

13  10 
II 
13 
l3 

i4 

i5 

16 

17 
18 

»9 

13  20 
31 
32 
33 

34 

35 

96 
37 

38 

39 

13  3o 
3i 

32 

33 

34 

35 

36 

37 
38 
39 

Num. 


LOGARITHMS     OF     NUMBERS. 


01234         56789 


*  8830.9188 

073  3499  2867 

61756542 

«  9847*215 
07335173884 


#  7184 

074  0847 
4507 

#  8164 

075  1819 

5470 

#  9118 

076  2763 
64o4 

077  0043 

3679 

#  73i2 
0780942 

4568 

#  8192 

079  1813 
543o 

#  9045 

080  2656 
6265 

#  9870 

081  3473 

#  7073 

082  0669 
4363 

«  7854 

083  i44i 
5o26 

#  8608 
0842187 

5763 

#  9336 
o85  2906 

6473 
0860037 

3598 

#  7157 
0870712 

4365 

#  7814 

088  i36i 
4905 

#  8446 

089  1984 
5di9 

#  905 

090  358 1 
6107 

«  o63i 

091  3i53 

6670 

093  01 85 

3697 

#  7306 
0930713 


755o 

12l3 

4873 
853o 
3i84 

5835 
9482 
3127 
6768 
0407 

4o4-p 
7675 
i3o4 
4931 
8554 

2174 

5792 

406 

017 

6626 

♦  23l 

3833 
7432 
1029 
4622 

8213 
1800 
5385 
8966 
2545 

6120 

6829 
0393 

3o54 
7312 
1067 
4620 
8169 


9556 
3234 
6910 
o582 
425i 

7916 

1579 
5239 
8895 
2549 

6199 

9847 
3491 
7i32 

0771 

44o6 
8o38 
1667 
5293 
8916 

2536 
6i53 

9767 
3378 
6986 

0591 
4193 
7702 
i388 
4981 

8571 
2159 
5743 
9324 
2902 

6478 
♦o5o 
3619 
7186 
0750 

43io 
7868 
1433 
4975 
8534 


171 5  2070 


5259 
8800 
2337 
5872 

9404 
2933 
6460 

^l 

7021 
o536 
4o48 
7557 
1064 


56i3 
9153 
2691 
6226 

9757 
3286 
6812 
♦335 
3855 


36o3 

7377 

0949 
4617 

8283 
1945 
56o5 
9261 
3914 

6564 
♦211 
3855 
74q6 
ii34 

4769 
84oi 
2o3o 
5656 
9378 

2898 
65i5 

♦  138 

3739 

7347 

0953 
4553 
8i52 
1748 
5341 

8o3o 
2517 
6101 

3360 

6835 
0407 
3976 
7542 
1106 

4666 
8224 
1778 
533o 
8878 

2424 
5967 
9307 
3o45 


♦292 
3970 

7644 
i3i6 

4984 
8649 

23ll 

0626 
3379 


70 
4220 
7860 
1498 

5i33 
8764 
2393 
6018 
9640 

3260 
6876 
0490 
4ioo 

7707 

l3l2 

4913 
85i2 
3107 
5700 

9389 
2876 
6459 
♦o4o 
36i8 

7192 

0764 
4333 

7899 
1462 

5o22 

8579 
31 33 
5685 
9333 

2779 

6321 

861 

3q8 


6579  ^^^ 
o463 


♦  no 
3639 
7164 
0687 
4207 

7373  7724 
0887  1239 
4399  475o 
7908  8259 
i4i4  1764 


3991 

7517 
1039 

4559 

8076 
1590 
5ioi 
8609 

2Il5 


0660 

4337 

801 1 

i683 
535 1 

9016 

2677 
6336 


7394 
0940 
4584 
8324 
1862 

5496 
9127 
3755 
638o 
♦oo3 

3622 
7338 
o85i 
446i 
8068 


1028 
4705 

8379 
2o5o 

5717 
9382 

3o43 
6702 

♦357 
4oio 

7659 
3o5 

4948 
8588 

2325 

5859 
9490 
3ii8 
6743 
o365 

3983 
7599 
1212 

4822 
8429 


1672 
5273 
8871 

3467 


1396 
5073 
8746 
3416 
6084 

9748 
3409 
7068 
0733 
4375 

8034 
1669 
53i2 
8952 
2589 

6222 
9853 
3480 
7io5 

0727 


2032 

5633 
923 1 
2826 
60596418 


9648 
3234 
6817 
0398 
3975 

7550 
1121 
4690 
8255 
1818 

5378 
8935 
3489 
6o4o 
9588 

3i33 
6676 

♦  3l5 

3753 
7285 

0816 
4344 
7869 

1392 
49II 

8437 

1941 
5453 
8960 
3465 


1763 
5440 
9113 
2783 
645o 

♦ii4 
3775 
7433 
1088 
4740 

8388 
2o34 
5676 
9316 
2952 

6585 
♦216 
3843 

7467 
1089 


4345 
7961 
1573 
5i83 


♦007 
3593 
7176 
0756 
4333 

7907 

1478 
5o46 
8612 

2174 

5734 
9290 

2844 
6395 
9943 

3488 
7080 
0569 
4io5 
7639 

1169 
4697 
8222 

1744 
5263 


8779 
2292 
58o3 
931 1 


4707 

8322 

1934 
5d43 
87899150 


2393  2753 
5993  6353 
9391  9950 
3 185  3545 
6777  7 1 36 

o365  0724 
3o5i  4309 
7534  7892 
iii4  i47t 
46905048 

82648621 
i835  2192 
54o3  5760 
8q68  9324 
3o  2886 

6089  6445 

0646  ♦OOl 

J 199  3554 

6750  7104 
♦297  o652 

3842  4196 
7384  77J8 
0923  1276 
44594812 
7992  8345 

i522  1875 
5o49  5402 
8574  8926 
2096  2448 
56i4  5966 

9482 
2995 
65o5 
♦012 
28i6l§i66J35i6 


91 3o 
2644 
6x54 
0661 


2l3l 

5807 
9480 

3i5o 
6817 

o48i 
4i4i 

5io5 

8753 
2398 
6o4o 
9680 
33i6 

6949 
o579 
4206 
783o 
i45i 

5o68 
8683 
2295 
5904 
95io 

3ii3 
6713 
♦3io 
3904 
7495 

io83 
4668 
825o 
1829 
54o5 

8979 
2549 
6116 
9681 
3243 

6801 
0357 
3909 
7459 
1006 

455o 
8093 
i63o 
5i65 
8698 

2228 
5755 
9279 
2800 
63i8 


DiC  &.  Mult. 


9833 
3346 
6856 
o363 
3867 


I 
a 
3 

4 
5 
6 

7 
8 


I 
3 

3 

4 
5 
6 

7 
8 

9 


I 

2 
3 
4 
5 
6 

7 
8 

9 


I 
2 
3 

4 
5 
6 

7 
8 


365 
73o 
1095 
1 460 
1825 
3190 
3555 


366 

782 

1098 

1464 


367 
734 

IIOI 

i468 


i83o|i835 
2196  2202 


2562 
2928 


2569 
2936 


2920 
3285i3294i33o3 


01234    56789 


I 
3 

3 

4 
5 
6 

7 
8 


363 
734 
1086 
i448 
1810 
3172 
2534 
2896 
3258 


363 
726 
1089 
i452 
i8i5 
2178 
254i 
2904 
3267 


364 
728 
1092 
1456 
1820 
2184 
3548 
2912 
3276 


I 

359 

36o 

3 

718 

720 

3 

1077 

1080 

4 

i436 

1 440 

5 

1795 

1800 

6 

3i54 

2160 

7 

35x3 

2520 

8 

3873 

2880 

9 

323x 

3240 

36i 

723 
io83 

1444 
i8o5 
3166 
3537 
2888 
3249 


356 

712 

1068 

1424 
1780 
2i36 
2492 
2848 
32o4 


357 
714 
1071 
1428 
1785 
2142 

2499 
2856 
32i3 


358 
716 
1074 
1433 
1790 
3i48 
25o6 
2864 

3233 


353 

3154 

706 

708 

1059 

1062 

x4i2 

i4i6 

1765 

1770 

2118 

2124 

2471 

2478 

2824 

2832 

3x77 

3x86 

355 

710 
io65 
1420 
1775 
2i3o 
2485 
2840 
3x95 


35o 
700 
io5o 
i4oo 
1750 
2100 
2450 
2800 
3i5o 


35x 

703 

io53 

i4o4 
1755 
2106 

2457 
2808 
3i59 


353 

704 

io56 

i4o8 

1760 

31X3 

2464 
2816 
3i68 


JtL 

f 


Diff  &  Mult. 


o 
o 


LOGARITHMS     OF     NUMBEES. 


! 


Mimi 

1240 
4 1 

43 

44 

45 

46' 

4? 
4B 

49 

II  So 

5i 

0" 
54 

ad 

5? 
58 
59 

1360 
6t 
fyt 
63 
64 

65 
66 

67 
68 
69 

1270 
71 
72 

73 
74 

75 
'76 

'77 
78 

79 

I  a  80 
81 

83 
83 

84 

85 

86 

87 

88 

89 

12  90 
91 

95 

96 

97 
98 

99 


0      12      3     4 


5     6      7     8     9 


0©3  42i7 

•  7718 
0941216 

471 1 

•  8ao4 

095  i6o4 
5i8o 

•  8665 

096  2i46 

3t)34 

•  9100 

0972573 


«  951 1 
098  2975 

6437 

•  oC 
0993353 

1000257 

3705 

«  7i5i 

loi  0594 

4oJ4 

•  7471 

1020905 

•  7766 
io3  1 193 

4616 

•  8o37 
io4  1456 

4871 

•  8284 
io5  1694 

5l02 

•  85o7 

106  1909 
5309 

•  8705 

107  2100 

5491 
«  8880 

108  2267 
565o 

•  9o3i 

109  24to 
5785 

•  9159 
no  2529 

5897 

•  93>6 
III  2625 

5o85 

•  9343 


4567 
8068 
i566 

8553 

2042 

5520 
90id 

2494 

5972 

9448 
2920 
63 
98  , 

6783 
♦242 
3698 

7i52 
0602 

4o5o 
7495 
oo38 

4J77 
7814 

1249 
4680 
8109 
i535 
4958 

8379 
1797 
52i3 
8625 
2o35 

5442 
8847 
2249 
5648 
9045 

2439 
583o 
9219 
2605 
5988 

9369 

if4l 
6123 
9496 
2866 

9599 
3961 
6321 
9678 


4917 
6418 
191 5 
5410 
8902 

2391 

5877 
9361 
2842 
6320 

9795 
3267 
6737 
♦204 
3668 

7129 
o588 

4o44 
7497 
0947 

4395 

7840 
1282 
4721 
8i58 

1592 
5o23 

845a 
1877 
53oi 

8721 
2139 
5554 
8066 

2J76 


iijlj mil 

167 
8768 

2265 


S7596109 


9251 

2740 
6226 

0709 

3190 

6667 

♦i4a 
36i4 
7084 
o55o 
4oi4 

7475 
0934 
4389 
7842 
1292 

4739 
8184 
1626 
5o65 
85oi 

io35 
S 

8794 

2220 
5643 

9063 
3480 
5895 
9307 
2717 


5783  61 24 
91879528 
2589  292 
5988|632 
9724 


112  2698 

6o5o 

•  9400 

ii3  2747 

6092 


3o33 
6385 
9735 
3o8i 
6426 


9385 

2778 
6169 
9558 

3944 
6327 

0707 
3o85 
646o 
9833 
32o3 

6570 
9935 
3297 
6657 
♦oi4 

3368 
6720 
♦069 
3416 
6760 


"'ii"iai jL 

5ii8 
9117 
a6i4 


3ii7 
65o8 
9896 
3282 
6665 

♦045 
3433 
6798 
♦170 
3540 

6907 
♦272 
3633 
3 


3704 
7o55 
o4o4 
3751 
7094 


9600 

3089 

6574 
♦o57 
3538 
701 5 

0490 
3962 
743 1 
0897 
i36o 

7821 
1279 

4735 
8187 
1637 

5o84 
8528 
1970 
5409 
8845 

2278 
5709 

9137 

2563 

5985 

9405 
2822 
6237 
o648 
3o58 

6464 

3369 
6668 
♦o63 

3457 

6847 
♦335 
3620 
70o3 

o383 
3760 
7i35 
o5o7 

3877 

7244 
0608 
3969 
7329 
o685 

4o39 
7390 
0739 
4o85 
7429 


5968 
9467 
2964 
6458 

9949 

3437 
6923 


63i8 

817 

3i3 

6807 

298 

3786 

7271 


04060754 


3885 

7363 

o837 
4309 

7777 
1343 
4707 

8167 
1625 
5o8o 
8532 
1982 

5429 
8873 

23i4 
5752 
9188 

3621 
6o52 
9480 

3005 

6337 

9747 
3i64 
6578 


68o5 
♦3o8 
3609 

7007 
o4o3 

37 
7186 
o574 
3o59 

7041 

0731 
4098 

7472 

0844 
43i3 

7580 

0944 
43o6 
7664 

103I 

4374 
7735 
1074 
4420 
7763 


4333 
7710 

1 184 

4656 
8134 
iSoo 
5o53 

85i3 
1971 

5435 

8877 
3327 

5773 
9217 
2658 
6006 
95J2 

3965 

6395 
9822 

3347 
6669 

♦089 
35o5 

^3? 

3739 
7145 

o548 
3q49 

iMl 
0742 

4i35 

7535 
0913 
4297 
7679 

1059 
4435 
7810 
1181 
455o 


7917 
12S0 

4642 
8000 
1 356 

4709 
8060 
i4o8 
4754 
8097 


6668 

♦  167 
3663 
7156 
0647 

4r35 
7620 
1 102 
458i 
8o58 

i53i 
5oo3 

8471 
io36 
5399 

8859 
23i6 
5771 
9222 
2671 

6118 

?56i 
002 
644o 
9875 

33o8 
6738 

♦  i65 
3589 
7011 

o43o 

3847 
7260 
0671 
4o8o 

7486 
0889 
4289 
7687 
1082 

4474 
7864 

I25l 

4635 
8017 

1396 
4773 
8147 
i5i8 
4887 

8253 
1617 

4977 
8336 
1691 

5o45 
8395 
1743 
5o88 
843  [ 


7018 
o5i7 
4012 
7506 
0996 

4483 
7968 
i45o 
4929 
84o5 


7368 
0866 
4362 
7855 
1 345 

4832 
83i6 

1798 

5277 
8753 


879  2226 


5349 
8817 

2383 

5745 

9205 
2662 

61 16 

?^^ 

3oi6 

6462 

o34o 
6784 

♦  3I< 


5696 

9164 
3639 
6091 

955 1 

3007 

646i 

6806 
♦349 
3690 

7127 

9|o56a 

3994 
7423 

o85o 
4274 
7695 

iii4 
453o 
7943 
i353 
4761 

8166 
1569 

4<  ' 

s: 
1760 

5i52 

854i 
1928 
53i2 
6693 

2072 
5448 
8821 
2192 
556o 

8926 
2289 

5649 
9007 
2362 

5715 
9065 
3413 

5757 


365 1 
7081 
o5o7 
3932 
7353 

0772 
4188 
7602 
loia 
4421 

7826 
1229 
4620 
8026 
1421 

48i3 
8203 
1590 
4974 
8355 

1734 
5iii 
8484 
i855 
5224 

8590 
1953 
53i3 

8671 
2027 

538o 
8730 
2078 
5423 
8765I9099 


Diflf.  k.  Mult 


0      12      3     4 


5     6     7     8     9 


1 

2 
3 

4 
5 
6 

7 
8 

9 


I 

1 
3 

4 
5 
6 

\ 


I 

2 
3 

4 
5 
6 

7 
8 

9 


I 
3 
3 
4 
5 
6 

7 
8 

9 


I 

2 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 


1047 
1396 
1745 
2094 
2443 
2792 

3i4i 


35o  35 1 


700 
io5o 
i4oo 
1750 
2100 
245o 
2800 
3i5o 


702 

io53 
i4o4 
1755 
2106 
2457 
2808 
3i59 


346 
602 
10J8 
1 384 
1730 
2076 
2422 
2768 
3ii4 


347 
694 
io4i 
1 388 
1735 
2082 
2429 
2776 
3t33 


348 
696 

io44 
1392 
1740 
2088 
2436 
2784 
3i32 


343 

344 

686 

688 

1029 

io32 

1372 

1376 

171 5 

1720 

3o58 

2064 

3401 

2408 

2744 

2752 

3087 

3096 

345 

690 
io35 

i38o 
1725 
2070 
34i5 
3760 
3io5 


340 
680 
1020 
i36o 
1700 
2o4o 
238o 
2720 
3o6o 


341 
68af 

I023 

i364 
1705 
2046 
3387 
3728 
3069 


342 

684 

1036 

i368 

1710 

3o52 

23o4 
27J6 

3078 


337 

674 

ion 

1 348 
i685 

3033 
3359 
2606 

3od3 


338 
676 

ioi4 
1 352 
1690 
2028 
2366 
2704 
3o42 


33 

67 
1017 

i356 

1695 

20J4 

2373 
3712 
3o5i 


334 
668 
1002 
i336 
1670 
2004 
2338 
2672 
3oo6 


335 

670 

ioo5 

1 340 

1675 

30I0 
3345 
3680 

3oi5 


336 

673 

1008 

1 344 
1680 
3016 

3352 

2688 

3o24 


Diff.  &  Mult. 


LOGARITHMS  OF  NUMBERS. 


Num. 

1300 

01 
oa 
o3 

04 

o5 
06 
07 
08 
09 

i3  10 
II 

13 

i3 
i4 

i5 

16 

17 
18 

19 

1 3  20 
21 
22 

33 

24 

25 

26 

27 
28 
29 

i3  3o 
3i 

32 

33 

34 

35 
36 

37 
3S 

39 

i3  4o 

4i 
42 
43 
4A 

45 
46 

4l 
48 

49 

i3  5o 
5i 

52 

53 
54 

55 
56 

57 
58 

59 


0   12   3  4 


5  6  7  8  9 


Num. 


#  9434 

ii4  3773 
6II0 

#  9444 
ii5  3776 

6io5 

#  9432 

116  3756 

6077 

#  9396 

117  3713 
6027 

#  9338 

118  2647 
5954 

#  9258 

119  2559 
5858 

«  9154 

1 30  2448 

5730 
»  9020 

131  23l5 

5598 
*  8880 


0768 

3i07 
6443 

777 
109 

6438 
9764 
3o88 
6409 
9728 


3o44  3376 


122  2159 
5435 

#  8709 

123  1981 
535o 


#  85i6 
134  1781 

5o42 

#  83oi 
125  1 558 

48i3 

»  8o65 

I26i3i4 

456i 
»  7806 

127  1048 
4288 

#  7525 
1280760 

3993 

«  7223 

1290451 

3676 

6899 

i3ooii9 

3338 
6553 

#  9767 
i3i  2978 

6187 

#  9393 

1 32  3597 

5798 

#  8998 

1 33  2195 


6358 
9669 
2978 
6284 

9588 
2889 
6187 

9484 
2777 


6068 
9357 
2643 
5927 
9308 

2487 
5763 
9o36 
23o8 

5577 

8843 
2107 
5368 
8627 
1884 

5x38 
83oo 
1639 
4886 
8i3o 

1373 
4612 
784Q 
io83 
43 16 

7546 
0773 
3998 
7221 
o44i 

3659 
6875 
♦088 
3299 
65o7 

97i3 
2917 
6119 
9317 
35i4 


♦  102 

3441 
6777 

♦  III 
3442 

6771 
♦097 
3420 
6741 
♦060 


6689 
♦000 
3309 
66i5 

9918 
3219 
65 1 7 
9813 
3io6 

6397 
9686 
2972 
6255 
9536 

2814 
6090 
9364 
2635 
5903 

9169 
2433 
5694 
8953 
2209 


o436 

3774 
7110 

0444 

3775 

7io3 
0429 
3753 
7073 
0392 

3707 
7021 
o33i 
3639 
6945 

♦948 
3549 
f3847 
♦  143 
3436 


6726 

♦01 4 
33oo 
6583 
9864 

3x42 
64x8 
9691 
2962 
6230 


0770 
4io8 

7444 
0777 
4io8 

7436 
0762 
4o85 
74o5 
0723 

4o39 
7353 
0662 
3970 

7276 

0578 

3879 

7177 
0473 

3765 


7o55 
0343 
3628 

69U 
♦193 

3470 
6745 
♦018 
3289 
6557 


5463 
8715 
1964 

52IO 

8454 

1696 
4935 
8172 
1407 
4639 

7869 
1090 
4321 
7543 
0763 

3981 
7196 
0409 
3630 
6828 

♦o34 
3237 


9637 
2834 


9496  9822 
739  3o86 
6346 
9605 
2860 


6020 
2535 


5788 
9040 
2288 
5535 
8779 

2030 
5259 

84^' 
1 7  Jo 
4962 

8x91 
x4i8 
4643 
7865 
io85 

43o3 
75x8 
0730 
3941 
7149 

o354 
3558 


64396758 


57 
53 


6114 
9365 
26x3 
585o 
9iod 

2344 
5583 
8810 
2o5j 
5285 

85x4 
1 741 
4965 
8x87 
1407 

4634 
7839 
io52 
4962 

7469 

0675 

3878 

7078 

♦277 

3473 


ixo4 
4442 

7777 
IX 10 

444i 

7769 
1094 

4417 

7737 

io55 

4370 
7683 
0993 
43oi 
7606 

0909 
4209 
75o() 
0801 
4094 

7384 
0672 
3957 

723o 


1437 

4775 
8111 

1444 
4774 

810X 

1437 

4749 
8069 
1 387 

4702 
8014 
i324 
463 1 
7936 

1239 

4539 
783() 
1x3 
4423 

77x3 

lOOfJ 

4285 
7568 


o52o  0848 


3797 

7073 

o345 
36x6 
6883 

!^^9 
3412 

6672 

6439 
9690 
3938 
6184 
9427 

2668 
5907 
9143 

3377 
56o8 

8837 
2064 
5288 
85io 
1729 

4946 
8161 
1373 
4583 
7790 

0995 

4198 
7398 


4i25 
7400 
0673 
3943 
7210 

0475 
3738 
6998 
♦256 
35x1 

6764 
♦01 5 
3263 
65o8 
975 1 

9466 
2700 
5931 

9X60 

2386 
56 10 
8832 

2o5l 

5267 

8482 
1694 

4903 

8III 

i3x6 
45x8 

7718 


3793 


1 77 1 
5109 

8444 

1777 
5107 

8434 
X759 
5o8i 
84oi 
1718 

5o33 

8345 
i655 
4962 
8267 

1569 

4868 
81 65 
x46o 
4752 

8042 
1329 

46x4 
7896 

1 175 

4453 
7727 
xooo 
4269 

7537 


2x0513439 

54435776 


IMff*.  &  Mult. 


0596  0916 


4lI3 


0803 
4o64 
7324 
o582 
3837 

7089 
0339 
3587 
6833 
♦076 

33i6 
6554 
9790 
3o23 
6354 

9483 
2709 
593? 
91 54 
2372 

5589 
88o3 
2ox5 
5224 
843  X 

i636 
4838 
8o38 
1236 
443x 


8777 
2x10 
5439 

8767 
2091 

54x3 
8733 
2o5o 

5364 
8676 
1986 
5293 
8597 

1890 
5198 
8495 
1789 
5o8x 

8371 
1 657 
4942 
8224 
x5o3 

4780 
8o55 
i327 
4596 
7863 


91  XX 

2443 

5772 
9099 

2434 

5745 

9065 
238 1 

5696 
9007 
23i6 
5623 
8927 

232 

552 
8825 
3x19 
54x0 


II38 

43oo 
7630 
0907 
4163 

74i4 
0664 
3912 
7157 
o4oo 

364o 

6878 
♦  xi3 
3346 

6577 

o8o5 
3o3i 
6255 
9476 
2694 

591 1 
9x24 
2336 
5545 
8752 

1956 
5x58 
8358 
i555 
475q 


5270 
8553 
i83i 

5xo8 
8383 
1654 
4923 
8190 


1454 
4716 
7976 
1233 
4487 

7739 

0989 
4237 
748  X 
0734 

3964 

7303 
0437 
3670 
6900 

♦  128 
3354 

6577 


6333 
9446 
3657 
5866 
9072 

2277 
5478 
8678 
1875 
5070 


0   12   3  4 


5  6  7  8  9 


I 
2 

3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 

9 


1 
2 

3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 


33i 

662 
993 
1 324 
i655 
1086 
2^x7 
2648 
2979 


332 

664 

1 328 
x66o 
1992 

2324 

2656 
2988 


333 
666 


XJJ2 

x665 

235l 

2664 
2997 


328 

656 
084 
XJ12 
i64o 
1968 
2296 
2624 
2952 


329 
658 

x3i6 
1645 

33o3 

3633 

3961 


33o 
660 

990 

l330 

i65o 
1980 

33lO 

3640 

2970 


325 
65o 
975 

IJQO 
1625 
1950 
3275 
3600 


326 

653 

078 

x3o4 
i63o 
1956 
3283 
3608 


327 

654 

081 

x3f« 

1 635 

I9f)3 

2289 
2616 


9  I393512934I2943 


I 

322 

323 

2 

644 

646 

3 

966 

969 

4 

X288 

1293 

5 

16x0 

i6i5 

6 

X932 

1938 

7 

2254 

2261 

8 

2576 

2584 

9 

2898 

2907 

324 

648 

972 

1296 

1620 

1944 
2268 
2592 
39x6 


3x9 
638 

390 

640 

957 

960 

1276 

1 380 

1595 

1600 

19x4 

1920 

2333 

2240 

3553 

356o 

3871 

3880 

321 

642 
963 

1284 
i6o5 
X926 
2247 
3568 
388^ 


DidbMult. 


I  •, 


^K 


LOGABITHMS    OP    NUMBEIS. 


111 


MUM.^        0    1 

•  858i 
i34 1771 


.4^59  5a77 
8144  B462 


65 
66 

'67 
68 
69 

1370 

7' 
7a 

7'j 
74 

75 

7^ 
'77 
'7® 
79 
i3  8o 
81 

83 
84 

8S 
86 
87 
88 

89 

1390 
91 
9a 

9a 

94 

95 
96 

97 
98 

99 

14  00 

01 

«4 

o5 
06 

07 

08' 
09 

i4io 
11 

12 
i3 
14 

1 5 
16 

17 
18 
19 

Uma. 


i35  i3i7 

4507 

•  7685 
i36o86i 

4^34 

•  7206 
1370375 

3541 
6705 

•  9867' 


1645 
4825 
8oo3 

1 178 
4352 


6028 
9219 
2409 
5596 
8780 

1963 
5i43 
83  20 
496 
14669 


63476666 


9538 

2728 
5914 


9857 
5o46 
6233 


90999417 

2281 
5461 
8638 
i8i3 
4986 


752378408157 


2599 

5779 
8956 

3l3l 

53o3 


6985 
♦  176 
3365 
655 1 
9735 

2917 
6096 
9373 

2448 
5620 


061 
38^8 
7022 
♦i83 


9339  9655 


i38  3o27 
6i84 

139  2492 
5643 

•  8791 

140  1937 


•j«j4^ 
65oo 


I  1008 

4174 
7338 

0499 


3659 
6816 
9970 

3l22 

6272 


•  8222 

i4i  i36i 

4498 

•  7632 

142  0765 
3895 

7022 

143  oi48 

3271 
6392 

•  951 1 
i44  2628 

5742 

•  8854 

145  1964 

5072 
•  8177 

1461280 

438 1 

•  7480 

l47  o577 
3671 

6763 

•  9653 
i48  2941 

6027 

•  9110 

149  2 1 91 

5270 

•  8347 

i5oi4a2 
44q4 

»  7664 
i5i  o633 


2807 
5958 

910694 

225l 

53o5 

S536 
1675 

4811 
7946 

1078 

4ao8 
7335 


|20 

2566 
5709 
885o 
1988 

5i25 
8259 

»39i 


i325 

4491 
7654 
o8i5 

3974 
7i3i 
♦285 
3438 
6587 

9735 
2880 


8473 
i64i 

4807 
7970 
ii3i 

4290 

7447 
0601 
3753 
6902 

♦o5o 
3io5 


6023  6337 
9164 

5438 
8572 
1704 


4520  4833 


9478 

2616 

6752 
8885 
2017 
5 1 46 


7648 

o46o  0773 
3896 
7016 
♦  i35 
325i 

6365 

9476 
2586 

5693 
8798 


3584 
6704 
9823 
2939 

6o53 
9165 

2275 
5382 
8488 


7960  8273 


1 59 1 
4691 

7790 
0886 


190! 
5ooi 
8100 
1196 
3980  4290 


7072 
♦  162 
SaSo 
6335 
9418 

2499 

5578 
8655 
T729 
4801 


io85 
4208 
7328 
o446 

6676 

9787 
2897 

6oo4 
9108 

2211 
53ii 


738 1 

0471 

3558 

9726 

2807 
5886 

9o36 
5io8 


1398 

4520 
7640 
0758 
3874 

6987 
♦098 
3207 
63i4 
94'9 

5621 
8719 


7600 
0700 
3867 

♦o35 

3ii5 

6193 


8409 

i5o5  181 5 
45994908 

7999 

1069 

4 


787' 
0939 
4oo5 
7069 
♦  i3o 


17? 
7260 
o343 

34^3 
65oi 


92709577 
2344  h'65i 
54i5  5722 


8178 
1246 
43 1 1 

7375 


8485 

jwi  JP'  n 

1 553 
4618 
7681 


04360742 


73o5 
0495 
3684 
6870 
♦o54 

3235 

64 1 4 
9591 
2765 
5937 


7624 
o8i4 
4o€G 
7188 
0372 

3553 
6732 


794318262 


8792 
859 
4924 
7987 
1048 


87909107 
19582275 
5i24i544o 
8287^603 

1 447  1763 

4606,4922 
7762  8078 

0916  I23l 
4068  4383 

7217  7532 


9424 

2591 

57^6 

8919 

2079 

5237 

8393 

1 547 
4698 

7847 


03640679 


3509 
665 1 


3823 
6966 


•o58 

3225 

6389 
9551 
2711 


2908 
6073 
9235 
2395 

55535869 
8709  9024 
1862  2177 


Dilf.  k.  Mult. 


9792  ♦  1 06 
293©  3243 

6o656379 

9' 99  95 1  a 
233o  264J 

5459  5772 

8586  "  '■ 


88989211 


41 38 
7280 
0419 
3557 

(1692 
9825 
29S6 
6o84 


5cn3 
8161 

i3o8 
4452 

7594 
0733 
3871 


►i38 


5328 
8476 

1622 
4766 
7908 
io47 
4i84 

7319 

045 1 


1710 
4832 
7902 
1070 
4i85 

7298 

0409 

35i8 

()625l 

9729 

283 1 
5931 
9029 

2ia4 

5217 

83o8 
1397 
4484 
75G9 
o65i 


32693582 
63976710 
9523  9836 


2022 
5i44 
8264 
i38i 

4497 

■7610 
0720 
3829 
6933 
039 

3i4i 
6241 
9338 

2434 
5527 

8617 
1706 
4793 

7877 
0959 


2647 
5768 
8888 


2335 
5456 
8576 
1693  2 
4808  5119 


2oo5 


7921 
io3i 

4i4o 
7246 
o35o 

345 1 
655 1 
9648 

2743 
5836 

8926 
201 5 
5ioi 


8232 
1 342 
445o 
7556 
o6fio 

3761 
6861 

3o52 
6145 


2959 
6080 

9>99 
23 1 6 

543 1 

8543 
i653 

4761 
7867 
0970 

4071 
7170 
♦267 
3362 
6454 


I 
a 

3 

4 
5 
6 

7 
8 

9. 
I 
2 
3 

4 
5 
6 

7 
B 

.9 
I 
a 
3 

4 
5 
6 

7 
8 

_9_ 
1 

2 
3 
4 
5 
6 

7 
8 


I 
2 
3 
4 
5 
6 

7 
8 


9235I9544 
2324  ""* 

5410 


81858493 
1 575 


3?3i  4o39 

6809  71 16 
9885'»i02^ 

2958|3265 
6o3o,6337 


1267 

4347 

J7424 
'0499 


4655 

7732 
0807 
3573,3880 
166446951 


909994069712 

2|6()j2472 

523 1 15537 
82938600 


2632 

5718 

8802 

1 883 

496a 
8039 
1 114 

4187 

7257 


I 
2 
3 
4 
5 
6 

7 
8 


y,._  ♦0190326 
27793080,3392 
5843  6i5o,6456 
89r>6  921219518 


3541166011966^272^578 


0   12  3  4   5  6  7  8  9 


317 
634 
95 1 
1268 
i585 
1902 
2219 
2536 
2853 


320 

64o 
960 
1280 
i6go 
1920 
2240 
256o 
2880 


3i5 

63o 

945 

1260 

1575 

1890 

2205 
2520 

2835 


3i3 
626 

939 

1252 


1878 
2191 

25o4 

2817 


3ii 
622 
933 

1244 
1 555 
1866 

2177 
2488 
2799 


I 
2 
3 

4 
5 
6 

7 
8 


309 
618 


3( 

61 

927 
1236 
1 545 

1854 
21 63 

2472 
2781 


3o7 

6i4 

921 

1228 

1 535 

1842 

2149 
2456 

2763 


3i8 

636 

954 

127a 
1590 
19(^8 

22S6 

2544 
2862 


3i6 
632 
948 
1264 
i58o 
1896 
2212 
2528 
2844 


3i4 

628 
942 
12  56 
1570 
1 884 
2198 

25l2 
2826 


3l2 
624 

936 
1248 
i56o 
1872 
2184 
2496 
2808 


3io 
620 
930 
1240 
i55o 
i860 
2170 
2480 
2790 


3o8 
616 
924 

1232 

i54o 
1 848 
2i56 
2464 

2772 


DiClbMulu 


LOGARITHMS     OF     NUMBERS. 


11 


Num. 

1420 

21 

22 

23 

24 

25 

26 

27 

28 
29 

14  3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

14  40 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

i4  5o 
5i 

52 

53 
54 

55 

56 

57 
58 

59 

i46o 
6r 
62 
63 
64 

65 
66 

67 
68 
69 

1470 
71 

T2 
73 

74 
75 

76 

77 
78 

79 
Num. 


01234        56789 


152  2883 
5941 

#  8996 

1 53  2049 
5ioo 

»   8i4 

1 54  119 
4240 

#  7282 
i55o322 

336o 
63 

#  943o 
i56  2462 

5492 

#  85i9 

157  i544 
4568 

»  7580 

1 58  0608 

3625 
664o 

#  9653 

159  2663 


31893495 
62466552 
930119607 
2354  2659 


38oi 
6858 
9912 
2964 


54o5  5710  601 5 


8453  8758 
i5oo!i8o4 
4544:4848 
7586I7890 
0626  0930 

3664'3968 
6700' 70o3 
9733'^o37 
276513068 
5794  6097 


8822 

1847 
4870 
7891 
0910 

3927 
6941 
9954 
2964 


5672  5973 


#  8678 
1601683 

4685 

#  7686 

161  0684 

368o 

6674 

#  9666 

162  2656 
5644 

#  863o 
i63  1614 

4596 

#  7575 

164  o553 

3529 
65o2 

#  9474 

1 65  2443 
5411 

#  8376 

166  1 340 
43oi 
7261 

167  0218 


897' 
198 

4985 
7986 
0984 

3980 
6973 
9965 
2955 
5943 

8928 
1912 

4894 
7873 
o85i 

3826 
6799 

9771 
2740 
5707 

8673 
i636 

4597 
7556 

o5i4 


3173  3469 

61276422 

«  90789373 

168  2027  2322 
4975.5269 

*  79208215 

1690864;  1 1 58 

38o5  4099 

6744,7038 

»  9682I9975 


9124 

2149 
5172 
8193 
1212 

4228 
7243 
♦255 
3265 
6278 

9280 
2284 
5286 
8285 
1283 

4270 

7273 
♦264 
3254 
6241 

9227 
2210 
5192 

8171 
1148 

4i23 
7097 
♦068 
3o37 
6004 

8969 
1982 
4893 
7852 
0809 

3764 
6717 
9668 
2617 
5564 

85o9 
1452 
4393 
7332 
♦269 


9063 

210' 

5i5 

8iq4 

1234 

4271 
7307 
o34o 
3371 
6400 

9427 
2452 
5474 
8495 
i5i3 


7544 
o556 
3566 
657 


4107 
7x63 
♦217 
3270 
63  20 

9368 
24i3 

5457 
8498 
i538 

4575 
7610 
0643 

3674 
6703 

9729 

2754 
5776 
8797 
i8i5 


453o483i 


7845 
0857 
3867 
6875 

95809881 
2584  2884 
5586  5886 
8585  8885 


i583 

4578 
7572 
o563 
3553 
654o 

9525 
25o8 
5490 
8469 
i446 

4421 
7894 
o365 
3334 
63oi 

9265 
2228 
5189 
8i48 
iio5 

4060 
7012 
9963 
2912 
5859 

88o3 
1746 
4687 
7626 
o563 


i883 

4878 
7871 
0862 
3852 
6839 

9824 
2807 
5788 

8767 
1743 

4718 
7691 
0662 
363 1 
6597 

9562 

2525 

5485 

8444 
1 400 

4355 
7308 
♦258 
3207 
61 53 

9098 
2o4o 

4981 

7920 
o856 


44i2 

746 

o52 

3575 
6625 

9672 

2718 

5761 
8802 
1842 

4879 

7914 

0946 

3977 

7006 

♦082 
3o56 
6079 
9099 
2117 

5x33 
8i46 
ii58 
4168 

7175 

♦  181 
3x84 
6186 
9185 
2182 

5x77 
8170 
1 161 
4i5o 

7137 

♦  122 
3io5 
6086 
9064 
204 1 

5oi6 
7988 
0959 
3927 
6894 

9858 
2821 
5781 
8740 
1696 

465o 
7603 
o553 
35oi 
6448 

9892 
2335 
5275 
8218 
ii5o 


4718 

7774 
0828 
8880 
6929 

9977 

3o22 

6o65 
9106 
2145 

5182 

8217 
1249 
4280 
7808 

o834 
3359 
6881 
9401 
2418 

5434 
8448 
1459 
4469 

7476 

o48i 
8485 
6486 
9485 
2482 

5477 
8470 
1460 

4449 
7436 

0420 
8408 
6884 
9862 
2889 

58i3 
8285 
1256 
4224 
7190 

♦i55 
8117 

6077 

9035 

991 

4946 
7898 
0848 
8796 
6742 

9686 
2629 
5569 
85o7 
1443 


5o24 
8080 
ii33 
4i85 
7234 

♦281 
8827 
6870 
9410 
2449 

5486 
8520 
i553 
4583 
7611 

0687 
366 1 
6683 
9702 
2720 

5786 


8749  9o5< 
1760 

4770 
7777 


0782 
8785 
6786 
9785 
2781 

5776 
8769 
1759 
4748 
7784 

0719 
3701 
6682 
9660 
2686 

56io 
8582 
1 553 
4521 

7487 

045 1 
34x3 
6878 
9881 
2287 

5241 
8198 
ii43 
4091 

7087 

9981 
2928 
5868 
8801 

1787 


5829  5635 
88858691 
1 439!  1 744 
449o'4795 
75397844 


o586 
368 1 
6674 
9714 
2753 


0891 
8935 
6978 
♦018 
3o57 


5789.6098 

8824 

x856 

4886 

7914 

0989 
8963 
6985 
♦oo4 

3o22 


6037 
o 
2061 
5070 
8077 

1082 
4o85 
7086 
♦084 
3o8i 

6075 
9068 
2o58 

5o47 
8o38 

1017 
8999 

6979 
9958 
2984 

5908 
8880 
i85o 

48x7 
7783 

0747 
8709 
6669 

9627 

2582 

5536 
8488 
1 488 
4886 
733j 

♦275 
8217 
6x57 
9004 
2o3o 


9127 

2159 

5x89 
8216 

1242 
4265 

7287 
0806 
3323 

6338 
9351 
2862 
5371 
8878 

i383 
4385 
7886 
0884 
338o 

6875 
9867 
2357 
5845 
833i 

i8i5 
4297 
7277 
♦255 
3281 

6205 
9177 
2146 

5ii4 
8080 

1043 
4oo5 
6965 

}22 

578 

583f 
8783 
1733 
4680 
7626 

0569 
35x1 
645o 
9888 
2824 


DiC  &,  Mult. 


I 

a 
3 

4 
5 
6 

8 


I 
a 
3 

4 
5 
6 

7 
8 

_9. 
I 
2 
3 

4 
5 
6 

7 
8 


01234        56789 


2 
3 

4 

5 
6 

7 
8 


I 
2 

3 

4 
5 
6 

7 
8 


I 
2 

3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 

9 


3o5 
610 
915 
1220 
i525 
i83o 
2i35 
2440 
2745 


3o3 
606 
909 
1212 
i5i5 
1818 
2121 

2424 

2727 


3oi 
602 
908 
1204 
i5o5 
1806 
2107 
2408 
2709 


897 
1196 
1495 
1794 
2098 
2892 
2691 


297 

594 
891 
1188 
i485 
1782 
2079 
2876 
2673 


295 

590 

885 

1180 

1475 
1770 
2o65 
2860 
2655 


879 
1172 
i465 
1758 

2o5l 

2344 
2687 


3o6 
612 

918 

1224 
i53o 
i836 
2142 
2448 
2754 


3o4 
608 
912 
1216 
1 520 
1824 
2128 
2432 
2786 


3oa 

604 

906 

1208 

i5io 

i8ia 

aii4 
a4i6 

2718 


3oo 
600 
900 
1200 
i5oo 
1800 
2100 
a4oo 
2700 


298 

596 

894 
1192 

1490 
1788 
2086 
2384 
2682 


29b 

592 
888 
ii84 
i48o 
1776 
2072 
2868 
2664 


88a 
1 176 
1470 
1764 
2o58 

2352 

2646 


I 


t»4 


M 


Diff.  &  Mult. 


18 

<mmr 


LOGARITHMS    OF    NUMBBIS. 


1        2 


Bi 

it 

83 

85 
86 

87 
'88 
89 

1.49'' 
91 
9» 
93 

■95 
'90 

# 
99 

i5oo 
01 

oa 
o3 
o4 

o5 

'C16 
07 
dS 

09 

1 5  10 

II 

i4 

1 5 
i§ 

17 
18 

19 

1 5  M 
31 
22 

a3 
24 

25 

26 
27 

28 
29 

i53o 
3 1 

34 

35 

37 

38 

3o' 

Num. 


555i  5I44 

•  84828775 

171  i4i2  1704 

43394632 


7203 

1720188 

3iio 

6029 

•  8947 

I73i863 
4776 

•  7688 
1740598 

35o6 

64i2 

•  9316 
175  2218 

5ii8 

•  8oi6 

1760013 
3807 

6699 

•  9590 
1772478 


7557 
0480 

3402 

6321 
9>' 


178  II 33 

401 3 
6892 

•  9769 

179' 2645 

'iJP'wJP  '1  O 

180  1259 
4126 

32 


1 42 1 

43oi 
7180 

♦o57 

2933 

5mo5 

83898676 

"  i546 

44i3 

7278 

«l42 

3oo4 
5864 

8722 
1578 
4432 
7284 
♦  i35 

2983 

583o 
8675 
i5i8 
4359 

6914  71  q8 

•  9752  #036 
i85  2588  287 
5422  5705 


181  2718 
5578 

•  8436 

182  1292 

4M7 


1832698 

5545 

•  83oci 

184  12.I4 

4075 


3 

32€>4'  '34«7 
61.376430 
90689361 
997 
49«4 


5  6  7  8  9 


784^ 

31)94 
66i3 


399530 


2 1 54 

5o68 

7979 
^89 

3797 

6702 
9606 
25o« 
5408 


5654 


82S08538 


2446 

3<J!)9 
8270 
1 180 
4087 

6093 

9697 

2798 

5698 
8596 

1492 

4386 

7278 
*i68 
3o56 


1709 
4589 

7468 

o345 
3219 
6092 
8q63 
i832 

4700 
7565 
0428 

32 
6iDO 

9007 

i863 

'4717 
7569 
0420 

3268 

61 14 
8959 
1802 
4643 

7482 
o3i9 
3 1 55 
5q88 


3791 

*)723 
9654 

mt  -m%gKJf   ■Mr  luJPyP^JP' 


5217 

8143 

IO6S 

3986  4 


6905 
9622 


8434 

1 357 

278 


7197 
*ii3 


2737  3o28 
565o594i 


856i 
1471 


43784669 

7574 

o477 
3378 
6278 
9175 


7283 
♦187 
3o88 
5988 
8885 

1781 
46754 


7567 

0457 
3345 

623 1 
91 1 5 

1997 

4877 
7756 

o632 

35o7 
638o 


9250  9537 


2119 

4986 

785 1 
0715 
3576 
6435 

9293 

2149 
5oo2 

7854 
0704 

3553 


825485378820 

186  1084  1 367  i65o 
4478 
73o4 
♦128 


39124195 

67397021 

•  95639846 

1R7  2386  2668! 2951 


9244 
2086 

4927 

7766 
o6o3 
3438 
6271 
9103 

1932 

4760 
7586 
o4io 
3233 


8852 
1761 


2071 


7856 
0745 


65 1 

94' 


o3 
2285 
5i65 
8043 


0920 


2406 

5273 
8i38 

lOOI 

3862 
6721 

9579 

2434 
5288 
8i4o 
0989 

3837 


63996684 


9528 
2370 

52II 

8o5o 
0886 
3721 
6555 
9386 

22l5 

5o43 
7860 
069S 
35i5 


4o84 
7017 

9?47 
2876 
58o2 

8727 
1649 
4570 
7488 
o4o5 


4377 
73io 
♦240 
3i68 
6095 

9019 

94 1. 
4862 

7780 
0697 


3320 
6233 

9143 

2o52 


1207 
4082 
6954 
9824 
2693 

5559 

8424 
1287 
4i48 
7007 

9864 
2720 
5573 
8425 
1274 

4122 
6968 

3654 
5495 

8333 
1 170 
4oo5 
6838 


36ii 

6594 
9434 
2343 
495915250 

7864 
0767 
3668 
6567 
9465 

236o 
5253 
8145 
io34 
3922 

6808 
9691 
2573 
5453 
833 1 


4671 
7603 
o533 
3461 
6387 

931 1 

2233 

5i54 
8072 
0988 

3903 

681 5 
9725 
2634 
5540 

8445 
1 348 
4248 

7147 
♦o44 


1495 
4369 
7241 
♦III 
2980 

5846 
871 1 
1573 
4434 
7293 

♦i5o 
3oo5 
5858 
8710 
1559 

4407 
7253 
♦096 
2939 

5779 

8617 

1454 
4288 
7121 


96699952 


2498 
5326 
8i5i 
0975 

3797 


2781 
56o8 
8434 


0826 
3754 
6680 

9604 
25jt6 
5446 
8364 
1280 

4194 
7106 
♦016 
2925 
583i 

8735 
1 638 

4538 
7437 
o333 


3939 

5832 
8723 

l6t2 


7385 
♦268 
3 1 49 
6029 
86198907 


3228 
6121 
9012 
1901 

44994788 


1782 

4656 
7528 
0398 
3266 

6i33 

% 

4720 
7579 

0435 
3290 
6143 
8995 
1844 

4601 

7537 
o38i 

3223 

6o63 

8901 
1737 
4572 
74o4 
•235 

3o64 
5891 
8716 


7673 
o556 
3437 
63i7 
9194 

2070 
4943 
7815 
o685 
3553 

6419 
9283 

2145 
5oo6 
7864 

0721 
3576 


5257 
8189 
tiio 

4o4o 
6972 

9896 

2818 

5737 
8655 
1571 

4485 

7397 
o3o7 
32i5 
61 2 1 

9026 
1928 
4828 

7727 
0623 

35i8 

64io 
9301 
2190 
5076 

7961 

0844 
3725 
66o5 
9482 

2357 
523i 
8102 
0972 
384o 

6706 
9570 
2432 
5292 
81 5o 

1007 
386i 


I 

2 

293 

586 

3 

879 

4 

II 72 

5 

1465 

6 

1758 

7 

205l 

8 

2344 

9 

2637 

DiC  k.  Mult. 


64296714 


1257  1 540 
4079!  436 1 


9280 
2129 

4076 
7822 
o665 
3507 
6347 

9185 
2021 

4855 
7687 
o5i8 

3347 
6174 
8099 
1822 
4643 


9565 
24i4 

5261 

8106 
0949 
3701 
663o 

9468 
23o4 
5i38 

7970 
0801 

3629 

6456 
9281 

2I04 

4925 


01234   56789 


I 
2 
3 

4 
5 
6 

7 
8 


283 
566 
849 

Il32 

i4i5 
1608 
1981 
2264 

2547 


294 

588 
882 
1176 
1470 
1764 
2o58 

2352 

2646 


I 

291 

2 

582 

3 

873 

4 

ii64 

5 

1455 

6 

1746 

7 

2037 

8 

2328 

9 

2619 

292 

584 

876 

1168 

1 460 

1752 

2044 
2336 
2628 


I 

289 

578 

2 

3 

867 

4 

ii56 

5 

1445 

6 

1734 

7 

2023 

8 

23l2 

9 

2601 

290 

58o 
870 
1 160 
i45o 
1740 
2o3o 

2320 

2610 


I 

287 

2 

574 

3 

861 

4 

ii48 

5 

1435 

6 

1722 

7 

2009 

8 

2296 

9 

2583 

•388 

576 
864 

1 1 52 

i44o 
1728 
2016 
23o4 
2592 


I 

2 

3 
4 
5 

285 

570 

855 

ii4o 

1425 

6 

1710 

7 
8 

9 

1905 
2280 
2565 

286 

572 
858 

1144 
i43o 
1716 
2002 
2288 
2574 


384 
568 
852 
ii36 
1420 
1704 
1988 
2272 
2556 


Diif.  k.  Mult. 


LOGARITHMS     OF     NUMBERS. 


13 


Num. 

1540 

41 
42 
43 

45 
46 

47 
48 

49 

i5  5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

i56o 
61 
6a 
63 

64 

65 
66 

67 
68 
69 

1570 

71 
72 
73 
74 

75 
76 

77 
78 

79 
i5  8o 
81 
82 
83 
84 

85 
86 

87 
88 
89 

1590 

9' 
92 

93 
94 

96 

9Z 
98 

99 

Nam. 


0   12   3  4 


5  6  7  8  9 


1«7  5207 

♦  8026 

1880844 
3659 
6/;3 

#  9285 
189  2095 

4903 

♦  7710 
1900514 

33i7 

6118 

♦  8917 
191  1715 

45io 

73o4 
192 
28 
5675 
«  846i 

1 93  1246 
4029 
6810 

♦  9590 

194  2367 

5i43 

#  7918 

1950690 
3461 
6229 

*  8997 
196  1762 

4525 

7287 

1970047 

2806 
5562 

#  83i7 

198  1070 
3821 

6571 

•  9319 

199  2o65 
4809 

#  7552 

200  02q3 
3oJ2 

5769 

#  85o5 

30I  1239 

3971 
6702 

*  943i 
202  2 1 58 

4883 


5489 
83<>8 

II25 

3941 
6754 


5771 
8590 
1407 
4222 
7o35 


95669847 


2376 
5i84 
7990 
0795 

3597 
6398 

9197 

1994 

4790 

7583 
0375 
3i65 
5953 
8740 

1 524 
4307 
7088 
9868 
2645 

5421 

8195 
0967 
3738 
65o6 

9273 
2()38 
4802 
7563 
o323 

3o8i 
5838 
8592 
1 345 
4096 

6846 
9593 
2339 
5o83 
7826 

o567 
33o6 
6043 

8778 

l5l2 

4244 

6975 

9703 


2657 
5465 
8271 
1075 

3877 
6678 

9477 
2274 
5069 

7862 
o654 
3444 
6232 
9018 

i8o3 
4585 
7366 
♦  145 
2923 

5698 

8472 
1244 

4oi4 
6783 

9550 
23i5 
5078 
7839 
0599 

3357 
6ii3 
8868 
1620 
4371 

7121 

9868 
2614 
5358 
8100 

o84i 
3579 
63i7 
9052 
1786 

45i7 
7248 
9976 


24302703 
5 1 56  5428 


7879 


0601 


•  7607 
2o3  0329 

30493321 
57686040 

♦  848518756 


8i5i 
0873 
3593 
63ii 
9028 


6o53 
8872 
1689 

45o4 

7317 


6335 

9154 
1970 
4785 
7598 


1 28  0409 


2938 
5745 
855 1 
i355 

4i57 
6958 

9757 
2553 
5348 

8142 
0933 
3723 
65ii 
9297 

2081 
4864 
7644 
0423 
3200 

5976 

8749 

I  52  I 

4291 
7060 

9826 
2591 
5354 
8ii5 
0875 

3633 
638o 

91 4J 
1896 
4646 

7395 
♦i43 
2888 
5632 
8374 

iii5 
3853 
6^90 
9325 
2059 

4791 

7521 

249 
2976 
5700 

8424 
ii45 
3865 
6583 
9299 


3218 
6026 
8832 
i636 

4438 
7238 
♦o36 
2833 
5628 

8421 
1212 

4oo2 

6789 
9575 

2359 
5i42 
7922 
0701 

3478 

6253 

9027 
1798 

4568 
7336 

♦  io3 
2867 
563o 
83oi 
ii5i 


3908 
6664 
9418 
2171 
4921 

7670 

0417 
3i63 
5906 
8648 

1389 
4127 
6864 


23 

5o64 

7794 

o522 

3248 
5973 

8696 

1417 
4i37 
6855 
9571 


6617 
9435 

2252 

5o66 
7879 

0690 
3499 
63o7 
91 1 2 
1916 

4718 
75i8 
o3i6 
3ii3 
5907 

8700 
1 491 
4281 
7068 
9854 

2638 
5420 
8200 
0979 
3756 

653 1 
93o4 
2075 
4845 
7613 

0379 

3i44 
5907 
8667 
1427 

4i84 
6940 
9694 
2446 
5196 

7945 
0692 

3437 
6181 
8922 

1662 
4401 
7137 
9872 
2605 

5337 
8066 

0794 
3521 

6245 

8968 
1689 
4409 
7126 
9842 


6899 

9717 
2533 
5348 
8160 

0971 
3780 
6587 
9393 
2196 

4998 

7798 
0596 
3392 
6187 

8979 

1770 
4559 

7347 

♦  l32 

2916 
5698 
8478 
1257 
4o33 

6808 
9581 
2353 

5l22 
7890 

o656 
3420 

6i83 

8943 
1702 

4460 
72i5 
9969 
2721 
5471 

8220 
0967 
3712 
6455 
9197 

1936 

4674 
741 1 
♦  i46 
2879 

56io 
8339 
1067 
3793 
65i8 

9240 
1961 
4681 
7398 
♦ii4 


7181 


201 
5659 

844 1 

1252 

4o6i 

6868 
9673 
2476 

5278 
8078 
0876 
3672 
6466 


92599538 
2049 
4838 
7625 


04 II 

3194 
5976 
8766 
1 534 
43ii 

7086 
9858 
263o 
5399 
8167 

0932 
3697 

6459 
9219 
1978 

4735 
7491 
♦244 
2996 
5746 

8495 
1 241 
3986 
6729 

9471 

2210 
4948 
7684 
0419 
3i52 

5883 
8612 
1 340 
4066 
6790 

9512 

2233 

4o52 

7070 
o385 


7463 
♦280 
3096 
5910 
8723 

1 533 
4342 

7148 
9953 

2757 

5558 
8357 
ii55 
3951 

6745 


2328 
5ii7 
7904 
06890968 


3473 
6254 
9034 
1812 
4588 

7363 
♦i36 
2907 
5676 
8443 

1209 
3973 
6735 
9495 
2254 


Soil 
7766 

O520 

3271 
6021 

8769 
i5io 

4260 
70o3 
9745 

2484 

5222 

7958 
0692 
3425 

61 56 
8885 
1612 
4338 
7062 

9785 

25o5 
5224 

7941 
0657 


7745 
o562 
3378 
6192 
9004 

1814 

4622 
7429 
♦234 
3o37 

5838 
8637 
1435 
423 1 
7025 

9817 
2607 
5396 
8i83 


375i 
6532 
9312 

2090 
4866 

7640 
o4i3 
3i84 
5953 
8720 

i485 

4249 
701 1 

9771 
253o 

5287 
8042 
0795 
3546 
6296 

9044 
1790 
4535 

7278 
♦019 

2758 
5496 
823i 
0966 
3698 

642 
915 
1 885 
46ii 
7335 

057 
2777 
5496 
8213 
0928 


0   1   2 


3  4 


5  6  7  8  9 


Ilifr.  k.  Miih. 


I 

2 

3 

4 
5 
6 

7 
8 

9 


2b  1 

562 
843 
1124 
i4f>5 
1686 
1967 

3248 

2529 


282 

564 

846 

1 1 28 

i4io 

1692 

1974 

2256 

2538 


I 

2 

279 

558 

3 

4 

837 
1116 

5 
6 

7 
8 

1395 

1674 
1953 

2232 

9 

25ll 

280 
56o 
84o 
1120 
i4oo 
1680 
i960 
2240 
2520 


I 

277 

a 

554 

3 

83i 

4 

1108 

5 

1 385 

6 

1662 

7 
8 

1939 
2216 

9 

2493 

278 
556 
834 

III3 
1390 
166B 
1946 
3224 
2502 


I 

375 

2 

55o 

3 

825 

4 

1 100 

5 

1375 

6 

i65o 

7 

1925 

8 

3  300 

9 

2475 

376 
552 
828 
iio4 
i38o 
i656 
1933 
3208 
2484 


I 

273 

2 

546 

3 

819 

4 

1092 

5 

i365 

6 

i638 

7 

1911 

8 

2184 

9 

2457 

374 

548 

822 

1096 

l370 

1644 
1918 
2193 
2466 


I 

271 

3 

543 

3 

8i3 

4 

1084 

5 

i355 

6 

1626 

7 

1897 

8 

2168 

9 

2439 

372 

544 
816 
1088 
i36o 
i632 
1904 
2176 
2448 


Difl*.  &  Molt. 


14 


LOGABITHMS  OF  NUMBERS.. 


Minn. 

1000 

oi 

tn 
o3 
o4 

o5 
06' 

08 

09 

1610 
II 

i3 

14 

i5 

16 
17 
18 
19 

16  20' 
31 
22 
23 
24 

a5 

a6 

2J 
28 
29 

16  3o 
3i 

32 

33 
*I4 

35 
36 

37 
38 
39 

16  40 

4t 
42 
43 

"  w  t 

45 

.46 

47 
48 
49 

16  5o 

5i 

52 

3v 
54 

55 
56 

.57 
58 

59 


0      12     3     4 


5     6      7      8     9 


304  1200 
3913 

6625 

4   9335 
2o5  2044 

475o 

7455 

2060159 

2860 

3%lOO 


1471 

4i85 
6896 
9606 
23i4 

5o2i 
7726 
0429 
3i3i 
583o 


1743 
4456 
7167 
9877 
7.585 

5292 
7996 


•  8259 

207  0955 
365o 

6344 

♦  9035 

208  1725 

44i4 
7100 

♦  9785 
309  2468 

5i5o 

#  7830 
2ioo5o8 

3i85 

586o 

•  8534 

211  I205 

3876 

6544 
«  921 1 

212  1876 
4540 
7202 

♦  9862 
2i3  25ai 

5178 

•  78.33 
2140487 

3i39 

579O' 

#  8438 
2i5  1086 

3732 
6376 

•  9018 


2014 

4727 
7438 
♦I  48 
2856 

5562 
8267 


36990969 


8520 

1225 

3920 
661 3 
9304 

1904 

4**2 

7369 
♦o54 

2737 

5418 
8098 
0776 
3453 
6128 


4839 

747* 
218  0100 

2729 

5355 


8801 
1472 
4i42 
6811 

9477 

2142 
4806 
7468 
♦128 
2786 

5443 
8098 
0753 
3404 

6o55 

8703 
i35o 
3996 
664o 
9282 

1023 

450' 
7200 
9836 
2470 

5io3 

7734 
o363 

18 


3401 
6100 

8798 
1495 
4189 
6882 
9573 

2263 

4951 

7637 

0322 

3oo5 

5686 
8366 
1044 
3720 
6395 

9068 
1740 


3671 
6370 

9068 
1764 
4459 
7i5i 
9842 

2532 
5220 

7906 
0690 
3273 

5954 

8634 

l3l2 

8 


9335 
2007 


•  7980 
2190603 

3225 

5845 

•  oj^4 


4409 

7078 
9744 

2409 
5072 
7734 
o3o4 
3o52 

5709 
8364 
1017 
3669 
63i9 

8968 
i6i5 


4676 

7344 
♦oil 

2675 
533b 
8000 
0660 
33i8 


2285 

4998 
7709 
0419 
3127 

5833 
8537 
240 
3941 
6640 

9338 

2o34 
4728 
7421 
♦III 

2801 
5488 
8174 
0859 

3541 

6222 

8902 
579 
4255 
6930 

9603 
2274 
4943 
7611 

0277 

2942 
56o5 
8266 
0926 
3584 


42604525 


6904 
9346 

2187 
4826 
7463 


5974  6240 
8620  8895 
128J  i548 
3o34  4199 
6849 


6584 

9233 
1880 


7169 

9811 

245 1 
5090 
7727 
o363 
2997 


5366  5629 
7997  8260 


8242 
0866 

3487 
6107 
8726 


0626 
3254 
588o 

85o5 

1128 

3749 
6369 
8987 


0889 
35i7 
6143 

8767 
1390 

4oii 
663i 
9249 


9498 

2i44 

4780 
7433 

♦075 

2715 
5354 

0626 

3260 

5892 
8523 

Il52 

3779 

64o5 

9o3o 
i652 
4273 
6893 
951 1 


2557 
5269 
7980 
0690 
3397 

6io3 

8807 
i5io 
421 1 
6910 

9607 
23o3 

4997 
7090 

o38o 

3070 
5757 
8443 
II 27 
38io 

6490 
9170 

1 847 
45p3 

7197 

9870 
2541 
5210 

7878 
o544 

3208 
5871 
8532 
1191 
3849 

65o5 
9160 
i8i3 
4464 
7»i4 

9762 

2409 

5o54 

7 
o3 


2828 
5541 
825i 
0960 
3668 

6374 
9078 
1780 
4481 
7180 

9877 
2573 
5267 
7959 
0649 

3338 
6026 
8711 
1396 
4078 

6758 
9437 

2Il5 

4790 

7464 

♦i37 
2808 

5477 
8144 
0810 

3474 
6i37 
8798 
1457 
4ii5 


3099 
58i2 

8522 

r23i 
3939 

6644 
9348 
2o5o 
475 1 

7449 

♦  i47 
2842 
5536 
8228 
0918 

3607 
6294 
8980 
1664 
4346 

7026 
9705 

2382 

5o58 

7732 

o4o4 
3075 

5744 
8411 

1077 

3741 
64o3 

9064 
1723 
438 1 


3371 
6o83 

879^ 
5o2 

4209 
6915 

9618 

2320 
502I 

7719 

o4i6 

3lI2 

58o5 

84Q7 
1187 

3876 
6563 
9248 
io32 

4614 

7294 
9973 

265<) 
53a5 

7999 

0671 
3342 
6()Jo 
8678 
1 343 


6771 
9425 
2078 
473o 
7379 

♦027 
2673 
53i8 

X)3 


i33o  060 


2979 

5617 
8254 
0890 
3523 

6i55 
8786 
i4i5 
4042 
6668 

9292 

1914 
4535 
7 1 55 

9773 


3243 
588 1 
85i8 
1x53 
3786 

64i8 


3642 
6354 
9064 

1773 
4480 

7i85 

9889 
2590 
5291 
7989 

0686 
338i 
6074 
8766 
i456 

4i45 
6832 

9517 
2200 
4882 

7562 
♦241 
2918 
5593 
8266 

0938 
3609 
6277 

8944 
1610 


DiflT.  &,  Mult. 


7037 
9691 
2343 
4995 
7644 

0292 

2938 
5583 
8226 
0867 

3507 
6i45 
8781 
i4i6 
4o5o 

6682 


90499312 
1677  1940 
43o5  4567 
69307193 


9554 
2177 
4797 
7417 
♦o34 


9816 

2439 
5o5o 
7678 
0296 


4007 

6669 

933© 

989 

4646 

7302 
9956 
2609 
5260 
7909 

o556 
32o3 

5847 
8490 

Il3l 

3771 
6409 
9045 
1680 
43i3 

6045 
9375 

2203 

483o 
7455 

♦079 

2701 
5321 


4273 
6935 
9596 

2255 

4912 

7568 
♦221 

2874 
5525 

8174 

0821 
3467 
6111 
8754 
1395 

4o34 
6672 

?^ 

4576 

7208 
9838 
2466 
5092 
7718 

o34i 
2963 
5583 


I 
2 
3 

4 
5 
6 

7 
8 

9 


I 
2 

3 

4 
5 
6 

7 
8 


79408202 
0558)0819 


0   12   3  4 


5  6  7  8  9 


I 
2 

3 

4 
5 
6 

7 
8 


I 
2 
3 
4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 

9 


I 

2 
3 
4 
5 
6 

7 
8 

9 


271 
542 
8i3 
1084 
i355 
1626 
1897 
2108 
2439 


269 

538 


2( 

531 

807 

1076 

1 345 

i6i4 
i883 

2l52 
2421 


267 

534 

801 

1068 

1 335 
1602 
1869 
2i3o 
24o3 


265 
53o 
795 

1060 
i325 


2120 
2385 


263 
526 

789 
io52 
i3i5 
1578 
i84i 
2io4 
2367 


272 

544 

816 

1088 

i36o 
1 632 
1904 
2176 

2448 


261 

522 

783 

io44 
i3o5 
i566 
1827 
3088 
2349 


270 

540 
8io 
T080 
i35o 
1620 
1890 
2160 
2430 


268 

536 
8o4 
1072 
1 340 
1608 
1876 

2144 
2412 


266 

532 

798 

1064 

i33o 

1862 
2128 
2394 


264 
528 
792 

io56 

l320 

1 584 
i848 
2112 
2376 


262 
524 
786 
1048 
i3io 
1572 
i834 
2096 
2358 


Diff.  k.  Malt. 


LOGARITHMS    OF     NUMBERS. 


15 


Num. 

1060 

61 
62 
63 
64 

65 
66 

67 
68 
69 

1670 

71 
72 

73 
74 

75 
76 

77 
78 

79 
1680 
81 
82 
83 
84 

85 
86 

87 
88 
89 

2690 
91 

94 

95 
96 

9Z 
98 

99 

1700 

Of 

02 
o3 
o4 

o5 

06 

"7 
08 
09 

17  10 
II 
12 
i3 
i4 

i5 
16 

17 
18 
19 

Nam. 


01234         56789 


330  1081 
3696 
63io 


*   89229184 


1 342 
3058 
6371 


i6o4ii866 


221  1 533 

4i42 
6760 

#  9356 

222  i960 
4d63 

7165 

#  9764 

223  2363 

224oi48 

2740 

533 1 

«   7920 

225  o5o7 

3093 

5677 

#  8260 

2260841 
342' 

5999 

#  8576 

227  ii5i 
3724 
6296 

#  8867 

228  i436 
4oo4 
6570 

#  9134 


1794 

44o3 
701 1 
9617 
2221 
4824 

7425 
♦024 
2622 
5219 
7814 

o4o7 
2999 
5590 
8178 
0766 

335i 
5q35 


>9J 
)5i 


85i8 
1099 
3679 

6257 
8833 
i4o8 
3982 
6554 


4219 
6833 
9445 
2o55 

4664 
7271 
9877 
2481 
5o84 

7685 
0284 
2882 

5479 
8073 

0667 
3258 
5849 
8437 
1024 

36io 
6194 

8776 
1 357 
3937 

65i5 
9091 
1666 
4239 
6811 


4481 
7094 
9706 
23i6 

4025 
7532 
♦  i38 
2741 
5344 

7945 
o544 
3i42 
5738 
8333 


)26 


229  16 
42 
6818 

*  9377 

230  1934 

4489 

7043 

#  9596 
23i  2 1 46 

4696 

7244 

•  9790 

232  2335 

4879 

7421 

233  aSoo 
5o38 

7574 
2340108 

2641 

5173 

7703 

a35  0232 


9124 
1693 
4260 
6826 
9390 

1953 
45i5 
7074 
9633 
2189 

4745 
7298 
985 1 
2401 
4951 

7499 
♦045 
2590 
5i33 

7675 

♦  2l5 

2754 
5291 
7827 
o362 

2894 
5426 
7956 
o484 


0317 
6107 


3868 
6452 
9034 
i6i5 

4194 

6772 
9348 
1923 

4496 
7068 


2127 
4742 
7355 
9967 

2577 

5i86 

7793 
0398 
3oo2 
56o4 

8205 
0804 
3402 
5998 
8592 

ii85 

3777 
6366 

8955 

54i 

4127 
6710 
9293 
1873 
4452 

7o3o 
9606 
2180 
4753 
7325 


9381 
io5o 

4517 
7083 

9647 

2209 

4771 
7330 

9888 

2445 

5ooo 

7554 
♦106 
2656 
5206 

7753 
0299 
2844 
5387 
7929 

0469 
3oo8 
5545 
8081 
o6i5 


9638 
2206 

4774 

7339 

9903 

2466 
5027 
7586 

♦  i44 
2701 

5256 
7809 
o36i 
291 1 
5460 

8008 

o554 
3098 

564i 
8i83 

0723 
3262 

5799 
8334 
0868 


2759  3oi  I 


3i48 

5679 

8209 

0737I0990 

32643517 


3401 
5932 
8462 


9895 
2463 
5o3o 
7596 
♦  I  59 

2722 

5283 
7842 
o4oo 
2956 

55ii 
8064 
0616 
3i66 
5715 

8263 
0808 
3353 
5896 
8437 

0977 
35i5 
6o52 
8588 
1122 

3654 
6i85 
8715 
1243 
3769 


2389 
5oo3 
7617 
♦228 
2838 

5446 
8o53 
o658 
3262 
5864 

8465 
1064 
366i 
6257 


265o 
5265 
7878 
0489 
3099 

5707 
83x4 
0919 

3322 
6124 

8725 
1 324 
3921 

65x7 


8852  91 II 


i444 
4o36 
6625 
9213 
1800 

4385 

2l3l 

4710 

7288 
9863 
2438 
5oii 
7582 

♦  l52 

2720 

5287 
7852 

o4i6 

2978 
5539 
8098 
o656 

3212 
5766 

8320 
0871 
3421 
5970 

85i7 
io63 
3607 
61 5o 
8691 


1704 
4295 
6884 
9472 
2059 

4644 

7227 

9809 

238> 

496; 

7545 

♦  12X 
2695 
5268 
7839 

0409 

2977 
5543 
8108 
0672 

3234 
5795 
8354 
09x1 
3467 

6022 
8575 
1 1 26 
3676 
6225 

8772 
i3i7 
386i 
64o4 
8945 


12 
26 
8x39 
0750 
336o 

5968 
8574 
1 179 
3783 

6384 

8985 
1 583 
4i8i 
6776 
9370 

963 

4554 
7x43 
9731 
2317 


3x73 
5788 
8400 
ion 
3621 

6229 
8835 
x44o 
4043 
6645 

9245 
x843 
4440 
7o36 
9630 

2222 

48i3 
7402 

^6 


I23l 

3769 

63o6 
884i 
1375 

3907 
6438 
8967 
1495 
4022 


1 485 
4o23 
6550 

9995 
X628 

4x6o 
6691 
9220 
1748 
4274 


4902 
7485 
♦067 
2647 
5226 

7803 
0378 
2953 
5525 
8096 

0666 
3233 
58oo 
8365 
0928 

3490 
6o5i 
8609 
X167 
3723 

6277 
883o 
i38i 
3931 
6480 

9026 
1572 
4ii6 
6658 
9x99 

1739 
4277 
68x3 
9348 
1881 

44i4 
6944 
9473 
2001 
4527 


5i6o 
7743 
o325 
2905 
5484 


3435 
6049 
8661 
1272 
3882 

6489 
9095 
1700 
43o3 
6905 

95o5 
2io3 
4700 
7295 
9889 

2481 
5072 
7661 
♦248 
2834 

5419 
8002 
o583 
3i63 

5741 


]>ifr.  &.  Mult. 


8060 

o636 

32IO 

5782 

8353 

0922 
3490 
6037 
8621 
xi85 

3746 
63o7 
8865 
1423 
3978 

6532 
9085 
1 636 
4x86 
6734 

9281 
1826 
4370 
6912 
9453 

X992 
453o 
7067 
960  X 
2i35 

4667 
7197 
9726 

2253 


83i8 
0893 

3467 
6039 
8610 

X179 

3747 
63i3 

8878 
i44i 

4002 
6562 
9121 
1678 
4234 

6788 
9340 
1891 
444i 
6989 

9536 
2081 
4624 
7166 

9707 

2246 

4784 
7320 
9855 
2388 

4920 
745o 

9979 
25o6 


47791 5o3  2 


0   1 


3  4    5   6   7   8  9 


I 
3 
3 

4 
5 
6 

7 
8 

9 


I 
3 

3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 

9 


260 
520 
780 
io4o 
i3oo 
i56o 
1820 
2080 
2340 


261 

522 

783 

io44 
i3o5 
i566 
1827 
2088 
2349 


258 
5i6 

774 
io32 
1290 
i548 
1806 
2064 

2322 


259 

5i8 

777 
io36 
1295 
1 554 
i8i3 
2072 
233 1 


I 

254 

2 

5o8 

3 

762 

4 

1016 

5 

1270 

6 

1 524 

7 

1778 

8 

2032 

9 

2286 

255 
5io 
765 
1020 
1275 
i53o 
1785 
2o4o 
2295 


252 

5o4 

756 

1008 

1260 

l5l2 

1764 

2016 

2268 


253 

5o6 

759 

1012 

1265 

i5i8 

1771 
2024 

2277 


Diff.  &.  Malt, 


I 

256 

25? 

2 

5l2 

5i4 

3 

768 

771 

4 

1024 

1028 

5 

1280 

1285 

6 

1 536 

1 542 

7 

1792 

1799 

8 

2o48 

2o56 

9 

23o4 

23i3 

LOOABITHHS    OF    N0MBERS. 


0      1234         5     6     78 


ITSW 

31 

33 
34 

36' 

27 

29 

17  'So 
3i 

33 
34 

w3 
•Jv 
37 

38 

39 

1740 

4t 

42 

43 

44 
""  • f 

45 
46 
47 

48 
49 

1750 

Si 

53 

54 

55 
56 
57 
58 
59 

1760 

63 

64 

65 
66 
67 
66 
69 

1770 
71 
72 

73 
74 

75 
76' 

78 
79 

Ifain. 


5537 
8061 
0584 
3io5 
5625 

Bi43 

0660 
3175 
5689 
8201 

071a 

3222 

5730 


••135  5284 

♦  7809 
236o33i 

2853 

5373 

#  7891 
2370408 

3923 

5437 

•  7950 

338o46i 

2971 

5479 
»  7986 

239  0491 

2995 

5497 

♦  7998 

240  0498 

3996 

5492 

•  7988 

341  '0482 
3974 

5465 

t  7954 

342  0442 

ITi 

5414 

•  7898' 

343  o38o 

2861 
534 1 

344  0296  0543  0791 


0741 

3245 

5747 
8248 

0748 
3246 


5789 
83 1 3 
o836 
3357 
5876 

8394 
091 1 
3426 

5940 
8452 

0963 

3472 
5980 
8487 
0992 

3495 
5998 

8498 
0997 

3495 


60426294 
8566  8818 
1068  1 340 
36o9|386i 
6i28|638o 


86468898 


ii63 

3678 
6191 
8703 

I3l4 

3723 
6281 


5742  5992 
8337:8487 


'073,1 

'3333 

5714 


0980 

3472 
5963 


8203  8452 


0691 

3178 

8 1 46 


0940 
3426 
5911 
8395 


•o6'29o877 
3109  3357 
5589:5837 


2771 

5245 

7718 

245  0189 

2658 

5 1 27 

7594 

3460030 

3523 

4986 

744? 
•  9907 

347  2J65 
4823 

7278 


3366 

5'74o 
8212 
o683 
3i52 

5620 
8087 
o3o6|o552 
276913016 
5232  5478 


3019 

54oa 
7905 
o436 
2905 

5373 
7840 


7693 
♦  i53 
261 1 
5o68 


7939 
0399 

2837 

53i4 


7524  7769 


9733  9978 


248  2186 
4637 
7087 


243 1 
4882 
7332 


95369781 


349  1984 

443o 

6874 

•  9318 

3501759 


♦223 

2676 
5127 

7577 
♦026 

2473 

4oi 


2228 

4674 

71 197. 

956219806 
2004  2248 


i4i4 
3929 

6443 
8955 

1 465 

3974 
6482 


8737  8988 


1242 

3746 

6248' 
8748 


1493 

3996 
6498 
8998 


1247  1497 
3745  3995 

62416491 

87368985 
1229*1479 
3721  ~ 
6212 


3970 
6461 

8950 

1437 


8701 

1189 

36753923 

6160,6408 

8643:8891 

1125  1373 
36o5'3853 
6o85:6332 
85628810 
1039  1286 

35143761 
59876234 
84598706 


0930 
3399 

5867 
8333 
0798 

32t)2 

5724 

8i85 
0645 
3[o3 
5559 
801 5 

0469 
2921 
5S72 
7822 
0271 

2718 
5i63 

7607 
♦o5o 
2492 


1177 
3646 

6ii4 

858o 
1045 
35o8 
5970 

843i 
0891 
3349 
58o5 
8260 

0714 
3i66 
5617 
8067 
o5i5 

2962 
5408 

7852 
0294 
2736 


6547 
9070 
1592 
4it3 

6632 

91 5o 
1666 
4i8i 


66946945 


9206 

17^6 
4225 
6732 
9238 
1743 

4246 
6748 
9248 

1747 
4244 


9235 
1728 
4220 
6710 

9i 
I 

417a 
6656 
9139 

1621 
4ioi 
658o 


1844 
4365 
6884 

9401 

19^7 

4432 


9457 

1967 
4476 
6983 
9480 
1993 

4496 
6998 

9498 
1997 

4494 


67406990 


9484 

1977 
4469 
6959 

9447 
1935 
4420 
6905 
9388 


9o58  93o5  9553 


1534 

4008 
6482 
8953 
1424 
3893 

636o 
8826 
1 291 
3755 
6217 

8677 
ii36 

35o4 

6o5l 

85o6 

0959 
3412 
5862 
83i2 
0760 

3207 
5652 


7o52 
9575 
2097 
4617 
7i36 

9653 
2169 
4683 
7196 

9708 

2  3 18 

4727 
7234 
9739 

2244 

4747 

7248 

9748 

3247 
4744 

7239 
9734 

2326 
4718 
7208 

ti 

4669 

7i5j 
9636 


4349  459 


1869 
4349 
6828 
93o5 
1781 

4256 
6729 
9200 

1671 
4i4o 

6607 
9073 
i538 
4001 
6463 

8923 
i382 
384o 
6296 
8751 

I205 

3657 
6107 
8557 
ioo5 

345i 

5897 


2117 

'7 
7076 


3039 

45o3 
6976 
9448 
1918 
4386 

6854 
9320 
1784 

4247 


8096,8340 
05390783 
298013234 


670969: 


4086 

6542 
8997 

i45o 
3oo2 
6352 

8802 
1249 

3696 
6i4i 
8585 
1027 
3468 


9 

7556" 
•079 


73o4 
9827 

33492601 
48695121 


7387 

9905 

2420 
4935 
7448 
9959 

2469 

4977 
7484 
9990 

2494 

4997 
7498 
9998 


t 


2496 
4993 

74» 

998 

2476 

4967 
7457 

9945 

3433 

4917 

7401 

9684 

2365 

4845 
7324 
9801 
3376 

4750 
7223 


2I05 

4633 


7100 


2o3o 

4493 

.55 


94i5 

1874 
433 1 
6787 
9242 

1695 

4147 
6597 

9047 
1494 

39^ 
63i 
8829 

1271 
3712 


7639 

♦i56 

2672 
5i86 

7699 

♦2 10 

2720 
5228 

7735 
♦240 
2744 

5247 

7748 
♦248 
2746 
5243 

7738 

♦232 

2725 
5216 
7705 

♦iq4 
2680 
5i66 
765o 

♦  l33 

261 3 

5093 
7571 
♦048 
2524 

4998 

7470 
9942 
2411 
4880 


7347 
95669813 
2277 
4740 
7201 


9661 

2120 

4577 
7o33 
9487 

io4o 
4392 
6842 

1739 

4i85 
663o 
9073 
i5i5 
3956 


INflT.  h.  MulL 


I 
3 

3 
4 
5 
6 

7 
8 

9 


I 
3 
3 

4 
5 
6 

7 
8 

9 


I 

a 
3 

4 
5 
6 

7 
8 

9 


01234        56789 


z 
2 

3 
4 
5 
6 

7 
8 

9 


353 

5o4 

756 

1008 

1260 

l5l2 

1764 
2016 
2268 


35o 

5oo 

75o 

1000 

I35o 

i5oo 
1750 

3000 
335o 


348 
496 

744 

993 

1240 
1 488 
1736 
1984 

2333 


253 

5o6 
759 
1012 
1265 
i5i8 
1771 

3034 

3277 


244 

488 
732 
976 

1230 

i464 
1708 
1953 
2196 


25 1 

5o2 

753 

ioo4 

1255 

i5o6 

-1757 
2008 
2259 


4 

747 

996 
1245 

1494 
1743 
1992 
2241 


I 

246 

2 

492 

738 

3 

4 

984 

5 

I23o 

6 

1476 

7 

1722 

8 

1968 

9 

3214 

347 

494 

74i 

988 

1235 
1482 
1729 
1976 

2233 


345 

490 

735 

980 

1335 

1470 

I715 

i960 

3205 


DiC  Ac  Mult. 


LOGARITHMS     OF     NUMBERS. 


17 


Num. 

1780 

81 
82 
83 
84 

85 
86 

87 
88 
89 

1790 

91 
92 

94 

95 

96 

9Z 
98 

99 

1800 
01 
02 
o3 
04 

o5 
06 
07 
08 
09 

18  10 
II 

12 

i3 
i4 

i5 
16 
17 
18 
19 

18  20 
21 
22 

23 

34 

25 
36 

37 
38 

29 

18  3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

Num. 


0      12      3     4 


5     6      7     8     9 


9016 
i44i 
3865 
6287 


8709  895 


350  420014444  4688 
663968837127 

#  9077  9321  9564 
261  i5i3  1757  2001 

394941924435 

6382 

#  881 5 

252  1246 
3675 

6io3 

#  853o 

253  0966 
338o 
58o3 

#  8224 

254  0645 
3o63 
5481 

#  7897 
255o3i2 

2725 
5i37 

7548 

#  99^7 

256  2365 

4772  5oi3 
7177  7418 

#  9682  9822 

257  1984  2224 
4386  4626 

6786 

#  9185 

258  1 582 
3978 
6373 

#  8776 

259  1 1 58 
3549 
5939 

#  8327 

26007140952 
3099  3338 
5484  5722 

#  78678105 

261  0248  o486 

2629  2867 
5oo8  5246 
7385  7623 

#  9762 

262  2x37 

45ii4748 
68837121 

#  9255  9492 

263  1625  1862 
3993  423o 

636 1  6597 

#  87278063 

264  1092  1 328 
3455  3691 
58176053 


9544I9787 
1975 

4404 
6832 


5176 
7614 
♦o52 
2488 
4922 

71127355  75 


9258 
i683 
4107 
6529 


2218 

4647 
7074 

9501 
1926 

4349 
6772 
9193 


1 1 28 
3547 
5964 
838o 
0794 

320813449 


1370  1612 
3789  4o3o 


6206 
8621 
io36 


6447 
8863 

1277 

3690 
6102 
85i2 
0921 
3328 


75o6 
9904 
23oi 
4697 
7091 

9484 
1876 
4266 
6655 
9043 


1668 
4o53 
6437 
8820 
1 201 


7071 
9436 
1801 

4i64 
6526 


5460 
7832 
♦2o3 
2572 
4940 

7807 
9673 

2o37 
44oo 
6762 


5908 
8346 
0783 
3218 
5652 


246r 
4889 
7317 

9743 
2168 
4592 

7014 
9435 

1 854 
4272 
6689 
9104 
i5i9 

8931 
6343 
8753 
1161 
3569 

5975 
838o 
0783 
3i85 
5586 

7o85 
o383 
2780 
5176 

7570 

^l 

4744 
7i33 
9521 


6i5i 
8590 
1026 
3462 
5896 


7842 
0273 
2703 
5x32 
7560 

9986 
2411 

4834 
7256 

9677 
2096 

45i4 
6o3i 
9346 
1760 

4172 
6584 
8994 
i4o2 
38io 

6215 
8620 
1 023 
3425 
5826 

8225 
0623 

3020 

541 5 
7809 

♦202 
2593 
4o83 
7872 
9759 


♦228 
2653 
5076 

7498 

99^9 

2338 
4756 
7172 
9587 
2001 


1907 
4292 
6675 
9o58 
1439 

38i8 
6197 
8574 
0950 
3324 

5697 
8069 
o44o 
2809 

5i77 

7544 
9900 
2273 
4636 
6998 


2145 
453o 

6914 
9296 

1677 

4o56 
6435 
8811 
1187 
3562 

5935 
83o6 
0677 
3o46 
54i4 


1270 
3705 
6139 


0471 
2895 
53i8 
7740 
♦  161 

258o 
4997 
74i4 
9829 
2242 


44 1 4  4655 


6825 
9235 
1643 
4o5o 

6456 
8860 
1264 
3665 
6066 

8465 
o863 
3259 
5655 
8o48 

o44i 

2832 
5222 
761 1 
9998 

2384 
4769 
7x52 

9534 
1915 

4294 
6672 

904 
142 
3799 

6172 
8543 
0914 
3283 
565 1 


7780 
♦  i46 

25lO 

4873 

7234 


7066 

9475 
1884 
4291 

6696 

9IOI 
i5o4 


Diff.  &  Mult. 


8705 

iio3 
3499 
58o4 
8288 

0680 
3071 
5461 

7849 

♦237 

2622 
5oo7 
7390 
9772 
2i53 

4532 
6910 
9287 
1662 
4o36 

6409 
8781 
ii5i 
3520 
5887 


2822 
5239 
7655 
♦070 
2484 

4896 
7307 
9716 

2125 

453i 

6937 
9341 

1744 
4i46 
6546 

8945 
1342 
3738 
61 33 
8527 


S 


8017 
o382 
2746 
5x09 
7470 


33io 
5700 
8088 
0475 

2861 
5245 
7628 
♦010 
2391 

4770 
7148 
9524 
1900 
4274 

6646 
9018 
i388 
3757 
6134 


0619 
2982 
5345 


82548490 


o855 
3219 
558i 


770617942     9 


0 


3      4 


5     6     7     8     9 


I 

2 

340 
480 

3 

4 
5 
6 

7 

720 

1200 

i44o 
1680 

8 
9 

1920 
2160 

i 


Diff.  8l  Mult. 


LOGARITHMS  OF  NUMBERS. 


MiHiiL 

4t 
43 

■v4V 

45 
46 
47 
S 
49 

i8  5o 
5 1 

54 

55 
56 

5? 
5B 
59 

t8  6o 

6t 
6a 
63 
64 

65 
'66 
67' 
66 

% 

18  7O' 

71 

'"J'SI 

73 
74 

75 
76 

77' 
78 

79 

1880 
81 
83 
83 
84 

85 

87 
88 

89 

18  90 

91 

93. 

94 

9S 

98 
■itT'tiMniit 


0 


•  8178 

a65  o538 

2896 
3a33 
7609 

#  9964 

a66  2Ji7 

4669 

7oao 


1  2  3 

84i4|M5od886 


5  6  7  8  9 


0774 
3 1 3a 

5489 

7845 

2552 

4904 

/  JS  HiyJ  *jl 


93699604 


267  1717 

4064 

64io 

•  8' 

268  1097 

3439 
5780 

•  8119 
a69  0457 

2794 

5129 

7464 

2703129 
4459 

6788 

•  91 16 
271  1443 

3760 
6093 


1010 

3368 
5725 
8080 

0434 

2787 
5i39 

7490 
98  J9 

21,87 


>ioo4 


59606196 
83 16  8551 


1952 
4299I4533 


6644 

.3673 
6014 

0691 
3028 


53635: 


2362 

469a 

7021 
9349 
1670 
4ooi 
6325 


•  84i68648 

272  0738  0970 
3o58  3290 
5378  56io 
76967938 


2730013 

3338 

4643 

6956 

•  9268 

374  1578 
3888 


0244 

4874 

7187 


«  8563 
2750809 

3ii4 

5417 

7719 

2760020 

2320 


9122 

1 2461 1 48 1 


0670 
3o23 

5374 

772.5 

■074 


38; 


0905 

32'3\J' 
5609 
7060 

o3o9 


6879 
9323 

I300' 

■3907' 
6248 

8587 

0925 
3261 


24a  I 
4768 

711.3 
9457 
I  Bod  20. 


4i4i 


6482  6716 


8831 
II 58 


2596 

:49a5 

7254 
9582 
1908 
4234 
6558 


7348 
96Q2 
2o34 


9054 
1392 


34953728 


i3o 

I164 

m63b496 

'  "2828 

5i58 


6790 

91 1 3 
1434 

3754 


888 
1202 

3522 

584 1 
8i59|839i 

04760708 
3oa3 


60736. 


2791 
SioS 
74i8 


94999730996 


1809 

4119 

6196  6427 


8734 
1 039 

3344" 
5647 
7^9 
02  5o 

2549 


2o4o 

43  5o 
6658 
8964 

1.270 


4618  4848 


6915 

.«  93 1 1 

277  i5€6 

6093 
•  8383 

278  0673 
2962 

D2DO 


7145 
944 
1736 
4029 


8613 

0902 
3191 
5478 


5078 
7375 
967' 


'O 


4258 


632il655o 
884 1 


4376 


6o63 

1^ 

,0730 
3o6i 
5391 

■7720 
♦047 

'2.374 


7487 
9815 

2l4l 

4466)4699 

7032 


9345 

1666 


63o5 
18633 


5337 


0939 
3254 


■76507881 


2271 
458 1 
6888 
9195 

i5oo 


3574  38o5  4*>35 
587761086338 
817984098640 

048007100940 

3a39 


2779  ^*^ 


•*I92 

481 1 
71 19 
9426 

I73I 


fi3t 
3420 

5707 


53o7' 
■7604 
9900 
2194 
4488 

6780 
9070 

i36o 


5936I6 


3.3«J7 
7834 
♦  129 
2424 
4717 

7009 

3877 
164 


9358 
1717 
4075 
643 1 


9M9830 


io53 
4S11 


87879*^2 


666769037138 


ii4o 
3493 

5844 
8195 
o543 

2801 
5237 
7582 

2268 

4610 
6950 
9288 
1626 
3962 

6297 
863o 
0963 
3294 
5624 

7953 
0280 
2606 
4931 
7255 

9577 
1898 
4318 


1376 
3728 
6080 

8420 
0778 


2189 

4546 


9257 

161 1 
3963 
63i5 
8664 
ioi3 


5t>i8 

7374 

94939728 

18462082 


565 


3 1 2613360 

5472 

7817 
♦  160 


5706694 


8o5i 
0394 
35033737 


48445078 

71837417 
9522  975(1 
1850I2093 
4195442 


6530J6764 
8864 


58576090 

«i8584i8 
'o5i  3  0745 
2839 
5i63 

7487 


6537  671 
8854 


1171 
3486 


2733 
5o42 


1196 
3527 


9097 
1429 
3760 


9809 
ai3o 
445o 


6769 
9080 


i4o2 

3717 


5799603 
81128343 
0423  0654 


3964 


73507581 
9656 
1 961 


4265  4496  4726 
6568  6798  7028 
887091009330 
1170  i4oo  i63o 
3469  3()99  3^29 


5767 
8o63 
0339 
2653 
4946 

73.38 
95a8 
1818 
4106 
6393 


9887 
2192 


♦o66jo3o2 
2435  2660 
4782 


4>99 

'5o 

8899 

1248 

3595 
1 
8285 
0629 
3971 


53i2 

765 1 
9090 

2327 
9J4662 


3071 
5396 

'77 » 


♦04 1 

2362 

4682 

7001 
9318 

634 


9J795: 

0374 
2594 
4914 


394914 
6262 

8574 
o885 


3195 

55o4 
7811 
♦117 

,24a  2 


^997 
8293 

o58» 

2882 

5175 

7467 

9757 

2o47 

4335 

6622 


6226 
8523 
o8ib 

3lI2 

54o5 


4434 
6785 
9134 
i483 

383o 
6175 
8520 
o863 
32o5 

5546 
7885 

♦  223 

256o 

4896 

723o 
9564 
1893 
4236 
6555 

8884 
121 1 
3S36 
586i 
8184 

o5o6 
2826 
5 1 46 

7232f7464 
95499781 

i865 


^7 
9iJo 
1662 
3093 
6323 

865 1 
0978 
33o4 
5628 


mw.  &  Mult 


^2097 

i8ol|4ii 
64936725 
88069037 
1116  i347 

34a63657 


8042 
o348 
3653 

4956 


2276 


685o 


956ci 
i860 
4i58 

6456 
8752 

K*47 
3341 
5634 

7925 
♦2 1 5 
25o4 
4792 
7079 


8273 
0578 
2883 

5j87 


7259  7489 


1 

2 
3 
4 
5 

6 

7 
8 

9 


I 
2 
3 
4 
5 
6 

7 
8 

9 


9790 
2090 
4388 

6686 
8982 

1277 
3570 
5863 

81 54 
0444 
2733 
5a2i 

7307 


0      1234        56789 


235 

470 
7o5 
940 
1175 
]4io 
1645 
1880 

2Il5 


236 

472 
708 

944 
1180 
i4i6 
16S2 

1888 
2124 


233 

466 

609 

93a 

ii65 

1398 

i63i 

1864 

2097 


234 

468 

702 

936 

1170 

i4o4 
i638 

187a 
2106 


I 

23 1 

a 

469 

3 

693 

4 

924 

5 

ii55 

6 

i386 

7 

1617 

8 

1 848 

9 

2079 

232 

464 

696 

938 

1160 

1392 

1624 
1 856 
2088 


I 

929 

2 

458 

3 

687 

4 

916 

5 

1145 

6 

1 374 

7 

i6o3 

8 

i832 

y 

2f)6l 

23o 

46o 

690 

920 

II  5o 

i38o 

1610 

i84o 

2070 


Difr.  &,  Mult. 


Num. 

1900 

01 
02 
o3 
04 

o5 
06 
07 
08 
09 

19  10 
II 
12 
i3 
i4 

f5 
16 
17 
18 
19 

1920 
21 
22 

23 

24 

35 

36 

37 

28 

29 

1930 

3i 

33 

33 
34 

35 

do 

37 
38 
39 

1940 
4i 
4a 
43 

45 
46 

48 

49 

1950 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

Num. 


LOGARITHMS  OF  NUMBERS 


19 


0      12      3     4         5     6     7     8     9    I 


]>ijf.  4c  Mult. 


278  7536  7766 

#     9821  4050 

279  2io5  2333 
4388  4616 
66696898 


*  8950 

280  1239 
35o7 
5784 

*  8059 

281  o334 
2607 

4879 

71  So 

«  9419 

282  1688 
3955 
6221 

•  8486 

283  0750 

30T2 

5274 

7534 

#  9793 

284  205l 

4307 
6563 

#  8817 

285  1070 

3322 


9178 

1457 

3735 
601 1 
8287 

o56i 
2834 
5io6 

7377 
9646 

1915 
4182 
6448 
8712 
0976 

3238 
55oo 


0278 
2562 

4844 
7126 

9406 
685 
3963 
6239 
85i4 

0788 
3o6i 
5333 

7604 
9873 

2i4i 
4408 

6674 
8939 
1202 

3465 
5726 


7780  7986 
♦oi9o>45 


2276 

4533 
6788 
9043 
1296 
3547 


4759  4984 


5573  5798 

"  "8048 

0296 

2543 

4789 


7823 

2860071 

23i9 

4565 

6810 

♦  9054 
2871296 

3538 

5778 

♦  8017 
2880255 

2493 
4728 
6963 

•  9196 
389  1428 

366o 
5890 

*  8118 

290  o346 
2573 

4798 

7022 


2502 


8222 

o5o6 
2790 

5072 
7354 

9634 
1912 

4190 
6467 
8742 

1016 

3289 
556o 
783 1 
♦  100 

2368 
4635 
6901 
9165 
1429 

3691 
5952 

8212 
0470 
2728 


7034 
9278 

l520 

3762 
6002 

8241 

0479 
2716 

4952 

7186 

9419 

i652 
3883 
6112 
834i 

0560 
2795 
5o2t 

7245 


7014 
9268 

l52I 

3773 

6023 

8273 

o52i 
2768 
5oi4 

7359 
95o3 
1745 
3986 


723 

949 

1746 

3998 

6248 

8497 
0746 
2993 
5238 

7483 
9726 
1969 
4210 
6226I6450 


845^» 
0735 
3oi8 
53oi 
7582 

9862 
2 1 40 
4418 

6694 
8969 

1243 
35i6 

5787 
8o58 
0327 

2595 
4862 
7127 
9392 
i655 

3917 
6178 

8438 
0696 
2953 

5210 
7465 
9719 
1 971 
4223 


9246  9468 


291  1 468 
368o 
5908 

•  8127 

292  o344lo566|o788 


8465 
0703 
2939 
5175 

7409 

9643 

1875 
4io6 
6335 
8564 

0792 
3oi8 
5243 

7467 
9690 

1912 
4i33 
6352 


1690 
3911 
61 3o 
8349  8570 


6473 
8722 
0970 
3317 
5463 

7707 
9951 
2193 
4434 
6674 


868989 
0927 
3i63 
53 

76. 

9866 
2098 
4329 
6558 

8787 

1014 
3240 
5466 
7690 
9912 

2i34 
4355 

6574 
8792 
1009 


i3 
ri5o 
3387 
5622 
7856 

♦089 

2321 

4552 
6781 
9010 

1237 
3463 
5688 
7912 
♦i35 

3356 

4577 
6796 

9014 

I23l 


8670 
0963 
3247 
5529 
7810 

♦090 
2368 
4645 
6922 
9197 

1470 
3743 
6oi4 
8285 
05540781 


8907 
1 192 
3475 

5757 
8o38 

o3i7 
2596 
4873 
7149 
9424 

1698 
3970 
6242 
85x2 


91 36 
1420 
3703 
5985 
8266 

o545 
2824 
5ioi 

7377 
9651 

1925 

4197 


9364 
1 648 
3931 
62i3 


9593 
1877 
4160 
644i 


7604 
9879 

2 1 52 

4425 


8494  8722 

0773 
3o5i 
5328 


lOOI 

3279 

5556 
7832 
♦106 


2822 

5o88 

7354 
9618 
1881 

4i43 
64o4 
8663 
0922 
3179 

5435 
7690 
9944 
2196 
4448 

6698 

8947 
1 195 
3442 
5687 

7932 

♦175 
2417 
4658 
6898 


3o48 
53i5 

7580 

9844 
2107 

4369 
663o 
8889 
ii48 
34o5 

566i 
7916 
♦  169 
2422 
4673 

6923 
9172 
1420 
3666 
5912 

8i56 
0399 
2641 
4882 
7122 


91 36 

1 374 
36io 
5845 
8079 

o3i2 
2544 

4775 
7004 
9232 

1 460 
3686 
5910 
8i34 
o357 

2578 

4799 

7018 

9236 
1453 


64696696 
8739-  " 
1007 

3275 
5541 
7807 
♦071 
2334 

4595 
6856 
9115 
1373 
363o 

5886 
8i4i 
0394 
2647 
4898 

7148 
9397 
1644 
3891 
6i36 

838i 

0624 
2865 
5io6 
7346 

9584 
1821 

4o57 


8966 
1234 

35o2 
5768 
8o33 
0297 
25oo 

4821 

7082 
9341 
1599 
3856 

6112 

8366 
0620 
2872 
5i23 

7373 
9622 
1869 
4ii6 
636i 

86o5 
o848 
3090 
533o 

7570 


9360 
1598 

3834 
60696292 


83o3 

o536 
2767 

4998 

7227 

9455 

1682 
3908 
6i33 
8356 
o579 

2800 

5020 

7240 
9458 
1674 


8526 

0759 
2990 

5221 

745o 
9678 

1905 
4i3i 
6355 

8579 
0801 

3o22 
5242 
7461 
9679 
1896 


9808 
2045 
4281 

65 16 
8749 

0982 
32i3 

5444 
7673 
9901 

2127 
4353 
6578 
8801 

I023 

3244 

5464 
7683 
9901 
2118 


238o 
4652 
6923 
9192 
i46i 

3728 
5995 
8260 
o523 
2786 

5o48 
73o8 
9567 
1825 
4082 

6337 
8592 
0845 
3097 
5348 

7598 
9846 
2094 
4340 
6585 

8829 
1072 
33i4 
5554 
7793 

♦o32 


2269 

45o4 
6739 
8973 

I2o5 

3436 
5667 
7896 

♦  123 

235o 
4576 
6800 
9023 
1245 

3466 
5686 

7905 

♦  123 

2339 


01234        56789 


I 
a 
3 
4 
5 
6 

7 
8 


[ 

2 
3 

4 
5 
6 

7 
8 

9 


I 
2 
3 

4 
5 
6 

7 
8 


227 

454 
681 
908 
ii35 
i362 
1589 
1816 
2043 


228 
456 

684 
912 

ii4o 
i368 
1596 
1824 

2o52 


I 

225 

226 

2 

45o 

452 

3 

675 

678 

4 

900 

904 

5 

II25 

ii3o 

6 

i35o 

i356 

7 

1575 

i583 

8 

1800 

1808 

9 

2025 

2o34 

223 

446 

669 

892 

iii5 

1 338 

t56i 

1784 
2007 


224 

448 

672 

896 

II 20 

1 344 
i568 
1792 
2016 


221 

442 
663 
884 
iio5 
1 326 
i547 
1768 
1989 


223 

AU 
666 
888 
mo 
i333 
i554 
1776 
1998 


Diif.  6l  Mult. 


i 


■ 


M 


LOGARITHMS  OF  NUMBERS. 


Nm.  0      12      34 


5     6      7     8     9 


6i 

m 

M 

m 
m 

#7 
66 

69 

1970 

71 
7a 
73 

74 

75 
76 

77 
78 

79 

1980 

St 

83 

85 
86 

07 
88 
89 

1990 

91 
93 

oi 

yt 

95 
96 

97 

98 

no 
aooo 

Of 

03 
o3 
d4 

■o5 

07' 
08 

.09 

30  10 
II 
13 
l3 
l4 

i5 
16 
17 
18 
19 


{2032561  3783 

47764997 
6990  731 1 

•  93039434 
293  i4i5  i636 

3626 

•  8o44 
394025 1 

3457 

4662 
6866 

•  9069 

395  1271 
347  If 

5671 

7869 

3960067 

3363 

4458 

6652 

•  8845 
397'  io37 

3227 

5417 

7605  7824 

•  9792  ♦on 
398  1979  3197 

4i64  4382 
6348  6566 

•  853 1 
3990713 

2893 
5073 
7353 

•  9420 
3oo  i6o5 

3781 
5955 

•  8128 

3oi  «3oo 

3471 
4641 
6809 

•  8977 

3os  1 144 
3309 

5474 
7637 

•  9799 

3o3  rg6i  2177 
4i3i  4337 
6280  64q6 

•  8438  8653 
3a4  0595  0810 

2751 
4905 
7059 

•  9219 
3«>5  1 363 


8766I89! 

0913 

3119 

5334 
7527 
89I9510  9730  9950 


3ou4 
5319 

743S 


96459867 

1857  3078 

4068 
6277 
8485 
0693 
2898 


6111 
83oo 
o5o6 
2703 
4897 

7001 
9383 

1475 
36f>5 
5854 

8043 

023o 

a4i6 
4601 

6785 

8749  8967 
1149 


3225 

5440 

7654 


1931 
4i3i 

633 1 

852Q 

0720 
2922 
5u6 

73io 

9502 
1694 
3884 
6073 


a634 
4819 
7003 

9185 
1367 

3329I3547 
5509 

7687 

9864 
3o4i 
4316 

6390 
8562 


8261  8480 
o448  0667 
2853 
5o38 
7331 


0734 
5905 

5o75 
7343 
941 1 


0951 

3l32 
5291 

74oo 
9627 

1794 

39S9 
612.3 

8286 

o448 

23q3  3609 
4553  " 


6711  6927 
88699085 
1026  1243 

3397 

5533 

77o5 
9857 
3oo8 


2l5l 

435 1 

655o 
8748 
0945 
3i4i 
5336 

7539 
9732 
1913 
4io3 
6393 


366813890 
5883  61  o5 


1 168 
333o 
55o8 

7677 
9844 


2825 


4769  4984 


7143 
9301 
1457 

36i3 

5767 
7920 
♦073 

2324 


8097 

o3o9 

2520 

473o 
6940 

9147 
1 354 

356o 

5764 
7968 
♦  170 

3371 
4571 

6770 
8968 
ii65 
336i 
5555 

7748 
9941 

3l32 
4332 

65ii 


3071 
5356 
7439 

9633 

i8o3 
3983 
6162 
834o 


i386 
3556 
5725 
7893 
♦001 

2237 

4393 
6556 

8718 
0880 

3o4i 
5200 
7359 
9516 
1673 

3828 
5982 
8i35 
0288 
2439 


83i8 
o53o 
2741 

4951 

7160 
9368 
1575 
3780 

5985 
8188 
0390 

3591 
4791 

6990 
9188 
1 385 
358o 

5774 

7968 
♦160 
235i 
4541 
6730 

8918 
i[o4 
3290 

5474 
7658 

9840 
2021 
4301 
638o 
8558 

0735 


5172 
7381 
9589 
1795 
4ooi 

6205 
84o8 
0610 
3811 
Son 


72107430 

94089637 

i6o4 

38oo 

5994 


i6o3 
3773 
5942 
8110 

0377 

3443 

4608 

6772 
8935 
1096 

3257 
5416 
7575 
9732 
1888 

4o43 
6198 
835 1 
o5o3 
2654 


4333 

6547 
8760 

0973 

3i83 


6436  6646 
8629  8849 


o83i 
3o3i 
523 1 


8406 
o5o8 
2709 

4979 
7168 

9355 
1 543 
3727 
5911 
8094 

0276 
3457 
4637 
6816 
8994 

1170 
3346 
5520 
3 


8187 
0379 
2570 
4760 
6949 

9i36 

i323 
35o8 
5693 
7876 

♦o58 
2239 
4419 
6598 
8776 

0953 
3 1 38 
53o3 
7476 
9648 

3o37 
4207 
6376 

8544 
0711 

2876 
5o4r 
7204 
9367 
i528 

3689 
5848 
8006 
*i63 
2319 

4474 
64 1 3  6628 
85668781 
07180933 
2869  3o84 


3473 
5632 

7790 
9948 

3io4 


io5i 
335i 
545i 


0494 
3675 
4855 
7034 
921 1 

1 388 
3563 

5737 
7911 
♦o83 

3354 

4424 

65o3 
8760 
0937 

3093 
5257 
7431 
9583 
1745 

3905 
6064 
8333 
0379 
3535 


01234         56789 


Diif.  &,  Mult. 


1 

231 

333 

3 

442 

444 

3 

663 

666 

4 

884 

888 

5 

iio5 

mo 

6 

1 326 

i333 

7 

1 547 

i554 

8 

1768 

1776 

9 

1989 

1998 

1 

319 

438 

3 

3 

657 

4 

876 

5 

1095 

6 

i3i4 

7 

1 533 

8 

1752 

9 

1971 

330 
440 
660 
880 
1 100 
]330 

1 540 
1760 
1980 


I 

217 

3 

434 

3 

65 1 

4 

868 

5 

io85 

6 

i3o2 

7 

i5i9 

8 

1736 

9 

1953 

3l8 

436 

654 

87a 

1090 

i3o8 

1 526 

1744 
1963 


I 

3l5 

3 

43o 

3 

645 

4 

860 

5 

1075 

6 

1390 

7 

i5o5 

8 

1730 

9 

1935 

3l6 

648 

864 

1080 

1396 

l5l3 

1738 
1944 


DiC  &  Mult. 


iP 


LOGARITHMS  OF  NUMBERS 


21 


Num. 
2020 

31 
23 
33 
24 

a5 
a6 

37 
28 
39 

30  3o 
3i 
3a 
33 

35 
36 

37 
38 
39 

3o4o 
4i 
42 
43 
44 

45 
46 

47 
4S 

49 

30  5o 
5i 

52 

53 

54 

55 
56 

57 
58 

59 

3060 
61 
62 
63 
64 

65 
66 

67 
68 
69 

3070 
71 

73 

73 

74 

75 
76 

77 
78 

79 
Num. 


12     3     4 


5     6     7     8     9 


305  35i4 
7812 

306  2io5 

42  5o 

6394 

«   8537 

307  0680 
2820 

4960 


3o8i374 
3509 

5644 
7778 

#  9910 
309  2042 

4172 

63o3 

♦  843o 
3ioo557 

2684 
4809 

6933 
# 

3ii  I 178 
33oo 
5420 


7539 

#  9657 
3i2  1774 

3889 

6004 

♦  8II8 

3i3o23i 
2343 

4454 
6563 

♦  8672 
3140780 

2887 
4992 
7097 

#  9201 
3i5  i3o3 

34o5 
55o5 
7605 

,%  9703 

3i6  1801 

3898 

5993 

8088 

3170181 
2373 
4365 
6455 

*  8545 


3729 

5878 
8026 

♦  174 

2320 

4465 

6609 
8752 
0894 
3o35 

5i74 
73i3 
945 1 
1 587 
3723 

5858 
7991 

♦  i.?3 

2255 

4385 

65i5 
8643 
0770 
2896 

5021 

7145 


9656  9269 
1391 
35i2 
5632 


3944 
6093 

8241 
o388 
2534 

4679 
6823 
8966 
1 108 
3249 

5388 

7527 

9664 
1801 
3936 

6071 
8204 
o337 
2468 
4598 

6727 
8856 
0983 
3109 
5234 

7358 
9481 
i6o3 
3724 
5843 


775o  7962 

9868Uo8o 

1985 

4ioi 

6216 


833o 
o442 
2554 
4665 
6774 

8883 
0991 
3097 
52o3 

7307 

94ii 
i5i3 
36i5 
5715 
7815 

9913 
201 1 
4107 
6203 
8297 

0390 
2483 
4574 
6664 

8754 


2197 
43r3 
6427 

854i 
o654 
2765 
4876 
6985 

9094 
1201 
33o8 
54i3 
75i8 

9631 
1724 
3825 
5925 
8025 

♦  123 

2220 

4317 

64i2 


4i5o 

63o8 
8456 
o6o3 
2749 

48o4 
7037 
9180 

l322 

3463 

56o2 

7741 
9878 

20l5 

4i5o 

6284 
84i8 
o55o 
2681 
48ii 

6940 
9068 
1 195 
3321 
5446 

7570 
9693 
i8i5 
3936 
6o55 

8174 
0292 
2408 
4524 
6639 

8752 
o865 
2976 
5087 
7196 

93o5 
i4i2 
35 1 8 
5624 

7728 


983 1 
1934 
4o35 
6i35 
8235 

o333 
243o 
4526 
6621 


85068716 


0600 
2692 
4783 
6873 
8963 


0809 
2901 
4992 
7002 
9172 


4374 
6523 
8671 
0817 
2963 

5io8 

7252 

3677 

58i6 
7954 
♦093 
2228 
4363 

6498 
86  3 1 
0763 
2894 
5oa4 

7153 
9281 
i4o8 
3534 
5659 

7783 
9905 
2027 
4i48 
6267 

8386 
o5o4 
2620 
4736 
685o 

8964 
1076 
3187 
5298 

7407 

95i5 
1623 
3729 
5834 
7939 


♦042 
2144 
4245 
6345 
8444 

o543 
2640 
4736 
683  r 
8925 

1018 
3iio 
5201 
7291 
9380 


4589 


6737  6952 
8885  9100 


48o3 


io32 
3178 

5322 

7466 
9609 
1750 
3891 

6o3o 
8168 
o3o6 
2442 

4577 

671 1 

8844 
0976 
3i07 
5237 

7366 

9494 
1621 

3746 
5871 

7995 
♦117 
2239 
436o 
6479 

859S 

0715 

2832 

4947 
7061 

9175 

1287 

3398 

55o( 
761 1 

9726 
i833 
3940 
6045 
8149 


0252 

2354 
4455 
6555 
8654 

0752 
2849 
4945 
7o4o 
9134 

1337 

33t9 
54io 
75oo 
9589 


1247 
3392 

5537 
7680 
9823 
1964 
4io5 

6244 
8382 
o5i 
265 

4790 

6924 
9057 
1189 
3320 
545o 

7579 
9707 
1 833 
3959 
6084 

8207 
o33o 
245 1 
4572 
6691 

88  ro 

0927 
3o43 
5i59 

7273 

9386 
1498 
36io 
5720 
7829 

9937 

2o44 
4i5o 
6255 
8359 


5oi8 
7167 
93i5 
i46i 
3607 

575i 
7805 
♦o37 
2178 
4319 

6458 
85o6 
0733 
2869 
5oo4 

7i38 
9271 
1402 
3533 
5663 

7792 
9919 
2o46 

4171 
6296 

8419 
o542 

2663 

47«4 
6903 

9021 
1 139 


5233 
7382 


5448 

7597 


9529  9744 


1676 
3821 

5966 
8109 

025l 

2392 
4532 

6672 
8810 

0947 
3082 
5217 

735 1 

9484 
1616 
3746 
5876 

8004 

♦  l32 
2258 

4384 
65o8 


0754 
2875 
4996 
7ii5 

9233 
i35o 


1891 
4o36 

6180 
8323 
o465 
2606 
4746 

6885 
9023 
1160 
3296 
543 1 

7564 
9697 
1829 
3959 
6089 

8217 
o345 

2471 
4596 
6721 


8632  8844 


0462 
2564 
4665 
6765 
8864 

0962 
3o59 
5i55 
7250 
9344 

1437 
3528 
5619 
7709 
9798 


32553466 
537oi558i 
7484  7696 


9597 
1709 
3821 
5931 
8o4o 

♦  i48 

2255 

436 1 
6466 
8570 

0672 

2774 
4875 
6975 


9809 
1921 
4o32 
6142 
825i 

o358 
2465 

4571 
6676 
8780 

o883 
2985 
5o85 
7185 


9074  9284 


1172 
3269 


1 382 

3478 


5364:5574 
745017669 
9553  9762 


t646 
3738 
5828 
7918 
♦007 


i855 

3947 
6037 
8127 
0216 


0966 
3087 
5208 

7327 

9445 
1 562 
3678 
5793 

7907 

♦020 

2l32 

4243 

6353 
846i 

0569 
2676 
4782 
6887 
8990 

1093 
3195 
5295 
7395 
9494 

1 591 
3688 

5784 
7878 
9973 

2064 
4i56 
6246 
8336 
0425 


0      12      3     4 


5     6      7     8     9 


Diif.  &  Molt. 


I 
2 

3 

4 
5 
6 

7 
8 


2l4 

428 

642 

856 

1070 

1284 

1498 
1712 

1926 


3l5 

43o 
645 
860 
1075 
1290 
i5o5 
1720 
1935 


I 

312 

2 

424 

3 

636 

4 

848 

5 

1060 

6 

1372 

7 

i484 

8 

1696 

9 

1908 

2l3 

426 

639 
853 

io65 
1278 
1 491 
1704 
>9^7 


I 

210 

2 

420 

3 

63o 

4 

84o 

5 

io5o 

6 

1260 

7 

1470 

8 

1680 

9 

1890 

211 
433 
633 

844 
io55 
1366 

1 477 
1688 

1899 


208 
4i6 

309 

4i8 

624 

627 

832 

836 

io4o 

1045 

1248 

1254 

1 456 

1 463 

1664 

1672 

1872 

1881 

Die  &  Mult. 


lyilillll 


tCm 


LOGARITHMS     OF     NUMBERS 


SOSO 
8i 
8a 
83 
84 

85 
86 
87 
88 

^ 

2090 

91 

92 

93 
94 

95 
96 

98 
99 

2100 

01 
02 

o3 

o4' 

o5 

06 
■07 
08 

'09 

21 10 
II 

12 

i3 

i4 

16 

17 
18 

"9 

II  .30 

23 
24 

.27 
28 

a9 

21  3o 
3 1 

32 

33 
34 

35 

37 
38 
39 


012      34         56789 


318  0633 
2721 
4807 
6893 

•  8977 

3i9  1061 
3i43 

5224 
73o5 


'9384  9^9' 


0842 

im 
5oio 

7 10 1 

9186 

1269 

335 1 
5433 
75 1 3 

i2 


io5i 
3i38 
5a24 
7310 


93949602 


320  1 463 

3540 
5617 
7692 

•  9707 

321  i84o 
3913 
5984 

323  01 24 

2193 

4301 

6327 

•  8303 
323  0457 

aSai 
4584 
6645 

♦*  8706 
3240766 

38a5 
4883 

•  8993 

325  io5o 

3io4 

5i57 
7209 

•  9260 

326  i3io 


5407 
7454 

327  i545 
358o 

hjNkJljPlBj| 

76751 

•    0716 

338  1757 

3796 

5834 

787  a 

*  9909 
329  1944 


1671 
3748 
5824 

7900 
9974 

3o48 
4 1 20 
6191 
8262 
o33i 

3400 

4467 
6534 
8599 
0664 

2727 

4790 
685i 
8912 
0972 

3o3o 
5o88 

7145 
9201 
1255 

3309 

5362 

74i4 
9465 
i5i5 

3563 
56ii 

7658 


1477 
3559 
"  141 

7721 
9800 

1878 
3956 
6o33> 
8107 
♦  182 


1260 

5433 

75i8 


i685 
3768 
5849 
7920 
♦008 


2607 
4674 

67406947 
"9012 

1077 


6240 
83 1 5 
0389 

2462 
4534 
6606 

'8676 
0745 

2813 
488i 


8806 
0870 

2934 
4996 
7058 
9118 
1 178 

3236 

5394 
735o 
9406 
1 461 

35i4 

5567 
7619 
9670 


i468 
3556 
564a 

7727 
981 1 

1894 
3976 
6o57 
8i37 
0216 


2086  2294 
4 1 63  4371 


3i4o 

5202 
7264 
9324 
1 384 

'3443 

54 

75. 

9613 

1666 

3720 

5772 
7834 
9875 


1719  1934 


95009705 
1750 

3794 

5837 
7879 
9920 
1961 

4000 

6o38 
8076 
♦  112 
3f48 

39794182 
60126216 


8045 

3300077 

3108 


8348 
0280 

23  [l 


3768 

58i6 
7863 
9909 
1954 

3998 

6o4i 
8o83 
♦  124 
2i65 

4204 
6242 
8379 
o3i6 
235 1 

4386 
6419 
8452 
o483 
25i4 


3973 

60a  I 
8068 

♦ii4 

2i58 

4202 

6i45 
8287 
o328 
2369 

44o8 
6446 
8483 
oSio 
2555 


6447 

8522 

0596 
3669 

4743 

68i3 
8883 
0952 

3020 

5087 

7 1 53 
9210 
1283 

3346 
5408 
7470 
9530 
1589 

3648 

5705 
7762 
9817 
1873 

3925 
5978 
8029 
♦080 
2139 

4178 
6226 
8273 
o3i8 
3363 

4407 
64  5o 
84o2 
o5j3 
2572 

461 3 
665o 
8687 
0723 
2758 


4589 
6622 
8655 
0686 

2717 


4792 
6826 
8858 
0889 
2920 


1677 
3764 

7935 
♦019 

2102 
4i84 
6265 
8345 
0424 

25o2 

4579 

6655 
8730 
0804 

2877 

4949 
7030 

9000 

1 159 

3237 

53^ 

73(X) 
94a5  963 
1489 

3553 
56i5 
7676 
9736  994 


1795 

3854 
591 1 

7967 
♦023 

2077 

4i3o 
6i83 
8234 
0285 
2334 

4383 


1886 
3973 
6059 

8143 
0227 

23lO 

4392 
6473 
8553 
o632 

2709 
4786 
<>86j 
8987 

lOII 

3o84 
5i56 
7227 
9297 

3434 
55oi 

7567 

2 

1696 

3759 
5821 
7882 
2 
2001 


2727 
4808 
6889 
8969 
io47 


8477 
o523 
2567 

4611 
6654 


4o59 
6117 
8173 
0228 
2282 

4336 
6388 
8439 
0490 
25^9 

4588 


643o6635 


8682 

0737 
2772 

481 5 
6858 


86068900 
07370041 


07  J7 
2776 

481 5 
6853 
8890 
0926 
2962 

4996 

7029 

906 

1093 

3i23 


0941 
3980 

5019 
7057 
9004 
ii3o 
3i65 


5199 
7333 
9264 
1296 

3326 


2095 
4i8i 

6267 
8352 
o436 

35i8 

4600 
6681 
8761 
0839 

2917 

4994 

7070 
9145 
1218 

329! 
5363 
7434 
95o4 
1572 

364o 
5707 
7773 
9838 
190a 

3965 
6037 
8088 
#i48 
3207 

4a65 

6322 

8378 

0433 

2488 

4541 

6593 

8644 
0695 

3744 

479a 

684o 
8886 
0982 
3976 

5020 

7062 

9104 
II45 

3i84 

5323 

7261 

1 334 
3369 

5402 
7436 


23o3j25l3 

43904! 

6476 

856o 
0644 


3 1 25 

5202 

7277 
9352 
1426 

3498 
55^0 

7641 
9711 
1779 

3847 
5914 
7980 
♦045 
2108 

4171 
6233 
8294 
o354 
24i3 

4471 
6528 

8584 

0639 

693 

4746 
6798 


4 

8769 
o852 

2935 
5oi6 

097 
9176 
1255 

3333 

5409 
7485 


88499055 


0900 
2949 

4997 

7044 


9468967 


1499 
3529 


i63 

3706 

5777 
7848 

9917 
1986 

4o54 
6121 
8186 
oaSi 
23i5 

4377 
6439 
85oo 
o56o 
2619 

4677 
6734 
8789 
0844 
2898 

4951 
7oo3 


II 

3i8i 

5224 
7267 
9308 
1 349 
3388 

5437 
7465 
9501 
i537 
3572 

56o6 
7639 


1702 
3732 


DiC 


iio5 
3i54 

5202 

7249 
9395 
i34i 
3385 

5438 

7471 
95i3 
i553 
3593 

563i 

7668 
9705 
1741 
3775 

5809 
7843 
9874 
1905 
3935 


01234        56789 


ao8 


207 


306 


205 


304 


303 


DiC 


Diff.  &  Malt. 


I 

a 
3 

4 
5 
6 

I 


I 
a 
3 
4 
5 
6 

7 
8 

9 


I 
a 
3 
4 
5 
6 

7 
8 

9 


I 
2 
3 

4 
5 
6 

7 
8 

9 


I 

a 
3 
4 
5 
6 

7 
8 

I 
2 
3 

4 
5 
6 

7 
8 


309 

418 

637 

836 

1045 

1354 

i463 

167a 

1881 


308 
4i6 

634 

83a 

io4o 

1248 

i456 

1664 
1872 


207 
4i4 

631 

828 
io35 
ia4a 
1449 
i656 
i863 


206 

4ia 

618 

824 

io3o 

1236 

i44a 

i648 

i854 


2o5 

4io 

6i5 

820 

ioa5 

ia3o 

1435 

1640 

1845 


204 
408 
612 
816 
1020 

1324 
1428 

1 633 
i836 


3o3 

406 

609 

8l3 

ioi5 
1218 
1421 
1624 

1827 


IMCatMnlt. 


LOGARITHMS     OF     NUMBERS 


23 


Num. 

2140 

4i 
42 

e 

44 

45 

46 

47 
48 

49 

21  5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

21  60 

61 
62 

63 
64 

65 
66 

67 
68 

69 

21  70 

7» 
72 

73 

74 

75 
76 

77 
78 

79 

21  80 
81 
83 
83 


01234        56789 


330  4 1 38 
6167 

#  8195 
33f  0222 

2348 

4273 
6297 

*  83 20 

332  o343 
2364 

4385 

64o4 

*  84a3 

333  o44o 
2457 

4473 
6488 

•  85oi 

334o5i4 
3526 

4538 
6548 

#  8557 

335  o565 
2573 

457? 

6585 

»  8589 

336  0593 
3596 

4597 
6598 

•  8598 

337  059 
2595 

4593 
6589 

#  8584 

338  0579 
2572 

4565 

6557 

«  8547 

339  o537 


4341  4544 
6370  6572 


8397 
0424 
2450 


4475  4678 


65oo 
8523 
o545 
2566 

4587 
6606 
8624 
0642 
2659 

4674 
6680 

8703 
0716 
2738 


4739  494' 


84 
85 

2526 
45i4 

m 

65o2 

87 

•  8488 

88 

340  0473 

89 

2458 

21  90 

4441 

91 

6434 

92 

#  84o5 

93 

341  o386 

94 

2366 

?^ 

4345 

96 

6323 

97 

«  83oi 

98 

342  0277 

99 

2252 

6749 

8768 

0766 

2773 


4780 
6785 

8790 

0793 
2796 

4797 

6798 

8798 
0797 
2795 

4792 

6788 
8784 

0778 

2772 

4764 
6756 

8746 

0736 
2725 

47i3 
6700 
8686 
0672 
2656 

4639 
6622 
8604 
o584 
2564 

4543 
6521 
8498 

0474 
245o 


8600 
0627 
2653 


6702 

8725 

0747 
2768 

4789 
6808 
8826 
0844 
3860 

4876 
6890 


o 
6960 

8959 

0967 

2974 

4980 
6986 

8990 

0993 
2996 

4998 
6998 

8998 

0997 

2995 

6988 
8983 

0978 

2971 

4963 
6955 
8946 

0935 

2924 
4912 

8885 
0870 
2854 


4747 
6775 
88o3 
o83o 
2855 

4880 
6904 
8927 
0949 
2970 

4991 
7010 
9028 
ro45 
3o62 

5077 
7092 


89649105 

0917 

3939 


1118 
3i3o 


5i4i 
7i5i 

?:^ 

3175 

5i8i 
7186 
9190 
1 194 
3196 

5198 
7198 
9198 
1 197 
3195 

5i 

71 

9183 
1 177 
3170 


4838 
6820 
8802 
0782 
2762 

474 1 
6719 
8696 
0672 
2647 


5x63 
7i54 
9145 
ii34 
3i23 

5iii 
7098 
9084 
1069 
3o53 


5o36 
7018 
9000 
0980 
2960 

4939 
6917 
8894 
0870 
2845 


4949 
6978 
9006 

I032 

3o58 

5o83 
7107 
9129 
ii5i 
3172 

5193 
7212 
9230 
1347 
3263 

5279 

7293 
9307 
i3i9 
333i 

5342 
735i 
9360 
i368 
3375 

538i 
7386 
9391 
1394 
3396 

5398 
7398 
9398 
1397 
3394 

5391 
7387 
9382 
1376 
3369 

5362 
7353 

9344 
1 333 

3322 

5309 

7296 

9282 
1267 
325i 

5234 
7217 
9198 
1178 
3i58 

5i37 
7114 
9091 
T067 
3o42 


5i52 
7181 
9208 
1235 
3261 

5285 
7309 
9332 
1 354 
3374 

5394 
74i4 
9432 

1449 
3465 

5480 
7495 
9508 

l52I 

3532 

5543 
7552 
9561 
1569 
3576 

5582 
7587 
9591 
1594 
3597 

5598 
7598 
9598 
1596 
3594 

5591 
7587 
9582 
1576 
3569 

556i 
7552 
9543 
1 532 
3520 


55o8 
7495 
9481 
1 466 
3449 

5433 
74i5 
9896 
1376 
3356 

5334 
73i2 
9289 
1265 
3240 


5355 
7384 
941 1 
1437 
3463 

5488 
75ii 
9534 
1 556 

3577 

5596 
7615 
9633 
i65o 
3667 

5682 
7696 
9709 
1722 
3733 

5744 

7753 
9762 
1770 
3777 

5782 

7787 
9791 
1795 

3797 

5798 
7798 
9798 
1796 
3794 

57QI 
7786 
9781 
1775 
3768 


5558 
7586 
9614 
i64o 
3666 

5690 

7714 
9736 
1758 


5760 
775i 
974a 
1731 
3719 


3779  398 

5798 
7817 
9835 
i852 
3868 

5883 
7897 
991 1 
1923 
3934 

5945 
7954 
9963 
1970 

3977 

5983 
7988 
9992 
1995 
3997 

5998 

7998 
9998 

1996 

3994 


5761 
7789 
9816 
1843 
3868 

5892 
7916 
9988 
i960 


6000 
8019 
♦037 
2o54 
4070 

6o85 
8099 

♦  112 

2124 

4i35 

6x46 
8x55 
♦x64 
2171 

4178 

61 83 
8186 

♦  192 
2195 
4x97 


5990 
7986 
9981 

1974 
3967 

5959 
7950 
9940 
1930 
3918 

5oo6 

7892 

9679  9878 


5707 
7693 


1664 
3648 

563i 
76x3 
9594 
1 574 
3554 

5532 
75xo 
9486 
1462 
3437 


6198 
8198 

♦  198 
2x96 
4x93 

6x 
81 

♦  180 

3174 
4i66 

61 58 

8x49 
♦139 
2x29 
4xx7 

6104 
8091 
♦076 
2061 
4045 

6027 


1862 
3846 

5829 
78XX 
9792 

1772 
3752 

5780 
7708 
9684 
x66o 
363513832 


5964 
7992 
♦019 
2045 
4070 

6095 
8118 

♦i4i 
2x62 
41 83 

6202 
8221 
0239 

2255 

4271 
6286 

83oo 
o3i3 

2325 

4336 

6347 
8356 

o364 
2372 
4378 

6384 
8389 
0892 
2395 
4397 

6898 
8398 
0897 
2896 
4393 

6889 
8385 
0370 
2873 
4366 

6358 
8848 
o338 
2827 
43x6 

68o3 
8289 
0275 
2259 
4243 

6226 


Diff. 


9990 

1970 
8950 


80098207 


♦x88 
2x68 
4x47 


5928)6x26 
79058x08 
9882 


i857 


♦070 

2o55 
4029 


Num. 


0   1 


3  4 


6  7  8  9 


202 


201 


aoo 


199 


198 


DifT.  A:  Muh. 


I 
2 

3 

4 
5 
6 

7 
8 

9 


I 

2 
3 

4 
5 
6 

7 
8 

9 


I 
3 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 


Diff. 


I 
2 

8 

4 
5 
6 

7 
8 


I 
2 

3 

4 

5 
6 

7 
8 


2o3 

406 

609 

8l3 

ioi5 

I3l8 

l42I 

1624 

1827 


202 

4o4 
606 
808 

lOXO 
I2I3 

i4i4 
x6i6 
1818 


201 

4o2 

6o3 

804 

joo5 

1206 

1407 

1608 

1809 


200 
4oo 
600 
800 

JOOO 

1200 

i4oo 
1600 
1800 


^99 
398 

597 
796 
995 

1194 
1398 
1592 
X791 


198 
396 

594 
792 


III 
i386 

1 584 
1783 


197 

394 

591 

788 

985 

1183 

1879 

1576 

1773 


Diff.  &  Mult 


LOOAEITHM'S  O'F  NUMBERS. 


Nun. 


0 


4 


5  6  7 


342  4227 
6200 

8173 

34301.45 

2116 

4o8'6 
'6o55 
8o3>3 


3q23 

5887 
785 1 

•  9814 
345  1776 

3737 

,„  »7 

•  '961 5 
3461573 

353o 
5486^ 
7441 

•  9395 

347  1 348 

33oo 

53  5  2 
7202 

•  91 5a 

348  iioi 

3o4o 
4996 
6942 

•  8887 

349  o832 

3775 
47*8 

IJOOO 

•  8601 

35oo54i 

a48o 
4419 
6356 

•  8293 
35 1  0239 


4424 

6398 
8370 
0342 
23 1 3 

4283 

6252 
8220 
♦  187 

21 54 

4II9 

6084 
8048 

♦010 
1979 


4623 

esoS 

8568 
0539 

25lO 


48191 5oi6 

6792 
8765  , 
0736  0933 
2707  2904 

448046774874 
644966466843 
8417  86i4  8810 
o384o58i0777 
235o  2547  ^743 

43 16  45 1 3 

628016477 

8344 

0207 
3168 


4199 

6090 
8049 

♦007 
1964 


3725 

■JPOO 1 

7636 

9590 
1 543 


3495 

iwFiii|[Mi||  jT 

7307 
■9347 
1296 

3343 
5190 

7i36 
9083 
1026 

3970 
4912 

6554 
8795 
0735 

3674 
4612 
6550' 

84868680 
0432  0616 

255o 

64i7 
8349 
0281 


3691 
5642 
7592 
9542 
1490 

3438 
5385 

733 1 
9276 

1230 

3i64 
5 1 06 

7048 


0929 


8440 
o4o3 
2365 

6285 
8245 

0203 

2160 

4II7 

6073 
8027 
9981 
1934 

3886 
5837 

7787 
9737 
i685 


470Q 
6673 
8636 

4523 

648 1 
8440 
0% 
3356 

43i2 

6268 
8232 
♦176 
3129 


9471 
i4i5 

3358 
53oi 

7342 


89899183 


II23 


353  i465 

3391 

53i6 

7239 

•  9162 


2018 

3q48 

5877 
7805 
9732 

i658 

3583 
55o8 
7433 
9355 


3838 

5774 
7730 
9665 
1609 

3552 
54q5 

74» 

9377 
i3i7 


sJ'VJ'vJ'jB  %M Jt%JxJ 


33II 

4i4i 
6070 

7997 

9924 

i85i 

3776 
5700 
7624 
9547 


5ooo 
6937 

0874 
0809 

3744 
4678 
6611 
8543 
0474 

34o4 
4334 
6263 
8190 
♦117 

3o43 

3900 
5893 
7816 


5iq4 
7i3i 
9067 
ioo3 

3937 
4871 
6804 
8736 
0667 

3597 

4537 
6455 
8383 
o3io 

3336 

4i6i 

6o85 
8009 


97391993 


915993569554 
ii3i  i338  1 535 
3 1 01  3208  3495 


5368 
7336 


45o8 
6463 
84i8 
0371 
3334 


58o6 

7779 
9751 

1723 

3693 


5464 
7433 
93049401 
i367 
3333 

5298 
7262 
9225 
1 188 
3i49 


6oo3 
7976 
9948 
1919 
3889 

5858 

7827 


4914 
6873 
8832 
0790 

3747 

4703 
6659 
86i3 
0567 
519 

■76  447  ^ 


5iio 
7069 
9038 
0986 
3943 


4022 
5960 

7915 
9860 
i8o4 

3747 
5689 
763o  7825 


4217 
6164 
8109 
♦o54 
1998 


5495 
7459 
9423 
i384 
3345 

53o6 
7265 
9324 
1183 
3i38 


9765 
1705 

3643 
558 1 
7518 


9571 
i5ii 

3449 
5387 
7325 
9261 
1196 

3i3i 
5o64 
6997 

0860 

3790 

4720 

66486841 
857618768 
05020695 

3438*362 1 
4353|4546 

6378,6470 
8201 18393 
♦i23o3i6 


4666 

6617 
8567 
o5i6 
2464 

44i9 
6358 
83o4 
0248 
2193 

4i35 
6077 
8019 
9959 
1898 


2910 

4861 
6812 
8763 
crjii 
3659 


3983 

4912 


5390 

7245 

?;?? 

3io5 

5o56 
7007 
8957 
0906 
3854 


46064801 


6553 
8498 
0443 

2387 


3837 

5775 

7713 

94549648 

1390  1 583 

3334 

5258 

7190 
913a 

io53 


35i7 
545! 
7383 
93i5 
1346 

3176 
5io5 
7034 
8061 
0888 

28i3 

4738 
6662 
8586 
o5o8 


4o3i 
5960 
70o5 

9841 

1777 

3711 
5644 

7577 
9508 
1439 


7326 
9154 
1080 

3oo6 
4931 
6855 
8778 
0700 


6747 

0637 
358i 

4534 
6466 
8407 
o347 
3286 

4325 

6163 
8099 
♦o35 
1970 

3904 

5837 

7770 
9701 
i63a 

3562 

5491 

7419 
9346 
1373 

3198 
5i33 

7047 
8070 
0893 


197 


196 


Dim  &  Malt. 


195 


194 


193 


Num. 


0      1234        56789 


1 1 88 
i386 
1 584 

1782 


ms. 


195 


DidEMnh. 


LOGARITHMS  OF  NUMBERS 


Num. 

2260 

61 
63 
63 

64 

65 

66 

67 

68 

69 

22  70 

71 
72 

73 

74 

75 

76 

77 
78 

79 

22  80 
8[ 
83 
83 
84 

85 

86 

87 
88 
89 

2390 
91 

9? 

93 

94 

96 

9Z 
98 

99 

23  00 
01 
02 
o3 
04 

o5 
06 
07 
08 
09 

23  10 
II 
12 
i3 
14 

i5 
16 

17 
18 

'9 


0   1  2 


5  6  7  8  9 


354  1084 
3oo6 
4926 
6846 

•  8764 

3550682 

45?? 

643 1 

♦  8345 

356  0259 
2171 
4o83 
5994 
7965 


1277  1469 
31983390 
5ii853io 

7o37|7229 
89569148 

0874  1066 
2791  2982 
4707  4098 
66226813 
85368728 


#  9814 

357  1723 
3630 
5537 
7443 

»  9348 

358  1253 
3i56 
5o59 
6961 

♦  8862 

359  076a 
2662 
456o 
6458 


o45o 
2363 

4274 
6i85 


♦oo5 
1913 
3821 
5728 
7634 

9539 
1443 
3347 
5249 
7i5i 

9052 
0952 

2852 

475o 
6648 


0641 
2554 
4466 
6376 


8096  8287 


#  8355 
36oo25i 

2i46 
4o4i 
5934 

7827 

#  9719 

36i  1610 

35oo 
5390 

7278 

#  9166 
362  io53 


8544 
o44o 
2336 
423o 
6133 


0196 
2io4 

40f2 

5918 

7824 

9729 
i634 
3537 
5440 
7341 

9242 
1142 
3o4i 
4940 
6837 

8734 
o63o 

2525 

44i« 

63l; 


o387 
2295 
4202 
6109 
801 5 

9920 
1824 

3727 
563o 
753i 

9432 
i332 
323 1 
5i3o 

7037 


0578 
2486 
4393 
63oo 
83o5 


0664 
2546 


6709 
#  8593 

363  0476 
2358 
4239 

61 30 
7090 

•  9878 

364  1756 
3634 

55io 
7386 

*  92609448 

365  II 34! i 322 


8016 
9908 
1799  I 
3689 
5579 

7467 
9355 
1242 
3i28 
5oi3 


8ao5 


8024 
0820 
2715 
4609 
65o2 

8395 
0286 

2177 
4067 
5956 

7845 
9732 
1619 
35o5 
5390 


6898  7086  7375 


8584 
0475 
2366 
4256 
6145 

8o34 
9021 
1808 
3694 
5579 


8781  89709158 

io4i 
2933 
4804 


44374615 

63o8 
8187 
♦066 

1944 

3o3i  40094 


_3oo7!3i95|3382 


6872 
8751 
o63o 
25o7 
4384 

6260 
8i36 
♦010 
1884 

3757 


i832 

3749 

5664 
7579 
9493 

i4o6 
3319 
523o 
7i4i 
8859  9o5o 

0959 
2867 

4775 
6681 
8586 

0491 
2395 
4298 
6200 
8102 


1242912621  2814 
4350J4542  4734 
6270  6462  6654 
8i89'838i|8572 
♦10702990490 


2024 
3940 


2216 
4i32 


5856  6o48 


7771 
9685 

1598 
35io 
5421 
7332 
9241 


♦002 


8773 
0664 
2555 
4445 
6334 


190 
38o 
5699 
7596 

r^ 

3283 

5i77 
7070 

8962 
o854 
:^744 
4634 
6523 


0682 
2585 
4488 
6391 
8292 

0192 
2092 

5889 
7786 


7962 
9876 

1789 
3701 
56x2 
7523 
9432 

i34i 
3249 
5i56 
7062 
8967 


2  2 


2407 
4324 
6239 
8i54 
♦067 

1980 
3892 
58o3 

7714 
9633 

i533 
3440 

5347 
7253 
91 58 

0872  1063 

2776 
4679 
658 1 
8482 


o382 
2282 
4i8i 
6078 
7976 


765 1 
9535 
1417 

I'M 

7060 
8939 
0817 
2695 
4572 

6448 
8323 
0197 
3071 
3944 


84ii 
0298 
2i85 
4071 
5956 

7840 
9723 
i6o5 
3487 
5368 

7348 


9127 

ioo5 
2883 


6635 
85ii 
o385 

2258 

4i3i 


8600 

0487 
2374 
4259 
6144 

8028 
991 1 

'794 
3675 
5556 


9872 

1767 
3662 
5555 
7448 


6771 
8672 

0572 

2472 
4370 
6268 
8i65 

♦061 

ro57 
385 1 
5745 
7638 

9530 

1421 
33ii 
520 1 
7090 

8077 
o865 
2751 
4636 
6521 


7436 
93 1 5 
1 193 
3070 
4759  4947 


6823 
8698 

0572 
2446 
43i8 


8216 
♦009 
1982 
3863 
5744 

7624 
95o3 
i38i 
3258 
5i35 

7010 
8885 
0760 
2633 
45o5 


Num. 


7812 
9690 
1569 
3446 

5322 

7198 

9073 
0947 
2820 

4693 


012   3  4    5   6   7  8  9 


192 


191 


190 


189 


188 


DifT       DiflT.&Mult. 


Die 


I 

J87 

2 

374 

3 

56i 

4 

748 

5 

935 

6 

1 1 23 

7 

1 309 

8 

1496 

9 

i683 

, 


■i( 


Diir.  Sc  Molt. 


I 


m 


LOGARITHMS  OF  NUMBBES. 


Nniiia 

ai 

aa 
a3 
.a4 

9.5 

26 
27 
28 
29 

3i 

32 

33 

34 

35 
36 

3? 
38' 
39 

2340 
42 

44 

46 

47 

49 

a3  5o 

5 1 

it 

53 

54 

55 
56 

57 
58 
59 

a36o 
61 

63 
64 

65 
66 
67 
68 
69 

a3  70 
71 
72 
73 
74 

75 
76 

T7 
78 

79 


0      12      3     4 


5     6     7     8     9 


365  48BO 

675.1 

•  8622 

3660492 


4a3o 


aSdo 

4728 

6587 

«  8445 

3690302 

2159 

.4014 
586o 

77a«5 


5067 

0679 
548 

4416 
6284 
8i5o 
♦016 
1881 

3746 
5609 

7472 

9334 
1 195 

3o55 
4914 
6773 
863i 
o488 

7344 
4200 

6o54 
7908 


9576976 


370 1428 

3280 

5i3i 

6981 

•  883o 

3710679 
2526 

4373 

6211 

8o6i 

• 

372  175. 
35o6 

5438 
7279 


•  9120 
3730960 

271 

46j7 

6475 

83ii 

3740147 
1983 
38i7 
565 1 

7483 

•  9316 

375  1 1 47 
2077 
4807 

6636 

•  8464 

376  0292 
21 19 
3944 


2735 

46o3 
6471 
8337 

0203 

ao68 


19.57 
3780 
562  a 
7464 

93o4 
ii44 
ao83 
21 
6658 


1J7  '4«2 


84q5 
o33i 
2166 
4000 
5834 

7667 

9499 
i33o 
3i6o 
4990 

6819 

8647 
0475 
23oi 
4127 


5441 
73 1 3 
9183 
io53 
292  a 

4t 
66^7 

8524 
0389 

2254 


3932 

5795 
76;  ' 
95ao 
i38i 


95598 

158  784 


3241 
5ioo 
6959 
8817 
0674 

253t> 
4385 
6a4o 


8094  8279  8464 


9947 

55oi 
735i 
9200 


i6i4 

.<5'4o3 

53 1 6 

7166 
9015 

o863 
271 1 
4558 
64o4 
8a49  8434 

0278 

2123 


io4B 
2896 

474a 
6588 


7040 

9488 

1 328 

3167 
5oo5 
684a 

8679 
o5i5 
235o 
4i84 
6017 

785o 
9682 
i5i3 
3343 
5173 

7002 
883o 


90407 

67  684 


4h8 
2 

7844 
9706 
1567 

3427 
5286 

7145 

9002 

OOnJSf 

27l5 
4571 

64a5 


5629 
7500 
9370 
1240 
3109 

4977 
44 
8710 
0576 
2441 

43o5 
6168 
8o3o 
9892 
1733 

5472 
733<» 
9188 
1045 

2901 
4756 
661 1 


1 32 

1084 

5686 
7536 
9385 

1233 
3o8o 
4927 

6773 
8618 

0462 
23o6 

4149 
5901 

783a 

9672 
i5ia 
335o 
5189 
7020 

8862 
0698 
25j3 

4367 
6201 

8o33 
9865 
1696 
3526 
5356 

7i85 
9013 


2484 
43 10 


0657  o84o 


2666 
449a 


o3i7 

2169 
4020 

5871 

7721 
9570 

i4i8 
3265 

5lI2 

6957 
8802 

0647 
2490 
4333 

6170 
8016 

9856 

1696 
3534 

7210 
9046 

0882 

2716 

455 1 

6384 

8216 

♦o48 
1879 
3709 
5539 

7368 
9195 
1 023 

2849 

4675 


58i<0ji6oo3 
76877874 


9557 

1427 
3296 

5i63 
7o3r 
8897 
070a 
2627 

4491 

0354 
8217 
♦078 
1939 

37 
56; 
75i6 


9744 
i6i4 
3482 

7217 
9083 
0949 
2814 


123o 

3o86 
4942 
6796 
86D0 
o5o2 

2354 
4ao6 
6o56 

7906 
9754 

i6o3 
345o 
5296 

7i4a 
8987 

o83i 

2674 
4517 
6359 
8200 

♦o4o 
1879 
3718 

7393 

9230 
io65 
2900 

4734 
6567 

84oo 
023 1 
2062 
3892 
5722 

755o 
9378 

I205 

3o32 
4857 


6190 
8001 
9931 
1801 
3669 

5537 

74o4 
9370 
ii35 
3ooo 


4864 
654o  6727 


4677 

84o3 
0264 

2125 


3985 

5844 

7702 


i4i< 

3272 
5i27 
6981 
8835 
0688 

2540 
4391 
6241 
8091 

99^9 

1787 
3635 
5481 
7327 
9171 

toi5 

2859 

4701 

6543 
8384 

0224 
ao63 
390a 

5740 
7577 

94i3 
]a49 

3o83 
4917 


6377(6564 


8248 
♦118 
1087 


85898775 


5724 
7591 
9457 

l322 
31863373 

5o5o 
6913 


o45b 
23  ti 

4l7l 

6o3o 

7888 
9745 
1602 

3458 
53i3 
7167 
9020 
0873 

2725 

4576 
6426 

8275 
♦124 

197 

si? 

75ii 
9356 

1200 

3o43 
4885 
6727 
8568 

0408 
2247 
4086 
5924 
7761 


1 4 

3267 

5ioi 


67506934 

8583  8766 
04140598 
224512428 
407514258 
5905  6088 

7733 
9561 
1 388 
32i4 
5o4o 


3856  4043 


8435 
o3u5 
2174 


5910 

7777 
9643 
i5o8 


o636 
2497 

4357 
6215 
8074 
9931 

1787 

3643 
5498 
7352 
9205  939 
io58 


454a 
6401 
8259 
♦117 
1973 


2910 

4761 
6611 
846o 
o3o9 

ai57 
4oo4 

7696 
9540 

1 384 
3227 
5070 
6911 
8752 

059a 
a43i 

4270 
6107 
7944 

9780 
1616 
345o 
5284 
7117 


7916 

9744 
1 571 
3397 

5222 


0781 
261  I 

444i 
6270 

8099 
9926 
1753 
3570 

54o5 


3829 
5683 
7538 
I 
1243 


3095 

4946 
6796 
8645 
0494 

2342 
4189 
6o35 
7880 
9725 

t569 
34 1  a 
5254 
7005 
8936 

0776 
2615 
4453 
6291 
8128 

9964 

3634 
5467 
7300 


8949  9T  3a 


0964 
2794 
4624 
6453 

8282 

1936 

3762 
5587 


DiC 


0      1234        56789 


187 


186 


i85 


i84 


i83 


Dim 


DiO*  li.  Mult. 


I 
a 
3 

4 
5 
6 

7 
8 


I 
a 
3 

4 
5 
6 

7 
8 

9 


I 
a 
3 

4 
5 
6 

7 
8 

9 


I 
2 

3 

4 
5 
6 

7 
8 

9 


I 

2 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 


188 

376 

564 

752 

940 

1 1 28 

1 3 16 

i5o4 

1692 


186 

372 
558 

744 

930 

1 1 16 

i3o2 

1 488 
1674 


i85 

370 

555 

740 

925 

mo 

1295 

1480 

iG65 


i84 

368 

552 

736 

920 

iio4 

1288 

1472 

i656 


i83 
366 

549 

732 

915 
1098 
1281 
«464 
1 647 


Biir.  Sl  Molt. 


LOGARITHMS     OF     NUMBERS. 


27 


Num. 

2380 

81 
82 
83 
84 

85 

86 

87 
88 
89 

2390 
91 

9? 
93 

94 

95 
96 
97 
98 
99 

2400 
01 
02 
o3 
04 

o5 
06 

07 
08 
09 

24  10 
II 
12 
i3 
14 

i5 
16 

17 
18 

»9 

a42o 
21 
22 
a3 

24 

a5 
a6 

27 
a8 
39 

a43o 
3i 
3a 
33 
34 

35 
36 

37 
38 
39 


01234         56789 


Num. 


376  5770 

7594 
*   9418 

377  1 240 
3o63 


4884 
6704 
*   85348706 
378034305  2  5 
2161  2343 


3979 

5796 

7612 

«   9427 

379  i24r 

3o55 
4868 
6680 

•  8493 

380  o3o2 

2112 

3922 

5730 
7538 

#  9345 


5952 
7776 
9600 
1423 
3245 

5o66 
6886 


38i  ii5i 
2956 
4761 
6565 
8368 

382  0170 
1972 

3773 
5573 

7373 

•  9'f7i 
3830969 

2767 
4563 
6359 

81 54 

*  9948 
384  1741 

3534 
5326 


4i6i 
5977 

7793 
9608 
1423 

3237 
5o49 
6862 
8673 
o484 


6i35 
7959 
9782 
i6o5 
3427 

5248 
7068 
8888 

0707 

2525 

4342 
61 59 

7975 
9790 

i6o4 

3418 
523i 
7043 
8854 
o665 


7117 

#  8908 
3850698 

2487 
4275 

6o63 
785o 

#  9636 

386  142 1 
3206 

4990 
6773 

#  8555 

387  0337 
2118 


4l02 

59II 

7718 

9525 

i33i 

3i37 
4941 

6745 
8548 

o35i 

2l52 
3953 

5753 
7553 

9351 
1 149 
2946 
4743 
6538 

8333 
♦127 
1921 
3713 
55o5 


2293  2474 


7207 
9087 
0877 
2666 
4454 

6241 
8028 

9814 
1600 

3384 

5i68 
6951 
8733 
o5i5 
2296 


4283 
6092 
7899 
9706 

l5l2 

33 1 7 

5l22 

6926 

8739 

o53i 
a332 

4i33 
5933 

7732 


63i7 
8i4i 
9965 

1787 
3609 

543o 
735o 
9070 
0889 

2707 

4524 
634 1 
8i56 

9971 
1786 

3599 
54i2 
7224 
9035 
o846 

2655 

4464 
6272 
8080 

9887 


9531 
1329 
3i26 
4922 
6718 

85i3 
o3o7 
2100 
3893 
5684 


1693 
3498 
53o2 
7106 
8909 

071 1 

25l2 

43 13 
6ii3 


6499 
8333 

♦i47 
1969 
3791 

56i2 
7432 
9252 
1071 
2889 

4706 

6522 

8338 
♦i53 
1967 

3780 
5593 
74o5 
9216 
1027 

2836 
4645 
6453 
8261 

♦067 


1873 
3678 
5483 
7286 
9089 

0891 
2693 
4493 
6293 


79128092 

9711 
1 509 
33o6 

5l02 

6897 


8692 
0486 
2279 

4072 
5864 

7476  7655 


9266 
io56 
2845 
4633 

6420 
8207 
9993 

1778 
3563 

5346 
7129 
8912 


9445 
1235 
3o23 
4812 

6599 
8386 
♦171 
1957 
3741 

5525 
73o8 
9090 


06930871 
2474 


I 
1688 
3485 
5281 

7077 

8871 
o665 
459 
425i 
6043 

7834 
9624 
i4i3 
3202 
4990 

6778 
8564 
o35o 
2i35 
3919 

5703 
7486 
9268 
1049 
2652I2830 


6682 
85o6 
0329 

2 1 52 

3973 

5794 
7614 
9434 

1252 
3070 

4887 
6704 

85i9 
o334 
2i48 

3962 

5774 
7586 
9397 
1208 


686417047 
86888871 


3oi7 
4826 
6634 
844 1 
0248 


o5ii 
2334 
4i55 

5976 
7796 
9616 
1434 

3252 

5069 
6885 
8701 
o5i6 
233o 

4i43 
5956 
7767 
9578 
1389 


3198 
5oo7 
68i5 
8622 
0428 


2o54  2234  241 5 
3859  4o39  4220 
5663  5843  6024 

7467  7647  7827 
9269  9450  9630 


0694 
25i6 
4338 

61 58 
7978 
9798 
1616 
3434 

525i 
7067 
8882 
0697 

25ll 

4324 
61 37 
7948 
9759 

1570 

3379 

5i88 
6995 
88o3 
0609 


IO7I  1252 

2873  3o53 


4673 
6473 
8272 

♦070 
1868 
3665 
5461 
7256 

9o5i 
0845 
2638 
443o 
6223 

8oi3 
9803 
1592 
338 1 
5169 


4853 
6653 
8452 

02  5o 
2o48 

3844 
564o 
7436 

9230 
1024 

2817 


6956 
8743 
0528 

23x4 
4098 

588i 
7664 
9446 
1228 
3oo8 


6401 

8192 
9982 

1-771 
356o 
5348 


i432 
3233 
5o33 
6833 
8632 

o43o 
2227 
4024 
5820 
7615 

9410 

I203 

2996 


9580 

1 383 

3176 
4609  4789  4968 


658o 

8371 
♦161 
T950 
3739 

5527 

73i4 
9100 
0886 
2670 
4455 

60606238 


7i35 
8921 
0707 
2492 
4276 


7229 
9053 
0876 
2698 
4520 

634o 
8160 

9979 

1798 

36i6 

5432 
7249 
9064 
0879 
2692 

45o6 
63i8 
8i3o 
9940 
1750 

356o 
5368 

7176 
8983 
0790 

2595 
4400 
6204 
8007 
9810 

1612 
34x3 
52x3 
701 3 
88x2 

06x0 
2407 
4204 
6000 

7795 


74x2 
9235 
io58 
2880 
4702 

6522 

8342 
♦  161 

1980 

3797 

56x4 
743o 
9245 
1060 
2874 

4687 
6499 
83x1 
♦121 
X931 

3741 
5549 
7357 
9x64 
0970 

2776 
458o 
6384 
8x88 
9990 

1792 
3593 
5393 
7193 
8992 

0790 

2587 
4383 
6179 
7974 


3355 

5x47 

6759  6938 


7842 
9624 
x4o6 
3x86 


802  X 
9803 
1 584 
3364 


855o 
o34o 
3129 
3918 
5705 

7492 
9279 
1064 
2849 


4633  48x1 


64x6 
8x09 
9981 
1762 
3542 


8729 
o5i9 
23o8 
4096 
5884 

7671 
9457 
X243 
3027 


6595 

8377 
♦159 
1940 
3720 


01234        56789 


Diff. 


182 


181 


180 


179 


178 


Diff. 


Diff.  A,  Molt. 


I 
2 

3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 

9 


I 
2 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 

9 


i83 

366 

549 
732 

915 

1098 

1 28 1 

i464 

1647 


i8a 

364 

546 

7a8 

910 

1092 

1274 

1456 

i638 


181 

362 
543 

724 
905 
1086 
1267 
i448 
1629 


180 

36o 

540 

720 

900 

1080 

X260 

1 440 

1620 


I 

179 

a 

358 

3 

537 

4 

716 

5 

895 

6 

1074 

7 

1253 

8 

1432 

9 

161 1 

I 

178 

a 

356 

3 

534 

4 

712 

5 

890 

6 

1068 

7 

1246 

8 

1424 

9 

1602 

Diff.  &  Mttlt. 


28 


LOGARITHMS  OP  NUMBERS. 


.Nnm. 
4i 

4:2 

4J 
44 

46 

4? 
4o 
49 

3450 
5 1 

54 

55 

5- 


0123     4        56789 


2 

Ml 


59 

9460 

61 
6a 

64 

65 
66 

67 
66 
69 

a4  to 

<mmyf     jf  ■mm 

7* 
7j 
74 

75 
■76 

77 
70 

79 

a4'B0' 
8t 
83 
S3 
84 

85 
86 

87 
88 

89 

2490 
91 
99 
9J 

95 
96 

97 

99 

lllllHL 


387  3898  4076 

5678 
7457  7634 

•  9935  94 1 2 
.188  101  a  1190 

iS'tSo  9966 
456?  4742 
634o65r7 
8ii4**299 

•  9888  ♦o65 

389  1661  i838 

3433  36 10 

■-SauS  5382 

69757153 

«    8746  8923 

39005150692 

2984  24(X) 

4o52  4228 
5819  5995 
7585  7702 

«  9351  9598 

391  1 1 16  1293 

9880  3o57 
4644  4820 
6407  6583 

81698345 

•  9931  #107 
399  1691  1868 

3459  3628 
5911  5387 

6970  7145 

•  8797  8903 

393  o485  u66o 
3941  9417 
39974172 

5759  5928 
75067089 

•  9960  9435 

394  101 3  1188 

97^15  a94<'> 

45174692 
6968  6443 
80188193 

•  97679949 

395  i5i6  1691 

3264  3439 
Soil  5i86 
6758  6939 

•  85048678 

396  0949  0493 


3t 

5480 

7993 
•   8964 

3970705 
9446 

4i85 


4254 
8566o34 


2168 
3912 
5655 

7397 
9139 

0880 
9690 
4359 


7819 
3i44 


4439 
6a  1 9 

71 


59246098 
766317836 


73a  1 
9079 
o83o 
259a 
4348 

61  o3 
7857 
9611 
1 364 
3ii6 

4867 
6618 
8368 
♦117 
1866 

36i3 
536i 

7107 
8853 
0598 

2349 
4086 
5829 

757 
931 3 

io54 
2794 
4533 
6272 
8010 


i545 

3391 

5097 
6879 
8646 
0490 

2193 
3965 

5736 
75of 
9276 

1046 
2814 
4582 
6349 
8ii5 

9881 
1646 
34  io 
5173 
6936 

8608 
0459 

2290 
5739 

7407 
9255 
101  a 
2768 
4594 

6978 
8o33 
9786 
1539 
3991 

5o42 
(i793 
8543 
0292 
ao4o 

3788 

5535 
7989 
9097 

0779 

25i7 
4260 
6oo3 
7745 
9487 

1998 
9968 

4707 
6446 
8184 


4610 
6389 
8168 
9946 

1793 

3499 

5273 
7o5o 
8894 
0597 

9370 
4149 
5913 
7684 
9453 

I9a3 

2991 

4759 
65aS 
8299 

♦o57 
189a 
3586 
5349 
7119 

8874 
0635 
2396 
4i55 
5914 

7673 
9430 
1 187 

46^9 

6454 
8208 
9961 
1714 
3466 

5a  1 7 
6968 
8718 
0467 
a9i5 

3963 

5710 

7456 
9909 
0947 

9691 
4435 
6177 
7920 
9661 

1 402 
3i49 
4881 
6620 
8358 


4788149(16 


6567 
8346 

♦  193 

1900 

3677 
5452 
7997 
9001 
0774 


9547 
4319 
6090 
7861 
96309807 


1399 

3 1 68 
4935 

6709 
8468 

0934 
1998 
3702 
5596 
7988 

9o5o 
o8ii 

9572 
433 1 
6090 

7849 
9606 

1 363 
3119 
4875 

6699 

8383 
♦  I  37 
1889 
364 1 

5392 
7143 
8893 
0649 
3390 

4j38 

5885 
7631 
9376 

I19I 

2865 
4609 
6352 
8094 
9835 

1576 
33i6 

6794 

853 1 


6745 
8524 
o3oi 

2078 

3854 

74o4 
9178 
0959 


9794 
4496 
6267 
8o38 


1576 

3344 
5i  12 
687 
864 

o4io 

2175 
3939 
5702 
7464 


99969409 


5987 
3748 
4507 
6266 

8024 
9782 
1 53^ 

3203 

68o5 


o3i2 
ao64 
38i6 

5567 
73i8 
9068 
0817 
a  565 

43i9 
6059 
78oD 
9551 
1296 

3o4o 
4783 
6526 
8268 
♦009 

1750 
3490 
5279 
6967 
8705 


5i44 
6923 

8701 

0479 

9256 


4o39 
58o7 
7589 


4909 
5985 
7759 
9356  9533 
i3o6 


1199 

a9oa 

4673 
6444 
8215 

9984 

1753 
35  a  I 
5989 
7o5d 
8891 

0587 
235i 
4ti5 
5878 
7641 


ii63 
9934 
4683 
6449 

8aoo 
9958 

1714 
3470 
5a96 

6980 


85598734 


0487 
9940 
3991 

5749 
7493 
9949 
0991 
9740 

4487 

6234 
7980 


5392 

7101 

8879 

0657 
2433 


3079 

485o 
6621 
8302 

♦  101 

1930 
3698 
5465 
7232 
8998 

0763 
2528 
4291 
6o55 
7817 

9578 
1 339 
3 100 
4859 
6618 

8376 

♦  i33 
1890 
3646 
5401 

7i56 
8909 

0009 

94 1 5 
4«67 

5918 
7668 

9417 
1166 

9914 

4662 
6409 
8i55 


97259000 
1470  1645 

3a i4  3389 
4958|5i32 
6700I6874 
8442|86i6 
oi83;o357 

1924120c 
366413838 

54o3i5577 
7i4i  73i5 
8879'9o53 


55oo 

7279 
9057 
o834 
261 1 

4387 
6162 
7937 
9711 
1484 

3256 

5o98 
6798 
8569 
o338 

2107 
3875 
5642 
7409 
9175 

0940 
2704 
4468 
623 1 
7993 

9755 
i5i5 
3276 
5o35 
6794 

8559 
o3o9 
2060 
3891 

5577 

733 1 
9085 
o838 
9590 
4349 

6093 
7843 
9599 
i34i 
3089 

4837 
6583 
8329 

♦074 
1819 

3563 
53o6 
7049 
8790 
o53i 

aa7a 
4oii 
5750 
7489 
9226 


01234        5     6769 


DiflT. 


IW 


177 


176 


175 


174 


Dur. 


Diir.&  Malt. 


1 

a 
3 

4 
5 
6 

7 
8 


I 
a 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 

9 


I 

a 
3 

4 
5 
6 

7 
8 

9 


178 

356 

534 

712 

890 

1068 

1246 

1424 

1602 


J  77 

354 

53i 

708 

885 

1069 

1939 

i4i6 

1593 


I 

176 

a 

35a 

3 

598 

4 

704 

5 

880 

6 

io56 

7 

ia3a 

8 

i4o8 

9 

i584 

175 

35o 

5a5 

700 

875 

io5o 

laaS 

i4oo 

1575 


174 

348 

522 
696 
870* 

io44 
1218 
1399 
i566 


Diif.  Ml  Mult. 


LOGARITHMS     OF     NUMBERS. 


29 


Num. 

2300 

01 
02 
o3 
o4 

o5 
06 
07 
08 
09 

aS  10 
II 

19 

i3 

j4 

i5 
16 

n 
18 

19 

95  20 

91 
29 
23 

24 

25 

a6 

27 
a8 
29 

a5  3o 
3i 
3a 
33 
34 

35 
36 

37 
38 
39 

a5  4o 
4i 
4^ 

43 
44 

45 
46 

47 
48 

49 

25  5o 
5i 

52 

53 
54 

55 

56 

57 
58 

59 

Nam. 


0      12      3      4 


5     6     7     8     9 


#  9400  9574 
398  ii37  i3ii 

2873  3o47 
4608  4782 
6343  6517 

80778251 

#  981 1  9984 
3991543  1717 

3275  3448 
5007  5i8o 

6737  6010 

*  84678640 
40001960369 

1925  2098 
3653  3825 

538o  5553 

7106  7279 

«  8832  9005 

4oi  0557  0730 

298a  a454 

4oo5  4178 
5728  5901 
745 1  7633 

*  9173  9345 

409  0894  1066 
2614  2786 

4333  45o5 
6o52  6224 
7771  7942 

•  94889660 

403  i2o5  1 377 
2921  3093 
4637  48' 
6352  65 
8066  8237 

#  97809951 

404  1492 1664 
32o5  3376 
4916  5087 
6627  6798 

8337  85o8 

405  0047  0218 
1755  1926 
3464  3634 
5171  534a 

6878 

#  8584 

406  0289 
1994 
3698 

5402  5572 
7io5  7275 

*  88078977 

407  o5o8  0678 
2209  2379 

3909  407 
56o8  577 
7307  7477 

♦  90059175 

408  070310873 


9748 

1 484 
3220 
4956 
6690 

8424 

♦  i57 
1890 
3622 
5353 

7083 
88i3 
0542 
2271 
3998 

5725 
7452 
9177 
0902 
2oa6 

435o 
6073 

7795 
9517 

ia38 

aoSS 

4677 
6396 

8ii4 
9832 

1549 
3265 
4980 
6695 
8409 

♦  ia2 
1 835 

3547 
5258 
6969 

8679 
o388 
2097 
38o5 
55ia 


7049 
875! 
0460 
2i65 


9921 
1 658 
3394 
5129 

6864 

8597 
o33i 
2o63 
3795 
5526 

7256 
8986 
0715 
2443 
4171 

5898 
7624 
9350 
1075 
2799 

4522 
6245 

7967 
9689 

i4io 

3i3o 
4840 
6568 
8286 
♦oo3 

1720 
3436 
5i52 
6866 
858o 

0294 
2006 
3718 
5429 

7140 

885o 
0559 
2268 
3976 
5683 


72197390 
8925  9096 
o63o  0801 
2335  25o6 
3869  4o39  4209 


5742 
7445 

9147 
0848 

2549 


5948 

7647 
9345 
1042 


5913 
7615 
9317 
1018 
2719 


42494419 

"   6118 

7817 

951 5 

laia 


♦095 
i83i 
3567 
53o2 
7037 

8771 
o5o4 

2236 

3968 
5699 

7499 

9159 
0888 
2616 
4344 

6071 

7797 
952a 

1947 

9971 

4695 

6417 
8140 
9861 
1 589 

33oa 

5o9i 
6740 
8458 
0175 

189a 
36o8 
5323 
7o38 
875a 

o465 
9177 
3889 
56oi 
73ii 

9021 
0730 
2439 

4i47 
5854 

7560 
9266 
0971 
2676 
438o 

6o83 
7786 
9487 
1189 
2889 

4589 
6288 

7987 

9684 
i389 


0269 
2oo5 

3741 
5476 

7210 

8944 

0677 
2409 

4i4i 
5872 

7602 
9332 
1061 
2789 
45i6 

6243 

9695 
1420 
3i44 

4867 
6590 
83i2 
♦o33 
1754 

3474 
5193 
6912 
863o 
o347 

2o63 

3779 
5495 
7201 
892, 

o636 
2349 
4o6i 

5772 
7482 

9192 
0901 
2610 
4317 
6025 

773 1 
9437 

Il42 

2846 
455o 

6953 
7956 
9658 
1359 
3o59 

4759 
6458 
81 56 

9854 
i55i 


0442 
2179 

39r4 
5649 

7384 

91 17 
o85o 
2583 

43i4 
6045 

7775 
95o5 
1234 
2962 
4689 

64x6 
8142 
9867 
1592 
33i6 

5o39 
6762 
8484 

0205 

1926 

3646 
5365 
7o83 
8801 
o5i9 

2235 

3951 
5666 
738 1 
9094 

0807 
2520 
4232 
5943 
7653 

9363 
1072 
2780 
4488 
6195 

7902 
9607 

l3l2 

3017 
4721 

6424 
8126 
9828 
1529 
3229 

4929 
6628 
8326 
♦024 
1791 


0 


0616 

2352 

4088 

5823 
7557 

9991 

1024 
2756 

4487 
6218 

7948 
9678 
1 406 
3 1 34 
4862 

6588 

83i4 
♦o4o 
1764 
3488 

5912 
6934 

8656 
o377 
2098 

38i8 

5537 
7355 
8973 
0690 

2407 

4l22 

5838 
7552 
9266 

0979 
3091 
44o3 
61 14 
7824 

9534 
1243 
2951 
4659 
6366 

8072 
9778 
1 483 
3187 
4891 

6594 
8296 
9998 
1699 
3399 

5o. 

67' 
8496 

0194 
1 891 


0790 
2526 
4261 
5996 

773i 

9464 

1 197 
2929 

4660 

6391 

8121 
9851 

1 579 
33o7 

5o35 

6761 
8487 
0212 
1937 
366i 

5384 
7106 
8828 
0549 
2270 

3990 
5709 
7427 
9145 
0862 

9578 
4294 
6001 

772. 
9437 

ii5o 
2862 

4574 
6285 

7995 

9705 
i4i4 

3X22 

483o 
6537 

8243 
9948 
i653 
3358 
5o6i 

6764 
8466 
♦  168 
X869 
3569 

5269 
6968 
8666 
o363 
2060 


0963 
2699 
4435 
6170 
7904 

9637 
1370 
3ioa 
4834 
6564 

8294 
♦02,3 
1752 
3480 
5207 

6934 
8660 
o385 
2109 
3833 

5556 
7279 
9000 
0721 
9442 

4169 
588i 
7599 
9317 
io34 

2750 
4465 
6180 
7895 
9608 

l32I 

3o33 
4745 
6456 
8166 

9876 
1 585 
3293 
5ooo 

6707 

84i3 
♦  119 
1824 
35a8 
523i 

6934 
8637 
o338 
2039 
3739 

5439 

7x37 
8836 
o533 
aa3o 


Diff. 


3      4 


5     6     7     8     9 


173 


172 


171 


170 


Diflf.  &  Malt. 


I 
2 
3 

4 
5 
6 

7 
8 


Diff. 


I 
2 

3 

4 

5 
6 

7 
8 


I 
9 
3 

4 
5 
6 

7 
8 

9 


I 

a 

3 

4 
5 
6 

7 
8 


I 
a 
3 

4 
5 
6 

7 
8 


I 
2 
3 
4 
5 
6 

7 
8 


174 
348 

599 
696 
870 

io44 
1218 
1392 
1 566 


173 
346 
519 

io38 
1211 
1 384 
1 557 


179 

344 

5i6 

688 

860 

io3a 

iao4 

1376 

i548 


171 

349 

5i3 

684 

855 

ioa6 

1197 

i368 

1539 


170 

340 
5io 
680 
85o 

1090 

i36o 
i53o 


5o7 

676 

845 

ioi4 

ii83 

i359 

l591 


Diff.  &  Mait. 


dO' 


LOGARITHMS  OF  NUMBBES. 


Ifuin. 

6i 
6it 
63 
64 

Ol 

67 

4|tf 

69 

a570' 

71 
7a 

73 

74 

7'5 
76 

"JO 

79 

a5  8o 
81 
82 
83 

85 
86 

87 
'88 
89 

35  9O' 

91 

9a 
'93 
q4 

JF"f 

95 
96 

97 
98 

99 

a6oo 

02 
o3 

o4 

o5 

06 
07 
08 
09 

a6io 

SI 

i3 
i4 

i5 

16 
.17 

19 


0      1234        56789 


408  a4oo 
4096 

5791 
7486 

•  9180 

4090874 
256- 
4'i  59 
5950 
7641 

•  9331 

4lO 1021 

2710 

43: 

6085 

7773* 

•  9459 

4ii  ii44 
2829 
45i3 

6197 
7880 

•  9562 

4i2  1344 
2925 

46o5 
§285 

•  9543 
4i3 i3ai 

2998 

,4674 

IJ'HiJJKlJ' 

8025 

•  9700 

4i4  1 374 
3047 

47.9 

»3 


•  9733 
4jS  i4o4 

3073 
4742 
64io 

8077 

•  9744 
4i6  i4io 

3076' 

474 1 


2560J2730 
42654433 
5^1  6i3o 
76567825 
93509519 

ia|3  1212 


2736 
4428 
6119 
7810 

9500 

1190 
2878 
4567 
6254 

7941 
96'i7 
i3i3 
2998 

4682 

6365 
8o48 

973 1 

]4l2 

3093 

4773 

6453 

8i32 

981 

1488 

3i65 
484a 
65 1 8 
8193 

9867 

i54i 
32i4 
4887 


29093078 
46044774 


3a48  3417 


1 382 
3074 

4766' 

6458 


2905 

45o7 
6288 
79798148  83i7 


6469 
8164 
9858 

i55i 
3243 
4935 


96699838 


I  ■Jf^jVJi 

3o47 
4735 


1 527 


♦007 
1696 


6423  659a 


3216  3385 
4904  5073 


81 10 

9796 
1481 
3i66 
485o 

6534 

8217 


6559  6726 
8230  8397 


9901 
1570 

3a4o 
4909 
6577 

8244 
9011 

1577 
3242 
4907 

6571 


64o5 
806918235 

•  9733,9898 
417  1394  1 56o 

3o56322a 

47174883 

63776543 
8o37  8ao3 

•  96969662 
4i8  1 3551 1 52 1 


I 

3a6i 

4^41 
6631 
83oo 

i656 

Sooo 
6685 
836o 
♦a35 

1708 
338 1 
5o54 


♦068 

1737 
3407 
5075 
6743 

84n 

♦077 

1743 
3409 

5074 

6738 
84oi 
«o64 

1726 
3388 

5o49 


836o 
♦028 
1687 


35oi 

5.177 
6853 
85a8 
0202 

1876 
3549 

5221 


6760 

8447 
♦  i33 
1818 

5187 

6870 
8553 
0235 

3597 


8278 

i65o 

5oi9 

6702 
8385 
♦067 
1748 
3439 

5109 
6789  ( 
8468  f 
♦i46o3i4 
1824 


5277 
57 
i36 


0235 
1904 

3574 
5a42 
6910 

8577 

0244 
1910 
3575 
5a4o 

6904 

023l 

1893 

3554 

52 1 5 


67096875 


8535 
oio4 
i853 


1991 

3668 
5345 

7020' 

8695 

o3o9 

2043 
3716 
5388 
7060 
8731 

o4oa 
3071 

3741 
5409 

7077 

8744 
o4ii 

3077 
3743 
5407 

7071 
8734 
o3o7 
2059 

3720 

538i 

7041 
8701 
o36o 
2018 


mrm^mjf 

6639 
8333 
♦027 

1720 
341 3 
5io5 

671 
84 

0176 
1 865 

3554 
5242 


6929  7098 


8616 
o3oi 

1987 

3671 
5355 


5ii3 
6808 
85o3 
0196 

1889 
3582 
5274 
6965 
8655 

o345 
2o34 

3723 
5410 


7o39|7ao7 

8721 

o4o3 

2o85 

3765 


3587 
5283 
6978 
867a 
o366 

2059 

375 

5443 

7i34 

o5i4 

22o3 

3891 
5579 
7260 

8953 
0639 

2324 

4008 
5692 

7375 

88909058 


8784 

0470 
2 1 55 

384o 

3324 


5445 
71  a5 
8804 
0483 
3i59 

55i2 
7188 
8863 
0537 

2210 
3883 
5556 

7227 
8898 

o56o 

2238 

3907 
5576 
7244 

8 
0377 


>577 
3343 
3908 
5573 

7237 
8900 
o563 

2225 

3886 

5547 
7207 
8867 
0526 
3i84 


0571 

3253 

56i3 
7393 
8971 
0049 

2327 

4oq4 
568o 

7355 
9o3o 
0704 

2378 
4o5i 
5723 
7394 
9065 

0736 
34o5 

4074 
5743 
74 10 

9077 
0744 
a4io 
4075 
5739 

74o3 


0740 
2431 
4 1 01 

5781 
7461 
9139 
0817 
2495 

4171 
5847 

7523 

9!97 
0872 

2545 
4218 
58oo 
75oi 
9233 

3 
2 


3757 
5452 

7147 
884 1 
o535 

2228 
3920 

5^12 

73o3 
8993 

o683 
237a 

4060 
5748 
7435 

9121 

0807 

2492 

4177 
586o 


5949 
7629 
9307 
0985 
2662 

4339 
6oi5 
7690 
9365 
1039 

2712 
4385 
6o57 
7729 
9399 

1070 
2739 
44oB 

6076 
7744 

9411 
1077 
2743 
4408 

59066072 


090 
237 

4a4i 

5909 
7^77 

9244 
091 1 
3576 
4241 


7570 
9067  9333 

0729 
2  391 
4o53 

5713 
7373 
9033 
0692 
235o 


o8o5 
2557 
4219 


9'99 
0857 

a5i6 


3026 
5622 
7317 
901 1 
0704 

23o7 
4089 

5781 
747a 
9162 

o852 

2541 
4229 

5?' 7 
7004 

9390 

0976 
2661 
4345 
6029 


7544 
9226 
0908 
2589 
4269  4437 


7713 

9394 
1076 

3757 


Die 


7736 

9399 
1063 

2734 
4385 


58796045 

7539  7705 

9365 

I033 

3681 


6117 

779^ 
9475 
If  53 
383o 

4507 
6183 
7858 
9532 
1206 

2880 
4553 

6334 

7I 
9i 

1337 
2906 
4575 
6243 

7911 

9577 

1344 
3909 

4574 
6339 

7903 
9565 
1228 
2890 
455i 

621 1 
7871 
9531 
1 189 
a847 


01234        56     7     89 


169 


168 


167 


166 


DiC  tc  MulU 


I 
a 
3 

4 
5 
6 

7 
8 


I 
a 
3 

4 
5 
6 

7 
8 

9 


DiflT. 


170 
340 

5io 

680 

85o 

loao 

i36o 
i53o 


169 

338 

5o7 

676 

845 

1014 

ii83 

1 35a 

l53I 


I 

168 

a 

336 

3 

5o4 

4 

67a 

5 

840 

6 

1008 

7 

1176 

8 

i344 

9 

i5ia 

I 

167 

a 

334 

3 

5oi 

4 

668 

5 

835 

6 

looa 

7 
8 

1 169 

i336 

9 

i5o3 

I 

166 

a 

33a 

3 

4 

^ 

5 

83o 

6 

7 

1 103 

8 

i338 

9 

1494 

Difi*.  &.  Malt. 


LOGARITHMS     OF     NUMBERS. 


31 


Nit  in. 
2G20 

21 
22 
23 
24 

25 

26 

27 
28 
29 

26  3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

2640 

4i 
4a 
43 
44 

45 

46 

47 
48 

49 

26  5o 
5i 
5a 

53 
54 

55 
56 

57 
58 
59 

2660 
61 
62 
63 
64 

65 
66 

67 
68 
69 

2670 

71 

72 

73 
74 

75 

76 

77 
78 

79 

Num. 


0      12      3     4 


5     6     7     8      9 


418  3oi3 
4670 
6327 
7983 

♦  9638 

419  1293 
2947 
4601 
6254 
7906 

#  9557 

420  1208 
2869 
4509 
61 58 

7806 

#  9454 

421  IIOI 
2748 
4394 

6039 
7684 

♦  9328 
4220972 

301 5 

4257 

5898 
7539 

•  9180 
423  0820 

2459 
4097 

5735 
7372 

#  9009 

4240645 

2281 
3916 
555o 
7i83 

*  8816 
4^5  0449 

2081 
3712 
5342 

6972 

#  8601 

426  023o 
i858 
3486 

5ii3 
6739 
8365 


3 1 791 3344 
4836  5oo2 
6493  6658 


8i48 
9804 

3ii3 
4766 
6419 
8071 

9723 
1374 
3o24 
4674 
6323 

7971 

2913 

4558 

6204 
7848 

94^ 

IK 

2779 


427 


4421 

6o63 
77o3 
9344 
0984 

2623 
4261 
5899 
7536 
9173 

0809 
2444 
4079 
5713 

7347 

8980 
0612 

2244 
3875 
55o5 

7i35 

8764 
0393 
2021 
3648 

5275 
6901 
8527 

♦  l52 

1776 

3400 
5o23 
6646 
8268 
9737^9889 


3238 
4861 
6484 
8106 


83i4 
9969 

1624 
3278 
4931 
6584 
8236 

9888 
1539 
3189 
4838 
6487 

8i36 
9784 
i43i 
3077 
4723 

6368 
8oi3 
9657 
i3oo 
2943 

4585 
6237 

7868 


35io 
5167 
6824 
848o 


3676 
5333 
698^ 
864 


2 
9508  9672 


"47 

2786 
4425 
6o63 
7700 
9336 

0972 
2608 
4242 

5877 
75io 

9143 
0775 
2407 
4o38 
5668 

7298 
8927 
o556 
2184 
38ii 

5438 

7064 
8690 
o3i5 
1939 

3563 
5i86 
6808 
843o 
♦o5i 


i35o3oo 


1789 
3443 
5097 
6749 
84oi 

♦o53 
1704 
3354 
5oo3 
6652 

83oi 
9?48 
1595 
3242 
4888 

6533 
8177 
9821 
1 465 
3107 

4749 
6391 
8o3 


i3ii 

2o5o 
4589 
6226 
7864 
9500 

ii36 

2771 
44o6 
6o4o 
7673 

9306 
0038 
570 
4201 
583 1 

7461 
9090 
0719 

2347 

3974 

56oi 

7227 
8852 

0477 

3IOI 
3725 

5348 
6970 
8592 

02l3 


1955 
3609 
5262 
6915 
8567 

0218 
1869 
3519 
5i68 
6817 

8465 
♦ii3 
1760 
3406 
5o52 

6697 
8342 
9986 
1629 
3271 

4913 
6555 
8196 
9836 
1475 

3ii4 
4753 
6390 
8027 
9664 

i3oo 
2935 
4569 
6203 

7837 

9469 
1 102 
2733 
4364 
5994 

7624 
9253 
0881 
2509 
4i37 

5763 
7389 
9oi5 
0639 
2264 

3887 
55io 
7i33 

8754 
0376 


3842 
5499 
7155 
8811 
o466 

2120 

3774 
5427 
7080 
8732 

o383 
2o34 
3684 
5333 
6982 

863o 
0278 
1925 
3571 
5217 

6862 
85o6 
♦  i5o 
1703 
3436 

5078 
6719 
836o 
♦000 
1639 

3278 
4916 
6554 
8191 
9837 

1 463 
3098 
4733 
6367 
8000 

9633 
1265 
2896 
4527 
61 57 

7787 
9416 

1044 
2672 

4299 

5926 
7552 
9177 
0802 
2426 

4o5o 
5672 
7295 
8917 
o538 


4007 

5664 
7321 
8976 
o63i 

2286 

393^ 

559 

7245 

8897 

o548 
2199 
3849 
5498 

7M7 

8795 
0442 
2089 
3736 
538i 

7026 
8671 
o3i4 
1957 
36oo 

5242 
6883 
8524 
0164 
i8o3 

3442 
5o8o 
6718 
8355 
9991 

1627 
3262 
4896 
653o 
8i63 

9796 
1428 
3o59 
4690 
63  20 

7950 
9579 
1207 
2835 
4462 

6088 

7714 
9340 

0964 
2588 

4212 
5835 

7457 
9079 
0700 


4173 
583o 
7486 
9142 
0797 

245 1 
4io5 
5758 
74to 
9062 

0713 
2364 
401 4 
5663 
73i2 

8960 
0607 

2254 
3900 
5546 

7191 
8835 

0479 
2122 

3764 

5406 

7047 
8688 
o328 
1967 

36o6 

5244 
6881 
85i8 
♦i54 

1790 
3425 
5o6o 
6693 
8327 

9959 
1391 

3222 

4853 
6483 

8ii3 
9742 
1370 
2998 
4625 

6251 

7877 
9502 
1 1 27 
2751 

4374 
5997 
7619 

9241 
0862 


4339 
5906 
7652 
9307 
0962 

2616 

4270 
5o23 
7375 
9227 

0878 
2529 

4179 
5828 

7477 

9125 

0772 

24l< 

406 

5710 
7355 

8999 

0643 

2286 
3928 

5570 
72 1 1 
8852 
0492 

2l3l 

3770 
5408 
7045 
8682 

o3i8 

954 
3589 

5223 

6857 
8490 

♦122 

1754 
3385 
5oi6 
6646 

8276 
9904 
i533 
3i6o 

4787 

64r4 
8039 
9665 
1289 
2913 

4536 
6159 
7781 
94o3 

1024 


45o5 
6161 

7817 

9473 
1128 

2782 
4435 
6088 
774i 
9392 

1043 
2694 
4344 
5993 

7641 

9289 

37 


23»3 

4229 

5875 

7520 
9164 
0807 
245o 
4093 

5734 
7375 
9016 
o656 
2295 

3933 
5571 
7209 
8846 
0482 

2117 
3752 
5386 
7oao 
8653 


0286 
1917 
3549 
5179 
6809 

8439 
♦067 
1695 
3323 
4950 

6576 
8202 
9827 
1452 
3076 

4699 
6321 

7?44 
9S65 
1186 


0      1 


3      4 


5      6      7      8      9 


DifT. 


Diff.  &  Mult. 


i65 


i64 


i63 


Dur. 


I 
2 
3 

4 
5 
6 

7 
8 


I 
a 
3 
4 
5 
6 

7 
8 


166 
332 
498 
664 
83o 

996 
1 163 

1 338 

1494 


I 

i65 

2 

33o 

3 
4 

495 
66d 

5 

•825 

6 

7 

,m 

8 

1 320 

9 

i485 

I 

t64 

2 

3a8 

3 
4 

493 
656 

5 

820 

6 

984 

7 

ii48 

8 

l3l2 

9 

1476 

I 

i63 

2 

326 

3 

489 

4 

653 

5 

8i5 

6 

978 

7 

ii4i 

8 

i3o4 

9 

1467 

162 

334 

486 

648 

810 

973 

ii34 

T396 

i458 


Diff.  &  Mult 


—IB*  '»*—■■■'■■"»■  ■I** 


m 


LOGARITHMS  OF  NUMBERS. 


Mm 

Si 

83 
&I 

85 

'CUtil 

87 
88 
'89 

1690 
91 
92 
93 

94' 

95 
96 

97 

98' 

99 

1700 
01. 

o3 

06 
07 

09 

37 10 

1:3 

1 4 

i5 
16 
17 
18 
19 

27  20' 

21 

m  m 
'24 

25 
2^' 
27 
28 
29 

2730 

3i 
3) 

35 
36 
37 
38 

39 

Mum. 


0      12      3      4 


5 


6      7     8     9 


4iWi348ii5io 
2968  3 1 3o 
4588  4750 
62076369 
78257987 


•   9443 
429  1060 

2677 
4293 


59086070 


7523 

•  9137 
4300751 

2364 
3976 

5588 
7199 

•  8809 
43i  0419 

2029 

3638 
5246 
6853 
8460 

4320067 


9605 

i222 

2838 

4454 


1673 
3278 
4683 

6487 
8090 

•  9693 

433 1 295 
■2897 
4498 
6098 

7698 

•  9298 

434  0896 
2495 
4092 

5689 

728;^ 

•  888' I 


■7684 
9298 
0912 

2525 

4i37 

5749 
7360 
8970 
o58o 
2190 

3798 

5407 
7014 
8621 

0227 

i833 

3438 
>x)4<j 
6647 
82.50 

9853 
1455 

3o5' 

4658 

6258 

7858 
9458 
io56 

2654 
435a 


1672 
3292 
.4912 
653o 
8149 


584' 
744: 
9041 


435  0476  o636 


2071 

3665 

5359 

685i 

8444 

436oo35 

1626 

4807 


#  9573 
437 1 161 

2748 
4JJ4 


3824 
5418 
701 1 

86o3 
0194 

1786 

3376 

4 

6: 

81.44 

9732 
l330 

2907 
4493 


5920  6079 


9766 

i383 

4616 
6231 

7846 
9460 
1073 
2686 
4398 

So  10 

7321 

9i32 
0741 
235i 

3 

7175 
8782 
o388 

'994 

'J  399 
52o3 
6807 
84ii 

♦01 3 
1616 

3217 
4Bi8 
64i8 

8018 

9617 
1216 
2814 


1 834 
3454 

6692 
83ii 


3162 

4777 
6393 

8007 
9631 
1235 

3847 
4460 

6071 
7682 
9293 

X2 
2 


6008 

7605 
9200 
'O795 
2390 

3984 

5577 
7170 
8762 

o354 

1945 

5i25 
6714 
83o3 

9891 
1478 
3o65 
4652 
6237 


5728 
7336 
8942 

0.549 

2i54 
3759 
5364 
6968 
8571 

0174 

1776 
3377 

4978 

6578 

8178 

9777 
1376 

2974 
4571 


[996 

■36i6 
5235 
6854 
8472 


4939 

6554 

B169 

9782 

I ONQO 

Jooo 
462i 

6233 

7843 

9454 

io63 

3673 


4t  30  4381 


6168 

7764 

9360 
0955 
3549 

4 1 43 
5736 
7339 

31 

i3 


8 


2104 
3694 
5284 
6873 
8462 

♦o5o 
1637 
3224 
4810 
6396 


588^ 
7496 
9103 
0709 

23 1 5 
3920 
5524 
7128 
8731 

1036 

5i38 

'6738 

8338 

^^ 
i536 

3i34 

473 1 

6338 
7934 
9519 
iii4 

2709 

43o3 
5896 

7488 
9080 
0672 

2263 
3853 

5443 
7o32 
8630 

0208 
1796 
3383 

655 


21 58 

3778 
5397 
7016 
8634 

025a 
1868 
3485 
5ioo 
6715 

833o 

1557 
3170 
4782 

6393 

8004 
9615 
1224 
2833 

4442 
6o5o 

7657 
9364 
0870 

3475 


2330 

3940 

See— 
3^9 

7178 


2636 
4o8o434i 
5685  5845 
7388 
8893 


o4f4 
3096 
3697 
5398 
6898 

8498 
♦097 
1696 

3393 
4891 

6487 
8o83 


24B2 

4l03 

5721 
7340 


2644  3806 
4364  4436 


Diir. 


8796  8958 


04 1 3 

3646 

5362 

6877 

8491 
♦  io5 
1718 

4943 

6554 
8i65 

9776 
1 385 
2994 

46o3 
6210 
7818 

9434 
io3o 


96799838 


1 374 
3868 

4462 
6o55 
7648 
9240 
o83i 

3423 
401 3 
56o3 
7191 


8779  8938 

o367  o536 
1055  3ii3 

3541  3700 
5 127  5286 
67136873 


9053 
0654 

2356 

5458 
7o58 

8658 

0257 
1855 
3453 
5o5o 

6647 
8243 


0575 
2192 
38o8 

5433 
7o38 

8653 
0267 
i88o 

3493 
5io4 

6716 
8336 

9937 
1 546 
3i55 

4763 
6371 
7978 
9585 
1191 


2796 

440'i 

6oo5 

74497609 

9213 


5883 
75oi 
9119 

0737 

3353 


1433 
3o38 

462  J 
6214 
7807 
9399 
0990 

3  58 1 

417J 
5761 

735o 


8818 
o4i7 

30l5 

36i3 
Ssio 


5: 
7200 

88i4 
0428 
2o4i 
3653 
5365 

6877 
8487 
♦098 
1707 
33i6 

4924 
6533 
8139 
9740 
i353 

3957 

456; 

6166 

7769 

9373 

0075 

2577 
4178 
5778 
7378 

8978 
0577 
2175 
3773 
5370 

8^02 

♦i57 
1752 
3346 

4q4o 
6533 
8125 

9717 
i3o8 


6045 
7663 
9281 

0898 

4i3i 

5747 
7361 

8076 
0589 

3203 

38i5 

5427 

7o38 
8648 
03  58 
1868 
3477 

5o85 
6693 
83oo 
9006 

l5l2 

3ii7 

4723 
6326 
7930 
9533 

ii35 

3737 
4338 

*J9'30 

7538 

9i38 
0737 
3335 
3933 
5529 

7126 
8723 
o3i7 
101 3 
35o6 

1999 
6693 

8284 

9876 

1467 


38993058 

4480  4648 
607a  6337 
7667  7836 
93569415 


0843 
243i 
4017 
56o3 


I003 

3580 
4176 

5762 


71897347 


162 


161 


160 


159 


DiC  it  MnK. 


I 
2 
3 

4 
5 
6 

7 
8 


I 

3 
3 

4 
5 
6 

7 
8 

9 


0      12      3     4        5     6     7     8     9     I  PiC 


162 

334 

486 

648 

810 

973 

1 1 34 

1396 

1458 


161 

323 

483 

644 

8o5 

966 

1137 

1288 

1449 


I 

160 

3 

330 

3 

48o 

4 

64o 

5 

800 

6 

960 

7 

II 20 

8 

1280 

9 

i44o 

I 
2 

3il 

3 

477 

4 

636 

5 
6 

795 
954 

7 

iii3 

8 

1372 

9 

i43i 

IHC&Molt. 


LOGARITHMS     OF     NUMBERS 


33 


Nam. 

S740 

4i 

43 

43 
44 

45 

46 

47 
48 

49 

3750 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

2760 
61 
62 
63 
64 

65 

66 

67 
68 

69 

2770 
71 
73 

73 
74 

75 
76 

77 
78 

79 

2780 
81 
82 
83 

84 

85 
86 

87 
88 
89 

2790 
91 

93 

94 

95 

96 

9Z 
98 

99 


4377306 

#  9090 
438  0675 

3258 

384 1 

5433 
7005 

#  8587 

4390167 
1747 


Q   1   g   3  4    5  6  7   8   9  I  Dir.  I 


766417823  7981  i8i4o 


3337 
4906 


92499407 
0833099 
2075 
4i58 

5740 
7322 
8903 
0483 
2o63 


3485 
5o64 


64846642 

8062 

9639 


440  1216 
2792 
4368 
5943 
7517 

*  9091 

4410664 
2237 
3809 
538o 

6951 

8522 

4420092 
1661 
323o 

KM 

4798 

6365 

7932 

»  9499 

443  io65 

263o 
4i?5 
5759 
7322 
*  8885 

444o448 
2010 
3571 
5i32 
6692 


7108 
8679 
0249 
1818 
3386 


i53i 
3 107 
4683 
6258 
7832 

9406 
255 1 


5898 
7480 
9061 
0641 
2221 


9724 


3543 


1221 


1689 
3265 
484o 
64x5 
7989 

9563 
n36 
3708 
4280 
5852 


6o56 
7638^ 
9219" 
0799 

2379 

3959 
5537 
7ii5 
8693 
0270 

1847 
3422 

'^. 

8147 

9720 
1293 
2866 
4438 
6009 

758o 
91 5o 
0719 
2288 
3857 


8252 

#  9811 
445  1370 

2928 
4485 

6042 
7598 

*  9154 
4460709 

2264 

38i8 
5372 
6925 

XA     ^"^^^ 
447  0029 


84o8 

3o83 
464i 


8564 

♦  123 

1681 

3^39 

4797 


5268 

6835 
8402 

??! 

3099 

4664 
6228 

7791 
9354 

0917 
3478 
4o4o 
56oo  5766 
7160  73i6 


6353 
7910 
9465 
1020 
2575 


8876 
0435 


8720 
0279 
1 837 
33o5 
4952  5 1 08 

65o9 
8o65 
9621 
1176 
2730 


4384 
5838 
7390 
8943 


4440 
5993 
7546 
9098 


Num. 


0 


'o494(o65o 
3     4 


8208184578615 
9883  ^041 


6214 

7796 
9377 
0957 
2537 


2004 
358o 
5i55 
6730 
83o4 

9878 
i45o 
3o23 
4595 
6166 

7737 
9307 
0876 
2445 
4oi4 


2162 
3738 
53i3 
6887 
846i 

♦o35 
1608 
3i8o 
4752 
6323 

7894 
9464 
io33 
2602 

4171 


5582  5738  6895 


7149 
8716 
0282 

1847 
3412 

4977 
654 1 
8104 
9667 


73o6 
8872 
o438 
2004 


2319 

3895 
5470 
7045 
8619 

0192 
1765 
3337 
4909 
648o 

8o5i 
9621 
1190 

2759 
4327 


66896847 


8270 
9851 
i43i 
3oii 


3477 
4o53 
5628 
7202 

8776 

0349 
1922 
3494 
5o66 
6637 

8208 
9778 

i347 
2916 

4484 


8428 
♦009 
1589 
3169 


9032 
0590 
2149 
3706 
5264 

6820 
8376 
9932 

1487 
3o4i 

4595 
61 48 
7701 
9253 
o8o5 


3569 
5i33 
6697 
8260 
9823 

i385 

2947 

45o8 
6068 
7628 

9188 
0746 
23o5 
3862 
5419 

6976 
8532 

♦087 
1642 
3197 


0751 
23i7 

3725  3882 


2635 
43 10 
5785 
7360 
8933 

o5o7 
2080 
3653 

5223 

6794 

8365 

i5o4 
3073 
464i 

6309 

.  ,  7776 

9185  9343 

0908 

2473 


6o53 
7619 


475o 
63o4 
7856 
9408 
0960 


5290 
6853 

8417 
9979 

i54i 
3io3 
4664 
6224 

7784 

9343 
0902 
2460 
4018 
5575 

7i32 
8687 
0243 
1798 
3352 


4906 
6459 
8011 
9563 
ni5 


5446 
7010 
8573 
♦i36 

1698 
3259 

4820 
638o 
7940 

lin 

2616 

4174 
5731 

7287 
8843 
o3q8 
io53 
35o7 


5o6i 

6614 
8167 
9719 
1270 


4o38 
56o3 
7166 
8729 
0293 

1 854 

34i5 
4976 
6536 
8096 

9655 
1214 

2772 
4329 
5886 

7443 

*??9 
o554 


5216 
6769 

8322 

9874 
1425 


5     6     7     8     9 


i58 


1 57 


Die 


Diffl  k.  Mult 


1273 

i43i 


Diff.  Ik  Mult. 


« 


d 


I 


M 


LOGARITHMS  OP  NUMBEBS. 


Nitin- 

9800 

oi 
oa 
o3 

o4 

06 
07 
06 
09 

38  10 
II 

13 

1 3' 
i4 

i5 
16 

17 
iB 
19 

30  m 

33 

34 

9:5 
36 

37 

39 

38 '3o 
3i 

33 

33 

34 

ij3 
30 
37 

38 
39 

3840 

45 
in 

% 

98  So 
5i 

53 

53 

54 

55 

m 

39 


012     34         56789 


44T158© 
3i3i 

4681 

'633 1 


77807935 

•  93399483 

4480877  io3i 
3424  2579 
3971  4126 
55i7  5673 

7318 
8763 


1735 
3286 
4836 
63866! 


1891 
3441 
401 
654 1 
8090 

9638 
1 186 
2734 
4a8o 


ao46|22oi 
35963751 
5i46  53oi 
66966851 


7063 
8608 
4490153 
1697 
3341 

4784 
6327 
7868 

•  94fo 
4500951 

34qi 
4odi 
5570 
7109 

•  8647 

4S1  oi85 

1733 


8345 
9793 

1 341 

3888 

4435 


5837I598 

7372 
8917 


o3o8o463 


1 85a 
3395 

4938 

6481 
'8033 
9564 
iio5 

2645 
4i85 
5734 
7363 
8801 


3006 

355o 


66 

8177 
9718 
1359 


7527 
9073 


8400 

9948 
1496 
3o43 
4590 
6i36 

7681 
9326 


33:56|25ll 

39064061 


06 1 6  077 1 
2!6oa3i5 

37o4'3858 

I 

5247|54oi 

67896943 


833 1 
9872 


8485 
♦026 


5456 
7006 
8554 

•  io3 
i65o 
3198 

4744 
6290 


56i  I 
7161 
8709 

02  58 
i8o5 
3353 
4890 

6443 


78367 
9381  95 
09251080 
34692634 
4oi34>67 


1875 
341 3 
4794  4948 


5878 
74 16 
8954 

o338  0492 
~  2039 

5ioi 


i4i3;i567 

3i07 

4647 
6186 


63396483663667906943 


7864 


8018 
9552 
1086 
2619 

4i52 

5684 

72i5 
8746 
0377 
1807 


3953 
44q3 
6o3a 

7570 
9108 

0646 
3i83 
3719 

KnfiK 


453 

3466 
3998 

7063 
8593 

453  01 34 
i654 

3i83  3336 

4712  4865 
6341 

77601792 « 

•  93969449 

454  0833  0975 

2349  ^^^ 
,3875  4037 
54oo  5552 
6924  7077 

8449  ^^* 

•  9973  ♦!  25 
455  1495  1647 
"  3170 


8171 

9705 
1339 

3773 

43o5 

5837 
7369 


7724 
926a 

07' 

23 

3873 


5255  5408 


8335 


2936 

4458 

DOOO 

7522 


89009053 

o43o 
i960 


6394654666996853 


3489 
5oiB 


o583 
aii3 

364a 
5171 


3oi8 
4540  469a 


6061 

758a 

•  9ioi 

456063a 

3142 


62i3 

7734' 


8074 
9601 

I  I  38 

3654 
4180 

5705 
7229 

8753 

0277 
1800 

3322 
4844 

6365 


2393 


8478 

♦OI3 
1 546 
3079 
4611 

6143 

7675 
9206 
0736 
3266 

3795 

53a4 


8337 
9754 

1281 

2807 
4333 
5857 
7382 

8906 
0429 
1952 
3474 
4996 

65i7 


07740926 


3445 


838o 

9907 

1 433 
3959 
4485 
6010 
7534 

9o58 

o58i 
aio4 

..3637 
5i48 

6670 


788680388190 


94069558 


1078 
2597 


9710 
i23o 

2749 


26662821 


•Jf  ^gf  "Jf  "Xlf 

7008 

8639 
0180 

1721 

3261 
4801 
634o 

7878 
9416 

0953 

3490 
4oa6 
556a 
7097 

863a 

0166 

l^ 
3a33 

4765 

6297 

7828 

9359 
0889 

3419 

3948 

5477 
7oo5 
8532 
♦059 

i586 

3ll2 

4637 
6i6a 
7687 


5710 
7252 
8793 
o334 
1875 

341 5 
4954 
6493 
8o32 

9570 


4216 
5766 
73i5 
8864 

o4i2 

1960 
3507 
5o54 
6600 

8i45 

2778 
4321 

5864 
7406 
8948 


4371 
5921 


9019 

056707 
aii5 
3663 
5208 


76 
26 

6076 
7470  76a5 

9174 


22 
2269 
38i6 
5363 


67546909 

82998454 

9844 
1389 
2932 
4475 

6018 
7560 
9102 


0489  0643 
2029  21 83 

3569  3733 

5 108  5262 
66476801 
81868339 
9723  9877 

i4i4 
2951 

4487 


1 361 

2797 
4333 


74o4 

8938 

0472 
2006 


5869I6022 


1 107 

2644 
4180 

5715 
7250 

8785 
o3i 
1 85 
3385 

4918 

645o 
7981 
95 1 3 
1043 

2572 

4ioi 
563915782 


3159 

5071 

66o3 
8i34 
9665 
1 195 
3725 

4a54 


4: 
3087 
463o 

6173 

77*4 
9256 

0707 
a3i7 

3877 
5416 
6955 
8493 
*o3i 

i568 
3io4 

4640 
6176 

7711 

9245 

0779 

33l2 

3845 
52i4  5377 

67566909 


Dim 


i55 


7557 

9092 

0626 


7i5tt 
8685 
0212 

1739 
3264 
4790 
63i5 
7839 


73io 
8838 
o365 

1891 

3417 
4942 
6467 
799 


8287 
9818 
i348 
2878 

44o7 
5935 
7463 
8990 
o5i7 

ao44 

3570 


844o 
9971 
i5oi 
.3o3o 

4559 
6088 
7616 
9143 
0670 

2196 
3722 


50955247 
6620  6772 


8144 


921093539515 
0734108861 1  o38 


96689820 


2257 
3779 


2409 
3931 

5453 

6974 


256i 
4o83 
56o5 


8296 


1 191 
27i3 
4235 

5757 

7278 


682269747126 

83428494864618798 
9862  #014  0166  o3 1 8 
i38a  1 534!  1686  1 838 
3901  i3o53  3ao5  3357 


i343 
3865 
4388 
591*9 

743o 
8950 
0470 

35o8 


1234        56789 


i54 


i53 


Diflr.4bMuH. 


1 5a 


I 
a 
3 
4 
5 
6 

7 
8 


I 
a 
3 

4 
5 
6 

7 
8 

9 


DiiT. 


i56 

3l3 

468 

634 

780 

936 

»«93 

1348 

i4o4 


t 

1 55 

2 

3io 

3 

465 

4 

620 

5 

775 

6 

930 

7 

io85 

8 

1240 

9 

1395 

I 

i54 

3 

3c>8 

3 

463 

4 

616 

5 

770 

6 

924 

7 

1078 

8 

1233 

0 

i386 

i53 

459 

613 

765 
918 

1071 
1234 

1377 


I 

l53 

3 

3o4 

3 

456 

4 

608 

5 

760 

6 

913 

7 

io64 

8 

I3l6 

9 

1 368 

DiflT.  k.  Mult. 


LOGARITHMS     OF     NUMBERS. 


35 


Num. 

2860 

61 
6a 
63 
64 

65 
66 

67 
68 
69 

2870 

71 
72 

73 
74 

75 
76 

77 
78 
79 

2880 
81 
82 
83 
84 

85 
86 

87 
88 
89 

2890 
9' 
91 

94 

96 

97 
98 
99 

3900 
01 
03 

o3 
04 

o5 
06 

07 
08 
09 

29  10 
II 

13 

i3 
i4 

i5 
16 
17 
18 

'9 

Num. 


0      12      3     4 


5     6     7     8     9 


456  3660 
5179 
6696 
8213 

*  9730 

457  1 246 
2762 
4277 
5791 
73o5 

#  8819 

458  o332 

1844 
3356 
4868 

6378 

7889 

*  9399 
4590908 

2417 

3925 
5433 
6940 
8446 

#  9933 

46oi458 
3963 

4468 
5972 

7475 

#  8978 
46io48i 

1983 
3484 
4985 

6486 
7986 

♦  9485 
4620984 

2482 


3980 

5477 
6974 
8470 

*  9966 

463  i46i 
3956 
445o 

5944 
7437 

*  8930 

464  o4a2 
1914 
34o5 
4895 

6386 
7875 

*  9364 
465o853 

234i 


38i2 
533o 
6848 
8365 
9882 

1398 
2913 
4428 
5943 

7457 

8970 
o483 

5019 

653o 
8o4o 
9550 
1059 
2567 

4076 
55d3 
7090 
8597 
♦io3 

1609 
3ii4 

4618 
6122 
7626 

9129 
o63i 
2i33 
3634 
5i35 

6636 
81 36 
9635 
ii34 

2632 


39644116 
548215634 


7000 

85i7 
♦o33 

1 549 

3o65 
458o 
6094 
7608 

9122 
o634 

2147 
3659 
5170 

6681 
8191 
9701 
1210 
2718 

4226 

5734 
7241 
8748 
0254 

1759 
3264 

4769 
6273 

7776 

9279 
0781 

2283 

3785 

5285 


6786 
8285 
9785 
1284 

2782 


7i52 
8660 
oi85 

1701 
3216 

4731 
6246 

7760 

9273 
0786 
2298 
38io 
5321 

6832 
8342 
9851 
i36i 
2869 

4377 
5885 
7392 
8898 
o4o4 

1910 

34i5 

491 

642 

7926 

9429 
0932 
2433 
3935 

5435 


4i3o 
562- 

7124 
8620 
♦116 

1611 
3io6 
4600 
6093 
7587 

9079 
0571 
2o63 
3554 
5o45 

6535 


4279 

5777 
7273 
8770 
0265 

1760 
3255 
4749 
6245 

7736 

9228 
0720 
2aia 
3703 
5194 

6684 


80348173 
95139662 


1 003 
3490 


ii5i 
2639 


6936 

8435 

9935 
1433 
2932 

4429 

5926 

7423 

891 

041 

1910 

3404 
4898 
6392 

jm 

9378 
0870 

236i 
3852 
5343 

6833 

8322 

981 1 
1209 

2787 


4268 
5786 
73o3 
8820 
o337 

i853 
3368 
4883 
6397 
7911 

9424 
0937 

2449 
3961 

5472 

6983 
8493 
♦002 
i5ii 

3020 

4528 
6o36 
7542 
9049 
o555 

2060 
3565 
5070 
6573 
8077 

9579 
1082 

2584 
4o85 
5585 


7086 
Iii585 
♦o85 
1 583 
3o8i 

4579 
6076 
7573 
9069 
o564 

2059 
3554 
5o48 
654i 
8o34 

9527 
1019 

25lO 

4ooi 
5493 

6981 
8471 
9960 
1 448 
2936 


4420[457i|4723 


5938 
7455 
8972 
0488 

2004 
3519 
5o34 


6549  ^7°*^ 
80628214 


9576 
1088 
2600 

4ll2 

5623 

7134 

8644 
01 53 
1662 
3171 

4679 
6186 
7693 
9200 
0705 

2211 
3716 
5220 

6724 
8227 

9730 

J232 

2734 
4235 

5736 


6089 
7607 
9124 
0640 

21 56 
3671 
5i86 


9727 
1239 
2752 
4263 

5774 

7285 
8795 
o3o4 
i8i3 

3322 

483o 
6337 

7844 
9350 
o856 

236 1 
3866 
5370 

6874 
8377 


7236 
8735 
0234 
1733 
323i 

4729 
6236 

7722 
9218 
0714 

2209 
3703 
5197 
6691 
8x84 

9676 
1168 
2659 
4i5o 
564i 

7i3o 
8620 
♦109 
1597 
3o85 


9880 
i382 
2884 
4385 
5886 

7386 
8885 
o384 
1 883 
338 1 

4878 
6375 
7872 
9368 
o863 

2358 
3853 

5347 
684o 
8333 

9825 
i3i7 
2808 
4299 
5790 

7279 
8769 

0258 

1746 


6241 
7758 
9275 
0791 

23o7 

3822 

5337 
685i 
8365 

9878 
1 39 1 
2903 
44i4 
5925 

7436 
8946 
0455 
1964 
3472 

4980 
6488 

7994 
9501 

1007 

25l2 
4017 

5521 

7024 
8528 

♦o3o 
i532 
3o34 
4535 
6o36 


4875 
6393 
7910 

9427 
0943 

2459 
3974 
5489 
70o3 
85i6 

♦029 
i542 
3o54 
4565 
6076 

7587 
9097 
0606 

2Il5 

3623 

5i3i 
6638 
8145 
9651 
1 1 57 

2662 
4167 
5671 

7175 
8678 


5027 
6545 
8062 
9578 
1095 

2610 
4i25 
564o 
7154 
8668 

0181 
1693 
32o5 

4717 
6227 

7738 
9248 
0757 
2266 

3774 

5282 
6789 
8296 
9802 
i3o8 

2813 
4317 
5822 
7325 
8828 


0180  o33i 


Diff. 


i683 
3i84 
4685 
6186 


75367686 
90359185 


o534 
2o33 
353 1 

5028 
6525 
8022 
9517 
ioi3 

25o8 
4002 

5496 
6989 
8482 

9974 
1 466 
2958 
4448 
5939 


0684 
2i83 
368o 

5178 
6675 
8171 
9667 
1 162 

2657 
4i52 
5645 
7139 
863 1 

♦  124 
i6i5 
3 107 
4597 


1 833 
3334 
4835 
6336 

7836 
9335 
o834 

2332 

383o 

5328 
6824 
8321 
9817 

l3l2 

2807 
43oi 
5795 
7288 
8781 

0273 
1765 
3256 
4746 


6088,6237 


7428  757717726 

891890679215 

o4o6!o555,07o4 

.  .    1895120432192 

3234''3382!353i  368o 


0 


12      3456789 


i5i 


i5o 


149 


Diir.&^MuIt. 


I 
3 

3 

4 
5 
6 

7 
8 

9 


Diff. 


I  53 

3o4 
456 
608 
760 
913 
1064 

I3l6 

i368 


I 

i5i 

3 

302 

3 

453 

4 

604 

5 

755 

6 

906 

7 

1057 

8 

1 308 

9 

1359 

I 

i5o 

3 

3oo 

3 

45o 

4 

600 

5 

75o 

6 

900 

7 

io5o 

8 

1200 

9 

i35o 

I 
3 

It^ 

3 

447 

4 

596 

5 

745 

6 

894 

7 

1043 

8 

1193 

9 

1 341 

I 

i48 

3 

396 

3 

444 

4 

593 

5 

74o 

6 

888 

7 

io36 

8 

ii84 

Q 

1 333 

Diff.  &  Malt 


>! 


36 


LOGARITHMS  OF  NUMBERS* 


ay 
a3 
34 

a5 

a6 
27 

ay 

2930 
3 1 
3a 
33 
34 

OPIj 

3? 
38 
39 

3940 

4i 
4a 
43 

mmOL 

45 

46 

47 
48 

49 

aoSo 

31 

5a 
53 
54 

55 
56 
57 
58 
59 

3960 
61 
6a 
63 
64 

65 
66 
67 
68 
69 

3970 

71 

7a 

73 
74 

75 
76 

77 
78 

79 

Muni. 


01234        56789 


4IIS  38aQ 
53io 
6803 
8a88 

•  9774 

466ia5o 

3745 

4aa7 
5711 
7194 

•  8676 

467  01 58 
i64o 
3iai 
4601 

6081 
7561 

•  9039 

468  o5i8 
1996 


3977 

5464 

695 

8437 

99aa 


7342749076397787 


88a4 
o3o6 
1788 
3369 


4749  4897 


3473 
4950 

6427 

7903 

•  9J78 

469  o853 
a327 
38oi 

5275 


6aa9 

700 
9187 
0666 
2144 

3621 
5098 

6574 
8o5o 


1000 
2475 
3949 
542a 
67486895 


8aad 

•  969a 

470  1 164 
a634 

4io5 

5575 
'7o44 
85i3 

•  998a 

471  i45o 

a9i.7 
4384 
585i 
7317 

•  878a 

47a  0247 
1711 
3i75 


7564 

#  9oa7 

473  o4B8 
1949 
3410 

4870 
63ao 

7788 

•  9247 

474  0705 


4126 
56i3 
7099 
8585 
♦071 


58596007 


8973 
0455 
1036 
3417 


6377 
7856 
9335 

0814 
2291 

3769 
5246 
6722 
8198 


9526  9673 


i3ii  i458 
:178a  3929 
425a  4399 

5722  586o 
7191  7338 
86608807 
♦  1290275 
1596  1743 

3o64  3211 

453 1  4677 
5997  6144 
7463  7610 
8929  9075 

0393  o54o 

i858  2004 

3322  3468 

493a 

610262486395 


46394785 


7711 
9173 
o634 
2095 
3556 

5oi6 
6475 
7934 
9393 
o85i 


1704 
3i88 

4672 
6i56 


91 2 1 
o6o3 

2084 
3565 
5o45 

6525 
8004 
9483 
0961 
2439 

3oi6 
5393 
6870 
8345 
9821 


ii48 
2622 

4096 
5569 

7042 


1 853 
3337 
48a  I 
63o4 


7337 


8367  85i5  8662|88o9 
98399986 


7857 
9319 
0780 

2a4i 
3702 

5i6a 
6621 
8080 
95399684 
0997  1 142 


6i63 
763a 
9101 
0569 
ao37 

35o4 
4971 

6437 
7903 
9368 


457a 
6059 
7545 
903 1 
o5i6 

aooi 
3485 
4969 
6452 
7935 

9417 
0899 
238o 
386i 
5341 

6821 
83oo 

9779 
1257 

2735 

421a 
5689 
7165 
864o 
«ii6 

1500 
3oo4 
4538 
601 1 
7484 

8956 
0428 
1899 
3370 
484o 

63io 

7779 
9248 

0716 

ai83 

365 1 
5ii7 
6584 
8049 
95i5 

0979 
2444 
3oo7 
5371 
6833 

8296 

9757 
1219 

2679 

4i4o 

7059 

85i8 
9976 
1434 


4721 
6ao8 

7694 
9180 
o665 

2149 
3634 
5ii7 
6601 
8o83 

9565 

io47 
a528 
4009 
5489 

6969 
8448 
9927 
i4o5 
a88a 

4360 
5836 
73i2 
8788 
oa63 

1738 

3212 

4685 
6159 
763 1 

9103 
0575 
2o46 
35i7 
4987 

6457 
7926 

?M 

otsoJ 
a33o 

3797 
5264 
6730 
8196 
9661 

iia6 
2590 
4o54 
55i7 
6980 

8442 

a825 

4a86 

5746 
7205 
8664 
•122 
i58o 


4870 
6356 
7842 
9328 
o8i3 

2298 
3782 
5266 
6749 
823a 

9714 

1 195 
2676 
4 1 57 
5637 

7117 


5oi8 
65o5 
7991 

9477 
0962 

2446 
3930 

54i4 
6897 
838o 

9862 
343 
2824 
43o5 
5785 

7265 


85968744 
♦074 
1 553 
3o3o 


45o7 
5984 
7460 
8935 
o4ii 

i885 
3359 
4833 
63o6 
7778 

9251 
0722 
21 


022a 
1700 
3178 

4655 
61 3 1 

7607 
9083 
o558 

ao33 

3507 
4980 
6453 
7926 


5i34 


8073 
9541 
1009 
2477 

3944 
541 1 
6877 
8342 
9808 

1272 

2736 
4aoo 
5663 
7126 

8588 
♦o5o 
i5ii 
2972 
4432 

5891 
735 1 
8809 
0268 
1725 


2340 
38ii 
5281 


6604  6750 


8'2i9 
9688 
11S6 
2624 

4091 

5557 
7023 
8489 
9954 

2883 
4346 
5809 

7273 

8734 
0196 
i657 
3ii8 
4578 

6037 

7497 
8955 
o4i3 
1871 


5167 
6653 
8i4o 
9625 
iiio 

2595 

4079 
5562 
7045 
8528 

♦010 

149a 
2973 
4453 
5933 

74i3 
889a 
0370 
i848 
3326 

48o3 
6a79 
7755 
9231 
0706 

ai8o 

3654 
5ia7 
6600 
8073 

9545 
1016 
3487 
3958 
5428 

6807 
8366 
9835 
i3o3 
2770 

4237 
5704 
7170 
8635 

♦  lOI 

1 565 
3029 

4493 
59% 

7418 

8880 
0342 
i8o3 
3264 

4724 

6i83 

7642 
9101 
0559 
2017 


01234        56789 


DiflT. 


i48 


147 


i46 


DiflT. 


DiflT.  k.  Muh. 


I 

a 

3 

4 
5 
6 

7 
8 


I 
a 
3 

4 
5 
6 

7 
8 


I 

a 
3 

4 

5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 

9 


149 
298 

447 
596 

745 

894 
1043 
1 192 
i34i 


i48 
296 

444 
592 
740 
888 
io36 

ii84 
1 332 


i47 

294 

441 

588 

735 

88a 

loao 

1 176 

i323 


i46 

29a 

438 

584 

73o 

876 

loaa 

1168 

i3i4 


DifT.  k.  Malt. 


LOGARITHMS     OF     NUMBERS. 


37 


Num. 

2980 

81 
8a 
83 

84 

85 

86 
87 
88 
89 

2990 

91 
9a 

94 

95 
96 
97 
98 
99 

3ooo 
01 
oa 
o3 
o4 

o5 
06 

07 
08 
09 

3o  10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

19 

30  90 
31 

aa 
a3 

24 

25 

26 

27 

a8 
29 

3o3o 
3i 
3a 
33 

34 

35 
36 

37 
38 


39 


0      12      3 


5     6     7     8     9 


474  2163 
3620 
5076 
6533 
7988 

•  9443 

475  0898 

2352 

38o6 
5259 

6712 

8164 

*  9616 

476  1067 
25i8 

3968 
5418 
6867 
83i6 

#  9765 

477  12X3 
2660 
4107 
5553 
6999 

8445 

#  9890 

478  1 334 
2778 
4222 

5665 
7108 
855o 

479  i4 

2873 
43i3 
5753 
719a 


a3o8 
3765 

5222 
6678 

8i34 

958 

io4 

2498 

3951 

5404 

6857 
83o9 
9761 

1212 

2663 

4ii3 
5563 
7012 
846i 
9909 

1 357 
2805 
4252 
5698 
7144 


2454 
3911 
5368 
6824 
8279 

9734 
1 189 
2643 
4o< 
55* 


2600 

4o57 

55i3 

696. 

842: 


7002 
8455 
9906 
ij57 
2808 

4258 
5708 
7157 
8606 
♦o54 

i5o2 
2949 
4396 
5843 
7288 


863 

4800069 
i5o7 
2945 
4j8i 
58i8 

7254 
8689 
481  0124 
1550 
2993 


4426  4570 


8589  8734 

♦o34 

1 4? 
292 

4366 

5809 
7252 
8694 
♦  i35 

1577 


3oi7 

4457 
5897 
7336 
8775 

02l3 

i65r 
3o88 
4525 
5961 


73c 

88: 

0268 

1702 

3i36 


5859 

729a 

»  8724 

482  Of  56 

1 587 
3oi8 
4448 
5878 
7307 


6oo3 
7435 
8867 
02 


1730 
3i6i 
4591 
60a  I 
745o 


0179 
1623 
3067 
45ii 

5o54 
7396 
8838 
0280 
1731 

3i6i 
4601 
604 1 
7480 
8919 

o357 
rf 

3232 

4669 

6io5 

7541 
8976 
o4ii 
1 846 
3279 

47i3 
6146 
7578 
9010 
2 


99044 


9880 
1 334 
2788 
4242 
5695 

7148 
8600 
♦o5i 
i5o2 
2953 

44o3 
5853 
73o2 
8751 
0199 

1647 
3094 
4541 
5987 
7433 

8878 
o323 
1768 

32II 

4655 

6098 
7540 
8982 
0424 
i865 

33o5 

4745 
6i85 
7624 
9063 

o5oi 
1939 
3376 
4812 
6a49 

7684 
9120 
o555 

342? 


4856 
6289 
7722 
9154 
o585 

2016 

3447 
4877 

63o7 

7736 


2746 
4202 
5650 
7ii5 
8570 

♦025 
1480 
2934 
4387 
584o 

7293 
8745 
0196 
i648 
3098 

4548 
5998 

7447 
8896 

o344 

1702 
3239 
4686 
6i3a 
7578 

9oa3 

o468 

la 

56 

4799 
6242 
7684 
9126 
o568 
2009 

3449 

4889 

6329 
7768 
9207 

0645 
2082 
35x0 

6392 
7828 

9263 

0608 

2l32 

3566 

5ooo 
6432 
7865 
9297 
0728 

2x59 
3590 
5o2o 
6449 
7879 


2891 

4348 
58o5 
7260 


3o37 

4494 
5950 
74o6 


3x83 


8716  8861 


0171 
1625 

3079 
4533 
5986 

7438 
8890 
0342 
1793 
3243 

4693 
6x43 
7592 
9041 
0489 

1936 
3383 
483o 
6276 

7722 

9167 
0612 
2o56 
35oo 
4943 

6386 
7829 
927X 
0712 
2i53 

3593 
5o33 

6473 
7912 
9j5o 

0788 
2226 
3663 
5ioo 
6536 

7972 
9407 
0842 
2276 
3710 


5i43 
6576 
8008 
9440 
0871 

2302 
3733 

5x63 
6592 
8021 


Nnm. 


0 


1873 

33o4 
4734 
6x64 
7593 

234    56789 


o3i6 

X77X 

3225 

4678 

6i3x 

7583 
9035 
0487 
1938 
3388 

4838 
6288 
7737 
9185 
o633 

3o8i 
3528 

4975 
6421 
7867 

9312 

0757 
220X 
3645 
5o88 

653 1 
7973 
94i5 
o856 
2297 

3737 
5x77 
66x7 
8o56 
9494 

0932 
3370 
38o7 
5243 
6679 


6096 
7552 
9007 

0462 

3370 
4823 
6276 

7729 
9180 
o632 
2o83 
3533 

4983 
6433 
7882 
9330 
0778 

2226 
3673 
51x9 
6566 
801 1 

9456 
0901 
2345 
3789 

5232 

6675 
81x7 

9559 
1000 

2441 

388 1 
5321 
6761 
8200 
9638 


3328 


46394785 


6241 

7697 
9x32 

0607 
2061 
35x5 
4969 
6421 

7874 
9326 
0777 
2228 
3678 

5x28 
6578 
8027 
9475 
0923 

2371 
38x8 
5264 
67x0 
81 56 

960X 
1045 
2490 
3933 
5376 

6819 
826X 
9703 
1144 
2585 

4o25 
5465 
6906 
8343 
9782 


8ix5 

9550 

0985 

241 

385 


5286 
6719 
8x5i 
9583 
ioi5 

2445 
3876 
53o6 
6735 
8x64 


1076 
25x3 
3950 
5387 
6823 


8259 
9694 
1x28 
2563 
3996 

5429 
6862 
8295 
9726 
ii58 

2589 
40x9 

5449 
6878 
83o7 


1220 

2657 

4094 

553 

6967 

84o2 

9837 

X272 
2706 
4i4o 

5573 
7005 
8438 
9869 
i3oi 

2732 
4162 
5592 
7021 
845o 


3474 
4931 
6387 
7843 
9298 

0753 
2207 
366i 
5ix4 
6567 

8019 

9471 
0922 
2373 
3823 

5273 
6723 
8x71 
9620 
1068 

25x5 
3962 
5409 
6855 
83oo 

9745 
X190 
2634 
4078 
5521 

6963 
84o5 

9847 
X288 
2729 

4169 
5609 

7048 
8487 
9926 

x363 
2801 
4238 

5674 
7110 

8546 
9981 
i4i5 
2849 
4283 

5716 
7149 
858i 
♦oi3 
1444 

2875 
43o5 
5735 
7x64 
8593 


Dim 


i45 


i44 


143 


Die 


Diif.  &  Mult 


I 

2 

3 

4 
5 
6 

7 
8 

9 


I 

2 
3 

4 
5 
6 

7 
8 

9 


1 46 
392 
438 

584 

73o 

876 

1022 

1168 

i3i4 


I 

145 

2 

3 

290 

435 

4 

58o 

5 

725 

6 

870 

7 

ioi5 

8 

1160 

9 

x3o5 

I 

i44 

2 

a88 

3 

432 

4 

576 

5 

720 

6 

864 

7 

1008 

8 

iiSa 

9 

1296 

143 

a86 
429 
57a 
7i5 
858 

lOOI 

1144 
1287 


I 

i4a 

a 

284 

3 

426 

4 

568 

5 

710 

6 

853 

7 
8 

,^ 

9 

1378 

Dim^Miitt.  1 

I 


I  I 

i 


vi 


38 


LOGAEITHMS  OF  NUMBERS. 


M40 
4 1 

4a 

44 

48 

49 

»jO  ■•10 

5i 

53 

54 

■56 

58 

5^ 

3o6o' 
6i 
6a 
63 

Uftf. 

65 

66 

67 
68 
69 

3070 

72 
73 
74 

75 
76 

77 

78 

79 

3o80' 
81 
89 
83 
84 

85 
86 

87 
88 
89 

3090 

9a 
93 

98 

99 


01234         56789 


483  0164 
1593 

444^ 

5873 
7299 

•  8725 

484  01 5o 
1574 

2998 
44'i2 

5845 
7268 
8690 

485  01 1 2 
1 533 

3954 
4375 
5795 

7214 

8633 

486oo52 

1470 
2888 


87368879 


43o5 

5723 
71 38 
8554 

•  9969 

487 1384 

2798' 

4313 
5626 
7039 

845 1 
•  9863 

488  1 275 
2686 

4097 

55o7 
6917 
8326 

•  9735 
4891144 


o3o7 
1735 
3 1 62 
4589 

6016 

8867 

0392 

1717 

3i4i 
4564 
5988 
74  to 
8833 

0354 
1 676 
3096 

45i7 

5937 


9023:9164 
0450.0593 
18782020 
33o5  3448 


4732 


48745017 


6i5863oi 

7584  7727 
9010  9153 

0435  o577' 
1859 


3383 

4707 
6i3o 
7553 
8975 

0396 
1818 

3339 


2002 

34  a6 

4849499 
6373 
7695 
91 17 


0539 

i960 

338i 

46594801 

60796321 


7356 
8775 
0194 
161 3 
3029 

4446 
5863 

737< 
869^ 
♦110 

2940 

4J53 

5767 
7180 


■M'lJP'iiiJ'  -m 

s 

©773 
8179 

»  9585 

4900090 

2S95 

52o3 

6607 

8010 

♦  9412 

491  0814 

2216 


8592 
*oo4 
i4i6 

2827 
4a38 

5648 

7o58 
8467 
9876 
1285 


7498 
8917 
o336 

1754 
3171 

4588 
6oo5 

4721 
8837 
0252 

1667 
3o8i 

4495 
S908 
7321 


9307 
0735 
3i63 
3590 


6443 
7869 
9295 
0720 

3568 
I 

64 14 

7837 
9359 


8734 
01 46 
i557 
3968 
4379 

5789 
8608 


7640 
9059 
0477 
1895 
33i3 

473o 
6146 
7563 
8078 
0393 

1808 

3232 

4636 
6o5o 
7463 


8875 
0387 
1698 
3109 
4530 

593© 

7340 
8749 


♦0170158 
i4a5  i566 


3692 
4100 

6014 

8330 

9735 
I  i3i 
3535 
3q4o 

5343 

6747  6887 
8i5o 
9553 
0954 


3833 

4241 
5648 
7054 
846o 

9866 
1271 
2676 


9693 
1094 
3496 


3974 
4J8i 
5788 
7195 
86of 

♦006 

i4l3 

3816 


4o8o  4220 
5484  5624 

7027 

8290J8430 

"  "9833 

1235 

2636 


0681 

3I03 

3533 
4943 
6363 

7782 
9301 
0619 
3o37 
3455 

487a 
6288 

7704 
9130 
o535 

io5o 

>5<jo4 

4778 
6191 

7604 

9016 
0438 
1839 
335i 
4661 

6071 
748 1 
8890 
0399 

J  707 

3ii5 

4522 

7335 

8741 

0147 
i553 

3957 

436i 

5765 

7168 

8571 

1375 
3776 


94  5o 
0878 
23o6 
3733 
5i6o 

6586 
8012 

9437 
0862 
2286 

3710 
5i34 
6557 

7979 
9401 

0823 

2344 
3665 
5o85 
65o5 


9593 
1021 

a449 
3876 

53o2 

6729 
8i54 
9580 
1004 


24292571 


3853 
5276 
6699 

8l3I 

9543 

0965 

3386 
3807 
5227 


9736 
1 164 
3591 
4oi8 

6871 
8297 
9722 
1147 


3995 
5418 
684 1 
8264 
9686 

1107 
3538 


0761 
2179 

3596 

5oi3 


7846 
9261 
0676 


66476788 


8066 
9484 
ooo3 

3d3l 

3738 


5i55 
64306571 
7987 
94o3 
0818 


2091  2332 

35o5  3647 
49195060 
6332  6473 
7745  7886 


9157 
0569 
1981 
3393 
48o3 

6212 

7623 
•9031 

o44o 
i848 

3256 
4663 
6070 
7476 
8883 

0387 
1693 
3097 
45oi 
5905 

73o8 
871 1 
«ii3 
i5i5 
2916 


9999 

0710 

2123 

3533 
4943 

6353 
7763 
9172 
o58o 
1989 

3396 

48o4 
6210 
7617 
9023 

0438 
1 833 
3338 
4643 
6045 

7448 
885 1 
0353 
1 655 
3o57 


8208 
9636 

1045 
2463 
388o 

5297 
6713 
8139 

9544 
0959 

2374 
3788 

5303 

66i5 

8037 

9440 
o853 

3363 

3674 
5o84 


9879 
1 307 
3734 
4i6i 
5588 

7014 
8439 
9865 
1389 
2714 

4i37 
556 1 
6984 
8406 
9838 

1249 
3670 
4091 
55ii 
6930 

835o 
9768 
1186 
2604 
4021 

5438 
6855 
8370 
9686 


♦021 

1449 

2877 
43o4 
5730 

7i56 
8582 
♦007 
1432 
2856 

4380 
5703 
7126 
8548 
9970 

1391 
3813 
4233 
5653 
7072 


IIOI 

35i5 
3929 
5343 


6494 
7004 
93i3 
0731 
3139 

3537 

4944 
635i 

7757 
9163 

o56o 
1973 
3378 
4783 
6186 


8491 
9910 
1 328 
3746 
4i63 

558o 
6996 
84i2 
9837 
1242 

2657 
4071 
5484 


67566897 
81698310 


9581 
0993 
2404 
38i5 

5225 


7589 
8091 
OJ94 

1795 

3197 


6635 
8045 

9454 
0862 
2270  341 1 


9722 
ii34 
2545 
3956 
5366 

6776 
8i85 
9594 
ioo3 


3678 
5o85 
6493 
7898 
9304 

0709 

31l4 

35i8 
4922 
6326 

7729 
9133 
o534 
io35 


38i8 
5226 
6632 
eo38 
o444 

o85o 
2254 
3659 
5o63 
6466 

7869 
9272 
0674 
3076 


3337I3477 


Ml 


01234        56789 


Die 


14a 


l4l 


i 


DiC 


DiC  4b  Mull. 


1 
2 
3 

4 

5 

6 

7 
8 

9 


143 
286 
429 
572 
7i5 
858 
1001 

ii44 
1287 


I 

142 

2 

a84 

3 

436 

4 

568 

5 

710 

6 

852 

7 
8 

.?^ 

9 

1278 

* 

LOGARITHMS  OF  NUMBERS. 


39 


Num. 
3100 

Of 

03 

o3 
o4 

o5 
06 
07 
08 
09 

3i  10 
II 
12 

i3 
i4 

i5 

j6 

n 
18 

»9 

3r  20 
21 
22 

23 

*4 

25 

26 
27 
28 
29 

3 1  3o 
3i 

32 

33 
34 

35 

36 

37 
38 
39 

3i  4o 

4i 
43 
43 
44 

45 

46 

47 
48 

49 

3 1  5() 
5i 

53 

53 
54 

55 
56 

57 
58 

59 

Nam. 


01234        56789 


4913617 
5oi8 
64i8 
7818 

#  9317 

492  0616 

30l5 

34 1 3 
48 10 
6207 

7604 

#  9000 

493  0396 
1701 
3i86 

458i 

5974 
7368 

#  8761 
4940154 

1 546 
2038 
4329 
5720 
71J0 

85oo 

#  9890 
495  1279 

2667 
4o56 

5443 
683 1 
8318 

#  9604 
4960990 

2375 
3761 
5i45 
652 


!! 


79 

#  9296 

497  0679 
3062 

3444 
4835 

6206 

7587 

#  8967 

498  o347 
1737 

3io6 

4484 
5862 
7240 
8617 

#  9994 
4991370 

2746 

4l3I 

5496 


3757 
5i58 
6558 
7058 
9357 

0756 
2i54 
3552 
4950 
6347 

7744 
9140 
o535 
1931 
3326 

4730 
6114 
7507 
8900 
0393 

i685 

3o77 
4468 
5859 
7249 

8639 
♦029 
i4i8 
2806 
4194 

5582 
6969 
8356 
9743 

II38 

35i4 
3899 
5284 
6668 
8o52 

9435 
0818 
3  200 
3583 
4964 

6345 
7725 
9105 
o485 
i865 

3343 
4623 
6000 

7377 
8755 

♦  i3i 

i5o8 
2883 
4359 
5634 


3897 
529b 
6698 
8098 
9497 

0896 
3294 
3692 
5090 
6487 

7883 
9270 
0675 
2070 
3465 

4859 
6253 

7647 
9040 
0433 

1824 

3216 

4607 

59c 

7^88 

8778 
0168 
1 557 
3945 
4J33 

5721 

7108 
8495 
9881 
1267 

2653 
4o38 
5422 
6806 
8190 

9573 
0956 
2338 
3720 

5l02 

6483 
7863 
9243 
0623 

3003 

338 1 
4760 
61 38 
75i5 
8892 

0369 
1645 
3o3i 

4396 

5771 


4o37 
5438 
6838 
8338 
9637 

io36 

2434 
3832 
5229 
6626 


8033 

941 

08 

32IO 

36o4 


[19 
k5 


4999 
6393 
7786 
9179 
0571 

T964 
3355 
4746 
61 37 

7527 

8017 
o3o7 
1695 
3o84 
4472 

586o 

7247 
8634 

♦030 

i4o6 

2791 
4176 
556o 
6945 
8328 

971 1 
1094 
3476 
3858 
5340 

6621 
8001 
9381 
0761 

2l4o 

3519 

4897 
6275 

7653 
9o3o 

o4o7 
1783 
3i58 
4534 
5909 


4177 
5578 
6978 
8378 

9777 

1175 

2574 
3973 
5369 
6766 

8162 
9558 
54 
49 
3744 

5i38 
6533 
7935 
9318 
071 1 

3io3 

3494 
4885 
6376 
7666 

9056 
0445 
1 834 

3333 

46ii 

^s 

877a 
01 58 
i544 

3930 
43i4 
5699 
7o83 
8467 

9850 

1333 

361 5 
3996 

5378 

6759 
8139 
9519 

0899 
2278 

3657 
5o35 
64i3 
7791 

9168 

o544 
1920 
3296 

4671 
6o46 


4317 
5718 
7118 
85i7 
9917 

i3i5 

2714 
4iii 
5509 
6906 

83o2 
9698 
1094 
3489 
3883 

5378 
6671 
8o65 
9457 
o85o 

2343 
3633 
5o24 
64i5 
7805 


o5 
1073 
3363 
4750 

6i37 
7534 
891 1 
0397 
i683 

3o68 
4453 
5837 
7231 
86o5 

9988 
1371 
2753 
4i35 
55i6 

6897 
8277 
9657 
io37 
2416 

3795 
5173 
655i 
7928 
93o5 

0682 
2o58 
3434 


4457 
5858 
7258 
8657 
♦057 

1455 
2853 
425i 
5648 
7045 

8442 
9838 
1233 
2628 
4o23 

5417 
68ii 

8204 
9507 

0989 

238 1 

3773 
5i64 
6554 
7944 

9334 
0723 

2113 

35oo 
4888 

6276 
7663 
9049 
o436 
1831 

3207 
4591 
5976 
736o 
8743 

♦126 
i5o9 
2891 

4273 
5654 

7035 
84i5 
9795 
1 175 
3554 

3933 
53ii 
6689 
8066 
9443 

0819 
3196 
3571 


48o914q46 
6i84.632i 


4597 
5998 
7398 
8797 
0196 

1595 
2093 
4391 

5788 
7185 

858 1 

2768 
4162 

5556 
6950 
8343 
9736 

1138 

2530 
3912 

53o3 
6693 
8o83 

9473 
0863 

225l 

3639 
5027 

64x5 
7802 
9188 
0574 
i960 

3345 
473o 
6114 
7498 
8882 

0265 

1647 
3029 

44ii 
5793 

7173 
8553 
9933 
i3i3 
2692 

4071 

5449 
6826 

8204 
9581 

0957 
2333 
3709 
5o84 


4738 
61 38 
7538 
8937 
o336 

1735 
3i33 
453 1 
5928 
7335 

8721 
♦  117 

l5l2 

2007 
43o2 

5^ 

7' 
8483 
9875 
1368 

3659 
4o5i 
5443 
6832 
8333 

9613 

1001 
3390 
3778 
5i66 

6553 
7940 
9327 
0713 
3098 

3484 
4868 
6253 
7636 

9030 

o4o3 
1785 
3167 

4549 
5930 

73ii 
8691 
♦071 
i45i 
283o 

4308 
5587 
6964 
834 1 
9718 

1095 
2471 
3846 

5221 


4878 
6278 
7678 

9077 
0476 

1875 
3373 
4670 
6068 

7464 

8861 
0356 
i653 
3o47 
4441 

5835 
7329 
8622 
♦01 5 
1407 

3799 
4190 
558i 
6971 
836i 

975i 
ii4o 
3539 
3917 
53o5 

6693 
8079 
9465 
o85i 
3237 

3623 
5oo7 
6391 
7775 
91 58 

o54i 
1924 
33o6 
4687 
6068 

7449 
8839 
0309 
1589 
396§ 

4346 

5724 
7102 

8479 
9856 

1232 
3608 
3984 
5359 


64596596I6733 


01234         56789 


DiC 


i4o 


139 


1 38 


Diff. 


Difl*.  Sc  Molt. 


I 
2 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 


I 
2 
3 

4 
5 
6 

7 
8 


1 40 
280 
420 
56o 
700 
84o 
980 
1 1 20 
1260 


139 

278 

417 
556 
695 
834 
973 

III3 
I25l 


1 38 

276 

4i4 
55a 
690 
828 
966 
iio4 
1 24a 


i37 

274 

4" 
548 
685 

832 

959 

^^ 
1233 


I 


Diif.&  Mult. 


li 


II' 


•t 


LOGARITHMS  OP  NUMBERS 


Num. 


0      12      3     4 


499  6871  i70o8[7i46}7a83 


8a45 
It  9619 

a365 


H38a85ao«657 

9756  98^3  #031 

12671404 

2639  2777 


1129 

2502 


3874 

5246 
6618 

7989 


81268263 
9359^969634 

07300867  1004 
2236  2373 
3743 
5iii 


4oia4i494a86 
5383  5521    — 

6755  68^: 


4271 

7002 
8366 

♦   973i 

5o3  1094 
2458 
3831 
5r83 
6545 


6069  6206  6343  648o  661 7 

77" 
9078 

0446 

1812 

3178 


3(34^ 

44oS4S44 


7029 
8400 

9771 

ii4i 
a5io 
3870 
5240 


79078043 

#  92689404 

504  0629  **7^5 
19892125 

33493485 

47094845 
60686204 

7426  7562 

•  87858920 

505  0142  0278 

i5oo  i635 

2857 
42 1 3 
5560 

693$ 


8776  891 2 
01400276 

i367  i5o3 
2730  2867 
4093  4229 
5456  5502 
68186954 

8179831 5  8451 

954096769812 
0901  1037  1173 
2261  2397  2533 
3621  3757  3893 

5ti6 
6475 

7834 


4980 
6339 

-M 

9o56 
o4i4 


1771 
3i28 
4485 
584 1 
7196 

828o84i6855i 


5252 

6611 

7970 
9328 

o685 


•  9635 
5060090 

3344 
3697 

5o5o 
64o3 
7755 

•  9107 
5070459 


977' 

II  25 

2479 

5i86 

6538 

789  T 

924i 
0594 

1945 

3295 


I8I0 
3i6o 

45ii|4646478i 
58605995  61 3o 

7aio|7345|748o 


9906 
1260 

3614 
3968 

5321 

6674 
8026 
9378 


2080 
343o 


o55o 

1907 
3264 
4620 
5076 
7332 

8687 
♦042 
i3a6 
2750 
4io3 


5456  5591 
68096944 
8161  ~ 
95 1 3 


5  6   7 


7421 
8794 
0168 
1 541 
2914 


8296 

9648 

0729108640999 


22l5 

3566 
4916 
6265 

7614 


235o 
3701 
5o5i 
64oo 

7749 


7558 
8o32 
oJo5 
1678 
3o5i 

4423 
5795 
7166 
8537 
9908 

1278 
2647 
4016 
5385 
6753 

8121  8258 
94899625 

o856ogQ2 

2222 

3588 


7695783370708108 
906^     ■ '   '" 

0443 
1816 
3i88 

456o 
593  a 
73o3 
8674 
♦045 


9344 
0717 
2090 
3463 

4835 
6206 


74407578 
881 1  8948 


4954 
63i9 

7684 


2359 
3725 

5091 

6456 
7821 


4200 
56§9 

7027 

83o5 
9762 

2495 
386i 


9481 
o855 
2227 
36oo 

497a 
6344 

7715 
9085 
o456 


90499185 
o4i3  0549 

1776  1912  2049 
31393276  341 2 

45o2  4638  4774 
5864  60006137 
7226  736a  7498 

858?  8724 
9048  ^085 
13091445  1 58i 
2669  a8o5  aa4i 
402941654301 


2i85 
3548 
491 1 
6273 
7635 

88608006 
0221  OJ57 


5388  5524 
6747  6883 


8106 
9464 
0821 

2178 

4891 

6247 
7603 


8241 
9509 

0957 


566o 
7019 

8377 
9735 
1093 

a45o 
38o6 
5i63 

65i8 

7874 


9229 
o583 


8567 
9918 
1269 

2485  2620 
3836  3071 
5i86  5j2i 
6535  6670 
78848019 


45o9|4644 

5862 
7214 


Num. 


0   12   3  4 


735o 
8702 
♦o53 
i4o5 

2755 

4io6 
5456 
68o5 
81 54 


80098145 

93649500 
07190854 
2073  2208 
3426  3562 
4780 

6i33 

7485 
8837 
0188 
1 540 


5  6   7  8  9 


DiflT.       DiCAtMult. 


137 


i36 


i35 


Diff. 


1 

137 

3 

374 

3 

4ii 

4 

548 

5 

685 

6 

833 

7 

959 

8 

1096 

9 

1233 

I 

i36 

3 

373 

3 

408 

4 

544 

5 

680 

6 

816 

7 

953 

8 

1088 

9 

1334 

I 

i35 

3 

370 

3 

4o5 

4 

540 

5 

675 

6 

810 

7 

945 

8 

1080 

9 

I2l5 

LOGARITHMS     OF     NUMBERS. 


41 


Biff.  k.  Matt. 


Nitin. 

3220 

21 
22 

23 

24 

25 

26 

27 

38 

29 

32  3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

3240 

4i 
42 
43 
44 

45 
46 

47 
48 

49 

32  5o 
5i 

52 

53 
54 

55 

56 

57 
58 
59 

3260 
61 
62 
63 
64 

65 
66 

67 
68 

69 

32  70 
71 

72 
73 
74 

75 
76 

77 
78 

79 

Num. 


0      12      3      4 


607  855918694 
#   9907 
5o8  1255 

2603 

3950 


5297 

6644 

#  9335 
5090680 

2025 

3370 

4714 
6057 
7400 

8743 
5iooo85 
1427 
2768 
4109 

545o 

6790 

81 3o 

»  9469 

5iio8o8 

2147 
3485 
4823 
6160 
7497 

#  8834 
5i2  0170 

i5o5 
2841 
4175 

55io 

6844 
8178 

#  95ii 
5i3o844 

2176 
35o8 
484o 
6171 
75o2 

#  8832 
5i4oi62 

1 491 
2820 

4x49 

5478 
68o5 
8i33 

#  9460 
5150787 


♦042 
1390 
2738 
4o85 

5432 
6778 
8124 
9470 
o8i5 

2160 
35o4 
4848 
6191 
7534 

8877 
0219 

i56i 

2903 

4244 

5584 
6954 
8264 
9603 
0942 

2281 
3619 
4957 
6294 
763 

o3o3 
1639 
2074 
4309 

5643 
6977 
83ii 

9644 
0977 

23o9 
364i 
4Q73 
63o4 
7635 

8965 
0295 
1624 
2953 
4282 

56io 
6938 
8266 
9593 
0919 


8828 
0177 
i525 
2873 
4220 

5567 
6913 
8259 
9604 
0949 

2294 
3638 
4982 
6326 
7669 

9011 

o354 

165 

3oJ7 

4378 


2Il3 

3439 

4764 
6089 

74i4 


2246 
3571 
4897 
6222 

7547 


5718 
7o58 
83q8 
9737 
1076 

24i5 
3753 
5090 
6428 

7764 

9101 
0437 

1772 
3io8 
4442 

5777 
7111 
8444 

9777 
mo 

2442 

3774 
5io6 
6437 

7768 

9098 
0428 
1757 
3o86 
44i5 

5743 
7071 
8398 
9725 
io52 

2378 
3704 

5029 

6354 
7679 


8963 
o3i2 
1660 

3007 

4354 

5701 

7047 
83o3 
9739 
1084 

2429 

3773 
5117 
646o 
7803 

9146 
o488 
1829 
3i7i 
45i2 

5852 
7192 
8532 
9871 
1210 

2548 
3887 
5224 
656i 
7898 

9234 
0570 
1906 
324 1 
4576 

5910 
7244 
8578 
991 1 
1243 

2576 
3908 
5239 
6570 
7901 

9231 
o56i 
1890 
3219 
4548 

5876 
7204 
853 1 
9858 
1x85 

25ll 

3837 
5162 

6487 
781 1 


9098 

0447 
1794 

3x42 

4489 

5836 
7182 
8528 
9873 

12l8 

2563 
3907 
SaSi 
6594 

7937 

9280 
0622 
1964 
33o5 
4646 

5986 
7326 
8666 
♦oo5 
1 344 

2682 

4020 

5358 

;5 

8o32 

9368 
0704 

204o 

3375 
4709 

6044 

7377 
871 1 
♦044 
1377 

2709 
4o4i 
5372 
6703 
8o34 

9364 
0694 
2023 
3352 
468i 

6009 
7336 
8664 
909X 
i3x7 

2643 
3969 
5294 
6619 
7944 


5  6  7  8  9 

9233 

o58x 


1929 

3277 
4624 

5070 
73x7 
8663 
♦008 
x353 

2697 
4042 
5385 
6729 
8072 


9368 
0716 
2064 
34x1 
4758 

6xo5 
745i 
8797 
0142 
x487 

2832 

4176 

5520 
6863 
8206 


94149548 
0756,0890 
209812232 
34393573 
47804914 

61206254 

74607594 

8800 

0139 

1478 


28x6 
4x54 
5492 
6829 
8x65 

9502 
o838 
2x73 
35o8 
4843 

6177 
75ii 

8844 
0177 
i5io 

2842 

4174 
55o5 
6836 
8167 

9497 

0827 

2i56 
3485 
48x3 

6142 

7469 
8797 

♦  123 

i45o 
2776 

4l02 

5427 

6752 

8076 


8934 

0273 
1612 

2950 

4288 

5625 
6962 
8299 

9635 
0071 
23o7 
3642 
4976 

63io 

7644 
8078 
o3ii 
1643 

2075 
4307 
5638 


9630 
0960 
2289 
36x8 
4946 

6274 
7602 
8929 
02  56 
1 583 


95o3 
o85x 
2199 
3546 
4893 

6240 

7586 
8932 
0277 
1622 

2966 
43io 
5654 

834o 

9682 
1024 
2366 

3707 
5o48 

6388 
7728 
9068 
0407 
1745 

3o84 
4422 
5759 
7006 
84i3 

976 

XIO 

2440 

3775 

5iio 

6444 

7778 
9x11 

0444 
1776 

3xo8 
4440 

577  X 
7102 
8433 

9763 
1093 
2422 
3751 
5079 

6407 

7735 

9062 

o38< 

171! 


9638 
0986 
2334 
368x 
5028 

6374 
7720 
9066 
o4xi 
1756 

3ioi 
4445 
5788 
7x32 
8474 

98x7 
X159 
25oo 
384x 
5182 

6522 

7862 

9202 
o54i 
1879 

32x8 
4555 
58o3 
723o 
8566 

9903 
X238 
2574 

6577 
791 X 
9244 
0577 


2909 
4234 
556o 
6884 


8209834 


9772 
1121 
2468 
38x6 
5i63 

65o9 
7855 
920X 
o546 
1 891 

3235 
4570 
5923 
7266 
8609 

9951 
1293 
2634 

3075 
53x6 

6656 

7< 

0675 

20l3 

335 1 
4689 
6026 
7363 
8700 

♦o36 
1372 
2707 
4042 

5377 

671 1 

8044 

9377 
0710 


1910  2043 


3o4x 

4367 
5692 
7017 


3242 
4573 
5905 
7235 
8566 

9896 

1225 

2555 
3883 

52X2 

654o 
7867 
9x95 
o52i 
i848 

3i74 

7x49 
847418606 


3375 
4706 

6o38 
7368 
8699 

♦029 
i358 
2688 
4oi6 
5345 

6673 
8000 
9327 
o654 
X980 

33o6 
4632 
5957 
7283 


DiflT. 


01234        56789 

6 


i34 


Diff.  k.  Mult 


l33 


i35 


2 

370 

3 

4o5 

4 

540 

5 

675 

6 

810 

7 

945 

8 

1080 

9 

12l5 

I 

3 

3 

4 
5 
6 

7 
8 

9 


Diff. 


I 
3 

3 

4 
5 
6 

7 
8 

9 


i34 
268 
402 
536 
670 
804 
938 
1072 
1206 


1 33 

266 

3 

5 

665 


1064 
1197 


I 

l33 

2 

364 

3 

396 

4 

528 

5 

660 

6 

79a 

7 

924 

8 

io56 

9 

1188 

Diff.  &  Molt. 


42 


LOGARITHMS  OP  NUMBERS 


Num. 

8380 
8i 
8a 

83 
84' 

85 
86 

87 
88 
89 

3390 
91 
92 

93 

r* 

95 
90 

97 
98 

99 

33  00 
01 

02 
o3 

od 

o5 
06 
■07 
08 
09 

33 10 
II 

i3 

i4 

i5 

16 

17 
18 
19 

33  ao 
a  I 
12 

23 

M 

aS 
a§ 

37 

39 

3 1 

33 

34 

36 

37 
38 
39 


0      12      3      4 


5      6      7     8      9     1 


Die 


»15  8738 

5i6oo6a 

1386 

2700 

403T 

5354 
6676 

7997 

•  9318 

5r7o639 

'959 

3279 

4598 
5917 
7236 

8554 

•  987a 
5181189 

a5o7 
3823 

5 1 39 

6455 
7771 

•  9086 
5190400 

1715 

3oa8 
4342 
5655 

83S0 

•'  959a 

Sao  0903 

3ai4 

35a5 


8871 
0195 
i5i8 
2841 
4164 

5486 
6808 
8129 
9450958 


7916 

•  9333 

5aa  o528 

i833 

3 1 38 

4442 
5746 
7o5o 
8353 


523  0958 
2260 
3562 


0771 

2091 
3411 

473o 
6049 
7368 

8686 
♦004 

1 321 

a638 
3955 

5271 
6587 
7902 
9217 
o532 

i846 
3i6o 
4473 
5786 
7099 

84ii 
9733 
io34 
2345 
3656 


9<X)3 
6337 
i65o 
2973 
4396 

56i8 
6940 
8261 
2 
0903 


7586 
8895 
oao3 

l5l3 

2820 
4127 
5434 
6741 

8o47 
9353 


1964 
3268 

4573 

5877 
7180 
8483 


4966 

62766407 


2223 
3543 
4862 
6181 

75oo 

8818 
01 36 
1453 

2770 
4086 

54o3 
6718 
8034 
9340 
066J 

1977 
3291 
46o5 
5918 
7a3o 

8542 
9854 
1166 

2477 
3787 

5097 


91 36 
0459 
1783 
3io6 
4438 

5750 

7072 
8393 
9714 
io35 

2355 

3675 
4994 
63 13 
763 1 


7717 
9026 
o334 

1642 

2950 
4258 

6871 

8178 
9484 


0659  0789  09: 


9656  9786 


1089 
2391 
3692 


48634993 

6i64!6294 


0267 
r585 


9268 
059a 
1915 
3238 
456o 

5883 

7204 
8526 
9846 
1 167 

2487 
3807 
5126 

6445 
7763 


89509081 


0399 

1716 


3902  3o33 
4a  1 8  435o 


5534 
685o 
8i65 
948096 


2094 
3399 

47o3 
6007 
73ii 
8614 
9916 

1219 

2521 
3822 

5i24 
6424 


0795 

2100 

342J 
4736 

6049 
7361 

8674 
9985 
1297 
2608 
3918 

5228 
6538 

7847 
91 56 
o465 

1773 
3o8i 
4388 
5695 
7002 

83o8 

9614 
20 

2225 
3529 

4834 
61 37 
744 1 
8744 
♦047 

1349 
265 1 
3952 
5254 
6554 


5666 
6981 
8297 
"12 
0926 

a  240 
3554 
4867 
6180 
7493 

88o5 
♦116 
i4a8 
2739 
4049 

5359 
6669 

7978 
9287 
0596 

1904 

3212 
4519 
5826 
7133 

8439 
9745 

io5o 
2355 
366o 

4964 
6268 

7571 
8874 
0177 

1 479 

2781 

4o83 
5384 
6684 


9400 
0724 

2047 
3370 
4693 

601 5 

8658 
9978 
1299 

2619 
3939 

If    jTO 

5a  5o 

6577 
7895 

9213 

o53i 

i848 
3 1 65 
4481 

5797 
7ii3 
8428 
9743 
io58 

2372 
3685 
^|99 

7624 


9533 
0856 
2180 
35o2 
4825 

6i47 

7469 
8790 

♦  III 

i43i 

2751 

4071 
^390 

(1709 
8027 

9345 

t>663 
1980 

3297 
461 3 

5929 
7245 
8560 
9875 
1189 

25o3 
3817 
5i3t> 
6443 

7755 


0248 
1559 
2870 
4180 

5490 
6800 
8109 
9418 
0727 

2o35 
3343 
465o 
5957 
7263 

8570 
9875 
1181 
2486 


3790  392 


5094 
6398 
7702 
9005 
o3o7 

1609 
3911 
42i3 
55 14 
6814 


89369067 


0379 
1690 

3ooi 
43ii 

56ai 
6931 
8240 
9540 
o858 

2166 
3473 
4781 
6088 
7394 

8700 
♦006 
i3ii 
2616 


5225 

6529 
7832 
9135 
0437 

1740 
3o4i 
4343 

5644 
6945 


9665 
0089 

23l2 

3635 
4957 

6279 
7601 
8922 
0243 

i563 

2883 

4202 
5522 
68  4o 
8159 

9477 
0794 
2111 
3438 
4745 

6061 
7376 
8691 
♦006 

1 320 

2634 
3948 
5261 

6674 
7886 

9198 

o5io 
i8ai 
3i32 
4442 

5752 
7062 
8371 
9680 
0988 

2296 

36o4 
4911 
6218 
7525 

883 1 
oi36 
1442 
2747 
4o5i 

5355 
6659 
7962 
9265 
o568 

1870 
3172 

4473 
5774 
7075 


9798 

II3I 

2444 

3767 


508952 


64ii 

7733 
9054 
0375 
1695 

3oi5 
4334 
5654 
6972 
8291 

96*38 
0926 
2243 
35(x 
4876 

6192 
75o8 
8823 
0137 
1 453 

2766 
4079 
5392 
6705 
8018 

9329 
0641 
1952 
3363 
4573 

5883 
7193 
85o2 
9811 
1119 

2427 

3735 
5o42 
6349 
7655 

8961 
0267 
1572 
2877 
4i8i 

5486 


9930 
1253 

2577 
3899 


taa 


6543 

7865 
9186 
o5o7 
1837 

3i47 
4466 
5785 
7104 
8422 

9740 
io58 
2375 
3()92 
5oo8 

6324 

7639 

8954 
0269 
i583 

2897 
4211 
5534 
6836 
8149 

9461 

0772 
2o83 
3394 

4704 

6014 
7324 
8633 
994a 

125o 

2558 
3866 
5173 

6479 
7786 

909a 

0397 
1703 
3007 
43i2 

56i6 


6789  6920 
8093  8223 


9395 
0698 

3000 

33o2 
46o3 
5904 
7205 


9526 

0828 

21 3o 
3432 
4733 
6o34 
7335 


01234         56789 


Dill*,  k,  Mult. 


i3a 


i3i 


Diff. 


1 
a 
3 

4 
5 
6 

7 
8 


I 
2 

3 

4 
5 
6 

7 
8 


I 

3 

3 

4 
5 
6 

7 
8 


I 

2 
3 

4 
5 
6 

7 
8 


i33 

266 

^ 

665 

798 

93 1 

1064 

1197 


l32 

2(i4 
396 
5a8 
660 

792 

924 

io56 

1188 


i3i 
26a 
393 
524 
655 
786 
917 
io48 
1179 


i3o 
260 
390 
520 
65o 
780 
910 
io4o 
1170 


Dilf.  &.  Mult. 


LOGARITHMS     OF     NUMBERS. 


43 


Nnm. 

3340 

41 
42 
43 
44 

45 
46 

47 
48 

49 

33  5o 

5i 

52 

53 
54 

55 
56 

57 
58 

59 

3360 
61 
62 
63 
64 

65 
66 
67 
68 
69 

3370 

71 
72 
73 
74 

75 
76 

77 
78 

79 

33  80 
81 
82 
83 
84 

85 
86 
87 
88 
89 

33  90 
91 

93 
94 

95 
96 

9Z 
98 

99 
Num. 


01234         56789 


Dim 


533  7465 

8765 

5240064 

1 364 

2663 

3961 
5259 
6557 
7854 
»  9i5i 

525  o448 

1744 
3o4o 

4336 
563 1 

6925 

8220 

*  95i3 

5260807 

aioo 


3393 
4685 

5977 
7269 
856o 

#  9851 
527  ii4i 

243 1 
3721 
5oio 

%U 

#  8876 
5280163 

i45i 

2738 
4024 
53ii 
6596 
7882 

#  9167 
5290452 

1736 

3020 

43o4 

5587 
6870 
8i52 

»  9434 

530  0716 

'997 

3278 

4558 
5839 
7118 

8398 

#  9677 

53 1  0955 

2234 
35i2 


7595 
8895 
0194 
1494 

2793 

4091 
5389 

6687 

7984 
9281 

0578 

1874 
3170 
4465 
5760 

7o55 

834 

964 

0936 

2239 

3522 

48i4 
6106 

7398 


7725 
9025 
o324 
1624 
2922 

4221 
5519 

(S817 
8ii4 

94II 

0707 
2oo3 
3299 
4595 
5890 

7184 
8478 

9772 
1066 
2359 

365i 
4944 
6235 

7527 


8689  8818 


9980 
1270 
256o 
385o 
5i39 

6428 
7716 
9004 
0292 

1 579 

2866 
4i53 
5439 
6725 
8010 

o5»o 
1864 
3i48 
4432 

5715 

6 

82 

9562 

0844 

2125 
3406 

4686 
5967 
7246 

8526 
9805 
io83 

2362 

3639 


♦109 
1399 
2689 


6557 
7845 
9133 
0421 
1708 

5568 

6854 
8139 

9424 
0709 
1993 
3277 
456o 

5843 
7126 
84o8 
9690 
0972 

2253 

3534 

48i4 
6095 

7374 

8654 
9933 
1211 
2489 


7855 
91 55 
0454 
1753 
3o52 

435i 
5649 
6946 
8244 
9540 

0837 
2i33 
3429 

4724 
6019 

73i4 
8608 
9902 
1195 
2488 

3781 
5073 
6365 
7656 

8947 

0238 
1 528 
2818 
4108 
5397 

6686 

7974 
9262 
o55o 
i837 

3i24 
44io 

5i 


8267 


9552 
0837 
2121 
34o5 
4689 

5972 

7254 
8537 
9819 

IIOO 

238 1 
3662 
4943 
6223 
7502 

8782 
♦060 
1339 
3617 


3767 13895 


7985 
9285 
o584 
1 883 
3182 

448i 

5779 
7076 
8373 
9670 

0967 

2363 

3558 
4854 
61 48 

7443 

8737 
♦o3i 
1 324 
26j7 

3910 
5202 

6494 

7785 
9076 

o367 
1657 
2947 
4237 
5526 

68i4 
8io3 
9391 
0678 
1966 

3252 

4539 

5825 
7111 
8396 

9681 
0965 

225o 

3533 
4817 

6100 
7383 
8665 

9947 
1228 

3509 
3790 
5071 
635 1 
763o 

1467 

3745 

4o33 


8ii5 
941 5 
0714 

30l3 

33i2 

4610 
5908 
7206 
85o3 
9800 

1096 
2392 
3688 
4983 
6378 

7573 
8867 
0160 

1454 
2746 

4o39 
533 1 
6623 

7914 
9205 

0496 
1786 
3076 
4366 
5655 

6943 
8232 
9520 
0807 
3094 

338 

4668 

5954 

7239 

8525 

9809 
1094 
2378 
3662 
4945 

622 

75ii 

8793 

♦075 

i356 


8245 
9545 

0844 
2143 
3442 

4740 
6o38 
7336 
8633 
9929 

1226 
2522 

38i7 
5ii3 
6407 

7702 
8996 
0290 
1 583 
2876 

4i68 
5460 
6752 
8043 
9334 

0625 
1915 
32o5 
4494 
5783 

7072 
836o 
9648 
0936 

2223 

35io 

4796 
6082 

7368 
8653 

9938 

1223 
25o6 
3790 
5074 


2637 
3918 

6479 

7758 

9037 
o3i6 
1595 
2873 
4i5o 


5  6356 

-  7639 

8921 

0203 

i485 

2766 
4o46 
5327 
6607 
7886 


8375 
9675 

0974 
2273 
3572 

4870 
6168 
7465 
8762 
♦059 

i355 
265 1 

3947 
5242 

6537 

783 1 
9125 
0419 
1712 
3oo5 

4297 
5590 
6881 
8173 
9463 

0754 
2044 
3334 
4623 
5912 

7201 

8489 

9777 
io65 

2352 

3638 
4925 
62 1 1 
74q6 
8782 

♦066 
i35t 
2635 
3919 

5202 

6485 
7767 
9049 
o33i 
i6i3 

2894 

4174 
5455 

6734 
8oi4 


9165 

0444 
1722 
3ooi 
4278 


85o5 
9805 
1104 
24o3 
3702 

5ooo 
6298 
7595 
8892 
0189 

1 485 
2781 
4076 
5372 
6666 

7961 
9255 
()548 
i84i 
3i34 

4427 
5719 
7010 
83o2 
9593 

o883 
2173 
3463 
4752 
604 1 

733o 
8618 
9906 
1193 
2480 

3767 
5o53 
6330 
7625 
8910 

0195 

1479 
2763 

4047 

533o 

66i3 
7896 
9178 
0459 
1741 

3022 

43o2 
5583 
6862 


9293 

0572 
i85o 
3128 
4406 


8635 
9935 
1234 
2533 
383i 

5i3o 
6427 
7725 
9022 
o3i8 

i6i5 
2911 
4206 
55oi 
6796 

8090 
9384 
0678 
1971 
3264 

4556 
5848 
7140 
843 1 
9722 

1012 

2302 
3592 
4881 
6170 

7459 

8747 

♦o35 
i32a 
2609 

3896 
5182 
6468 

7753 
9039 

o323 
1608 
2892 
4175 
5458 

6741 
8024 
9306 
o588 
1869 

3i5o 
443o 
5711 
6990 


8142  8270 


9421 
0700 
1978 
3256 
4534 


0828 
2106 
3384 
4661 


i3o 


012      3     4        56789 


129 


DifT.  &  Mult. 


138 


I 
2 
3 

4 
5 
6 

7 
8 


I 

a 
3 
4 
5 
6 

7 
8 

9 


Diff. 


i3o 
a6o 
390 
5ao 
65o 
780 
910 
io4o 
1 170 


129 

a58 
387 
5i6 
645 

774 

903 

io3a 

1161 


I 

138 

2 

a56 

3 

384 

4 

5l3 

5 

64o 

6 

768 

7 

896 

8 

ioa4 

1 1 52 


I 

137 

3 

254 

3 

38i 

4 

5o8 

5 

635 

6 

76a 

7 

889 

lOIO 

8 

9 

1143 

1: 


l\' 


V. 


Diff.  ic  Mult. 


LOGARITHMS    OF    NUMBBES. 


Mitiii» 

3400 

oi 

oa 
o3 

o4 

o5 

'06 
err 

09 

t}i{  10 
It 

12 

1 3 
14 

i5 
16 
17 
18 
19 

34  ao 
ai 

a3 

J»4 

35 

a6 

a? 
afi 

29 

34  3o 
3i 
3a 

34 

35 
36 

37 

38' 

% 

344^ 
4i 
42 
43 

45 
46 
4? 
48 
49 

34  5o 
5i 

Sa 
53 
'^4 

55 

» 

58 
59 


0123     4        567S9 


S3I  4789,491 7 1 5o45 

606661946322 
7343J7471  7598^ 


86t9{ 
9896 


532  1171  1299 
a446  2574 
3721  3849 
4996  5ia3 

6270  6397 


7544 
8817 

2635 

3907 
5 1 79 
645o 

7721 
•  8991 

5340,6, 

i53i 
2800 
4o6o 
5338 


8747 

K023 


8875 
0151,0278 


7671 

8945 

0218 
i4oo 

2702 

4o34 
53o6 
6577 
7848 
91 18 

o388 
i658 
2927 
4196 
5464 


66066733 


7874 

•  9141 

535  o4o8 
1675 

2941 
4207 
5473 

6738 
6oo3 

•  9267 

536  o532 
1795 
3o39 
4322 

5584 

'6847 
8109 

•  9370 

537  o63i 

1892 

3i53 
44i3 

5673 
693 


8000 
9268 
o535 
1802 

3o68 

4334 
5599 
68o5 


8191 
#  94jo 
538  0708  o834 
1966 

3223 


812982 


83i7 
9575 


2092 


5172 

6449 

7720 
9002 


1426 
2701 
3976 
525i 
6525 

7799 
9072 
o345 
1617 
2890 


1 554 

2829 

4104 
5378 
6652 

7926 
9199 

0472 
1745 
3017 


4i6t  4289 
5433i556o 


6704 

7975 
9245 

o5i5 
1785 
3<)54 
4323 
5591 


683 1 
8102 
9372 

0642 
1912 
3i8i 
445o 
5718 


68596986 
8i27]8254 
93949521 
06620788 
1938  2o55 

3194 

4460 
5726 
6901 
8256 


3321 

4460  4587 


9394 

o65« 
1922 
3i85 
4448 

571 1 
6973 
8235 
94, 

07 

2018 
3279 
45394665 

571 
70; 


9520  9647 
0784 


2048 
33ii 

4574 

5837 

7099 

836i 

9622 
0884 


585a 
71 18 
8382 


091 1 

a  174 

4701 


6577 
7854 
91 3o 
o4o6 

1681 
2956 
423i 

^  jKXj 

6780 

8o53 
9326 
0599 
187a 
3i44 

44 16 
5687 
6958 
8229 
9499 

0769 
2039 
33o8 
4576 
5845 

7ii3 
838i 
9648 
0915 

2l8f 

3448 
471 3 
5979 

7244 
85o9 

9773 
1037 
a3oi 

3564 
4827 


7225 
8487 


21442270 
34o5{353i 

4791 
5924|6o5o 
71847310 


84438569 

9701  j  9827 

0059  io85 

2?i?i2343 

3349  3475I3601 


iiSi 

5737 
6994 
8250 


95069631 


4606  4732 '4858 
5863  5980  61 14 
711972457371 

8375  85oi  8627 
97571988a 


59636089 


7352 
86i3 


97499875 
IOI0II36 


2396 

3657 

4917 
6176 

7436 


laii 

2469 
3726 

4983 
6240 
7496 

8752 
♦008 


5428 
6705 
798  r 
9258 
o533 

1809 
3o84 
4359 

6907 

8181 

9454 
0727 
1999 
3271 

4543 

58 1 4 
7085 
8356 
9626 

o8< 

2 1 65 
3435 
47o3 
5972 

7240 
85o7 

9775 

1042 
23o8 

3574 
484o 
6io5 
7371 
8635 

9900 

ii63 
2427 
3690 
4953 

6216 
7478 
8739 
♦001 
1262 

2523 

3-^3 
5o43 
63o2 
756i 

88ao 
♦079 

i337 
2595 
385: 

5109 
6366 
7622 
8878 
01 33 


6832 

8109 

938  !> 
0661 

1936 
321  I 

4486 
5760 
7034 

83o8 

9581 

o854 
2126 
3398 

4670 
5941 
7212 
8483 
9753 

1 023 
2292 
356i 
483o 
6099 

7366 

8634 

990' 
1168 

2435 

3701 
4967 
6232 

7497 
8762 

♦026 
12 

25 

3817 

5079 

6342 
7604 
8866 
0127 
i388 

2649 

3909 

5i5 

6421 

7687 

8946 

0205 

i463 
2720 
3978 

5235 

6491 

7747 
9003 


5683,5811 


8237 
95 1 3 
0789 

2064 
3339 

4614 
5888 
7162 

8435 
9708 
0981 
2254 
3526 

4797 
6068 
7339 
8610 
9880 

ii5o 

241' 

368 

4957 

6225 

7493 
8761 
♦028 
1295 
256i 

3827 
5093 

riSSo 
7623 

8888 


01 52 
i4i6 
2680 
3943 
5206 

6468 
773o 

«9?2 

0253 

i5i4 

2775 
4o35 
5295 
6554 
7813 

9072 
o33o 
i588 
2846 
4io3 

536o 
6617 
7873 
9129 


0259  o384 


7088 
8364 
9640 
0916 

2 191 
3466 
4741 
6oi5 
7289 

8563 
9836 
1 108 
238i 
3653 

4924 
6196 
7466 

8737 
♦007 

1277 
2546 
3»i5 
5o84 
6352 

7620 
8888 
01 55 
1422 
2688 

3954 
5220 
6485 
775o 
9015 

027 

i54 
2806 
4069 
5332 

6504 
7856 
9118 
0379 
i64o 

2901 
4i6i 
5421 
6680 
7939 

0456 

1714 
2972 
4229 

5486 

6743 

799? 
9255 

o5io 


5939 
72 1 S 

8492 
9768 

1044 

23i9 
3594 
4868 
6143 
74i6 


3 
ia36 
25o8 
3780 

5o5i 
6323 
7.594 
8864 
01 34 

i4o4 
2673 
394a 

521 1 

6479 

7747 
9014 
0281 
1 548 
a8i5 

4o8i 
5346 
6612 
7876 
91 4i 

o4o5 
1669 
2932 
4io5 
5458 

6721 
7982 
9244 
o5o5 
1766 

3o27 
4287 

5547 
6806 
8o65 

93a4 
o582 
i84o 
3098 
4355 

56ia 
6868 
8124 
9380 
o635 


0      12      3     4 


5     6     7     8     9 


DiflT. 


DifT.  &  Mult. 


127 


126 


DiflT. 


I 
2 

3 

4 
5 
6 

7 
8 


128 
256 
384 

5l2 

640 
768 
896 

1024 
1 1 5a 


1 

127 

a 

254 

3 

,38i 

4 

5o8 

5 

635 

6 

762 

7 

889 
1016 

8 

9 

1 143 

I 

ia6 

a 

a52 

3 

378 

4 

5o4 

5 

6,3o 

6 

756 

7 

882 

8 

1008 

9 

ii34 

Diff.  k.  Mult 


\ 


I 


:i 


LOGARITHMS     OF     NUMBERS. 


45 


Nttia. 
3460 


0      12      3     4 


5     6     7     8     9 


DiX 


j  53JI  0761 


62 

2010 

3271 

63 

4525 

64 

5779 

65 

7o32 

66 

8286 

67 

.  «  9538 

68 

540  0791 

69 

2043 

3470 

3295 

71 

4546 

72 

5797 

73 

7048 

74 

8298 

75 

*  9548 

76 

5410798 

77 

2047 

78 

3296 

79 

4544 

3480 

5792 

81 

7040 

82 

8288 

83 

#  9535 

84 

542  0781 

85 

2028 

86 

3274 

87 

4519 
5765 

88 

89 

7010 

3490 

8254 

91 

#  9498 

92 

543  0742 

9^ 

1986 

94 

3229 

95 

4472 

^ 

5714 

9Z 

6956 

98 

8108 

99 

*  94^9 

35  00 

5440680 

01 

1921 

02 

3i6i 

o3 

44oi 

04 

564i 

o5 

6880 

06 

8119 
#  9358 

07 

08 

545  0596 
1 834 

09 

35  10 

3071 

II 

43o8 

la 

5545 

i3 

6781 

14 

8018 

i5 

*  9253 

16 

546  0489 

17 

1724 

18 

2958 

19 

4193 

0887,1012 
2i4i  2267 
33963522 


465o 
5904 

71 58 
84if 
9664 
0916 
2168 

3420 
4671 
5922 

7173 
8423 

9673 
0923 
2172 

342  f 
4669 

5917 
7i65 
84i2 
9659 
0906 

2l52 
3398 

4644 
5889 

7134 

8370 
9623 
0867 
2110 
3353 

45o6 

5838 
7081 

8322 

9564 

o8o5 
2o45 
3285 
4525 
5765 

7004 
8243 
9481 
0720 
1957 

3195 
4432 
5669 
6905 
8i4i 

9377 
0612 

1847 
3082 

43i6 


4776 
6o3o 

7283 
8536 
9789 
io4i 
2293 

3545 

4796 
6047 
7298 
8548 

9798 

io48 
2297 
3546 
4794 

6042 
7290 
8537 
9784 
io3i 

2277 
3523 
4769 
6014 
7259 

85o3 

9747 
090. 

2235 

3478 

4720 
5963 

7205 
8446 
9688 

0929 
2169 
3409 
4649 
5889 

7128 
8367 
9605 
0843 
2081 

3319 
4556 
5792 
7029 
8265j 

9500 
0736 
1971 
32o5 
4439 


ii38 
2392 

3647 


1263 
a5i8 

3772 


4901  5027 
61556280 


7408 
8661 
9914 
1167 
2419 

3670 
4921 
6172 
7423 
8673 

9923 
1172 
2422 
3670 
4919 

6167 
74i5 
8662 
9909 
ii55 


2402 

3648 

48^ 

61 


7534 
8787 
♦039 
1292 
2544 

3795 

5o47 
6297 

7548 
8798 

♦o48 
1297 
2546 

3795 
5o44 

6292 
7539 
8787 
♦o33 
1280 


2526 

3772 
3  5oi8 
8  6263 


2094 
3329 
4563 


7383 

8628 
9872 
iii5 
2359 
36o2 

4845 
6087 
^329 
8571 
9812 

io53 
2293 
3533 

4773 
6oi3 

7252 

8491 
9729 

0967 

2ao5 

3442 
4679 
5916 
7i52 
8388 

9624 
08596983 


7508 

8752 
9996 
1240 
2483 
3726 

4969 
621 1 
7453 
86o5 
9936 

1177 
2417 
3657 
4807 
6i37 

7376 
86i5 
9853 
1091 
2329 

3566 
48o3 
6o4o 
7276 
85i2 

9747 


2218 
3452 
4686 


i38o 

264J 
38 

5lD2 
6406 

7659 
8912 

oi65 

i4i7 
2669 

3920 
5172 
6423 
7673 
8923 

0173 
1422 
2671 
3920 
5i68 

64i6 

7664 
891 1 
oi58 
i4o5 

265 1 
3897 
5i42 
6387 
7632 

8876 
♦120 
1 364 
2607 
385o 

5093 
6335 

7577 
8819 

♦060 

i3oi 

254  r 
3781 
5o2i 
6261 

75oo 
8738 
9977 

I2l5 

2452 

3690 

4927 
6i63 
7400 
8635 

9871 
1106 
234 1 
3576 
4810 


i5i4  i64o 
2769*2894 
4o2j:4i49 
5277  54o3 
6656 


653 1 

7784 
9037 
0290 
1 542 
2794 

4o46 
5297 

6548 

7798 
9048 

0298 

1 547 
2796 
4045 
5293 

654i 
7789 
9o36 
0283 
1529 

2775 
4o2i 
5267 
65 1 2 
7756 

9001 
0245 
1488 
2732 
3975 

5217 
646o 
7701 
8943 
0184 

1425 
2665 
3905 
5i45 
6385 

7624 
8862 

♦  lOI 

1339 
2576 

38i3 
5o5o 
6287 
7523 
8759 

9905 

I23o 

2465 
3609 


79T0 
9163 
o4i5 
1667 
2919 

4171 
5422 
6673 
7923 
9173 

0423 
1672 
2921 

4170 
5418 

6666 
7913 
9161 
0407 
i654 

2900 
4i46 
5391 
6636 
7881 

9125 
0369 
i6i3 
2856 
4099 

5342 


7826 
9067 
o3o8 

1 549 
2789 
4029 
5269 
65o8 

7747 
8986 
0224 
1462 
2700 

3937 

5174 
64ii 

7647 
8883 

«ii8 
i353 
2588 

3822 


4933l5o56 


1765 

3020 

4274 
5528 
6782 

8o35 
9288 
o54o 
1793 
3o44 

4296 

5547 
6798 
8048 
9298 

o548 

1797 
3o46 
4295 
5543 

6701 
8o38 
9285 
o532 

1779 

3o25 
4270 
55i6 
6761 
8oo5 


0494 

1737 
2980 
4223 

5466 


6584  6708 


7950 
9191 
0432 

1673 
2913 
4i53 
5393 
6632 

7871 
91 10 
o348 
1 586 
2824 

4o6i 
5298 
6534 

7770 


0242 

1 477 
271 1 

3946 

5i8o 


1^91 
3i45 

4400 

5653 

6907 

8160 
94i3 
0666 
1918 
3170 

4421 
5672 
6923 
8173 
9423 

0673 
1922 
3171 

4419 
5668 

6915 
8i63 
9410 
0657 
1903 

3i49 
4395 
564o 
6885 
81 3o 


DiflT.  &,  Mull. 


9250  9374 


0618 
1862 

3io5 
4348 

5590 
6832 
8074 
93i5 
o556 

^797 
3o37 

4277 
55i7 
6756 

9234 
0472 
1710 
2947 

4i85 
5421 
6658 
7894 


90069130 


o365 
1600 
2835 
4069 
53o3 


Num. 


01234         56789 


125 


124 


I 

2 

3 

4 

5 
6 

7 
8 


Dim 


I 

a 
3 

4 
5 
6 

7 
8 

9 


126 

252 
378 

5o4 

63o 

756 

882 

1008 

ii34 


I 

125 

2 

a5o 

3 

375 

4 

5oo 

5 

625 

6 

75o 

7 

875 

8 

1000 

9 

1 1 25 

I 

124 

a 

248 

3 

372 

4 

496 

5 

620 

6 

744 

7 

868 

8 

99a 

9 

1 1 16 

ia3 

a46 
369 

492 
6i5 
738 
861 

984 

II 07 


« 


DiflT.  &  Holt. 


rwfUfimBii 


■MiWif  IWJilllllliPH  VllliPllAlllllll 


,'  > 


46 


LOGARITHMS    OF     NUMBERS. 


3520 

a  I 
2a 

a5 

a6 

a8 
39 

35  3o 

3i 

33 

35 
36 

3? 
38 

35  4o 
4i 

4^1 
43' 
^^ 

43 

46 

47 
48 

49 

35  5o 

5a 
53 
54 

55 
56 

5? 
58 
59 

35 '60 
61 
6a 

63 
64: 

65 
66 

mLmm 

07 

68 
69 

3570 
71 

7* 
73 
74 
75 

7^ 
jj 

78 

79 


0      12      3      4 


6     6     7     8     9 


5463427 

mMJKKf 

7894 

•  91  a6 
5470359 

1 59 1 

a8a3 

4o55 
5a86 

65i7 

7747 

•  8977 
5480207 

1 436 
a66S 

3894 

635 1 

7578 
8806 

5490033 
ia59 
a486 

3712 
4937 

6162 
7387 
86ia 

•  9836 
55oio6o 

a  284 

•J'307 

473o 
5952 
7174 

8396 

•  9618 
55i 

ao59 
3280 


555o  5673 
67846907 
80178140 
^2509373 


0482 

1714 
2946 

4178 

5409 
6640 

7870 
9iotj 


0839096 


45oo 
5720 


81 

•  9377 

552  0595 
i8i3 
3o3i 

4248 
5465 

668a 
7899 

•  9115 

553  o33o 
1 545 

3760 

3975 
5i8o 

64o3 

7617 


1 559 
2788 

4017 
5245 
6473 
7701 
8928 

01 55 
1 382 
2608 
3834 
5ci6o 

6285 
75io 
8734 

99^9 
1 182 

2406 
36ao 
485a 

6074 
7396 

85i8 
9740 
I 
ai8i 
34oa 


46a2 
5842 
7061 
8-i8o 


0717 
1935 

4370 

5587 


5707 

7o3o 
8363 


o6o5 

1 838 
3069 
43oi 

6763 

7993 
9223 
0453 
1682 
2911 

4i4o 
)368 
6596 
7824 
905 1 

0378 
i5o5 
2731 
3957 
5i82 

6407 

7633 
8857 
♦081 
i3o5 

2528 
3751 

4974 
6197 

7419 

8640 
9862 
io83 

33o4 
3524 


4744 
5964 
7i83 
8402 
94999621 


0839096 


2057 
3275 
4492 
5709 


66046925 
8020  8142 
9236  9358 


0452 
1667 

2882 
4097 
53 1 1 
6525 
7738 


5920 
7154 
8387 
94969620 
o85a 


0729 

1961 

3193 

4424 
5655 
6886 

81 16 

934* 

0576 

i8o5 

3o34 

4263 
5491 
6719 

7947 
9174 

o4oi 
1627 
2853 

4079 
53o5 

653o 

7755 
8970 

0303 

1427 
265 1 

3874 

5096 
63 1 
7541 

8763 

9984 
iao5 
2426 
3646 

4866 
6086 
73o5 
8524 
9743 


0573 
1789 

3oo3 
4ai8 
5432 
6646 
7860 


2179 
3396 
46i4 
583 1 

7047 
8263 

9479 

0695 
1910 

3i25 
4339 
5554 
6767 
7981 


2084 
33 16 

4547 
5778 
7009 

8239 
9469 
U699 
1938 
3i57 

4386 
56i4 
684a 
8060 
9296 

o523 
t75o 
2976 
4202 
5427 

6652 

7«77 
9102 

o326 

1549 

2773 

J996 
5219 

I 

7663 

8885 
♦  106 
1 337 
2548 
3768 

4988 
6208 
7427 
8646 
9864 

io83 
23oi 
35i8 

4735 
595a 

7169 

8385 
9601 
0816 
ao32 


9644 


3246 

446r 
5675 
6889 
8102 


6043 
7377 
85io 
9743 
0975 


3307 
3439 

4670 
5901 

7i3a 

8362 
9592 
0822 
2o5i 
3380 

45o8 
5737 
6964 
8192 

9419 


1098 

333o 
3562 

4793 
6024 
7255 

8485 
97 1 5 
0945 
2174 
34o3 

463 

5859 

7087 

83i5 

9542 


0646 
1872 
3099 
4324 

6775 
8000 
9224 

o448 
167a 

3895 

4ii8 
5341 
6563 
7785 

9007 
02a8 

1449 

2670 
3890 

5iio 
6329 

7549 
8768 
9986 

iao4 
a4a3 
364© 

4857 
6074 

7290 
85o7 

9732 

0938 
2i53 

3368 

4583 
5796 
7010 
8224 


6i()7| 
7400 
8633 


98669989 


0760 
1995 

3221 

4447 
5672 

6897 
8122 
9346 
0570 
1794 

3oi7 
4240 
5463 
6685 
7907 

9139 

o35o 
1571 
2792 
4oi2 

5232 

645i 
7671 
8890 
♦108 

i3a6 

2544 
3762 

iv^ 

74i2 
86a8 


1059 
3275 

3489 

4704 
5918 
7i32 
8345 


6290 

7524 
8757 


1232 
2454 

3685 
4916 

6147 
7378 

8608 
9838 
1068 
2297 
3526 

4754 
5982 
7210 

8437 
9665 

0891 
2118 

3344 
4569 
5795 

7020 
8245 
9469 
0693 
1917 

3i4o 
4363 
5585 
6808 
8o3o 

9251 
0473 
1693 
2914 
4i34 

5354 
6573 

7793 
901 1 

0230 

i448 
2666 
3883 
5ioo 
63i7 

7534 
8750 


98449965 


1181 
2396 

36ii 
4825 
6089 
7253 
8466 


64i4 
7647 
8880 
«ii3 
1345 

2577 
38o8 
5o4o 
6270 
75oi 

8731 
9961 
1191 
2420 
3648 

4877 
6io5 
7333 
856o 
9787 

ioi4 
2240 
3466 
4692 
5917 

7142 
8367 
9591 
081 5 
2039 

3262 

4485 
5708 
6930 
81 52 

9^73 
0594 
i8f5 
3o36 
4256 

5476 
6695 

7914 

9133 
o353 

1570 
2788 
4oo5 

5222 

6439 

7655 
8871 

♦087 

l302 

25i7 

3732 

4947 

6I6I 

7374 

8588 


6537 
7770 
9003 
oa36 
i468 

2700 
3931 
5i63 

7624 

8854 
♦084 
i3i3 
2543 

3771 

5ooo 
6228 
7456 
8683 
9910 

ii37 
2363 
3589 
481 5 
6o4o 

7265 

8489 

9714 
0938 
2161 

3384 
4607 
583o 
7o52 
8274 

9495 
0717 
1937 
3i58 
4378 

5598 
6817 
8o36 
9255 
0474 

1692 
3909 
4127 

5344 
656i 

7777 
8993 
0309 

1424 
3639 

3854 
5o68 
6282 

7496 
8709 


0      1234        56789 


Die 


123 


laa 


DiflT.  Sl  Mult. 


I 
3 
3 

4 
5 
6 

7 
8 

9 


I 
3 
3 
4 
5 
6 

7 
8 

9 


Die 


124 

248 
372 

496 
620 

744 

868 

992 

1116 


133 

246 
369 
492 
61 5 
738 
861 

984 

H07 


I 

132 

3 

244 

3 

366 

4 

488 

5 

610 

6 

733 

7 

854 

8 

9?6 

9 

1098 

Diir.  At  Malt 


ifflfii'iilpiniPjii'iiiiiiiHiiiiiilr 


LOGARITHMS  OF  NUMBERS. 


47 


Num. 

3380 
81 

82 

83 
84 

85 
86 
87 
88 
89 

3590 
91 

9^ 

94 

95 
96 

9Z 
98 

99 

36  00 
01 
03 
o3 
o4 

o5 
06 
07 
08 
09 

36 10 
II 

13 

i3 

14 

i5 
16 

17 
18 

'9 

3620 

31 
32 

23 
24 

35 
36 

37 

38 
39 

36  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 


0   12   3  4 


Nunu 


553  883o  8952 

554  0043  |o  1 64 

1256  i377 

2468 '2  589 

368o  38oi 

4892  5oi3 
61036224 


73i4 

8524 

#  9735 

555  0944 
2i54 
3363 
4572 
5781 

6989 

8197 
«  9404 

556o6i2 

1818 

3o25 

423l 

5437 
6643 
7848 


7435 
8645 
9856 

io65 

2275 
3484 
4693 
5902 

7110 
83i8 
9525 
0732 
1939 

3r46 
4352 
5558 
6763 
7968 


9073 
0286 
1498 
2710 
3922 


#  90539173 

557  0257  0378 

i46i  i582 

2665  2786 

3869  3989 


5072 

6275 

7477 
8680 

#  9881 

558  io83 
2284 
3485 
4686 
5886 

7086 
8285 

•  9484 
5590683 

1882 


3o8o 
4278 
5476 
6673 
7870 

#  9066 
56o  0262 

i458 

2654 
3849 

5o44 
6239 
7433 
8627 

♦  9821 


5192 
6395 
7598 
8800 
♦002 

I203 

2404 
36o5 
4806 
6006 

7206 
84o5 
9604 
o8o3 
2002 

3  200 

4398 
5595 
6792 
7989 


6345 
7556 
8766 

9977 

1186 
2396 
36o5 

48i4 
6022 

723i 
8438 
9646 
o853 
2060 

3266 

4472 
5678 
6884 
8089 

9294 
0498 
1702 
2906 
4109 

53i3 
65i5 
7718 
8920 
0122 


9194 
0407 
1620 

2832 

4o44 


5 1 34  5255 


6466 

7677 
8887 
♦098 

i3o7 
25i7 
3726 
4935 
6143 

735i 
8559 
9767 

0974 
2180 

3387 
4593 
5799 
7004 
8209 

9414 
0619 
1823 
3026 
423o 


931 5 
o528 

i74r 
2953 
4i65 

5376 
6587- 
7798 
9008 
0219 

1428 
2638 

3847 
5o56 

6264 

7472 
8680 
9887 
1094 
23oi 

35o8 

4714 
5919 
7125 
833o 

9535 
0739 
1943 

3i47 
435o 


5433  5553 
66366756 


9186 
o382 
1578 

2774 
3969 


i323 

2524 

3725 

4926 
6126 

7326 
8525 
9724 
0923 


7838 
9o4o_ 
0242 


1443 
2645 
3845 
5o46 
6246 

7446 
8645 
9844 
io43 


2123  224l 


3320 

45i8 
5715 
6912 
8109 

9306 
o5o2 

1698 
2893 
4088 

5283| 

6478 
7672' 
88661 


3440 
4637 
5835 
7o32 
8229 

9425 
0621 
1817 
3oi3 
4208 


5i64  5283154o3 
6358  6478  6597 
7552  767217791 
8746  8866J8985 
994o»o59'oi79 


7958 
9160 
o362 

1 564 
2765 
3965 
5i66 
6366 

7566 
8765 
9964 
ii63 
236i 

3559 
4757 
5954 
7i52 
8348 

9545 
0741 
1937 
3i32 
4327 

5522 

6716 

791 1 

9104 
0298 


5  6   7   8   9 


9437 

ci65o 
1862 
3o74 
4286 

5497 
6708 

7919 
91 3o 

o34o 

1 549 
2759 
3968 
5176 
6385 

7593 
8801 
♦008 

I2l5 

2422 

3628 
4834 
6o4o 

7245 
845o 


955819679  9801 1992 
0771  0892  ioi3ln3 


0771 
1983 
3195 
4407 


9655 
o85o 
2o63 
3267 
4470 

5673 
6876 
8079 
9281 
0482 

1684 
2885 
4o85 
5286 
6486 

7686 
8885 
♦084 
1283 
248] 


56i8 
6829 
8o4o 
9251 
0461 

1670 
2880 
4089 
5297 
65o6 

7714 
8921 
0129 
1 336 
2542 

3749 
4955 
6160 
7366 
8571 


9775 
0980 
2184 
3387 
4591 

5794 
6996 
8199 
9401 
0602 

1804 
3oo5 
42o5 
5406 
6606 


089 

2104 

33i6 

4528 

5740 
6961 
8161 
9372 
o582 

1 791 
3ooi 
4210 
5418 
6627 

7835 
9042 
0249 
1 456 
2(563 

3869 
5073 

628  T 

7486 
8691 

9896 
tioo 
23o4 
35o8 

47" 


2 

35 

2226  2347 

3559 


3438 
4649 

586i 
7072 
8282 
9493 
0703 

1912 

3X2! 

433o 
5539 

6747 

7955 
9163 
0370 

1 577 
2784 

399041 1 1 


4770 

5982 
7193 
84o3 
9614 
0824 

2o33 
3242 

445i 
566o 
6868 

8076 
9284 
0491 
1698 
2904 


5914 

7117 
83 1 9 
9521 
0723 

1924 
3i25 
4325 
5526 
6726 


3679 

4877 
6074 
7271 
8468 

9664 
0860 
2o56 

3252 

4447 

564i 
6836 
8o3o 
9224 
0417 


7805 
9005 
0204 
r4o3 
2601 


3799 

4997 
6194 
7391 
8588 

9784 
0980 
2176 
3371 
4566 

5761 
6955 

8149 
9343 

0537 


7925 
9125 
o324 

l522 

2721 

3919 
5n6 
63i4 
75ir 
8707 

9904 
uoo 
2295 
3491 
4686 


5196 

64o2 
7607 
8812 

♦ot6 
1221 
2425 

3628 
483 1 

6034 
7237 
843v 
9641 
0843 


2044 
3245 

4446 
5646 
6846 

8045 
9245 

0444 
1642 
2840 

4o38 
5236 
6433 
763o 
8827 


53i7 

6522 

7727 
8932 

oi37 
i34i 
2545 
3748 
4952 

61 55 
7357 
8559 
9761 
0963 


2164 
3365 
4566 
5766 
6966 

8i65 
9365 
o563 
1762 
2960 

4i58 
5356 
6553 

775o 
8947 


♦023  0143 
1339 
2534 
373© 
4925 


;;? 


0   12   3  4 


121 

24 

36io 

48o5 

5880I60006119 

7075,71947314 
826983888508 
9463  9582:9701 
o656  0775  0895 


6      7     8     9 


I2X 


120 


Diff. 


Dim       Diir.tMuh. 


I 

2 

3 

4 
5 
6 

7 
8 

9 


I 
2 
3 

4 
5 
6 

7 
8 


122 

244 
366 
488 
610 
73a 
854 
976 
1098 


I 

131 

3 

34a 

3 

363 

4 

484 

5 

6o5 

6 

726 

7 

847 

8 

968 

9 

1089 

I 

120 

a 

240 

3 

36o 

4 

48o 

5 

600 

6 

720 

7 

84o 

8 

960 

9 

1080 

23; 
357 
476 
595 
714 
833 
952 
1071 


DifT.  &.  MuIU 


LOUARITHMS     OF     NUMBERS. 


49 


Num. 

3700 

oi 

02 

o3 
o4 

o5 
o6 
07 
08 
09 

37  10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

'9 

3720 
21 
22 

23 

24 

25 

26 

27 
28 
29 

3730 

3i 

32 

33 
34 

35 
36 

37 
38 
39 

3740 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

3750 
5i 

52 

53 

54 

55 
56 

57 
58 
59 

Num. 


0      12      3     4 


5     6      7     8      9 


568  2017 
3191 
4364 
5537 
6710 

7882 

#  9054 
5690226 

1307 
2568 

3739 
4910 
6080 
7249 
8419 

#  9588 
5700757 

1926 
3094 
4262 

5429 
6597 

7764 
8930 

571  0097 

1263 
2429 
3594 
4759 
5924 

7088 
8252 

#  9416 

572  o58o 
1743 

2906 
4069 
523i 
6393 
7555 

8716 

#  9877 

573  io38 
21 
33 

45i8 
5678 
6837 
7996 

#  9154 

574o3i3 

1471 
2628 
3786 
4943 

6099 
7256 
84x2 

#  9568 
575  0723 


2i35 
33o8 
4481 
5654 
6827 

7999 
9171 

o343 

i5i4 
2685 

3856 
5027 

6197 
7366 
8536 

97o5 

0874 
2042 
Ban 
4379 

5546 
6713 
7880 
9047 

02l3 

1 379 
2545 
3710 
4876 
6o4o 

72o5 
8369 
9533 


2252 
3426 
4599 

5772 
6944 

81I7 
9289 

0460 

i63i 
2803 

3973 
5i44 
63 14 

7483 
8^353 

9822 

0991 
2169 
3327 
4495 

5663  5780 
683o 

9164 
o33o 


1859 

3022 

4i85 

5347 
65o9 

7671 
8832 

99?3 
ii54 
23i4 
3474 

4634 
5794 
6953 
8112 
9270 

0428 
i586 

2744 
3901 
5o58 

6215 
7371 
8528 
9683 
0839 


2369 
3543 
4716 
5889 
7062 

8234 
9406 

0577 

1749 
2920 

4090 
6261 
643 1 

7600 
8770 

9939 
1 108 
2276 

3444 
4612 


1496 
2662 
3827 

^ 

7321 
8485 

964q 
o8i3 
1976 

3i39 
43oi 
5463 
6625 

7787 

8948 
♦109 
1270 
243o 
3590 

475o 
5910 
7069 
8228 
9386 

o544 
1702 
2860 
4017 
5i74 

633i 

7487 
8643 

9799 
0954 


6947 
8114 
9280 

0447 

i6i3 
2778 
3943 
5109 
6273 

7438 
8602 
9765 
0929 
2092 

3255 

4417 
558o 

6742 
7903 

9064 
0225 
1 386 
2546 
3706 

4866 
6026 
7i85 
8343 
9502 

0660 
1818 
2976 
4i33 
5290 

6446 
7603 
8759 

9914 
1070 


2487 
366o 
4833 
6006 
7179 

835i 
9523 
0694 
1866 
3o37 

4207 
5378 
6548 

7717 
8887 

♦o56 

1225 

2393 
356i 
4729 

5896 
7064 
823o 
9397 
o563 

1729 
2895 
4060 

5225 

6390 

7554 

8718 
9882 

1045 
2208 

3371 
4534 
5696 

6858 
8019 

9180 
o34i 
i5o2 
2662 

3822 

4982 

6i4i 
73oi 
845o 
9618 

0776 
1934 
3091 
4248 
54o5 

6562 
7718 
8874 
♦o3o 
ii85 


2604 
3778 
4951 
6123 
7296 

8468 
9640 
0812 
1983 
3i54 

4324 
5495 
6665 
7834 
9004 

0173 
i34i 

25l0 

3678 

4846 

6c  i3 

7180 

8347 
9514 
0680 

1 846 
3oii 

4177 
5341 
65o6 

7670 
8834 
9998 
1162 

2325 

3487 

465o 
58i2 
6974 
8i35 

9207 
0457 
1618 
2778 
3938 

5oo8 
6237 
7416 
8575 
9734 

0892 
2o5o 
3207 
4364 
5521 

6678 
7834 
8990 
0146 
i3oi 


2721 
3895 
5o68 
6241 
74i3 

8585 

9757 
0929 

2100 

3271 

444 1 
56i2 
6782 
7951 
9121 

0290 
1 458 
2627 

3795 
4962 

61 3o 

7297 

8464 
9630 
0796 

1962 

3i28 
4293 
5458 
6623 

7787 
8951 
♦ii5 
1278 
2441 

36o4 
4766 
5928 
7090 
8252 

94i3 
o574 
1734 
2894 
4o54 

52i4 
6373 
7532 
8691 
9849 

1007 
2i65 
3323 
4480 
5637 

6793 
7950 
9105 
0261 
i4i6 


2839 
4oi2 
5i85 
6358 
7530 

8703 

9874 
io46 
2217 
3388 

4558 
5729 
6899 
8068 
9237 

o4o6 
1575 
2743 
391 1 
5o79 

6247 

7414 
858o 

9747 
0913 

20*79 

3244 
4410 

5574 
6739 

7903 
9067 

023l 

1304 
2557 

3720 
4882 

6o44 
7206 
8368 

9529 
0690 
i85o 
3oio 
4170 

533o 
6489 
7648 
8807 
9965 

II23 

2281 
3438 
45 

57 

806 
9221 

o377 
1 532 


2956 
4i3o 
53o3 
6475 
7648 

8820 
9992 
ii63 
2334 
35o5 

4675 
5846 
7016 
8i85 
9354 

o523 
1692 
2860 
4028 
5196 

6363 
7530 

8697 
9863 
io3o 

2195 
336 1 
4526 
5691 
6855 

8020 
9184 
o347 
i5ii 

2674 
3836 

7322 
8484 

9645 
0806 
1966 
3x26 
4286 

5446 
66o5 
7764 
8923 
♦081 

1239 
2397 
3554 

47" 
5868 

7025 
8181 

9337 
0492 


3o74 

4247 
5420 
6593 

7765 

8937 
♦109 
1280 
245 1 
3622 

4793 
5963 
7i33 
83o2 
9471 

0640 
1809 

2977 
4i45 
53i3 

648o 

7647 
8814 
9980 
1 146 

23l2 

3477 

4643 
5807 
6972 

8i36 
9300 

o464 
1627 
2790 

3952 
5ii5 
6277 
7438 
8600 

9761 
0922 
2082 
3242 
4402 

5562 
6721 
7880 
9039 
0197 

1 355 
25i3 
3670 
4827 
5984 

7140 
8296 
9452 

0608 


Diff*.       DiflT.  ic  Malt. 


1647  1763 


117 


116 


0123      4         56789 


I 
2 
3 

4 
5 
6 

7 
8 


I 
2 

3 
4 
5 
6 

7 
8 

9 


118 
236 
354 
472 
590 
708 
826 

944 
1062 


I 

117 

2 

234 

3 

35i 

4 

468 

5 

585 

6 

70a 

7 

819 

8 

936 

0 

io53 

I 

116 

a 

aSa 

3 

.^m 

4 

464 

5 

58o 

6 

696 

7 

813 

8 

928 

9 

io44 

ii5 
23o 
345 
460 
575 
690 
8o5 
920 
io35 


Diff.       Diff.  Sc  Malt. 


i  Si 


m 


LOGARITHMS  OF  NUMBERS. 


Num. 

mm 

6i 
62 

63 
64 

DO 
67 

6H 

69 

37  7** 
71 

72 

74 

75 
76 

77 

79 

3780 
81 
82 
83 

84 

85 

«7 
ftft 

% 

3790 
91 

92 

*?^ 

9^ 
97' 
98 

00 

WW 

38  00 
01 

oa 
o3 

o4 

oS 
06' 
07 
08 
09 

.38'iO' 
II 
12 

1 3 

i5 
16 

17 

18 
19 


0      12      3      4 


5     6      7     8     9 


575  1878 
3o33 
4188 
5342 
6496 

7650 

•  9956 

576 1 109 
2261 

34i4 

4565 
5717 
6868 
8019 

•  9170 

577  o3ao 

1470 
3620 

3769 

4918 
6067 

72 1 5 
8363 

•  951 1 

578  0659 

1806' 
2953 
4ioo 
5246 

6392 

7538 
8683 

•  9828 
5790973 


1994 
3 1 49 
43o3 
5458 
6612 

7765 
8918 
♦071 

1224 

2377 

3529 
4680 
5832 
6983 

81 34 

9285 
0435 
1 585 

2734 
3884 

5o33 
6182 

733o 
8478 
9626 

0774 
192 1 
3o68 
4214 
536i 

65o7 
7652 
8798 
9943 
1088 


2118 

3262 
44o6 

6693 

7836 

•  8979 

58001 2 1 

1263 

24o5 


2109 
3264 
44iQ 
557J 
6727 

7881 
9034 
0187 
1339 
2492 

3644 

479^^ 

5947 
7098 

8249 

9400 
o55o 
1700 
3849 
3999 

5i48 
6296 
7445 
8593 

9741 

0888 
2o36 
3182 
4329 
5473 

6621 
7767 
8912 
♦057 
1202 


2225 

338o 
4534 
5688 
6842 

7996 

9149 
o3o2 

1455 

2607 

3759 
4911 
6062 
72i3 
8364 

951 5 
o665 
i8i5 
2964 
4ii4 

5263 
64ii 
7560 
8708 
9856 


2232  2347 
3376  3491 
45204635 
56645778 
68076922 


354? 
4688 
5829 
6969 
8110 

•  9250 

58 1  0389 

1529 

2668 

3807 

4945 
6084 

7222 


02J5 

377 

25i9 

366i 
48oa 


7950 


2340 
3495 
465o 
58o4 

6958 

8111 

9264 
0417 
1570 
272a 

3874 
5026 
6177 
7328 
8479 

9630 
0780 
1930 
3o79 
4229 

5378 
6526 
7675 
8823 
9970 


456|a57 


ioo3 
2i5o 
3297 

4444 
5590 

6736 
7882 
9027 
0172 
i3i7 

a46i 
36o5 
4749 
58o3 

70^ 


1118 
2265 
34 1  a 
4558 

5705 

685o 
7996 
9141 
0286 
i43i 

2576 
3720 
4863 
6007 
•367150 


8o65 
9207 
o35o 
149a 
2633 

3775 
4916 


59436057 

7o83 

8224 


9364 
o5o3 
1643 
2782 
3921 

5o59 
6107 

73*5 


83598473 


•  9497 


9610 


7197 
8338 

9478 
0617 
1757 
2806 
4o35 

5173 
63 1 1 

7449 
8587 

9724 


8179 
9321 

o464 
1606 

2748 


8293 
9436 

0578 
1720 
a86a 


38894003 


5o3o 
6171 
73 1 2 
8452 

9592 
0731 

1871 

3oio 

4i48 


5t44 
6285 

7426 
8566 

9706 
0845 
1985 
3 1 24 
4a62 


5287  54oi 
642516539 


7563 
8700 
9838 


7677 
88i4 
9951 


36ii 
4765 
5919 

.707^ 

8227 
9380 
o533 
i685 

2837 

3989 

5i4i 
6292 

7444  / 
85948 


3726 
4881 

7188 
834a 


949596 
0648 
1800 
2953 


4io5 
5256 
64o8 
7559 

"709 


2687 
3842 

61 5o 

73o4 

8457 
10 
6763 
1916 
3o68 


9660 

lOIO 

2160 
3309 
4458 

5607 


5732 
67566871 
8019 
9167 
o3i5 


7904 
9052 
0200 


9745 
0895 
ao45 
3194 
4343 

5492 
6641 
7789 
8937 
♦o85 

1233 
238o 
35a6 
4673 
5819 

6965 
81 1 1 
9256 
o4oi 
i546 

2690 
3834 
4978 
6iai 
7a64 

84o7]852a 
9550  9664 
■  0806 
1948 
3090 

423i 

5372 
65i3 
7654 
8794 

9934 

1073 
22ia 
335i 
4490 


4220 

5371 
6523 

7674 
8824 

9975 

1125 

2275 

3424 


2802 

3957 

5iii 
6265 

7419 

8573 
9726 
0878 
ao3i 
3i83 

4335 

5487 
6638 

7789 


1 347 
2494 
364 1 
4788 
5934 

7080 
8225 
9370 
o5[5 
1660 

2804 
3948 
5092 
6236 


2918 
4072 
5227 
638i 
7534 

8688 
9841 

*^ 
2i46 

3298 

445o 
56o2 
6753 
7904 


8939  9055 


♦090 
1240 
2390 
3539 
4573  4688 


1462 

2609 
3756 
4902 
6o48 

7194 
834o 
9485 
o63o 

1774 

2919 

4<>63 
5207 
635o 


0692 
1 834 
2976 

4117 

5258 
6399 
7540 
8680 

9830 

0959 

30 

3238 

4376 

55i5 

6653 
7790 
8928 
♦o65 


73797493 

8636 
9778 
0921 
2o63 
32o4 


5837 
6986 
81 34 
9282 
o4a9 

1 577 
2724 
3870 
5017 
6i63 

7309 

8454 
9599 

0744 
1889 

4177 

5321 

6464 
7607 

8750 
io35 


4346 

5487 
6627 
7768 
8908 

♦o48 
1187 
2326 
3465 
46o4 


5628  5743 
67666880 
79048018 
90439155 
01790293 


2177 
33i8 

4460 
56oi 

6741 
7882 
9022 

016a 

i3oi 
2440 
3570 
4718 

5856 

6994 
8i32 
9269 
o4f)o 


O2o5 

i355 
25o5 
3654 
48o3 

5952 
7100 
8249 
9397 
o544 

1691 
2838 
3985 
5i3i 
6278 

74a3 

8569 
9714 
o85o 
2oo3 

3i48 
4292 
5435 
6579 
7722 

8864 
♦007 

"49 
2291 
34^2 


DiC 


4574 
5715 
6855 


0276 
i4i5 

2554 
3693 
483a 

5970 
7108 
8245 
9383 

o520 


ii5 


01234        5     6789 


Diff.  k.  Malt 


\l4 


I 

ii5 

2 

232 

3 

348 

4 

464 

5 

58o 

6 

696 

7 

8ia 

8 

928 

9 

1044 

I 

115 

a 

a3o 

3 

345 

4 

460 

5 

575 

6 

690 

7 

8o5 

8 

920 

9 

io35 

DifT. 


I 

ii4 

2 

a28 

3 

34a 

4 

456 

5 

570 

6 

684 

7 

798 

8 

912 

9 

1026 

DiC  k,  Mult. 


r- 


LOGARITHMS    OF     NUMBERS. 


51 


Num. 


0      12      3     4 


5     6      7     8 


3820 

582  0634 

21 

1770 

22 

2907 

23 

4o43 

24 

5179 

25 

63i4 

a6 

745o 

27 

8585 

28 

*  9719 

29 

583  o854 

38  3o 

1988 

3i 

3l22 

32 

^   4255 

33 

5388 

34 

6521 

35 

7654 

36 

8786 

37 

#  9918 

38 

584  io5o 

39 

2181 

38  40 

33i2 

4i 

4443 

42 

5574 

43 

6704 

44 

7834 

45 

8963 

46 

5850093 

47 

1222 

48 

235i 

49 

3479 

38  5o 

4607 

5i 

5735 

52 

6863 

53 

7990 

54 

#  9117 

55 

5860244 

56 

1370 

57 

2496 

58 

3622 

-  59 

4748 

38  60 

5873 

61 

6998 

62 

8123 

63 

*  9247 

64 

5870371 

65 

1495 

66 

2618 

67 

68 
69 

3870 

71 
72 
73 
74 

75 
76 

77 
78 

79 
Num. 


3742 

4865 
5987 

7110 

8232 

•   9353 

588  0475 

1596 


0747 
1884 

3020 

4i57 
5292 

6428 

7563 
8698 
9833 
0967 

2101 
3235 
4368 
55oi 
6634 

7767 
8899 
♦o3i 
ii63 
2294 

3425 
4556 
5687 
6817 
7947 

9076 
0206 
i335 
2463 
3592 

4720 
5848 
6976 
8io3 
9230 

o356 
i483 
3609 
3735 
4860 

5986 
7110 
8235 
9360 
o484 

1607 
2731 
3854 

4977 
6100 

7222 

8344 
9466 
0587 
1708 


2717 
3838 
4958 
6078 
7198 


0861 

4270 
5406 

654i 

7677 
8812 
9946 
1081 

22l5 

3348 
4482 
56i5 
6748 

7880 
9012 

01 44 
1276 
2407 

3538 
4669 
58(>o 
6930 
8060 

9189 
o3ii 

i44 

2576 

3705 

4833 
5961 
7088 
8216 
9342 

0469 
1596 
2722 

3847 
4973 

6098 
7223 
8348 
9472 
0596 

1720 
2843 
3966 
5089 
6212 

7334 
8456 
9578 
0699 
1820 


2829 
3950 
5070 
6190 
73io 


2941 
4062 
5182 
63o2 
7422 


0975 
2111 
3248 
4384 
5520 

6655 

7790 
8925 
♦060 
1 194 

2328 
3462 
4595 
5728 
6861 

7993 
9126 
02  58 
1389 
2520 

3652 
4782 
5913 
7043 
8173 

9302 
0432 
i56i 
2689 
38i8 

4946 
6073 
7201 
8328 
9455 

o582 
1708 
2834 
3960 
5o85 

621 1 
7335 
846o 
9584 
0708 

i832 
2955 

4079 

520I 

6324 

7446 
8568 
9690 
0811 
1932 

3o53 
4174 
5294 
64i4 
7534 


1088 

2225 

336i 

4497 
5633 

6769 
7904 
9039 
0173 
1 307 

2441 
3575 
4708 
5841 
6974 

8107 
9239 

0371 

l502 

2634 

3765 
4895 
6026 
71 56 
8286 

941 5 
o544 
1673 
2802 
3930 

5o58 
6186 
73i4 
844i 
9568 

0694 
1821 

2947 
4072 
5198 

6323 
7448 
8572 
9697 
0821 

1944 
3o68 
4191 
53i4 
6436 

7559 
8680 
9802 
0923 
2045 

3x65 
4286 
54o6 
6526 
7646 


1202 
2339 

3475 
4611 

5747 

6882 
8017 
9152 
0287 
1421 

2555 
3688 
4822 
5955 

7087 

8220 
9352 
o484 
i6i5 

2747 

3878 
5oo8 
6139 
7269 
8399 

9528 
0657 
1786 
2915 
4043 

5171 
6299 
7426 
8554 
9681 

0807 
1933 
3o5 
4i8 
53 10 


i3i6 

2452 
3589 
4725 
586o 

6996 
8i3i 
9265 
o4oo 
i534 

2668 
38o2 
4935 
6068 
7201 

8333 
9465 

0597 
1729 
2860 


7109 

8244 
9370 
o5i3 
1 648 


9641 

0770 

'^ 

4x56 


0920 
2o46 
3172 
4298 
5423 


6436  6548 


7560 
8685 
9809 
0933 

2057 
3i8o 
43o3 
5426 
6549 

7671 
8793 
9914 
io36 
2i57 


7673 
8797 
9922 
1045 

2169 
3292 
44i6 
5538 
6661 


3389 
45io 
563o 
6750 
7870 


7223 
8358 
9492 
0627 
1761 

2895 
4028 
5x63 
6295 

7427 

856o 
9692 
0823 
1955 
3o86 


DiflT. 


20x2 
3x4i 
4269 

5397 
6525 
7652 
8779  889 
9906 


6661 
7785 
8910 
♦o34 
1x58 


2394 
35x7 
464o 
5763 
6885 

8007 
9x29 

025x 

1372 

2493 

36x4 
4734 
5854 
6974 
8093 


5623 

6750 

7877 

9004 
oi3i 


8120 

9241 
o363 
x484 
2605 


1x3 


Diff.  &  Mult. 


0 


3     4        5      6      7     8     9 


iia 


I 

ii4 

2 

228 

3 

342 

4 

456 

5 

570 

6 

684 

7 

798 

8 

912 

9 

1026 

I 

2 

3 

4 
5 
6 

7 
8 


DiflT. 


I 

2 

3 
4 
5 
6 

7 
8 


ii3 

226 
339 
452 
565 
678 
791 
904 
1017 


112 
224 
336 
448 
56o 
672 

784 

896 

1008 


I 

III 

2 

3 

4 
5 
6 

22a 
333 

444 
555 
666 

7 
8 

777 
888 

9 

999 

Diff.  Sc  Mult. 


h 


OSi 


LOGAEITHMS     OF     NUMBERS. 


Mum. 
8l 

83 

83 
'84 

85 

ftfi 

87 

88 
89 

38' 90 
91 

'93 

'?! 
'96 

'97 
98 

99 

39  00 
01 
oa 
'03 
^^ 

07 
08 
09 

3910 
II 

1 3 
i4 

i5 
16 

17 

19 
3920 

21 

33 

a3 
34 

a5 
a6' 

38 
39 

39  3o 
3i 

33 

34 

35 
36 

37 

39 
Mum. 


0 


2      3     4 


5      6      7      8     » 


588'  83i7,84aQi854ij8653 


9436 

mJCMj  Vf  *J  (-f  lu-l 

1674 
2792 

3910 
%lO  JO 

6145 


8379 

•   9496 

5900613 
1728 
3844 


39594071 

5f86 

63oi 
74i5 
853o 
9644 


5075 
6189 

73o4 
8418 
9532 


0757 
187 1 
2984 
4097 
5209 

6322 

7434 

8545 

95469657 
0768 


591  0646 

1760 
3873 
3986 
.5098 

6210 

7*^'*  2 

'04»4 
# 
5930657 

1768 

2'0'78 
3988 
5098 
6208 


'9536  9647 
0755 
1 863 


73 1 8 

8427 

5930644 
1753 

a86i 
3968 

■5o76 
61 83 

7290 

8397 

•  95o3 

5940609 

1715 

3820 


5b3o 
6i35 
7239 
8344 

♦  9447 

595o55i 

i654 

3757 


9548 
(1667 

1786 
2904 

402  a 

5i4o 
6257 
7374 
8491 

0724 
1840 

2956 


1879 
3989 

4099 
5209 

63 19 

7420 
8538 


85o7 

9614 

0720 
1825 
2931 

3926  4o36 


5i4i 
6246 
735o 
8454 

9558 
0661 
1764 
2867 
3970 


966019772 

07790891 

2009 

3(28 


1898 
3oi6 

4i34 

425 1 
636o 
7480 
86o3 

9710 

o83b 
[951 


4i83 

5298 
64i2 

7527 
864i 
9755 


:>869098i 


982 
3095 
4208 
5321 

6433 

7545 
8656 
9768 


08790990 


1990 

3ioo 
4310 

5320 
64  3o 

7540 
8649 
9757 
0866 
1974 


3971 

4079 
5187 

6294  64b4 
74oi 


4190 
5397 


75ii 

8618 
9734 
o83o 
1936 
3o4i 

4i47 
5>5i 
6356 
7460 
8564 

9668 

0772 
1875 
2978 
4080 


4246 

\}'J0^J' 
6481 
7598 
8714 

983 1 

0947 

2o63 
3 1 79 
4294 

5409 

65^4 

7638 
8753 


'57f>3 
9884 
ioo3 

2121 
3339 

435? 
5475 
6593 
'77C19 
8826 

9943 

loSo 
3175 
3290 
4406 

5531 

6635 

775o 
8864 


98669978 


0 
3093 

3207 
4319 

5433 

6544 

7656 
8768 
9879 


3I0I 
3211 

4321 

543 1 
654 1 

7650 
8760 
9868 

0977 
3o85 

3193 
43oi 
54o8 

65 1 5 
7623 

8739 
9835 
0941 
3o46 
3 1 52 

4257 
5362 
6466 
7571 
8675 

9778 
0883 
1985 
3o88 
4191 


1091 

2ao5 
33 1 8 
443  i 
5543 

6655 

7767 
8879 
9990 

IIOI 

3213 
3322 

4433 
5542 

6652 

7761 
8870 

9979 
1088 

3196 

33o4 
44 11 
55 1 9 
(1626 

7733 

8839 
9945 
io5i 
2157 
3363 

4368 

5472 

6577 
7681 
8785 

9889 
0993 
2095 
3198 
43oi 


887718980 
9996*100 

1 1 1 5]  1 327 
a  345 
3463 


2233 

335i 


4469  458 1 
5698 
6816 
7933 
9049 

0166 
1282 
3398 
35i3 
4639 

5744 
6858 

7973 
9087 
0201 

i3i4 

2427 
3540 
4653 
5765 

6878 
7989 
9101 
0212 
i323 

2434 

J344 
4655 
5764 
6874 

7983 
9092 
0201 
1 309 

2417 

3525 
4633 
5740 
6847 
7954 

9060 
0167 

1373 

3378 

3483 

4588 
5693 


5587 

6704 
783 1 
8938 

♦o54 
1170 
2386 
3402 
4517 

5632 
6747 
7861 
8975 
♦089 

12o3 

23i6 
3429 
4542 
5654 

6766 
7878 
8990 
♦lOi 

1313 

2333 

3433 
4544 

5653 
6763 

7873 
8981 
♦090 
1 1 99 
23o7 

341 5 

4532 

563o 

6737 
7843 

8950 
♦o56 
1 162 

3368 

3373 

4478 
5583 
6687 
7792 
8895 

999? 

iio3 

3306 
33o8 
44ii 


7903 

9006 

♦  no 

I3l3 

23i6 

3419 
4521 


9101 
0220 
1 338 

2457 
3575 

4693 
58 10 
6927 
8044 
9161 

0277 
1394 
2509 
3625 
474o 

5855 
6970 
8084 
9198 

o3l2 

1436 
2539 
3652 

4764 
5877 

6989 
8101 
9212 
o323 
1434 

3545 
3655 


5875 
6985 

8094 
9203 
o3i2 
1 4  30 

2538 

3636 

4744 
585i 
6958 
8o65 

9171 

0277 
1 383 
3489 
3594 

4699 

58o4 

67986908 


8013 
91 16 

033O 

i323 
2426 
3529 
4632 


93139325 
o332Jo443 
r45o  i563 
25692680 
3687J3798 

48o4!49i6 
5932]6o34 
703971 5i 


81 56 
9273 

0389 
i5o5 
3621 

3736 
4852 

5967 
7081 
8196 
9310 
0423 

i537 

265o 
3763 
4876 


8268 
9384 

o5oi 

1617 
3732 
3848 
4963 

6078 
7193 
83o7 
9431 
o535 

1648 
3761 

3874 
4987 


59886099 

7100  7311 
83128323 
9323  9434 
0434  o546 
i656 


1 545 

2656 
3766 


2767 
3877 

476648764987 


59866697 

7096 

8205 

93i4 
0433 
i53i 

3639 


3747 
4854 
5962 
7069 
8175 

9383 
o388 

1494 
3599 

3704 

4809 

5914 
7010 
8i33 
9337 

o33o 

1434 
3537 
3639 
4743 


7207 

83i6 
9435 
o533 
1642 

3750 

3858 
4965 
6073 
7179 
8286 

9393 

0498 
i6o4 
2710 
38i5 

4930 
6025 
7129 
8233 
9337 

o44i 
1 544 
2647 
3750 
4853 


0      12      3     4 


5     6     7     8     9 


DifT. 


Dilf.  ic  Mult. 


Ill 


Diff. 


I 
3 
3 

4 
5 

6 

7 
8 


1 
a 
3 

4 

5 
6 

7 
8 

9 


113 
324 

336 

448 
56o 
672 

784 
896 


III 

333 

333 

444 
555 
666 

777 
888 

999 


I 

no 

3 

3 

4 
5 
6 

220 
33o 
440 
55o 
660 

7 
8 

770 
880 

990 


Diff.  t.  Molt. 


LOGARITHMS     OF    NUMBERS. 


53 


Num. 

3940 

4i 
43 
43 
44 

45 
46 

47 
48 

49 

3950 
5i 

53 

53 
54 

55 

56 

57 
58 

59 

3960 
61 
63 
63 

64 

65 
66 

67 
68 

69 

3970 
71 

73 
73 
74 

75 
76 

77 
78 

79 

3980 
81 
8a 
83 
84 

85 
86 

87 
88 
89 

3990 
9* 
9? 

94 

96 

9Z 
98 

99 

Num. 


01234        56789 


5954962 
6064 
7166 
8268 

#  9369 

596  0470 
1 571 
2671 
3771 
4871 

5971 

7070 

8169 

«  9268 

597  o367 

1465 
2563 
366i 
4758 
5855 

695JJ 

8048 

#  9145 
5980241 

1 336 

2432 
3527 
4622 

5717 
6811 

7905 

,  8999 
599  0092 

1186 

2279 

3371 

4464 
5556 
6648 
7739 

883 1 

000  ioi3 
aio3 
3193 

4283 
5373 
6462 
755i 
864o 

#  9729 
601  0817 

1905 

'^. 

5i68 
6255 
7341 
8428 
#95 1 4 


5072 
6175 

7276 
8378 

9479 

o58o 
1681 
2781 
388 1 
4981 

6081 
7180 
8279 
9378 
0476 

1575 
2673 

3770 
4868 
5965 

7063 
8r58 
9254 
o35o 
i446 

2541 
3637 
473 1 
5826 
6920 

8014 
9108 
0202 

I2q5 
23 


93 
88 


5277 
6363 
745o 

8537 
9623 


5x83 
6285 
7387 
8488 
9589 

0690 
1 791 

2891 
3991 
5091 

6191 
7290 


5293 
6395 

7497 
8598 
9699 

0800 
1901 

3ooi 
4ioi 

520I 

63oi 
74oo 


8389  8499  8609 


3481 
4573 
5665 

6757 
7849 

8940 
♦o3i 

II23 
3213 
3303 

4392 
5482 

6571 
7660 

8749 

9838 
0926 

20l4 
3l02 

41894398 


oi4o 

I23l 
2321 

3411 

45or 
5591 
6680 

7769 
8858 

9947 
io35 

3123 
32II 


5385 

6472 
7559 
8645 
973 1 


9488 
o586 

1684 

2782 
388o 

4977 
6074 

7171 
8268 
9364 
0460 
1 556 

265 1 
3746 
484i 
5936 
7o3o 

8124 
9318 
o3n 
i4o4 
3497 

3590 
4682 

5774 
6866 

7958 
90499158 


0696 

1794 

2892 

3990 
5087 
6184 

7381 

8377 
9474 
0669 
i665 

3761 
3856 
4950 
6045 
7139 

8233 
9327 
0420 
i5i4 
2606 

3699 

4791 
5884 
6975 
8067 


0249 
1 340 
243o 
3530 

4610 

5700 
6789 
7878 
8967 

♦o55 
1144 

3233 
3319 
4407 

5494 

658i 
7667 
8754 
9840 


54o3 
65o5 

7607 
8708 
9810 

0910 

3011 

3iii 
4311 
53ii 

64" 
7510 


9708 
0806 

1904 

3oo3 

4099 
5197 

6294 

7391 

8487 

9583 
0679 

1775 

3870 
3965 
5o6o 
61 54 
7349 

8343 

9436 
o53o 
1623 
2716 

38o8 
4901 
5993 
7084 
8176 

9267 
o358 

1449 
2539 
3629 

4719 
5809 

6898 

7987 
9076 

0164 
1353 
334o 
3438 
45i6 

56o3 
6690 

7776 
8862 
9948 


55i3 
66i5 

7717 
8818 
9920 

1020 
2121 

3221 
4321 
5421 

6521 
7620 

8719 
9817 

0916 

20l4 
3lI2 

4209 
53o6 
64o3 

7500 
8597 
9693 


0789  0898 


1884 

3980 

4075 
5169 
6264 
7358 

8453 
9546 
0639 

1732 
3825 

3918 
5oio 
6102 

7194 
8285 

9376 
0467 
1 558 
3648 
3738 

4838 
5918 

7007 
8096 
9185 

0373 
i36i 

2449 
3537 
4624 

571 1 
6798 
7885 
8971 
♦o57 


5634 
6725 
7827 
8929 
♦o3o 

ii3i 

223l 

333 1 
443 1 
553i 

663i 
7730 
8829 
9927 
1026 

2124 

3221 
4319 
5416 

65i3 

7610 
8706 
9802 


1994 

3089 
4x84 
5279 
637i 
7467 

856i 
9655 
0748 
i84i 
2934 

4027 
5119 
62x1 
73o3 
8394 

9485 
0576 
1667 

2757 
3847 

4937 
6027 
7116 
8205 
9294 

o383 
1470 
2558 
3646 
4733 

5820 
6907 
7993 
9080 
0x66 


5734 
6836 
7937 
9039 
01 4o 

1 241 
2341 
3441 
4541 
564 1 

6741 
7840 
8939 
♦o37 
1x35 

3333 

333x 
4429 
5526 
6633 

7719 
88x6 
99x3 
1008 
3io3 

3199 

4294 

5388 
6483 

7577 

8671 
9764 
o858 
1951 
3o44 

4x36 
5228 
6320 
74x3 
85o3 

?4 
$5 
1776 
3866 
3956 

5o46 
6x36 
7225 
83x4 
9402 

0491 

1 579 

2667 

3754 
4842 

5929 
70x6 
8102 
9188 
0274 


5844 
6946 
8047 
9149 
02  5o 

x35x 
345 1 
355i 
465  X 
5751 

685o 
7950 
9048 

oi47 
X345 

2343 

3441 
4538 
5636 
6733 


5954 
7o56 
8x58 
9259 
o36o 

i46i 
256i 
366  X 
4761 
586i 

6960 
8059 
9x58 

0257 
i355 

3453 
355i 
4648 

5745 
6843 


8935 

♦032 
1117 
32l3 

33o8 

44o3 

5498 
6592 
7686 

8780 
9874 
0967 
2060 
3i53 

4245 
5338 
6429 
753X 
86x3 

9704 
0794 
1 885 
2975 
4o65 

5x55 
6244 
7334 
8423 
95x1 

0600 
1688 
2776 
3863 
4950 

6037 
7x24 
821X 
9297 
o383 


7829  7939 
9035 
oi3i 
1327 

2322 

34x8 
45x3 
5607 
6702 

7796 

8890 
9983 
1076 
2169 
336a 

4355 

5447 
6539 

7630 

8733 

9813 
0903 
1994 
3o84 
4174 

5264 
6353 
7443 
853 1 
9620 

0708 
1797 

2884 
3972 
5o59 

6x46 
7233 
83x0 
9405 
049  X 


0      12      3     4 


5     6      7     8     9 


Diff. 


IXO 


109 


Diff. 


Diff.  &  Mult. 


1 

110 

2 

3 

4 
5 
6 

230 

33o 

440 

55o 
660 

7 
8 

770 
880 

9 

990 

I 
3 

11 

3 

337 

4 

436 

5 

545 

6 

654 

7 

763 

8 

873 

9 

981 

I 

3 

3 

4 
5 
6 

7 
8 


108 
216 

334 
433 
540 
648 
756 
864 
973 


Diff.  &  Malt 


"lll!!aRBIKli;»i:7™' 


54 


LOGARITHMS    OF    NUMBERS 


0      12      3     4 


5     6     7     8     9 


^7 
38. 


002  i^yoo 
1 686 
9771 
3856 
4941 

6025 

■7109 

8193 

•   9^77 

6o3  o36i 


1444 

3600 
4699 
5774 

6855 
7937 
9018 
6040099 
1180 

2261 

3'34i 
AAtf 

55oo 
658o 

76S 

07* 

«   9816 

6050895 

1973 

3o5o 
4128 

52o5 
628a 
7359 

8435 

•  951  a 
6060587 

1 663 
1739 

38i4 
4880 
5963 

7037 
81 1 1 

•  9185 
6070359 

1 33  2 
a4o5 
3478 

455o 

66o4 

7766 

8837 


0708 
1794 
2879 
3964 
5o49 

61 34 

7218 

83oa 
9385 
0469 

1 552 
2635 
3717 
4800 
5882 

6964 
8045 


0817 
I903 
2988 
4073 
5i58 

624a 

73a6 

84 10 

9494 

o577 

1660 
2743 
3826 
4906 


1769 

285 1 

3934 

5oi6 
59906098 

7072 
8 1 53 


91269235 
o3i5 
1396 


0207 
1288 

2369 

3449 

452 


7'767 
8846 
9924 
looa 
ao8o 

3i58 
4236 

3^1 3 


a477 
3557 
4637 
5716 


6688  6796  6903 


7875 
8953 

♦032 
1 1 10 

2188 

3266 

4343 

54a  I 


6390  6498 

7467  7574 


8543 
9619 
0695 

1771 
2846 

3921 

4996 
6071 
7145 
8219 

9??3 
o366 
1439 

25l2 

3585 

4657 

5730 
680a 
7873 
8945 


3096 
4t8i 
5266 


6459 
754J 
8627 
971 1 
0794 

1877 
2960 
4o42 
5i24 
6206 

7288 
8370 
9451 
o532 
161 2 


865i 

9727 
o8o3 

1878 
2954 

4029 
5io3 
6178 
7a52 
83a6 

9400 

0473 

1 547 
2620 
3692 


2727 
38oo 


69097016 


7980 
9052 


8866 

9942 
1018 

2O03 


4244 
53i8 


854i 


8087 
9159 

023o 

i3oi 

2371 
3441 
45ii 


1 143 
2228 
33i3 

4398 
5483 

6567 
765 1 
8735 
9819 
0902 

1985 

3o68 
4i5o 
5233 
63i5 

7396 
8478 


12S1 
2337 
342a 
4507 
5591 

66766784 
7868 
8952 
♦o36 
1119 

2202 

3284 
4367 
5449 
653 1 

7613 
8694 


75o4 
8586 


9559  9667  9775 


0748 
i8a8 


0640 
i7ao 

a8oi 
388i 
4961 
6a4o6i48 

71197227 


8198 

9277 

o355 

1434 
aSia 


4667 

5744 
68a  I 
7897 

8974 
«o5o 


435 1 
54a6 
65oo 

7574 
8648 


5o86 
61 58 
723o 


83o6 
9385 
o463 
i54t 
2619 


4774 
585i 
6928 
8oo5 

9081 
01 57 
ia33 
23o8 
3384 


)3 


9820 

0903 

1976 

3o4s^3 

4iai 


5iq4 
6206 

7337 


o856 
1936 

3oi7 
4097 
5176 
6256 
7335 

84i4 
9493 
0571 
1649 

2727 


3589  3697  38o5  3912 


3639  ^7^7 


4724 
58o8 

6893 

7977 
9060 

0144 

1227 

a3io 

3393 
4475 
5557 
6639 

7721 
8802 
9883 
0964 
2o44 

3i25 
42o5 

5284 
6364 

7443 

8522 

9601 


1757 
2835 


9189 

oa65 
1 340 
a4i6 
3491 

4566 
564i 
6715 

7789 
8863 


7144 
8a  20 

9296 
0372 
1 448 
a523 
3599 


83o2  8409 
93739480 

0444 
i5i5 
2585 
3656 
4725 


53oi 
6373 
7445 
85i6 

9587 

o658 
1739 

2799 
3870 

4939 


4832 

5917 

7001 
8o85 
9169 
oa52 
i335 

2418 

35oi 
4583 

5665 

6747 

7829 
8910 
9991 

107a 
ai52 

43i3 
539a 

6472 

755i 

863o 
9708 


06790787 


i865 
2943 

4020 
5098 
6175 
725i 
8328 

9404 
o48o 
i556 
263 1 
3706 

4674  4781 

5748" 

6823 

7897 

8971 

oi5i 

1225 
2298 
3371 

4443 


ai 


IQO 

3263 

4336 


190636 


54o8  55i5 

648o6587 

755a 

86a3 

9694 


0872 
1943 
"  i3 
4o84 
5i53 


108 


MmL  01234        56789 


107 


Die  At  Malt. 


I 

107 

a 

ai4 

3 

321 

4 

428 

5 

535 

6 

64a 

7 
8 

74q 
856 

9 

963 

LOGARITHMS     OF     NUMBERS. 


55 


DUr.      Diir.  k.  Mah. 


Num. 

4090 

61 
62 
63 

64 

65 
66 

67 
68 
69 

4070 
71 
7a 
73 
74 

75 
76 

77 
78 

79 

4o8o 
81 
82 
83 
84 

85 
86 
87 
88 
89 

4090 
91 

93 
94 

98 
99 

4i  00 
01 
02 
o3 
04 

o5 
06 

07 
08 
09 

4i  10 
II 
12 
i3 
14 

i5 
i6 

17 
18 

»9 
Num. 


0      12      3     4 


5     6     7     8     9 


6O8S260 
633o 

8468 

#  9537 

6090605 
1674 
2742 
3809 
4877 

5944 
7011 
8078 

#  9144 
6100210 

1276 
2342 
3407 
4472 
5537 

6602 
7666 
8730 

#  97?4 
61 1  08D7 

192 1 

2984 
4o46 
5109 
6171 


7233 

8295 

♦  9356 

612  0417 

1478 


*  99^7 
6i3  ioi5 

2074 

3i32 

4189 
5247 
63o4 
736i 

84i8 

*  9475 
6i4o53i 

1 587 
2643 

3698 

4754 
5809 
6863 
79»8 


5367 
6437 
75o6 
8575 
9644 

0712 
1781 
2849 
3916 
4984 

6o5i 
7118 
8184 
9261 
o3i7 

1 383 
2448 
35i4 
4579 
5644 

6708 

7772 
8836 
9900 
0964 

2027 

3090 
4i53 
52i5 

6277 


7339 

84oi 
9462 
0524 
1 584 

2645 
3706 
4766 
5826 
6885 

7944 
9004 
♦06a 
1121 

2179 

3a37 

4295 
5353 
64io 
7467 

8524 
9580 
0637 
1693 
2748 

38o4 
4859 
5914 


5474 
6544 
7613 
8682 
975 1 

0819 
1887 
2955 
4o23 
5090 

6157 
7224 
8291 
9357 
0423 

1489 
2555 
3620 
4685 
5750 

68i5 

7879 
8943 
♦007 
1070 

2i33 

3196 
4259 
5321 
6384 


7445 
85o7 
9569 
o63o 
1691 

2751 
38i2 
4872 
5931 
6991 

8o5o 
9109 
0168 
1227 

2285 

3343 

44oi 
5459 
65i6 

7573 

863o 
9686 
0742 
1798 
2854 

3909 
4965 
6020 

7074 
8129 


558i 
665i 
7720 
8789 
9858 

0926 

^994 
3062 

4i3o 

5197 

6264 
733 1 
8398 

9464 
o53o 

1596 

2661 
3727 
4792 
5856 

6921 

7985 
9049 
ori3 
1 176 

2240 
33o2 
4365 
5428 
6490 


7552 
861 3 
9675 
0736 
1797 

2857 
3918 
4978 
6037 
7097 

8i56 
9215 
0274 
1 333 
2391 

3449 
4507 

5564 
6621 
7678 

8735 
9792 
o848 
1904 
2960 

4oi5 
5070 
6125 
7180 
8234 


5688 
6758 
7827 

io33 
2101 
3169 
4236 
53o4 

6371 
7438 
85o4 
9571 
0637 

170a 
2768 
3833 
4898 
5963 

7027 
8092 
9i56 
0219 
1283 

2346 
3409 

4471 
5534 
6596 


7658 

8719 
9781 

0842 

1903 

2963 

4024 
5o84 
6143 
7203 

8262 
9321 
o38o 
1439 

2497 

3555 
46i3 
5670 

6727 
7784 

884i 
9897 

0954 
2009 
3o65 

4l2I 

5176 
623i 
7285 
834o 


5795 
6865 
7934 
9003 
♦071 

ii4o 
2208 
3276 
4343 
54ii 

6478 
7544 
8611 

9677 
0743 

1809 
2874 
3940 
5oo5 
6069 

7134 
8198 
9262 
o326 
1389 

a45a 
35i5 
4578 
564o 
6702 

7764 
8826 

9887 
0948 
2009 


3069 
4i3o 
5190 
6249 
7309 

8368 
9427 
o486 

1 544 
2603 

366i 

4718 
5776 
6833 
7890 

8947 
♦oo3 
1059 

2Il5 

3171 

4226 
5281 
6336 
7391 
8445 


5902 
6972 
8o4i 
9110 
0178 

1246 
23i5 
3382 
445o 

55x7 

6584 
7651 
8718 

9784 
o85o 

1916 
2981 
4o46 
5iii 
6176 

7240 
83o4 
9368 
0432 
1495 

2558 
3621 

4684 
5746 
6808 

7870 
8932 
9993 
io54 

2Il5 


3175 
4236 
5296 
6355 
74i5 

8474 
9533 
0592 
i65o 
2708 

3766 
4824 
588 1 
6939 
7996 

9o5a 
0109 
n65 
2221 
3276 

4332 
5387 
6442 
74?6 
855o 


6000 
7078 
8i48 
9216 
0285 

i353 
2421 
3489 

4557 
5624 

6691 
7758 
8824 
9890 
0956 

2022 
3o88 
4i53 
5218 
6282 

7347 
84ii 
9475 
o538 
1602 

2665 

3728 
4790 
5852 
6915 


6116 
7185 
8254 
9323 
0392 

1 460 

252.8 

3596 

4663 
5731 

6798 
7864 
8931 

9997 
io63 

2129 

3io4 
4259 
5324 


7976 
9o38 
♦099 
1160 
2221 

3281 
4342 
5402 
646 1 
7521 

858o 
9639 
0698 
1756 
2814 

3872 
4930 
5987 

7044 
8101 

91 58 
0214 
1270 
2326 
3382 

4437 
5492 

6547 
7602 

8656 


7453 
85i7 
9581 
0645 
1708 

2771 
3834 
4896 
5909 
7021 


6223 
7292 
836i 
943o 
0499 

1 567 
2635 
3703 

4770 
5837 

6904 

7971 
9637 
♦  io4 
1 170 

2235 

33oi 
4366 
543i 


Diff. 


6389  6495 


8082 
9144 

0205 

1266 
2327 

3387 

4448 
55o8 
6667 
7627 

8686 
9745 
o8o3 
1862 
2920 

3978 
5o36 
6093 
71 5o 
8207 

9263 

0320 

1376 

2432 

3487 

4543 
5598 

6652 

7707 
8761 


7560 
8624 
9687 
0751 
1814 

2877 
3940 
5oo3 
6o65 

7127 

8189 
9250 
o3ii 
1372 
2433 

3493 
4554 
56i4 
6673 

7733 

8792 
9851 
0909 
1968 
3oa6 

4o84 
5i4i 
61QQ 


7256 
83x3 

9369 
0425 
1482 
2537 
3593 

4648 
5703 
6758 
7812 
8867 


Q      1     2      3     4        5     6     7      8      9 


106 


Diff.  &  Mult. 


Diff. 


I 

107 

a 

214 

3 

321 

4 

428 

5 

535 

6 

642 

7 

749 

8 

856 

9 

963 

1 

106 

2 

212 

3 

3i8 

4 

424 

5 

53o 

6 

636 

7 

742 

8 

848 

9 

954 

I 

io5 

2 

210 

3 

3i5 

4 

420 

5 

525 

6 

63o 

7 

735 

8 

84o 

9 

945 

Diff.  Sc  Molt. 


LOGARITHMS    OF    NUMBERS. 


L 


r 


'ill' 


If  Hill* 
41tO 

2.3 

a4 

95 

m 
39 

4i  3o 
3i 

32 

33 
35 

Jkm 
37 

'38 

% 

4i  4^ 
4i 
4? 
43 
44 

45 
46 

47 
48 

4i  5o 

5i 

>«JP'jE 

-54 

55 
56 

5? 
58 
59 

4160 
6f 
63 
63 

64 

65 
'66 

67 
68 
69 

4170 
71 

73 
73 
74 

75 

70 

77 
78 

79 

film. 


0      12      3      4 


5     6     7      8     9 


014  8972 

61 5  0026 

1080 

3 1 33 

3187 


4340  4345  445o  4555 
5292  53o7p5o3 
6345  645o  6555 
7397  7502I7607 


84498554865987648870 


♦  9501 
6i6o552 

i6o3 

3654 

3705 

4755 
58o5 
6855 
7905 
8954 

6170003 

1052 
2 1 01 

3 149 
4197 

5a45 
6293 

7340 
8387 

•  9434 

618  o48i 

1.527 
2573 
3619 
4665 

5710 

6755 


907891839288 


01 33  0337 
ii85  1291 
3339  a344 
3292  3397 


9606 

o657 
1708 
2759 
38 10 


9711 

0762 
i8i3 
2 
3915 


4860  4965 
5910  601 5 
69607065 
8oio8ii5 
9059  9164 


o586o6oo 
i632  17J7 
2678  2783 
3724  3838 
4769  4874 

58155919 
68606964 
7800  7905  8009 
8845  8949  9054 


«  98899994 


6190933 

1977 
3o3i 
4664 
5 107 

6i5o 

71  o3 
8235 

«  9277 
6200319 

i36i 
3402 
3443 
4484 
5534 


0108 

1 1 57 
2206 
3254 
43o2 

535o 
6398 
7445 
8492 
9539 


02l3 

1363 

23ll 

3359 

4407 

5|55 
65o2 
755o 
8597 
9644 


o342 
1396 

3449|a555 
36o8 

4661 

5713 


35o3 


56o8 
6660 

77 '9 


66606766 
7818 


9816 

0867 

1918 

86413969 


io38 
2082 
3i35 
4168 
5212 

6354 
7297 
8339 
9381 
0423 

i465 
25o6 
3547 
4588 
5628 


6565 
7605  7709 

86458744 

*  96849780 

62107240828 


♦096 

1 142 
2186 
3229 
437J 
53i6 

6359 
74oi 
8443 
9485 
o527 

1569 
2610 
365 1 
4692 
5733 


66696773 


7813 
8853 
9893 
0933 


9394 
o448 
i5oi 


4o3o 

5070 
61 30 

7170 
8220 
9269 

o3i8 
1 367 
24i5 
3464 
45 1 2 

556o 
6607 
7655 
8702 
9748 

0795 
i84i 
3887 
3933 
4979 

6024 
7069 
8114 
91 58 
0202 

1346 
2290 
3334 
4377 
5420 

6463 
75o5 
8548 
9590 
o63i 

1673 

2714 
3755 
4796 
5837 


6877 
79^7 
8957 


9921 

0972 
3024 
3o74 
4i35 

5175 

6325 

7375 
8325 
9^74 

0423 
1472 
aSao 
3569 
4617 

5664 
6712 
7759 
8806 
9853 

0900 
1946 


5o83 

6138 

7173 
8218 
9263 
o3o7 

i35i 
2395 
3438 
448i 

5524 

6567 
7610 
8652 
9604 
0736 

1777 
3818 
3859 
4900 
5941 


6981 
803 1 
9061 
♦100 
1 139 


9499960597109815 


o553;c)658  0764 


1607  1712 
2660  2765 


3713 

4766 
58i8 
6871 

ISll 

8975 

♦oa6 

1078 
2129 
3 179 
433o 

5280 
633o 
738o 
843o 

9479 

o528 

1 577 
2635 
3673 
4721 

5769 

6817 

7864 
891 1 
9958 

1004 
3o5o 

OrClOO 

4i43 
5i88 

6333 
7278 
8323 
9367 

o4ii 

1455 

2499 
3542 
4586 
5629 

6671 

7714 
8756 
9798 
o84o 


38i8 


5924 
6976 
8oa8 


1817 
2871 
3934 


4871  4976 


9080  9185  9290  9395 


oi3i 
ii83 
3334 
3384 
4335 

5385 
6435 
7485 
8535 
9584 

o633 
1683 
2730 

3778 
4826 

5874 
6921 
7960 
9016 

♦062 


109 
ii55 


1881 
2922 
3963 
5oo4 
6045 

7085 
8125 
9165 
0204 
1243 


II 
2 
3  20 1 

4247 
529a 

6337 

7382 
8437 
9471 
o5i6 

i56o 
2603 

3647 
4690 

5733 

6776 
7818 
8860 
9902 
0944 


6029 
7081 
8i33 


0237 
1288 
2339 


444o 


5490 
654o 
75oo 
8639 
9689 

0738 
1786 
2835 
3883 
4931 


0869 
1923 

2976 
4029 

5082 
61 34 
71867 
8238 


o343 
1393 

2444 


3390  3495 


597 

7031 

8073 

9130 

0167 

I3l3 

2260 
33o6 
435 1 
5397 

6443 

7487 
853 1 
9576 
0620 

1664 
3708 
3751 
4794 
5837 

6880 
7922 

8964 
♦006 
io48 

2000 
3i5i 
4172 

5213 

6253 

7393 

8333 
926919373 
o3o8|o4i2 
i347'i45i 


1985 
3o27 
4o68 
5io8 
6149 

7189 
8229 


9921 

0975 
2028 
3o8i 
4i34 

5187 

6239 

393 

8344 


4545 

5595 
6645 
7695 
8744 
9794 

0843 
1 891 
2940 
3988 
5o36 

6o83 
7i3i 
8178 
9335 

0272 

i3i8 
2364 
3410 
4456 
55oi 

6546 
7591 
8636 
9680 

0725 

1768 
3813 
3855 
4899 
5942 

6984 
8027 
9069 
oil] 

ll52 

2194 
3235 
4376 
53i6 

6357 

73§7 

8437 
9476  958 
o5i6 
i555 


0447 
1498 
3549 
36oo 
465o 

5700 
6750 
7800 
8849 
9899 

0947 
1996 
3o45 
4093 
5i4i 

6188 
7236 
8a83 
9330 
0376 

1423 
2469 
35i5 
456o 
56o6 

665 1 
7696 
8740 
9785 
0829 

1873 
3916 
3960 
5oo3 

6o46 

7088 
8i3i 
9173 

02l5 

1256 

2298 
3339 
438o 
5420 
646i 


75oi 
854 1 
o 
0620 
1659 


Diff. 


0      12      3     4 


5     6     7     8     9 


io5 


Diff.  &  MuIU 


io4 


Difl*. 


1 

a 
3 

4 
5 
6 

7 
8 

9 


106 


a 

213 

3 

3i8 

4 

434 

5 

53o 

6 

636 

7 

742 

8 

848 

9 

954 

io5 

3IO 

3i5 
420 
535 

63o 

735 
84o 
945 


I 

io4 

3 

308 

3 

3l3 

4 

4i6 

5 

520 

6 

624 

7 

728 

8 

833 

9 

936 

DiC  it  MalU 


LOGARITHMS     OF     NUMBERS. 


67 


Num. 

4180 

81 
82 
83 
84 

85 
86 

87 
88 
89 

4i  90 

91 

91 
93 

94 

95 

96 

9Z 
98 

99 

4300 
01 
03 
o3 
o4 

o5 
06 
07 
08 
09 

42  10 
II 
12 
i3 
i4 

i5 

16 

17 
18 

19 

42  20 

31 
22 
23 

24 

25 

26 

27 
28 
29 

42  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 


0      12      3     4 


5     6     7     8     9 


621  1763 
2802 
384o 
4879 
5917 

6955 

79 
90  JO 

622  0067 
iio4 


1867  1971 
29066009 
3944  4o48 
4982  5o86 


2i4o 
3i77 
42 1 3 
5249 
6284 

7320 

8355 

#  9390 

623  0424 

1459 


2493 
3527 
456o 
5594 
6627 

7660 

8693 

#  9725 

624  0757 
1789 

2821 
3852 
4884 
5915 
6945 

7976 
9006 

625  oo36 
1066 
2095 


6021 

7o58 

800 

9133 

0170 

1207 

2244 
3280 
43x6 
5352 
6388 

7423 
8458 
9493 
o528 
1 562 


25< 

36jo 
4664 
5697 
6730 

7763 
8796 
9828 
0861 
1892 


6124 

7162 
8200 
9237 
0274 
i3ii 

2348 
3384 
4420 
5456 
6491 

7527 
8562 

'If, 

1666 


2075,2178 
3ii3  3217 
4i52i4256 
5190I5294 
62286332 


2700 

3734 

4767 
58oi 

6834 

7867 

8899 

993 

0964 

1996 


7266 
83o3 
9341 
0378 
i4i5 

245 1 

3487 

4524 

555( 

659 

763o 
8665 
9700 
0735 
1769 


29243027 


3956 

4987 
6018 
7048 

8079 

9109 

0139 

11" 

21 


3i25 
4i54 
5182 
6211 
7239 

8267 

#  9295 
6260322 

i35o 

2377 

3404 
443o 
5457 
6483 
7509 

8534 

*  9560 
627  o585 

1610 
2634 


3227 
4256 
5285 
63i4 
7342 

8370 
9398 
0425 
1453 
2480 

35o6 
4533 
555g 
6585 
761 1 

8637 
9662 
0687 
1712 

2737 


4o59 
5090 
6121 
7i5i 

8182 
9212 
0242 
1272 
23oi 

333o 
4359 
5388 
6416 
7445 


2803 
3837 
4871 
5904 
6937 

7970 
9002 
♦o35 
1067 
2099 

3i3o 
4162 
5193 
6224 
7254 

8285 
93i5 
0345 
1375 
2404 

3433 
4462 

5491 
65i9 
7548 


7370 
8407 
9444 
0482 
i5i8 

2555 
3591 
4627 
5663 
6698 

7734 
8769 

9804 
o838 
1872 


84738575 
95009603 


0528 
i555 

2582 

3609 
4636 
5662 
6688 

7714 

873 
976 
0790 

i8i4 
2839 


o63i 
i658 
2685 

3712 
4738 
5764 


2906 
3940 

4974 
6007 
7040 

8073 
9106 
oi38 
1 1 70 
2202 

3234 
4265 
5296 
6327 
7358 

8388 
9418 
o448 
1478 
2507 

3536 
4565 

5594 
6622 
765o 

8678 
9706 
0733 
1761 
2788 

38i4 
484i 
5867 


7816 

8842 
9867 
0892 
1917 
2942 


6790  6893 


7919 

8944 
9970 
0995 
2019 
3o44 


2282 

3321 

4359 

53 

6436 

7473 
85ii 
9548 
o585 
1622 


2386;  2490 
3425,3529 
44634567 
55o2  56o5 
65406643 


25941 2698 
3633  3736 


2658 
3695 

47^ 

5766 

6802 

7837 
8872 
9907 
0942 
1976 

3oio 

4o44 
5077 
61 1 1 
7144 

8176 
9209 
0241 
1273 
23o5 


8280 
9312 

o344 
1 377 
2408 

3337  3440 
4368  4471 
5399  55o2 
6430  6533 
7461  7564 


7577 
86i5 
9652 
0689 
1726 

2762 
3798 
4834 
5870 
6906 

7941 
8976 
♦oil 
1045 
2079 

3ii3 

4x47 
5i8i 

6214 

7347 


7681 
8718 
9756 
0793 
1829 

2866 
3902 
4938 
5974 
7009 

8044 
9079 

oii4 
ii48 
2i83 

3217 
425o 
5284 
63i7 
735o 


4671 
5709 
6747 

7785 
8822 
9859 
089" 
1933 

2^ 

4c 

5o4i 
6077 
7ii3 

8i48 
91 83 
0217 

1252 
2286 


8491 
9521 

o55i 
i58i 
2610 

3639 
4668 
5697 
6725 
7753 

8781 
9809 
o836 
i863 
2890 

3917 
4943 
5970 
6996 
8021 

9047 
♦072 
1097 

2132 

3i46 


8594 
9624 
o654 
i683 
2713 

3742 

4771 

5799 
6828 

7856 

8884 
9911 
0939 
1966 
3993 

4o2o 
5o46 
6072 
7098 
8124 

9149 
0175 
1200 
2224 
3249 


8383 
94i5 
o448 
i48o 

25ll 

3543 

4574 
56o5 
6636 

7667 

8697 

9727 
0757 
1786 
2816 

3845 

4874 
5903 
6931 
7959 

8987 

♦oi4 

1042 

2 

3 


3320 
4354 
5387 
6420 
7453 

8486 
9519 
o55i 
1 583 
2615 


4775 
58i3 
685i 

7888 
8926 
9963 
1000 
2037 

3073 

4iO( 

5i4 

6x81 

7216 

825i 
9286 
o32i 
1 355 
2389 


3423 
4457 
5491 
6524 
7557 

8589 
9622 
o654 
1686 
2718 


3646  3749 
4677  4781 
57085812 
6739  6842 


7770 

8800 
9830 
0860 
1889 
2919 

3948 

4977 
6oo5 
7o33 
8062 


4l22 

5i49 
6175 
7201 
8226 

9252 
0277 
i3o2 
2327 
335 1 


9089 
0117 

ii44 
2171 
3198 

4225 
525i 
6277 
73o3 
8329 

9354 
o38o 
i4o5 
2429 
3454 


7873 

8903 
9933 
0963 
1992 

3022 

4o5i 
5079 
6108 
7i36 
8164 

9192 
0220 
1247 
2274 
33oi 

4328 
5354 
638o 
7406 
8432 

9457 
0482 
i5o7 

2532 

3556 


Nam. 


0 


3      4 


5     6     7      8     9 


Diff*.       Diff.  &,  Mulu 


io3 


Diff. 


1 

104 

3 

208 

3 

3l2 

4 

4i6 

5 

520 

6 

624 

7 

728 

8 

832 

9 

936 

I 

io3 

3 

306 

3 

309 

4 

412 

5 

5i5 

6 

618 

7  721 
824 
927 


I 

103 

3 

204 

3 

3o6 

4 

4o8 

5 

5io 

6 

612 

7 

714 

8 

816 

9 

918 

Diff.  k  Mulu 


8 


4^ 


INTENTIONAL  SECOND  EXPOSURE 


■■ 


5o 


LOGAKITHMS     OF     NUMBERS. 


4120 

31 

a3 

26 

29 

4 1  3o 
3i 

32 

33 
34 

35 
'36 

38 
39 

4i  4o 

43 

43 

4S 
46 

47 

■•Hy 

4i  5o 
5i 

52 

54' 

56 

57 
58 
59 

4160 
61 
62 
63 
64 

65 
66 

67 
68 
69 

4170 

71 

72 

73 
74 

75 
76 

77 
76 

79 

.Hmn. 


0123     4         56789 


614  897219078  9183 
6i5tx)26oi32  0237 


1080 
2 1 33 
3187 

4240 

5202 

6345 
7397 
8449 

•  9501 
6i6o552 

i6o3 
2654 
3705 

4755 
58o5 
6855 
7905 
8954 

6i7cxx)3 
io52 

3IOI 

3i49 
4197 

5245 


ii85  1 291 
2239  2344 
3292,3397 


4345'445o4555 
5397|55o3  56o8 

645o  6555  6660 

750276077712 
855418659  8764 


96069711 


o657 
1708 


0762 
r8i3 


27592864^969 


38 10 


3915 


4860  4965 
5910 
6960 
boio 
9059  9164 


6bi5 
7065 
8ii5 


0108 
II 57 
2206 
3254 
43o2 

DODO 


62936398 


7340 

8387 

•  9434 

618  o48f 
1527 

2573 
36io 
4003 


7445 
8492 
9539 

o586 
i632 

2678 
3724 
4769 

58i5 
6860 


5710 

6755 
7800 
8845 
•  98899994 


6190933  I  o38 
1977  2082 
3o2i  3i25 
40644 168 

5 107  5212 

61 506254 
7193  7297 
8235  8339 

•  9277938' 
62003190423 

i36i  i465 
2402  25o6 
3443  3547 

4484  4588 
5524  5628 

0303 

76057709 

86458749 

•  96849788 
621  072410828 


92889394 


o342 
1396 


u448 
i5oi 


244913555 
35o2 


9816 

0867 
1918 


4bao 

5070 
6130 

7170 
8220 


36o8 

4661 
57i3 
6766 
7818 

8870 

9921 

0972 
2024 
3o74 
4i25 

5175 
6225 
7275 
8325 


9269  9374 


02l3 

1262 

23ll 

3359 
4407 

5455 
6302 

755o 
8597 
9644 

0690 
1737 
2783 
3828 
4874 


o3i8 
1 367 
241 5 
3464 
45 1 2 

556o 
66<y7 
7655 
8702 
9748 

0795 
1841 
2887 
3933 

4979 


59196024 

69647069 

79058009  81 14 

-^  ^^91 58 

020a 


8949  9054 


♦098 

1 142 
2186 

322* 

427 

53i6 


9 
3 


6359 
74oi 
8443 
9485 
0527 

1569 
2610 
365 1 

4602 
5733 


1246 
2290 
3334 

4377 
5420 

6463 
75o5 
8548 

?^?' 
o63i 

1673 

2714 
3755 

4796 
5837 


666967736877698 


7813 
8853 
989: 
093: 


o423 

1472 
2520 
3569 
4617 

5664 
6712 
7759 
8806 
9853 

0900 
1946 
2902 
4o38 
3o83 

6128 

7173 
8218 
9263 
o3o7 

i35i 
2395 
3438 
448i 
5524 

6567 
7610 
8653 

0736 

1777 
2818 

OO'U^O 

4900 

5941 


7017 

8957 


I 
8021 
9061 
♦100 
1 139 


94901 9605  97 10  98 1[  5 

o553  o658  0764 


1607 
2660 
3713 


47664871 


592. 

6976 

8028 


1712 
2765 
38i8 


58i8 
6871 
7923 
8975 

♦026 

1078 
2129 
3179 
423o 

5280 
633o 
738o 
843o 

9479 

o528 

1 577 
3635 
3673 
4721 

5769 
6817 

7864 
8911 
9958 

1004 
2o5o 
3096 
4143 
5i88 

6233 

7378 
8323 
9367 
o4ii 

1455 

2499 
3543 

4586 

5639 

6671 

7714 

8756 
9798 
o84o 

1881 
3923 
3963 
5oo4 
6045 

7085 
8125 
9165 
0204 
1243 


4976 


46629 


7081 
8i33 


90809185 


oi3i 
ii83 

2234 

3284 
4335 

5385 
6435 
7485 
8535 
9584 

o633 
1683 
273© 

3778 
4826 

5874 
6921 

7969 
9016 

♦062 

1109 
2i55 
3201 

4247 
5292 


1817 
2871 


0869 
1923 

2976 


3924  4029 


0237 
1288 
3339 
3390 
4440 

5490 
654o 
75oo 
863q 


7382 

8427 

9471 
o5i6 

i56o 
2603 

3647 
4690 
5733 

6776 
7818 
8860 
9902 
0944 

1985 
3o37 
4068 
5io8 
6149 

7189 
8229 
9269 
o3o8 
i347 


5082 
61 34 
7186 
8238 
9290 

o34a 
1393 
2444 
3495 
4545 

5595 
6645 
7695 
8744 


96899794 


0738 
1786 
2835 
3883 
4931 

5979 
7026 
8073 
9120 
0167 

I2l3 

2260 
33o6 
435 1 
5397 

6337  ^9 

7487 
853i 
9576 
0630 


0843 
1891 
3940 

3988 
5o36 

6o83 
7i3i 
8178 
9225 

0272 

i3i8 
2364 
3410 
4456 
55oi 

6546 
7591 
6636 

9680 
0725 


1664 
2708 
3751 

4794 
5837 

6880 
7922 


2090 
3mi 
4173 

5212 
6253 

72 

83 
9373 
o4i2 
i45i 


9921 
0975 
2028 

3o8i 
4i34 

5187 
6239 
7292 

8344 
9395 

0447 
1498 
2549 
36oo 
465o 

5700 
6750 
7800 
8849 
9899 

0947 
1996 
3o45 
4093 
5i4i 

6188 
7236 
8283 
9330 
0376 

1423 

3469 
35i5 
456o 
56o6 

665i 
7696 
8740 
9785 
0829 


Diff. 


1768 
2812 

3855 

4899 
5942 

6984 
8027 


89649069 

♦006 

io48 


oil  I 

Il52 

3194 

3235 

4376 
53i6 
6357 

7357 
S4h 
9476 
o5i6 
i555 


1873 
3916 
3960 
5oo3 
6o46 

7088 
8i3i 
9173 

02l5 

1256 

3398 
3339 

438o 
5430 
646i 

75oi 
854i 
9580 
0620 
1659 


io5 


Dim  &  Mult. 


3 

3 
4 
5 
6 

7 
8 

9 


io4 


01234        56789 


Diff. 


106 
312 

3i8 

424 
53o 
636 
743 
848 
954 


I 

io5 

a 

210 

3 

3i5 

4 

430 

5 

535 

6 

63o 

7 

735 

8 

84o 

9 

945 

I 

io4 

a 

ao8 

3 

3ia 

4 

4i6 

5 

520 

6 

624 

7 

728 

8 

832 

9 

936 

DiC  k  Halt. 


LOGARITHMS     OP     NUMBERS. 


57 


Num. 

4180 

81 
82 
83 
84 

85 
86 
87 
88 
89 

4190 
91 

91 
93 

94 

96 

98 
99 

4200 
01 
02 
o3 
o4 

o5 
06 

07 
08 
09 

42  10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

19 

42  30 
ai 
22 

23 

24 

25 

26 
27 
28 
29 

42  3o 
3i 

32 

33 

34 

35 
36 

37 
38 
39 

Num. 


0      12      3     4 


5     6     7     8     9 


621 


1763 
2802 
384o 

4879 
5917 

6955 

79 

90  JO 

622  0067 
iio4 

2i4o 
3i77 
42i3 
5249 
6284 

7320 

8355 

*  9390 

623  0424 
1459 


1867 
2906 

3944 
4982 
6021 

7o58 

80Q 

9133 

0170 

1207 

2244 
3280 
43x6 
5352 
6388 


1971 
8009 
4o48 
5o86 
6124 

7162 
8200 
9237 
0274 
i3ii 

2348 
3384 
4420 
5456 
6491 


2493 
3527 
456o 
5594 
6627 

7660 
8693 

*  9725 

624  0757 
1789 

2821 
3852 
4884 
5915 
6945 

7976 
9006 

625  oo36 
1066 
2095 

3x25 
4i54 
5182 
6211 
7239 

8267 

*  9295 
6260822 

i35o 

2377 

34o4 
443o 

5457 
6483 
7509 

8534 

*  9560 
627  o585 

1610 
2634 


7423 
8458 
9493 
o528 
1 562 


2075 
3ii3 
4i52 
5190 
6228  6332 


2178 
3217 
4256 
5294 


2596 
363o 
4664 
5697 
6780 

7768 
8796 
9828 
0861 
1892 

2924 
3956 

4987 
6018 
7048 

8079 
9109 
0x89 
ixf 

2I< 


8227 

4256 
5285 
6814 
7342 

8870 
9898 
0425 
i458 
2480 

85o6 
4588 
5559 
6585 
7611 

8687 
9662 
Q687 
1712 

2787 


7527 
8562 

9597 
o63x 
1666 

2700 
3734 
4767 
58ot 

6834 

7867 
8809 

^rt 
0964 

1996 

8027 
4o59 
5090 

6l2X 

7i5i 

8182 
9212 
0242 
1272 
2801 


7266 
83o3 

9341 
0878 
i4i5 

245i 
3487 
4524 
5559 
6595 


7680 
8665 
9700 
0785 
1769 

2808 
8887 
4871 
5904 
6987 

7970 
9002 
♦o85 
1067 
2099 


7870 
8407 
9444 
0482 
i5i8 

2555 
3591 
4627 
5668 
6698 

7734 
8769 
9804 
0888 
1872 

2906 
8940 

4974 
6007 
7040 

8078 
9x06 
0188 
1170 
2202 


3i3o  8284 
4162  4265 
5x98  5296 
62246827 
7254  7858 


333o 

435 

538 

64x6 

7445 

8478 
9500 
0528 
i555 

2582 

8609 
4686 
5662 
6688 

7714 

8789 
9765 
0790 
x8x4 
2889 


8285 
9815 
0845 
1875 
2404 

3438 
4462 
549  X 
65x9 

7548 

8575 
9608 
068  X 
i658 
2685 

8712 
4738 

5764 


78x6 

8842 
9867 
0892 
19x7 
2942 


8888 
9418 
o448 
x478 
2507 

8586 
4565 

5594 
6622 
7650 

8678 
9706 
0788 
1761 
2788 

38i4 
484i 
5867 


6790  6898 


7919 

8944 
9970 
0995 
2019 
3o44 


22821 2386!2490 
3321  8425,3529 


4359 
5398 
6436 

7473 
85ii 
9548 
o585 
1622 

2658 
8695 

47^1 
5766 
6802 


44634567 
55o2  56o5 
654o6648 


7887 
8872 

9907 
0942 
1976 

8010 

4o44 
5o77 
6111 
7144 

8176 
9209 
024  X 
1278 
2805 

3337 
4368 

643o 
7461 


7577 
86x5 
9652 
0689 
1726 

2762 
8798 
4884 
5870 
6906 


8491 
9521 

o55i 

i58i 

2610 

8689 
4668 

5697 
6725 

7758 

8781 
9809 
0886 
i863 
2890 

3917 
4943 

5970 
6996 
8021 

9047 
♦072 
1097 
2122 
3i46 


7941 
8976 
♦oil 
1045 
2079 

3ii3 

4x47 
5i8i 

6214 

7247 

8280 
9812 

0844 
1877 
2408 

844o 

4471 
55o2 

6583 

7564 


7681 
8718 
9756 
0798 
1829 

2866 
8902 
4988 
5974 
7009 

8044 
9079 

01 14 
ii48 
2188 

8217 
42  5o 
5284 
6817 
735o 

8383 
941 5 
o448 
x48o 


2594 
3638 

4671 
5709 

6747 

7785 
8822 


98599963 

0896 

1933 


2969 
4006 
5o4i 

6077 
7118 

8x48 
9188 
0217 

1252 

2286 

8820 
4854 
5887 
6420 
7458 

8486 

o55i 
x588 


2698 
3736 

4775 
58x3 
685 1 

7888 
8926 


25ii  2615 


8594 
9624 
o654 
1688 
2718 

3742 

4771 

5799 
6828 

7856 

8884 
9911 

?^ 
2998 

4020 

5o46 

6072 
7098 
8124 

9149 
0175 
1200 
2224 
8249 


8543 

4574 
56o5 
6686 

7667 

8697 

9727 
0757 
1786 
2816 

3845 

4874 
5902 
6981 
7959 

8987 
♦oi4 
1042 

2C 

8c 

4l22 

5i49 
6175 
7201 
8226 

9252 
0277 

l302 

2827 
385i 


1000 
2087 

8078 
4109 
5x45 
6i8x 
7216 

825i 
9286 
0821 
x355 
2889 

3428 
4457 
5491 
6524 
7557 

8589 
9622 
o654 
x686 
2718 


8646  8749 
46774781 
57085812 
6789  6842 
7770  7873 


8800 
9880 
0860 
1889 
2919 

3948 

4977 
6oo5 
7088 
8062 

9089 
0117 

xi44 
2171 
8198 

4225 
525x 

6277 
7808 
8829 


o38o 
i4o5 
2429 
8454 


8903 
9988 
0968 
1992 
8022 

4o5i 
5079 
6108 
7186 
8164 

9192 
0220 

1247 
2274 
8801 

4328 
5854 
6880 
7406 
8432 


9354  9457 


0482 
1 507 
2582 
8556 


0      1 


3      4 


5      6      7      8      9 


DiflT. 


Diff.  it.  Mult. 


io3 


I 
2 

3 

4 
5 
6 

7 
8 


1 
2 
3 

4 
5 
6 


Diff. 


104 
208 

3X2 

4i6 
520 
624 
728 
833 
986 


io3 

206 
809 

4l2 

5i5 
618 


7  731 

8  834 

9  I  927 


I 

I03 

3 

3o4 

3 

3o6 

4 

408 

5 

5io 

6 

61 3 

7 

714 

8 

816 

9 

918 

Diff.  ic  Mult. 


8 


^^^^^^jjj^^jO^sesKSi 


L06ABITHM8    OF    HUMBfiRS. 


4340 
4i 

42 
4J' 
44 

45 
47 

4^ 
4^ 

4a  So 
5i 

5a 
53 
54 

55 
56 

57 
58 

59 

42  60 
61 

63 
■63' 
64 

65 
66 

67' 
66 

% 

4370 
71 
71 
73 

-'"^ 

75 

76 

77 

78 

79 

4a  80 
61 
82 
83 
84 

85 
86 

87 
88 
89 

4290 
91 
92 

93 
o4 

96 

97 
98 

99 


0    1    2 


19 

3 


6ai365. 
468< 
5707 
6730 
7754 

8777 

•  9800 

6a8  0823 

1845 

1867 

3889 
491 1 
5933 

6954 
7975 


3761 


476548884990 


6833 

7856 


5oi3 

7o56 
8077 

89969098 


6290016 
io37 
ao57 

3076 

4096 
5ii5 
61 34 
7i53 
817a 

*  9190 

6300209 

1226 

2a44 
326a 


5296 
63i2 
73ao 
8345 

♦  9361 

63 1  0377 

1393 

a4o8 


8879898 

9902 

0925 

2970 


0118 
1 139 
2159 
3178 

4198 

5217 

6236 
7255 
8274 

9393 

o3io 
1 328 
2346 
3363 


3863 


591 1 
6935 


3 

3^ 


5  6  7  8  9 


66i4 
7037 


79588061 


4a79  438o 


4438 
5452 
6467 
7481 
8495 

♦  9508 
63a  o522 

i535 
a548 
356o 

4573 
5585 
6597 
7609 
8620 

*  963  a 
633  0643 

i654 
2664 
3674 


5397 

64 1 4 
743 1 
8447 

9463 
0479 
1494 


964' 


4i 
5318 


6339  634 

7260 

828 


4o68 
5093 
61 16 
7140 
8i63 

9186 
0209 
1 23a 

3254 

3376 


398 
5330 


39084 
♦0040107 
1027  1129 

2o50  3l53 

3073  3 1 74 

4094 
5ii5 
61 37 
71 58 
8179 

9200  93o3 
0220  o3  2  2 
1 241  1343 
2261  3363 
3380  338a 

43oo44o3 
5310  5431 
6338  6440 
7357  7459 
8376  8478 

93949496 
o4i2  o5i4 
i43o  1 532 
2448  2549 
3465  3567 

4482  45844686 
5499  56oi  5703 
65i6  6617  6719 
753376347735 
8548  86508753 


2509  361 1 


JD'3^! 


45394641 

"""5655 


3554 
6568 
7583 


8596  8697  8799  8900 


9610 
0623 
i636 
2649 
366a 

4674 
5686 


7710 
8722 

9733 

0744 
1755 
2765 


9564 
o58o 
1596 


3626 


7684 


I 
7362 
8383 

94o4 

0424 
1445 
2465 
3484 

45o4 
5523 
6542 
756 1 
8579 

9598 
0616 
1 634 
a65i 
3668 


96669768 


0682 
1697 

3713 
3727 

4743 

5757 


66696771 


'7765 


9711 

0724 
1737 
2750 
3763 

4775 
5788 


66986800690 


7811 
8823 

9834 
0845 
i856 
3866 


377513876 


9812 
0826 
1839 
2862 
3864 

4877 
5889 
I 
7913 


0783 

799 

2814 

3839 

4844 
5858 
687a 
7886 


0946 
1967 
3967 

3978 


99'^ 

0937 

1940 
2953 
3965 

4978 
5990 
7062 
8oi4 


8924  9035 


♦o36 
1047 
ao58 
3o68 
4079 


4171 
5195 
6219 

7a4a 
8265 

9288 
o3ii 
1 334 
2356 
3378 

4400 
54aa 

6443 
7464 
8485 

9506 
o526 

i547 
2567 
3586 


46064708 


5625 

6644 
7663 
8681 


969998' 


0717 
1735 
3753 
3770 

4787 
58o4 
6821 

7837 
8853 

088 
1900 
3915 
3930 

4945 
5969 

6974 
7988 
9001 

♦oi5 
1028 

204 1 

3o54 
4067 


4273 
5397 
63a  I 

7344 
8368 

9391 

o4i4 
i436 

2458 
3481 

45o3 
55a4 

6545 
7566 
8587 

9608 
0638 
1649 
2668 
3688 


4376 

6423 
7447 

8470 

9493 
o5i6 
1 538 
356i 
3583 


4478 
55oa 

6526 


46054707 


5626 

6647 
7669 


86898792 


5727 
6746 
7765 
8783 


or 
0819 
1 837 
2855 
3872 

4880 
5906 

692a 

793d 


9710 

0730 
I75i 

2770 
3790 

4810 

582 

684i 

7866 

8885 


8955  9o56  91 58  9260 


5079 
6091 
7io3 
8ii5 
9126 

01 37 
ii48 
2159 
3169 


9971 

0986 
2002 
3oi7 
4o32 

5o46 

6061 

7076 

808- 

910 

01 16 
ii3o 
3143 
3i55 
4i68 


9903 

0921 
1939 
2956 
3974 

4991 
6cx)7 

7024 
8o4o 


458o 
6638 


75497651 


8573 

9595 
0618 

i64i 
2663 
3685 


5728 
6750 

7771 


959. 
[869; 


♦072 
1088 
2io3 
3u8 
4i33 

5i48 
6162 

7177 
08190 
i3  9204 


9812 
o832 

1 853 

3872 
3892 

4911 
5931 
i5o 
7968 
8987 

♦oo5 
1033 
204 1 
3o58 
4075 

5092 
6io§ 

7131 
8143 


0174 
1189 

2203 
3230 

4a35 

5249 
6264 
7278 
8293 
93o6 


5i8o 
6192 
7204 
8ai6 
9227 

02  38 
1249 
2260 
3270 


4180I438 


o2i8p3i9o43o 


I33l 
3344 

3357 


4a69  4370 


5382 


6294  6395 


7365 
83i7 
9328 

0339 
i35o 
236i 
3371 
4382 


i332 
3345 
3358 


8675 

9698 
0720 
1743 
2765 

3787 

4809 
583o 
6853 
7873 

99*4 

0934 
1955 
2974 
3994 

5oi3 
6o33 
705 1 
8070 
9089 

0107 

II  25 

2142 
3i6o 

4177 

5194 

6211 
7337 
8a44 


0375 
1291 
a3o6 
3331 
4336 

535r 
6365 
7370 
8393 
9407 


5383 


7407 
8418 
9439 

044 1 
i45i 

3462 
347  a 
4483 


1434 
3446 
3459 
4472 

5484 
6496 
75o8 
85i9 
9531 

0542 
i552 
2563 
3573 
4584 


JNtOURDL 


0      12      3     4        5     6     7     8     9    [ 


Diff. 


103 


101 


Dim  &  Malt. 


I 
3 

3 

4 

5 
6 

7 
8 


DiflT. 


io3 
306 

309 

4ia 
5i5 
618 
731 

824 
937 


I 

loa 

a 
3 

304 

3o6 

4 
5 
6 

4o8 
5io 
612 

7 
8 

714 
816 

9 

918 

I 

10! 

2 

202 

3 

3o3 

4 

4o4 

5 

5o5 

6 

606 

7 

707 

8 

808 

909 


Dim  k  Mnlt. 


LOGARITHMS     OF     NUMBERS. 


Num. 

4*300 

01 
02 
o3 

04 

o5 
06 
07 
08 
09 

43  10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

'9 

43  20 
21 
22 

33 

a4 

35 

36 

27 

28 

29 

43  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

4340 
4r 
43 
43 

44 

45 
46 

47 
48 

49 

43  5o 
5i 

52 

53 

54 

55 
56 

57 
58 

59 


01234         56789 


633  4685 
5694 

6704 
77i3 
8723 

#  9732 

634  0740 
1749 

2757 
3765 


4773 
5780 
6788 

7795 
8801 

#  9808 

635  0814 
1820 
2826 
3832 

4837 
5843 
6848 
785? 
8857 

#  9861 

636  o865 
1869 
2873 
3876 

4879 
5882 
6884 
7887 


4786 
5795 
68o5 
7814 
8824 

9832 
o84i 
i85o 
2858 
3866 

4873 
588 1 
6888 
7895 
8902 


9909 
0915 
1921 
2927 
3933 

4938 
5943 
6948 
7953 
8957 

9962 

0966 
i960 
2973 
3976 


4887 
5896 
6906 
7915 
8924 

9933 
0942 
1950 
2959 
3967 

4974 
5982 
6989 
7996 
9003 


4979 
5982 

6985 

7987 


♦009 
1016 
2022 
3o28 
4o33 

5o39 
6044 
7049 
8o53 
9o58 

♦062 

1066 
2070 
3073 
4076 


4988 
5997 
7007 
8016 
9025 

♦o34 
io43 
2o5i 
3069 


5089 
6098 
7108 
8117 
9126 

oi35 
ii44 

3l52 

3i6o 


4067  4i68 


5075 
6082 

7090 
8097 
9103 


Olio 

1116 

2122 
3l28 

4i34 


8889  8989  9089 

*  9891 
637  0893 
1894 


2895 
38^ 

4897 
5898 
6898 
7898 
8898 

#  9898 

638  0897 
1896 
2895 
3894 

4893 
5891 
6889 
7887 
8884 

«  9882 

639  0879 
1876 
2872 
3869 


9991 

0993 
1994 
2996 
3997 

4997 
5998 

6998 

7998 

8998 


5o8o 
6082 
7085 
8087 


9998 
0997 
1996 
2995 
3994 

4992 
5991 
6989 
7986 
8984 

9981 
0978 
1975 
2972 

3968 


♦091 
1093 
2094 
3096 
4097 

5097 
6098 
7098 
8098 
9098 


5i39 
6144 
7149 
8i54 
91 58 

0162 
1 166 
2170 
3i74 

4177 

5i8o 
6i83 
7185 
8i88 
9190 


098 

097 

2096 

3095 

4094 

5092 
6090 
7088 
8086 
9084 

♦081 
1078 
2075 
3072 
4068 


0192 
1193 
2195 
3196 
4197 


5176 
6i83 
7190 
8197 
9204 

0211 
1217 

2233 

3229 

4a34 

5240 
6245 
7a5o 
8254 
9259 

0263 
1267 
2270 

3274 

4277 

5280 
6283 
7285 
8288 
9290 


5197 
6198 
7198 
8198 
9198 

0198 
1 197 
2196 
3195 
4194 

5192 
6190 
7188 
8186 
9183 

0181 
1 178 
2175 
3171 
4i68 


0292 
1293 
2295 
3296 
4297 

5298 
6298 
7298 
8298 
9298 

0298 
1297 
2296 
3295 
4294 

5292 
6290 
7288 
8286 
9283 

0280 
1277 
2274 
3271 

4267 


5190 
6199 
7209 
8218 
9227 

0236 
1245 

2253 

3261 

4269 
5276 

6284 

7291 
8298 

93o5 

o3ii 
i3i7 

2323 

332 
433 


5340 
6345 
735o 
8355 
9359 

o363 
1 367 
2371 

3374 

4377 


5291 
63oo 
73io 
83i9 
9328 

0337 
1 345 
2354 
3362 
4370 

5377 

6385 

7393 

839 

940 


538o 
6383 
7386 
8388 
9390 

©392 
1394 
2895 
3396 
4397 

5398 
6398 
7398 
8398 
9398 

0398 
1397 
2396 
3395 
4393 


04l3 

i4i8 

2424 
343o 
4435 

5441 
6446 
745o 
8455 
9459 

o464 
1467 
2471 
3475 
4478 


5391 
64oi 

74" 
8420 
9429 

o438 
i446 
2455 
3463 
4470 

5478 
6485 
7492 
8499 
9506 

o5i2 
i5i 

252 

353o 
4536 

5541 
6546 

755i 
8556 
9560 


5492 
65o2 
75i2 
8521 
9530 

0539 

1 547 
2555 
3563 

4571 

5579 
6586 
7593 
8600 
9607 

o6i3 
1619 

2625 
363 1 
4636 

5642 

6647 
765 1 
8656 


5481 
6483 
7486 
8488 
9490 

0492 

1494 
3495 
3496 
4497 

5498 
6498 

7498 
8498 

9498 

0497  0597 
1497  1597 
2496  2596 
3495  3594 


o564 
1 568 
2571 
3575 
4578 

558 1 
6584 
7586 
8588 
9590 

0592 
1594 
3595 
3596 
4597 


5598 
6598 
7598 
8598 


0664 
1668 
2672 
3675 
4678 

568 1 
6684 
7686 
8689 
9691 

0692 
1694 
2695 
3696 
4697 


5593 
66o3 
7613 
8622 
9631 

0639 
1648 
2656 
3664 
4672 

5679 
6687 
7694 
8701 
9707 

0714 
1720 
2726 
3731 
4737 

574a 

6747 

7752 

8756 


96609761 


0765 
1769 

2772 
3776 
4779 
5782 
6784 
7787 
8789 
9791 

0793 
1794 
2795 
3796 

4797 


5698 
6698 
7698 
8698 


5392 
6390 
7388 
8385 
9383 

o38o 
1377 
2374 
3371 
4367 


4493 
5492 


6490  6589 
7488  7587! 


8485 
9483 

o48o 

1477 
2474 

3470 
4466 


9598  9698 

0697 
1697 
2696 
3694 
4693 


4593 
5591 


8585 
9582 

o58o 

1 577 
2573 
3570 
4566 


5691 
6689 
7687 
8685 
9682 

0679 
1676 
2673 


5798 
6798 
7798 
8798 
9798 

0797 
1796 
2795 
3794 
4793 

5791 
6789 

7787 

8784 
9782 

0779 

1776 
2773 


Num. 


36693769 
4666I4765 


12      3     4        5     6     7     8     9 


59 


Dim       Dim.  &  Mult. 


lOI 


100 


Dim 


I 

lOI 

2 

3 

4 
5 
6 

202 
3o3 
4o4 
5o5 
606 

7 
8 

707 
808 

9 

909 

I 

3 

3 

4 
5 
6 


I 

3 
3 

4 
5 
6 

7 
8 

9 


100 
200 
3oo 
4oo 
5oo 
600 


7  700 

8  800 

9  I  900 


198 
397 
396 

495 
594 
693 
792 
891 


Dim  A.  Mult. 


m 


LOGAEITHMS  OF  NUMBERS. 


il 


II 


Hi 

49i0 
6 1 
63 
63 

64 

65 
66 
67 
68 
•69 

4370 

71 
7a 
73 
74 

If' 

73 

76 

77 
78 
79 

43  80 
81 
82 

84 

85 
86 
87 
88 
89 

4390 
91 

9» 
93 
94 

96 

97 
98 
99 

^44  OO' 
01 
03 
o3 

•04 

o5 
06 
©7' 
08 
09 

44 10 
II 

la 
13 
i4 

i5 
16 
17 
18 
19 


0      12      3     4 


5     6      7     8     9 


0394865 
586i 

6857 
785a 
8847 

•   984a 

64o  0837 

1 832 

2626 

38ao 

48i4 
58o8 
6802 


4965 
5960 
6956 

7952 


89479046 


9942 
0937 

1 93 1 

3926 

3920 

4914 
6901 


7795  7894 
87888887 

•  9781  98809979 

641  0773  087a  0972 

1765  1 865  1964 

2758  2857  2956 

3749  3849  3948 


5o64 
6060 

7o56 
8o5i 


♦o4i 

io36 
2o3i 
3o25 
4019 

5oi3 
6007 
7000 

? 


5i64 
6160 

7155 
8i5i 


91469245 


474i 
5733 
6724 

77i5 
8705 


642 1 


1676 
2666 


484o 
583a 
6823 
7814 
88o5 

97q5 
0785 
1775 
2765 
3755 


46454744 
5634  5733 
6623  6722 

■7612  771 1 


oi4i 
ii36 
ai3o 
3i25 
4119 

5ii3 
6106 
7100 
8093 
9086 

♦078 
107 1 
2o63 
3o55 
4o47 


5263" 
6259 
7255 
8a5o 


4939 
5931 

6922 
7913 
8904 

9894 

0884 
1874 
2864 
3854 


5o39 
6o3o 

70a  I 
8012 
9003 


3 

973 

2963 

3953 


0240 
235 

223o 

3a  24 
4a  1 8 

5212 

6205 
7199 
8192 
9185 

0178 
1 170 
2162 
3i54 
4i46 

5i38 
6129 
7120 
8111 
9102 

♦002 
082 
2073 
3o6a 
4o52 


4843  4942  5o4i 


8601 

•  9589 

643  0577 
1 565 

2552 

3540 

4527 
55 1 4 
65oo 

7487 
8473 


€445 


143 1 
2416 
3401 

4386 

5371 
6355 
7339 
8323 

#  9307 

6450291 

1274 

3257 

3240 


8699 

9688 

0676 
i663 
265 1 
3638 

46a5 
56i2 
599 
7585 
8572 

9558 

o543 
1529 
25i4 


583  a  5931 
68a  I  6920 


34993598 


4484 
5460 
645j 
7438 
8422 

94o5 


1372 
2355 


7810 
8798 

9786 

0774 
1762 

2750 
3737 

4724 
571 1 
6698 

7684 
8670 


7009 
8897 

9885 
0873 
1861 
2848 
3836 

4823 
58io 
6706 

7783 


6o3o 
7019 

8007 
8996 

9984 
0972 
i960 
2947 

4922 
5oo8 
68o5 
7881 


87698868 
9656  9755  9853 


0642 
1628 
2613 


4583 

5567 
6552 
7536 
85ao 

95o4 


03890487 


1471 
2454, 


0741 
1726 
3711 


4681 
5666 
665o 
7635 
8618 

9602 

0586 

569 

2552 


3338I3437I3535 


0839 
1825 

2810 


36963795 

4780 

S764 
6740 

773^ 
8717 


9701 

0684 
1667 
265o 
3633 


d<x)'>j  3405 
63596458 


7354 
835o 
9345 

o34o 
1 335 
2320 

3323 
43 1 7 

53n 

63o5 

7298 

82c 

9264 

0277 
1269 
2262 
3254 
4245 


7454 


6558 
7553 


5237 
6328 
7219 

8310 

9201 


OIOI 

II8I 
2I7I 
3i6i 
4i5i 

5i4o 
6129 
71 18 
8106 
9095 

♦o83 

1071 
3o58 
3o46 
4o33 

5o2o 
6007 

6904 

7980 


9952 
0938 
1933 
2908 
3893 

4878 
5863 

6847 
783 1 
88i5 

97 

0782 
1766 
2749 
3731 


5336 
6327 
73i8 
83o9 
9300 

0200 
1280 
2270 
3260 
4249 

5239 
6228 

7217 
8205 
9'94 


65o4 

7497 
8490 

9483 

0475 
1468 
246c» 
3452 
4444 

5435 
6426 

7417 
8408 
9399 

0389 
1379 
2369 
3359 
4348 

5338 
6327 
73i5 


1 534 
2528 

3522 

45i6 
55io  5609 


84498549 
9444 

0439  0539 
1 434  '" 
2429 
3433 
4417 

541 1 
64o4 
7398 
8391 
9383 

0376 
1369 
236i 
3353 
4344 


5662 
6657 
7653 
8648 
9544  9643 

o638 
1 633 
2627 
3622 
4616 


5761 

6757 
7753 
8748 
9743 

0738 
1732 
2727 
3721 
4715 

5709 
6702 
7695 
8688 
9681 

0674 
16(16 
2658 
365o 
4543  4642 


66o3 
7596 
8589 
958a 

0575 
1 567 
2559 
355i 


5534 
6526 
7517 
85o7 
9498 

0488 
1478 
2468 
3458 

4447 

■'^"•■"1  / 

5437 


64366594 


0182 
1170 
2i57 
3i45 
4i32 

5119 
6106 


7092 

8079 

89669065 


74i4 
83o4  84o3 
9393  9391 


♦o5i 
io36 

3022 

3oo7 
3993 

4977 
596  r 
6946 
7930 
8914 


0881 
1864 
2847 
383o 


0280 
1268 

2256 

3243 

423i 

5218 
6204 

7191 

8177 
9163 

0149 
ii35 
2120 
3io5 
4090 

5075 
6060 

7044 
8028 
9012 


^33 
(3625 
7616 
8606 
9597 

0587 

"577 
2567 

3557 
4546 

5535 


75i3 
8502 
9490 

03790478 


9996 

0979 
1962 
2945 
3928 


1 367 
2355 
3343 
4339 

53i6 
63o3 
7290 
8276 
9262 

0248 
1233 

?2I9 

32o4 
4189 

5i74 
61 58 
7142 
8127 
9110 


♦094 
1077 
2061 
3o43 
4026 


1466 

2454 
3441 
4428 

54i5 
64o3 
7388 

8374 
9361 

o346 
1 332 
23i7 
33o2 
4287 

527a 
6257 

7241 
8225 
9209 


0192 
1 176 
2159 
3i42 
4i34 


01234        56789 


DiC 


99 


Diff. 


DifT.  Sl  Mult. 


2 

3 

4 

5 
6 

7 
8 


100 

3oo 
4(>o 
5oo 
600 
700 
800 
9tx) 


I 

2 

■^ 

3 

297 

4 

396 

5 

495 

6 

594 

7 

693 

8 

792 

9 

891 

I 

98 

2 

196 

3 

294 

4 

392 

5 
6 

490 
588 

7 

686 

8 

784 

<? 

682 

Diff.  k  Mult. 


1                   LOGARITHMS  OF  NUMBERS.                61 

. — _ -  --  - 

Num. 

4420 

0   12-34    56   789|  Dim 

DiC&Mult. 

645  4223 

4321 

4419 

45 1 7 

4616 

4714 

4812 

4910 

5009 

5107 

I 

98 

21 

52o5 

53o3 

5402 

55oo 

5598 

5696 

5795 

5893 

5991 

6089 

2 

196 

22 

6187  6286 

6384 

6482 

658o 

6678 

6777 

6875 

6973 

7071 

3 

294 

23 

7169 

7268 

7366 

7464 

7562 

7()6o 

7758 

7857 

7955 

8o53 

4 

392 

24 

8i5i 

8249 

8348 

8446 

8544 

8642 

8740 

8838 

8936 

9035- 

5 
6 

7 

k 

490 

588 

686 

25 

#  9133 

923 1 

9329 

9427 

9525 

9623 

9722 

9820 

9918 

♦016 

26 

646  01 14 

0212 

o3io 

(>4o8 

o5o7 

o6o5 

0703 

0801 

0899 

0997 

784 
HR2 

27 

1095 

1193 

1291 

1390 

i488 

1 586 

1684 

1782 

1880 

1978 

0 

28 

2076 

3o57 

2174 
3i55 

2272 
3253 

2370 
335i 

2468 

2566 

2665 

2763 
3743 

2861 

^959 
3939 

9 

XJlJ'Jt 

29 

3449 

3547 

3645 

384i 

4430 

4o37 

4i35 

4233 

433 1 

4429 

4527 

4625 

4723 

4821 

4919 

0 

3i 

5oi8 

5ii6 

52i4 

53i2 

5410 

55o8 

56o6 

5704 

58o2 

5900 

98 

32 

5998 

6096 

6193 

6291 

6389 

6487 

6585 

6683 

6781 

6879 

33 

6977 

7075 

7173 

7271 

7369 

7467 

7565 

7663 

7761 

7859 

34 

7957 

8o55 

8i53 

825i 

8349 

8447 

8545 

8642 

8740 

8838 

35 

8936 

9034 

9132 

9230 

9328 

9426  9524 

9622 

9720 

9817 

36 

«  9015 
647  0894 

♦oi3 

01 1 1 

0209 

o3o7 

o4o5 

o5o3 

0601 

06990796 

37 

0992 

1090 

1 188 

1286 

1 384 

1482 

1 579 

1677 

1775 

38 

1873 

1971 

2069 

2167 

2264 

2362 

2460 

2558 

2656 

2754 

39 

285i 

2949 

3o47 

3i45 

3243 

3341 

3438 

3536 

3634 

373a 

4440 

383o 

3928 

4o25 

4i23 

4221 

4319 

4417 

45i4 

4612 

4710 

4i 

4808 

49^16 

5oo3 

5ioi 

5199 

5297 

5394 

5492 

5590 

5688 

42 

5786 

5883 

5981 

6079 

6177 

62746372 

6470 

6568 

6665 

43 

6763 

6861 

6959 

7o56 

7154 

7252 

7350 

7447 

7545 

7643 

44 

7741 

7838 

7936 

8o34 

8i3i 

8229 

8327 

8425 

8522 

8620 

45 

8718 

881 5 

8913 

901 1 

9108 

9206  9304 

9402 

9499 

9597 

_,  ■ 

46 

♦  9695 

9792 

9890 

9988 

♦o85 

oi83 

0281 

0378 

0476 

0574 

r 

97 

47 

6480671 

0769 

0867 

0964 

1062 

1 160 

1257 

i355 

1453 

i55o 

2 

194 

48 

1648 

1745 

1843 

1941 

2o38 

2i36 

2234 

233i 

2429 

2526 

3 

291 
388 
485 
582 

49 

2624 

2722 

2819 

2917 

3oi5 

3lI2 

32IO 

3307 

3405 

35o3 

4 
5 

6 

4450 

36oo 

3698 

3795 

3893 

3990 

4088 

4186 

4283 

438 1 

4478 

5i 

4576 

4674 

4771 

4869 

4966 

5o64 

5i6i 

5259 

5356 

5454 

7 

^ 

53 

5552 

5649 

5747 

5844 

5942 

6039 

6i37 

6234 

6332 

6429 

8 

53 

6527 

6624 

6722 

6820 

6917 

701 5 

7112 

7210 

7307 

74o5 

Q 

ft 

8-r3 

54 

7502 

7600 

7697 

7795 

7892 

7990 

8087 

8i85 

8282 

838o 

Z       ' 

55 

8477 

8575 

8672 

87708867 

8964 

9062 

91599257 

9354 

56 

*  9452 

9549  9647 

9744 

9842 

9939 

♦o37 

oi34 

023l 

0329 

57 

649  0426 

o524 

0621 

0719 
1693 

0816 

0914 

lOII 

rio8 

1206 

i3o3 

58 

i4oi 

1498 

1595 

1790 

1888 

1985 

2o83 

2180 

2277 

59 

2375 

2472 

2570 

2667 

2764 

2862 

2959 

3o56 

3i54 

325i 

4460 

3349 

3446 

3543 

364 1 

3738 

3835 

3933 

4o3o 

4128 

4225 

61 

4322 

4420 

4517 

46i4 

4712 

4809 

4906 

5oo4 

5ioi 

5198 

62 

5296 

5393 

5490 

5588 

5685 

5782 

588o 

5977 

6074 

6172 

63 

62(59 

6366 

6463 

656i 

6658 

6755 

6853 

6950 

7047 

7145 

64 

7242 

7339 

7436 

7534 

763i 

7728 

7826 

7923 

8020 

8117 

65 

8215 

83i2 

8409 

85o6 

8604 

8701 

8798 

8895 

8993 

9090 

66 

«  9187 

9284 

9382 

9479 

9576 

9673 

9771 

9868 

9965 

♦062 

67 

65ooi6o 

0257 

o354 

o45i 

o548 

o646 

0743 

o84o 

0937 

io34 

68 

Il32 

1229 

i326 

1423 

1 520 

1618 

1715 

1812 

l^. 

2006 

69 

aio4 

2201 

2298 

2395 

2492 

2589 

2687 

2784 

2978 

4470 

3075 

3172 

3276 

3367 

3464 

356i 

3658 

3755 

3852 

3950 

71 

4o47 

4i44 

4241 

4338 

4435 

4532 

4629 

4727 

4824 

4921 

r    '^ 

72 

5oi8 

5ii5 

5212 

5309 

5406 

55o3 

56oi 

5698 

5795 

5892 

73 

5989 

6086 

6i83 

6280 

6377 

6474 

6571 

6669 

6766 

6863 

3 

% 

74 

6960 

7057 

7154 

7251 

7348 

7445 

7542 

7639 

7736 

7833 

4 

384 

75 

7930 

8027 

8124 

8222 

83i9 

84i6 

85i3 

8610 

8707 

8804 

5 

480 

76 

•  9871 

8998 

9095 

9192 

9289 

9386 

9483 

9580 

9677 

9774 

6 

576 

77 

9968 

♦o65 

0162 

0259 

o356 

0453 

o55o 

0647 

0744 

97 

7 

672 

78 

65io84i 

0938 

io35 

Il32 

1220 
2198 

1 326 

1423 

l520 

1617 

1714 

8 

768 

79 
Num. 

181 1 

1908 

2oo5 

2102 

2295 

2392 

2489 

2586 

2683 

9 

864 

01234    56789 

Diffl 

DiC&Molt  1 

''''*'f!?!'™!!llS[3li!!H!l^Sl!fiP™''''i''"'''"" 


ii 


62 


LOGARITHMS  OF  NUMBERS 


Main. 

4480 

8d 
83 
84 

•  85 
86 

87 
88 
89 

4490 

9» 

9^ 
93 

95 
96 


98 


t   •( 


99 

45cx> 
01 

03 

o3 
04 

o5 
06 

07 

•     08 

09 

45 10 
II 
la 
1 3 
i4 

i5 
16 

17 
18 

«9 

45  ao 

31 
33 

a3 
34 

a5 
36 

37 

38 

29 

45  3o 
3i 

32 

33 
34 

35 

36 

37 
38 

39 

Niun. 


0      12      3     4 


1151  2780  2877, 2974  3o7 1 1 3 1 68 
3749  3846J3943  4o4o 
47 1 9  48 1 5 
568715784 
66566753 


»j3943 
491  a 
5ti8i 
685o 


76247731 
8503  8600 

•  950119657 

65a  oSaS  CJ625 

149611593 

3463  a56o 

343ii35a7 


4^97 
5364 
633i 

7297 

8a63 

•  9a  ao 

6530195 

1160 


7818 
8786 

9754 
0722 
1690 

3657 

3624 
4591 
5558 
65  a4 


5ooo 
5978 
6947 


4i37 
5io6 
6075 
7043 


4^*^ 
5461 
6427 

73947490 
836o8456 
933519422 


0201 
1256 


31352222 

3ooo3i87 


o388 
i353 


0090 

4o55|4»5i 
50195116 
598460806177 


6948 

791a 

8S76 

•  9839 

654  080a 


7044 
8008 

8972 
9935 
0899 


1765  186a 


3738 
3691 
4653 
56i6 


6578  6674 


7539 

85oi 

•  9463 

655  o423 

1 384 
3345 
33o6 
4a66 

5336 

6186 
7145 
8ro5 
9064 
656ooa3 


a8a5 

3787 
475o 
5712 


a3i8^ 
3a83 

4248 

5212 


7915 

8883 
985t 
0819 
1786 

2754 
3721 
4688 
5654 
66a  I 

7587 
8553 
9519 
0484 
i45o 


7i4i 
8io5 
9068 
♦o3a 
0995 

1958 
3921 
3883 
4846 
58o8 


a4i5 
338o 

Hii 
5309 
6a7i 

7337 
8201 
9165 
0128 
1091 


8013 
8980 

9948 

0916 

883 

a85o 

3817 

4784 
5751 
6717 

7683 
8640 
9615 
o58i 

1 546 


35ll 

3476 

U4i 
54o5 
6369 

7334 
8297 
9261 
0224 
1188 


5773-  -- 
6730  68261 


7635 
8597 
9558 
o52o 

1 480 

a44i 
3402 
4362 

5323 

6383 
7341 
8201 
9160 
OII9 

1078 
2o36 

39?3 
491 1 

586o 


ao543i5i 
3oi7  3ii3 
39804076 
4943  5o38 
59046000 

67706866696 


773a 
8693 
9655 
0616 

1577 
2537 
3498 
4458 
54i8 

6378 
7337 
8207 
9a  56 

03l5 

1174 
ai3a 
3091 

4049 
5oo7 


7838 
8789 
975 1 
0712 

1673 
2633 
35 

4554 
55i4 


7924 

8885 

9847 
0808 

1769 
2729 


043690 

54  465o 

56io 

64746570 
7433  7529 
8489 
9448 
0407 

1 365 
a3a4 
3a8a 
4a4o 
5198 


83o3 
9353 
o3ii 

1370 

3338 

3x86 
4i45 
5io3 


596460606156 

69227018I7113 
7688i7784|7879  7975,8071 
8645  8741  8836  8932  9028 
960a '9698  9793  9889'9985 


8109 

9077  9174 
♦o45oi4i 
loia 
1980 


3459 


3947 
3914 
488i 
5847 
6814 

7780 
8746 
971a 

0677 
1643 

3608 

3573 
4537 
55o2 
6466 


743o 

8394 

9357 
o32i 

1284 

3347 

33 10 

4172 
5i34 
6097 

7o58 
8oao 
8982 
9943 
0904 

1865 
3825 

3786 


1109 
2070 

3o44 
4oii 
4978 
5944 
6910 

7877 
8843 
9808 
0774 
1739 

3704 
3669 
4634 
5598 
6562 


4428 
5397 

6365 
7334 

83o2 
9270 
0238 
1206 
2173 

3i4o 
4107 
5o74 
6o4i 
7007 


3556|3653 


5  6   7  8  9 

3265 
4a34 
5ao3 
6172 
7140 


3362 
433i 
53oo 
6269 
7237 

8205 


79738070 


7526 
8490 

9454 
0417 
i38o 


8939 
9005 
0870 
i836 

2801 

3765 
473o 
5695 
6659 


45a5 
54o4 

6462 
743i 

83o9 

9367 
o335 
i3o3 
3370 

3237 
4ao4 
5171 
6137 
7104 


4633 

5591 

655o 
75a8 

8496 

9464 
o43a 
1399 
3367 

3334 
43oi 
5a68 
6234 
7200 


7633 

8586 
9550 
o5i3 
>477 


3343  2439 
33o6  3402 
4268  4365 
5a3i  5327 
61936289 


9o36 
♦001 
0967 
1932 

3807 
3862 

4827 
5791 
6755 


7i55 
8116 
9078 
>o39 
1000 

1961 
2921 
388a 


47464843 
58o3 


5706 

6666 
7625 
8585 


95449640 


o5o3 

i46i 
a43o 

3378 
4336 
5a94 

6252 


676a 

77a  1 
8681 


7a5i 
8ai2 

9*74 
01 35 
1096 

2o57 
3017 
3978 
4938 
5896 

6858 

7817 
8776 


7719 
8683 

9646 

0610 

1573 

3536 
3498 
4461 
5423 
6385 


7347 
83o9 

9270 

033l 

1192 

2i53 
3ii3 
4074 
5o34 
59946090 


8166 
9132 
0098 
io63 
2029 

39S 

4923 
5887 
6852 

7815 
8770 
9743 
0706 
1669 

2632 

3595 
4557 

5519 
648i 

7443 
84o5 
9366 
o3a7 
1288 

2249 

3210 

4170 
5i3o 


05990694 

i557 
25i6 

3474 
4432 


97369831 


i653 
2612 
3570 
4528 


53905486 

63476443 
7ao9i'Tr?o5  7401 
8166,8263  8358 
9i33|92io93i5 
♦o8o'o  176  0373 


6954 
791 3 
8872 


0790 

1749 
2707 

3666 
4634 
558 1 


7o5o 
8009 
8968 

%k 

1845 
2803 
3761 

4719 
5677 


7496 

,8454 
94ro 
'o367 


65396635 


7592 
854o 
9506 
o463 


0      12      3      4 


5     6     7     8     9 


Die       DiflT.  &  Mult. 


1 


I 

97 

2 

194 

3 
4 

& 

5 

485 

6 

582 

7 

679 

8  776 

9  873 

96 


I 

96 

3 

3 

19a 
288 

4 

384 

5 

48o 

6 

576 

7 

67a 

8 

768 

9 

864 

Dig-. 


Die  &  Mult. 


LOGARITHMS  OF  NUMBERS 


63 


Num. 

4540 

41 
42 

43 
A4 

45 
46 

47 
48 

49 

45  5o 
5i 
5a 
53 
54 

55 
56 

57 
58 

59 

45  60 
61 
63 
63 
64 

65 
66 

67 
68 
69 

4570 

71 
72 
73 
74 

75 
76 

77 
78 

79 

45  80 
81 
82 
83 
84 

85 
86 

87 

88 
89 

4590 

91 
92 

93 
94 

i 

98 
99 

Nam. 


057055 
i5i5 

2471 
3427 
4383 

5339 
6294 
7230 
8205 
*  9159 

658  on  4 
1068 
2023 


0      1234        567891 


DIff. 


2977 
3980 

4884 
5837 
6790 
7743 
8696 

»  9648 

659060 

i553 

aSoS 

3456 

44o8 
5359 
63io 
7a6i 
8ai2 

*  9162 

660  01 1 2 
1062 
2012 
2962 

3911 
4860 
5809 

6758 
7706 

8655 

*  9603 

661  o55i 
1499 
3446 

3393 
4341 
5287 
6234 
7181 

8127 

^^  9073 
0620019 

0964 
1910 

3855 
38oo 
4745 
56oo 
6634 


o654 
1611 
2567 
3523 
4479 

5434 
6390 

7345 
83oo 
9255 

0209 
ii64 
2118 
3072 
4026 

4979 
5932 

6886 

7838 

8791 

9744 
0696 
i648 
2600 
3552 

45o3 
5454 
64o5 
7356 
83o7 

9257 
0207 

ii57 
2107 
3o57 

4oo6 
4955 
5904 
6853 
7801 

8750 
9698 
o646 
1593 
2541 

3488 
4435 
5382 
6320 

7275 

8221 
9168 
oii3 
1059 
2004 

2950 
3895 
484o 
5784 
6729 


0750 
1706 
2663 
3619 
4574 

553o 
6485 

7441 
83o6 
9350 

o3o5 
1259 

22l3 

3167 
4121 

5o74 
6028 
6981 
7934 
8886 

9839 
0791 
1743 
2695 
3647 

4598 
5549 
65oo 
745 1 
84o2 

9352 
o3o2 

1252 
2202 

3i5i 

4ioi 
5o5o 


59996094 


6948 
7896 

8844 

979^ 
0740 

1688 

2636 

3583 
453o 

5477 
6423 
7370 

83i6 
9262 
0208 

ii54 
2099 

3o44 
3989 
4934 
5870 
6823 


0845 
1802 
2758 
3714 
4670 

5626 
658i 
7536 
8491 
9446 

o4oo 
i355 
23o9 
3263 
4216 

5170 
6123 
7076 
8029 
8982 

9q34 

0886 
i838 
2790 
3742 

4693 

5644 
6595 
7546 
8497 

9447 
0397 

1 347 
2297 

3246 


96429 


4i 
5i45 


7042 
7991 


8939  9034 


9887 
o835 
1783 
2730 

3678 
4625 
5571 
65i8 
7464 

84ii 
9357 
o3o3 
1248 
2194 

3i39 
4o84 
5oa8 

5973 
6917 


0941 
1898 
a854 
38x0 
4766 

5721 
6676 
7632 
8587 
9541 

0496 
i4jo 
2404 
3358 
43x2 

5265 
62x8 

7171 
8124 
9077 

♦029 

0982 

1934 
2885 
3837 

4788 
5740 
6690 

7641 
8592 

9542 
0492 
1442 
2392 
3341 


I 

5  240 
6189 

7x37 
8086 


9982 
0930 
X878 
2825 

3772 

4719 
5666 

66r3 

7559 

85o5 
945i 
0397 
1 343 
2288 

3233 

4178 
5x23 
6067 
7012 


§ 


io37 
1993 
2949 

A 

58x7 
6772 
7727 
8682 
9637 

0591 
i545 
25oo 

3453 

4407 

536i 
63x4 

7267 
8220 
9x72 

OI25 

1077 

2029 
298  X 
3932 

4883 
5835 
6786 
7736 
8687 

9637 
o587 
x537 

2487 
3436 

4386 
5335 
6284 
7232 
8181 

9129 

♦077 
1025 
1972 
2920 


3867 
48x4 
576X 
6707 
7654 

8600 
9546 
0492 
1437 
2383 

33a8 
4273 
5217 
6162 
7x06 


Il32 

2089 
3o45 
4oox 
4957 

5912 
6867 
7823 

8777 
9732 

0687 
i64i 
2595 
3549 
45o2 

5456 
6409 
7362 
83x5 
9267 

0220 
1172 

2124 
3076 
4027 

4979 
5930 

688  X 

783  X 

8782 

9732 
0682 
i632 

2582 

353i 

448i 
543o 
6378 
7327 
8275 

9224 
0172 
1 1 20 
2067 
3ox5 


3962 
4909 
5855 
6802 

7748 

8695 
9640 
o586 
i532 

2477 

3422 
4367 
53x2 
6256 
7201 


1228 
2x84 
3x4x 
4096 
5o52 

6008 
6963 
7918 
8873 
9828 

0782 
1736 
2690 

3644 
4598 

555x 
65o4 

7457 
84io 
9363 

o3i5 

1267 
22x9 
3i7x 

4X22 

5074 
6025 
6976 
7926 

8877 

9827 

0777 
1727 

2677 
3626 

4575 

5524 

6473 
7422 
8370 

9318 
0266 

12X4 

2162 
3109 


4o56 
5oo3 
5950 
6897 
7843 

8789 
9735 
o68x 
1626 
257a 

35i7 
4462 
5406 
635 1 
7295 


1 324 
2280 
3236 
4x92 
5x48 

6io3 
7059 
8014 
8968 
9923 

0877 
i832 
2786 
3740 
4693 

5647 
6600 
7553 
85o5 
9458 

o4io 
1 362 
23i4 
3266 
4218 

5169 
6120 
707  X 
8021 
8972 

9922 

0872 
1822 

2772 
3721 

4670 
5619 
6568 

7517 
8465 

941 3 
o36x 
1 309 
2257 
3  204 


01234    567 


4i5x 
5098 
6045 
690X 
7938 

8884 
9830 
0775 
1721 
2666 

36ii 

4556 
55oi 
6445 
7389 


14x9 
2376 
3332 
4288 
5243 

6199 
7154 
8109 
9064 
♦019 

0973 
X927 
2881 
3835 
4788 

5743 
6695 
7648 
8601 
9553 

o5o6 
x458 
2410 
336i 
43i3 

5264 
62x5 
7x66 
81x7 
9067 

♦017 
0967 
19x7 
2867 
38i6 

4765 

5714 
6663 
7612 
856o 

9508 
o456 
x4o4 
235i 

3299 


4246 
5x93 
6139 

7086 
8o33 

8978 
9924 
0870 
i8x5 
3761 

3706 
465 1 
5595 
654o 
7484 


8 


95 


DiC&.Mu]U 


1 

S^ 

3 

193 

3 

288 

4 

384 

5 

480 

6 

576 

7 

673 

8 

768 

9 

864 

Diff. 


I 

3 

3 

4 
5 
6 

7 
8 


I 

95 

2 

3 

\T, 

4 

38o 

5 

475 

6 

570 

7 

665 

8 

760 

9 

855 

94 
188 
383 
376 

470 

564 
658 
752 
846 


Diff*.  k.  Malt. 


1 11^ 


mmmm 


III lllllllllH 


f|i 


I 

3 

.n 

3 

282 

4 

376 

5 

470 

6 

564 

7 

658 

8 

752 

9 

846 

I 
2 

186 

3 

279 

4 

372 

5 

465 

6 

558 

7 

65i 

8 

744 

9 

837 

01234        56789 


Diff.  &  Mult. 


LOGARITHMS     OF     NUMBERS. 


65 


Num. 

4660 

61 
62 
63 
64 

65 
66 

67 
68 
69 

4670 

71 
72 

73 
74 

75 
76 

77 
78 

79 

4680 
81 
82 
83 
84 

85 
86 

87 
88 
89 

4690 
91 

93 
q4 

96 

98 
99 

4700 
01 
02 
o3 
04 

o5 
06 
07 
08 
09 

4710 
II 
la 
i3 
14 

i5 
16 

17 
18 

19 


0      12      3     4 


5     6     7     8     9 


DiflT. 


668  3859 

479^ 

5723 

6654 
7585 

85i6 

*   9447 

669  0378 
i3o8 
2239 

3169 
4099 
5028 
5958 
6887 


395214046 

4884|4977 


58i6 


3909 


6747  684o 
7679  7772 


7816 

8745 

*  9674 
6700602 

i53o 

2459 
3386 

43i4 
5242 
6169 

7096 
8023 
8950 

#  9876 

671  0802 

1728 
2654 
358o 
45o6 
543 1 

6356 
7281 
8206 
91 3o 

672  oo54 


8610 
9540 
0471 

l402 
2332 

3262 
4192 

5l2I 

6o5i 
6980 


8703 
9633 
o564 
1495 
2425 

3355 
4285 
52i4 
6144 

7073 


7909  8002  8095 


4139 
5071 
6002 
6934 
7865 

8796 

9727 
0657 
1 588 
25i8 

3448 
4378 
53o7 
6237 
7166 


8838  8931 
976719859 
0695  0788 


1623 

255i 

3479 
4407 
5334 
6262 


097 

190 

2826 

3750 

4673 

5596 
65i9 
7442 
8365 
*  9287 

673  0209 
ii3i 
2o53 

2974 
•   3896 

4817 
5738 
6659 

7579 
85oo 


7189 
8116 
9042 

996 
089 

1821 

2747 
3673 
4598 
5523 

6448 
7373 
8298 
9223 
0147 


1071 
1995 
2919 
3842 
4765 

5689 
6612 
7534 
8457 
9379 

o3oi 

1223 

2145 

3067 

3988 

i^ 

583o 
6761 
7671 
8592 


1716 

2644 
3572 
45oo 
5427 
6354 

7281 
8208 
9135 
♦061 
0988 

1914 

2839 
3765 
4691 
56x6 

654 1 
7466 
8391 
93x5 
0239 

ii63 
2087 
3oii 
3934 
4858 


9024 
9952 
0881 
1809 

2737 
3665 
4592 
5520 
6447 


5781 
6704 
7627 
8549 
9471 

0393 
i3i5 
2237 
3x59 
4080 

5ooi 
5922 
6843 

7763 
8684 


7374 
83oi 
9228 
0x54 
1080 

2006 
2932 
3858 
4783 
5708 

6633 
7558 
8483 
9407 
o332 

X256 
2180 
3io3 
4027 
4950 


5873 
6796 

7719 
864  X 

9564 

o486 
i4o8 
2329 
325i 
4172 

5093 
6ox4 
6935 

7856 
8776 


4232 
5x64 
6095 
7027 
7958 

8889 
9820 
0750 
1681 
261 1 

3541 

4471 
5400 
633o 
7259 

8x88 
9117 
♦o45 

0974 
X902 

283o 
3758 
4685 
56x3 
654o 

7467 
8394 
9320 
0247 
1 173 

2099 
3o25 
3950 
4876 
58oi 

6726 
765 1 
8575 
9500 
0424 

i348 
2272 
3196 

4119 
5o42 

5965 
6888 
781 1 

8734 
9656 

0578 
i5oo 
2421 
3343 
4264 

5x85 
6x06 
7027 
7948 
8868 


4325 
5257 
6188 
7120 
8o5i 

8982 
99x3 
0843 

1774 
2704 

3634 
4564 
5493 
6422 
7352 

8281 
9200 
ox  38 
1066 
1995 


44i845ii 
535o  5443 
6282  6375 
72137306 
81448237 


2922 

385o 

4778 
5705 
6632 

7559 
8486 
94x3 
0339 
1265 

2x91 
3x17 
4o43 
4968 
5893 

68x8 
7743 
8668 
9592 
o5i7 

i44i 
2364 
3288 
421 1 
5i35 


6o58 
6981 
7003 
8826 
9748 

0670 
1592 

25i4 
3435 
4356 

5277 
6198 
7119 
8o4o 
8960 


9075 
♦006 
0936 

1867 
2797 

3727 
4656 
5586 
65x5 
7445 

8373 
9302 

023x 

1x59 
2087 

3oi5 
3943 

487  X 

5798 

6725 

7652 
8579 
95o5 
0432 
1 358 

2284 

32IO 

4x35 
5o6i 
5986 

691 X 
7836 
8760 
9685 
0609 

1 533 
2457 
338o 
43o4 
5227 


6r5o 

7073 

7996 
89x8 

9840 

0762 
1684 
2606 
3527 

4449 

5370 
6290 
72x1 
8x32 
9052 


9168 
0099 
X029 
i960 
2890 

3820 

4749 
5679 
6608 

7537 

8466 
9395 
o324 

X252 

2x80 

3io8 
4o36 
4963 
589X 
68x8 

7745 

8672 

9598 

o524 
145 1 

2377 
33o2 
4228 
5x53 
6078 


46o5 
5536 
6468 

83I0 

926  X 
0192 
1 1 22 
2o53 
2983 

3913 
4842 
5772 
6701 
7630 

8559 
9488 
cf4i6 
i345 
2273 

320I 

4x29 
5o56 
5983 
691 1 


7837 
8764 
969X 
0617 
1 543 

2469 
3395 
4320 


4698 
563o 
656i 
7492 
8423 

9354 
0285 

X2l5 

2x46 
3076 

4oo6 
4935 
5865 
6794 

7723 

8652 
9581 
o5o9 
x438 
2366 

3294 

422X 

5x49 
6076 
7003 


7930 
8857 
9783 
07x0 
i636 

2562 

3487 
44i3 


70o3 
7928 
8853 

9777 
0701 

1625 
2549 
3473 
4396 
5319 


6242 
7x65 
8088 
9010 
9932 

o854 
1776 
2698 
3619 
4541 

5462 
6383 
73o3 
8224 
9144 


52465338 
61 71  6263 


7096 
8021 
8045 
9870 
0794 

X718 
2642 
3565 
4488 
5412 

6335 
7257 
8x80 
9102 

♦025 

0947 

1868 
2790 

3712 
4633 

5554 
6475 
7395 
83x6 
9236 


7x88 
8xx3 
9o38 
9962 
0886 

1810 
2734 
3657 
458 1 
55o4 

6427 
735o 
8272 
9195 
0117 

1039 
1961 
2882 
38o4 
4725 

5646 
6567 

7487 
84o8 
9328 


Nam. 


0      12      3     4 


5     6     7     8      9 


93 


Diff. 


Diff.  Sc  Mult. 


I 

93 

2 

186 

3 

279 

4 

372 

5 

465 

6 

558 

7 

65i 

8 

744 

9 

837 

• 

I 
2 

184 

3 

276 

4 

368 

5 

460 

6 

552 

7 

644 

8 

736 

9 

828 

Diff.  &  Mult. 


F' 


1  il*. 

H I 


66 


LOGABITHMS  OF  N0MBERS. 


I 


Mum, 

47»0 

ai 

32 
33 

3tJ§ 

3:5 

36 
37 
38 

39 

47  ^ 

3i 

33 

33 

35 
36 

3? 
38 
39 

43 
43 

44 

45 
46 

47 
48 

49 

47  5o 
5i 

53 
54 

55 
56 

57 
58 
59 

4760 
61 
6a 
63 

64 

65 
66 

67 
68 

69 

4770 
71 

72 

73 
74 

75 

76 

77 
78 

79 

Num. 


0      12      3      4 


5     6      7      8     9 


«  9430 

674  o34o 
I  ado 
2179 

J099 

4oi8 
4937 
5856 

6775 
7693 

861 1 

•  9529 

675  0447 
i365 

2283 

3200 

4117 
5o34 
5o5i 
6867 

7783 
8700 

•  9615 
6760531 

1447 

2362 

3277 
4192 
5io7 
6022 

6936 

785o 
8764 

•  9678 
677  0592 

i5o5 
2418 
3332 

4244 
5i57 

6070 
6082 

7894 
8806 


678  0629 
1 540 
3452 
3363 
4273 

5i84 
6094 
7004 
7Q14 
8824 

♦  9734 

5790643 

i553 

2461 

3370 


931a 
0433 

i352 
2271 
3191 

4iio 

5o3 

5o48 

6867 
7785 

8703 
9621 
0539 
1457 
2374 

3292 
4209 
5126 
6042 
6969 

7875 
8791 
9707 
0623 
1 538 

2454 
3369 
4284 
5190 
61 13 

7028 
7942 
8856 
9770 
o683 

r597 
2610 
3423 
4336 
5248 

6161 
7073 
7f85 
8897 


97189869 


960496969788 


o5a4 

2363 

3283 

4202 

5l2I 

6o4o 
6958 
7877 

8795 
9713 
o63i 
i54o 
2460 

3383 
43oo 
5217 
61 34 
7o5o 

7967 
8883 
9799 

0714 
i63o 

2545 
3460 
4375 
5290 
62o5 


711 
8o3 

8047 
9861 
0774 

1688 
2601 
35i4 

4437 
5340 

6252 
7164 
8076 
8988 
9900 


0616 

1 536 
2455 
3375 

4394 
52i3 

6i32 
7o5o 
7969 

8887 
9805 
0723 
i64o 
2558 

3475 
439a 
53o9 
6226 
7142 

8o58 

8074 
9890 
0806 
1721 

2637 
3552 
4467 
5382 


7210 
8125 


0708 
1628 

2547 
3467 

4386 
53o5 
6224 
7143 
8060 

8079 

9697 
o8i4 
1732 

2649 

3567 

4484 

5401 
63i7 
7334 

8i5o 
9066 
9982 
0897 
i8i3 


2728 
3643 
4558 

5473 
62966387 


7302 
8216 


9o389i3o 


0666 

779 
2692 

36o5 

45i8 

543i 


6343 
7255 
8168 


6434 

7347 
8259 
90799171 
♦082 


9991 


o8fi  0002 

1723  i8i4 
2634  2725 
3545  3636 
4455I4546 


0720 
i632 
2543 
3454 
4364 

5275  5366' 5457 

618562766367 
7095  71867277 
800580968187 
8915  9006' 9097 

9825 

0734 
i643 

2552 

3461 


99i6i*oo7 
08250016 

1734:  T025 

26432734 
3552  3643 


#o44 
0957 

1871 
2784 
3697 
4609 
55a  2 


0994 

looS 
2816 
3727 
4637 

5548 
6458 
7368 
8278 
9188 

0098 
1007 
1916 
2825 

3734 


9880997a 


0800 

1720 
2639 
3559 

4478 
5397 
63i5 
7334 
8i5a 

9070 
9988 

0906 
1824 
2741 

3658 
4575 
5492 
6409 
7325 

8242 
91 58 
♦073 
0989 
1905 

2820 
3735 
465o 
5564 


7393 

83o7 
9221 
oi35 
1049 

1962 

2875 
3788 
4701 
56i3 

6526 
7438 
835o 
9262 
0173 

io85 
1996 
2007 
3di8 
472 


9279 

0188 
1098 
aoo7 
2916 
38a5 


0892 
i8ia 

2731 
365o 

4570 
5489 
6407 
7326 

8a44 

9162 
♦080 
0998 
[916 
2833 

3750 
4667 
5584 
65oi 

7417 

8333 
9240 
oi65 
1081 
1996 

291 1 

3826 
474 1 
5656 


6479  ^^7^ 
7485 

0226 
ii4o 

2o53 
2966 
3879 
4792 
5705 

6617 

7529 
844 1 
9353 
0264 

1176 
2087 
2998 


941 


5639 
6549 
7459 
83698460 


5730 
6640 
755o 


♦064 
0984 
1904 
2823 
3742 

466i 
558o 

6499 
7418 
8336 

9254 
0172 
1090 
2007 
2925 

3842 

4759 
5676 
6592 
7509 

8425 
9341 
oa57 
1172 
2088 

3oo3 
3918 
4833 

5747 
6662 

7576 
8490 
9404 
o3i8 

I23l 

2145 
3o58 
3971 
4883 
5796 

6708 
7620 
8532 

9444 
o356 

1267 

2178 
3089 
4000 
4911 

58a  1 
6731 

7641 
855i 
I 


1180 
209$ 
3oo7 
3916 


9370946 
02790370 


1280 
2180 
3098 


01 56 
1076 
1996 
2915 
3834 

4753 
567a 
6591 
75oo 
8428 


9346  9438 


oa64 
ii8a 
2099 
3oi6 

3934 
485o 

5767 
6684 
7600 

85i6 
9432 
o348 

1264 
2179 

3094 

4009 

4924 

583 

675 

7667 
8582 
9495 
0409 
i323 


:? 


2236 

3 149 
4062 
4975 
5887 

6799 
7712 
8623 
9535 
0447 

i358 
2269 
3 1 80 
409  T 

5002 

5912 
6822 
7732 

864a 
955a 

o46i 
1371 
aa8o 
3189 
4006I4097 


0248 
1168 
ao88 
3oo7 
3926 

4845 

5764 
6683 
7601 
8520 


o356 
1273 
2191 
3io8 

4o25 
4942 
585o 
6775 
7692 

8608 
9524 
o44o 
i355 

2271 

3i86 
4ioi 
5oi6 
5930 
6845 

775o 
867J 
9587 
o5oo 
i4i4 

2327 
3240 
41 53 
5o66 
5978 

6891 

7803 
8715 
9626 
o538 

1449 
236o 
3271 
4182 
5093 

6oo3 
6913 
7823 
8733 
9643 

o55a 
i46i 
a37i 
3379 
4188 


DiC 


01234        5     6789 


9a 


Dijf.  At  Molt 


9" 


I 

3 
3 

4 
5 
6 

7 
8 

9- 


Diff. 


I 

a 
3 

4 

5 
6 

7 
8 

9 


?a 
4 
276 
368 
46o 
553 

644 
736 
8a8 


z 

273 

.1 

364 

I 

455 

1 

546 

m 

637 

I 

728 

■ 

819 

■ 

Diff.  4c  Mvh. 


LOGARITHMS  OF  NUMBERS 


67 


Num. 

4780 
8f 
82 
83 
84 

85 
86 

87 
88 
89 

4790 
9' 

9? 

93 
94 

96 

9Z 
98 

99 

4800 
01 
oa 
o3 
04 

o5 
06 
07 
08 
09 

48  10 
II 
12 
i3 

i4 

i5 
16 

17 
18 

19 

4820 
21 
aa 
a3 

24 
25 

26 

27 
28 
29 

48  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

Num. 


0_ 

6^94279 

5187 

6096 
7004 

7912 

8819 

*  9727 

6800634 

i54i 

2448 

3355 
4262 
5i68 
6074 
6980 

7886 
8792 

.0  9697 

681  0602 

i5o7 

2412 
33i7 
4222 
5126 
6o3o 

6934 

7838 

8741 

#  9645 

682  o548 

i45i 
2354 
3256 
4i59 
5o6i 

5963 
6865 
7766 
8668 

•  9569 

683  0470 
1371 
2272 
3173 
4073 


12   3   4 


5   6   7   8   9 


4370 
5278 
6187 
7095 
8002 

8910 
9818 
0725 
i632 
2539 

3446 
4352 
5259 
6i65 

7071 

7977 
8882 
9788 
0693 
1598 

25o3 
3408 
43i2 
5216 
61  ao 

7024 
7928 
8832 
9735 
o638 


4461 
5369 
6277 
7i85 
8093 

9001 
9908 
0816 
1723 
263o 

3536 
4443 
5349 
6256 
7161 

8067 
8973 
9878 
0783 
1688 

2593 
3498 
4402 
5307 
6211 

7ii5 
8018 
8922 
9825 

0728 


455  21 464  2 
5460,5551 
636816459 


i54i  i63i 
2444  2534 
3346  3437 
4249  4339 


4973 
5873 
6773 
7673 
8572 

«  9471 

684  0370 

1269 

2168 

3o66 

3965 
4863 
5761 
6669 

7556 


5i5i 

6o53 
6955 

7857 
8758 
9659 

o56o 
i46i 

2362 

3263 
4i63 


5o63 
5963 
6863 
7763 
8662 

9561 
o46o 
i35o 

2258 

3i56 

4o55 
4953 
585 1 

6748 
7646 


5241 

6143 

7045 

7947 
8848 
975o 

o65i 
i55i 
2452 
3353 
4253 

5i53 
6o53 
6953 
7853 
8752 

9651 

o55o 

1449 
2348 
3246 

4i44 
5o43 
5940 
6838 
7736 


7276 
8184 

9092 

9999 
0906 

i8i4 
2720 

3627 
4534 
5440 
6346 
7252 

8i58 
9063 
9969 

0874 
1779 

3684 

3588 

4493 
5397 
63oi 

7205 
8109 
9012 
16 
otJi9 

1722 

2624 
3527 
4429 
533 1 

6233 
7135 
8037 
8938 
9840 

0741 
1642 
2542 
3443 
4343 


5243 
6143 
7043 

>42 

8842 

974  r 
0640 
1539 
2438 
3336 

4234 
5i32 
6o3o 
6928 

7825 


7367 
8275 

9182 
♦090 
0997 
1904 
2811 

3718 
4624 
553 1 
6437 
7343 

8248 

9154 
♦059 
0064 
1869 

2774 
3679 
4583 
5488 
6392 

7295 
8199 
9103 
♦006 
0909 

i8ia 
2715 
36i7 
4520 
5422 

6324 
7225 
8127 
9029 
9930 

o83i 
1732 

2632 

3533 
4433 


5333 
6233 
7i33 
8o32 
8932 

9831 
0730 
1629 
2527 
3426 

4324 

5222 
6120 
7018 
7915 


4733 

5642 
655o 
7458 
8366 

9273 
0181 
1088 
1995 
2902 

38o8 
47i5 
5621 
6527 
7433 

8339 

9244 
01 5o 
io55 
i960 

2865 
3769 

4674 
5578 
6482 

7386 
8289 
9193 
0096 
0999 

1902 
2805 
3707 
4610 
55i2 

64i4 
73i6 
8217 
9119 
♦020 

0921 
1622 
2722 
3623 
4523 


48241491 5 
5732  5823 


664 1 
7549 
8456 

9364 
0271 
1179 
2086 
2992 

3899 
4806 
5712 
6618 

7524 

843o 
9335 
0240 
1145 
2o5o 

2955 

386o 

4764 
5668 
6572 

7476 
838o 
9283 
0187 
1090 


5423 
6323 
7223 
8122 
9022 

9021 
0820 
1719 
2617 
35i6 

44i4 
53x2 
6210 

7107 
8oo5 


^ 


95 
3798 
4700 
56o2 


65o4 
7406 
83o7 
9209 
0110 

lOIl 

1912 
2812 
3713 
461 3 


55i3 
64i3 
73i3 
8212 
9112 

♦oil 
0910 
1808 

2707 
36o5 

45o4 
5402 
63oo 

7197 
8095 


673r 
7639 

8547 

9455 
o362 
1269 
2176 
3o83 

3990 
4896 
58o2 
6709 
7614 

8520 
9426 
o33i 
1236 

2l4l 

3o46 
3950 
4855 
5759 
6663 

7567 
8470 

9374 

0277 
1 180 

2o83 
2985 
3888 

4790 
5692 

6594 
7496 
8398 
9299 
0200 

1101 
2002 
2902 
38o3 
4703 

56o3 
65o3 
74o3 
83o2 
9202 

OIOI 

1000 

1898 

2797 

3695 

4594 
5492 

6389 

7287 
8i84 


5oo6 
5914 
6822 
773o 


5097 
6oo5 
6913 
7821 


Diff. 


Diff.  &  Malt. 


8638  8729 


9545 
0453 
i36o 
2267 
3i74 

4o8o 

4987 
5893 

6799 

7705 

861 1 
9516 
0421 
i327 

223l 

3i36 
4o4i 
4945 

5849 
6753 

7657 
856i 
9464 
0367 
1270 

2173 
3076 
3978 
4880 
5783 

6684 
7586 
8488 
9389 
0290 

1191 
2092 

?993 

3893 

4793 

5693 
6593 
7493 
8392 
9291 

0191 
1089 
1988 
2887 
3785 

4683 
558 1 

6479 
7377 
8274 


9636 

o544 
i45i 
2358 
3264 

4171 
5077 

5984 
6890 

7796 

8701 
9607 
o5i2 

i4i7 

2322 
3227 

4i3i 
5o35 
5940 
6844 

7747 
865i 

9554 
0457 
i36o 

2263 

3x66 
4068 

4971 
5873 

6775 
7676 
8578 

9479 
o38o 

1281 
2182 
3o83 
3983 
4883 

5783 
6683 
7583 
8482 
9381 

0280 
1170 
2078 
2977 
3875 

4773 
5671 
6569 
7466 
8364 


0   12   3  4 


5   6   7   8   9 


90 


Diff. 


I 
2 

3 

4 
5 
6 

7 
8 


I 

2 
3 

4 
5 
6 

7 
8 


I 
a 
3 

4 
5 
6 

7 
8 

9 


182 
373 

364 
455 
546 
637 
728 
8x9 


180 

270 
36o 
45o 
540 
63o 
720 
810 


178 
267 

356 
445 
534 
623 
712 
801 


Diff.  k.  Mult. 


\ 


m 


iii 

lip' T 


(I 

I  mi 

i 


31 


'  ' 


if 


68 


LOGARITHMS  OF  NUMBERS. 


Hi 


1  2 


5  6   7  8  9 


084  84^8543 

•  93s  I 

685  0348 

ii45 

ao4i 

3017 
3o94 

4830 

5716 
6611 

7:5o7 
84oa 
9297 
019a 
1087 

1982 
2876 

3770 
4665 
5558 

645a 
7346 
8289 
9i3a 
♦025 


1602 

3787 
d68i 
4575 
5469 

6363 

7256 

8i5o 

9043 

#  9936 


5290 
618 1 

7073 
7964 
8855 


9746  9835 

0726 
161 7 
25o7 
3397 


5<i78 

'6867 
7757 

8646 

•  9535 

689  0423 

l3l2 

aaoo 

3089 

3977 
4864 
5762 
6640 

7527 
84i4 

•  9301 

690  0188 
1074 


2703 
3595 

5379 
6270 

7162 
8o53 
8944 


7596 
8492 
9387 
0282 

1 177 


654 1 
7435 
8328 
9221 
o[i4 

1007 
1900 
a  79  J 
3684 
4576 

5468 
636o 
725l 
8142 
9033 


4287 
5i77 
6067 
6956 
7845 

8735 

9624 
o5i2 
i4oi 
2289 

3 1 77 
4o65 
4953 
584 1 
6728 

7616 
85o3 
9390 
0276 
1163I1252I 


7686 
858 1 
9476 
0371 
1266 

2161 

3o55 


8823 
9712 
0601 
1490 

2378 

3266 
4i54 
5o42 
593© 
6817 

7704 
8591 

9478 
o365 


3355 
4243 
5i3i 
6018 


7703 
8680 
9567 
0454 
1 340 


3296 
4193 
5089 
5984 
6880 

7776 

8<y7i 
9566 
0461 
1 356 

225o 

3i45 
4039 
4933 
5826 

6720 

7614 
85o7 
9400 
0293 

1 186 
2078 
2970 
3863 
4755 

5646 
6538 
7429 
8321 
921  a 

oio3 
0993 

1884 

2774 
3664 

4554 
5444 
6334 
7223 
8iia 

9001 
9890 

0779 
1667 
2556 


3444 
4332 

5230 
6107 
69066995 


7882 
8760 

9656 
o542 
1429 


8902  890 

o69(>o786 

1593 

2490 


7865 
87fx) 
9()55 
o55o 
1445 

2340 
3a34 
4128 

5o22 
5916 

68 

770, 

8506 

9489 

o382 

1275 
2167 
3o6o 
3952 
4844 

5735 
6627 
7518 
8410 
9301 

01 02 
1082 
1973 

2863 
3753 

4643 
5533 
6423 
73i2 
8201 


9745 
0640 
J  535 


ij 


7793 
8(>85 
9578 
0471 

1 364 
2257 
3i49 

4o4i 
4933 

5825 
6716 
7608 
8499 
9390 

0281 
1171 
2062 
2953 
384 

4732 
5622 
65ii 
74oi 


9082 

0876 

1772 
2669 

3565 
4461 
5357 
6253 
7149 

8044 
8939 
9834 
0729 
1624 

25i8 
34i3 
43o7 
5201 
6095 


9171 

♦068 
0965 
1862 
2759 

3655 
455 1 
5447 
6343 
7238 

8i34 
9029 
9024 
0819 
1713 

2608 

4396 
5290 
6184 


8775 
9668 
o56i 

1453 
2346 
3238 
4i3o 

5022 


9090 


1756 
2645 

3533 
4421 
53o8 
6106 
7083 

7971 
8858 

9744 
o63i 
i5i8 


0957 


3621 
4509 
5397 
6285 

7172 

8059 

8946 
9833 

t>720 

1606 


4821 

571 1 
6600 
7490 


8290  8379 

9268 
01 57 
1045 
io34 
2822 


3710 
45o8 
5486 
6373 
7261 

8i48 
9035 
9922 
0808 
1695 


8864 
9757 
o65o 

1 543 
2435 
3327 
4219 
5iii 

6oo3 

6895 

7786 

8677 
9568 

0459 
1349 
a  240 
3i3o 
4020 


6689 

7579 
8468 


9261 
01 58 
io55 
195a 
2848 

3744 

464i 
5537 
643  a 
73a8 


2697 
3592 
4486 
538o 
6273 

7167 
8060 
8953 
9846 
0739 

i632 

2524 
3416 
4309 
5200 


Diff.        Diff.  Sc  Mult. 


o548 
1439 
2329 
3219 
4109 


3799 
4687 
5575 
6462 

735o 

8287 
9124 

♦010 
0897 

784 


9446 

o335 


3888 
4776 
5663 
655i 
7438 

8325 
921a 


0      12      3     4 


5     6      7     8     9 


89 


Diff. 


1 
a 

180 

3 

270 

4 

36o 

5 

45o 

6 

540 

7 

63o 

8 

720 

9 

810 

Diff.  &  Mult. 


LOGARITHMS     OF     NUMBERS, 


69 


Num. 

4900 

01 
oa 
o3 
o4 

o5 
06 
07 
08 
09 

4910 
II 
la 
i3 
14 

i5 
16 
17 
18 

^9 

4920 
21 

22 

a3 
a4 

25 

26 
27 
28 
29 

4930 
3i 

32 

33 

34 

35 

36 

37 
38 
39 

4940 
4i 
42 
43 
44 

45 

46 

47 
48 
49 

4950 
5i 
5a 
53 
54 

55 
56 

57 
58 

59 

Num. 


0      12      3     4 


5     6      7     8     9 


6901961 

a847 
3733 
46io 
55o5 

6390 
7275 
8161 
9046 

•  9930 

691  081 5 
1699 
2584 
3468 
4352 

5235 
6119 

7002 
7885 
8768 

#  965t 

692  o534 
i4i6 
22 
3ioo 

4062 

4944 
5826 
6707 
7588 

8469 

#  9350 
6930231 

iiii 
1991 

2872 
3752 
463 1 
55ii 
6390 

7269 
8149 
90*7 

*  9906 
6940785 

i663 
254 1 
3419 
4297 
5175 

6o52 

8683 
»  9560 

6950437 
i3i3 
2189 
3o65 

3941 


2049 
2p36 

3822 

4708 
5593 

6479 
7364 
8249 
9134 
♦019 

0903 
1788 
2672 
3556 
4440 

5324 
6207 
7090 

7974 
8857 

9739 
0622 
i5o4 
2387 
3269 

4i5i 
5o32 

5914 
6795 

7676 

8557 
9438 
o3i9 
1 199 
2079 


2960 

3839 

4719 
5599 
6478 

7357 
8236 
9115 

9994 
0872 

1751 
2629 
35o7 
4385 
5262 

6i4o 

7017 
7894 
8771 
9648 

o524 
i4oi 

2277 
3x53 
4029 


2i38 
3o24 
3910 

4796 
5682 

6567 
7452 
8338 
9223 
0107 

2760 

3644 
4528 

5412 
6295 

7179 
8062 

8945 

9828 
0710 
1593 

2475 
3357 

4239 

5l20 

6002 
6883 
7764 

8645 
9526 
0407 
1287 
2167 


3o48 
3927 

4807 
5687 
6566 

7445 
8324 
9303 
♦082 
0960 

1839 

2717 
3595 
4472 
535o 

6227 
7io5 
7982 
8859 
9735 

0612 
i488 
2364 
3240 
4116 


2227 
3ii3 
3 

4 

5770 

6656 

7541 
8426 
93ii 
0196 

1080 
1965 
2849 
3733 
4617 

55oo 
6384 
7267 
81 5o 
9033 

9916 
0798 
168  r 
2563 
3445 

4327 
5209 
6090 
6971 
7853 

8733 

9614 
0495 
1375 

2256 


3i36 
4oi5 
4895 

5775 
6654 

7533 
84i2 
9291 
0170 
1048 

1926 
2805 
3682 
456o 
5438 

63i5 
7192 
8069 
8946 
9823 

0700 
1576 
2452 
3328 
4204 


23i5 

320I 

4087 
4973 

5859 

6744 
763o 
85i5 
9309 
0284 

1 169 
2o53 
2937 
3821 
47o5 

5589 
6472 
7355 
8238 
9121 

♦oo4 
0887 
1769 
265 1 
3533 

44i5 
5297 
6178 
7059 
7941 

8822 
9702 
o583 
1 463 
2344 

3224 
4io3 
4983 
5863 
6742 

7621 
85oo 

9379 
0258 
ii36 

20l4 

2892 

3770 
4648 
5526 

64o3 
7280 
8x57 
9034 
991X 

0787 
x663 
2540 
3416 
4291 


240412493 
3290J337 


4176 
5062 

5947 

6833 
7718 
86o3 
9488 
0373 

1257 

2X4l 

3026 
3910 

4793 

5677 

656o 

7444 
8327 
9210 

0092 
0975 
ihj 
2739 
3621 

45o3 
5385 
6266 
7i48 
8029 

89x0 
9790 
0671 
i55i 
2432 

33x2 
4191 

5071 
5951 
683o 

7709 
8588 
9467 
o345 
1224 


426 

5i5o 

6o36 

6921 
7807 
8692 
9576 
o46i 

x346 

223o 

3ii4 

18 


2102 
2980 
3858 
4736 
56x3 

6491 
7368 

8245 
9122 
9998 


0875 
1751 
2627 
35o3 


39c 
48^ 

5765 
6649 
7532 
84i5 
9298 

0181 
xo63 

1945 
2828 
3710 

4591 
5473 
6354 
7286 
81x7 

8998 
9878 
0759 
1689 
2520 

3400 
4279 
5x59 
6039 
6918 

7797 
8676 
9555 
0433 

I3X2 


2x90 
3o68 
3946 
4824 
5701 

6578 
7456 
8333 
9209 
♦086 


0962 
1 839 
2715 
359X 
4379  4467 


258i 

3467 
4353 
5289 
6x24 

7010 
7895 
8780 
9665 
o55o 

1434 
23x8 
3202 
4086 
4970 

5854 
6737 
7620 
85o3 
9386 

0269 
ii5x 
2o34 
2916 
3798 

4680 
556i 
6443 
7324 
8205 

9086 
9967 

0847 
X727 
2608 


2670 
3556 

444-i 
5327 
62x3 

7098 

7984 

886 

975 

o638 

X522 

2407 
3291 

4175 

5o58 

5942 
6825 

7709 
8592 


2758 

3644 
453o 
54i6 
63o2 

7187 
8072 
8957 
9842 
0726 

1611 
2495 
3370 
4263 
5x47 
6o3o 
6914 

7797 
8680 


9474  9563 


3488 
4367 
5247 
6126 
7006 


0357 
1240 
2x22 
3oo4 
3886 

4768 
5649 
653 1 
74x2 
8293 


♦o55 
0935 
i8i5 
2696 


0445 
i3a8 
2210 
3092 
3974 

4856 
5737 
6619 
75oo 
838 1 


9x74  9262 


3576 
4455 
5335 
6214 
7094 


7885  7973 
876418852 


9643 
o52i 

1399 

2278 
3i56 
4o34 
491 1 
5789 

6666 
7543 
8420 
9297 
0174 

io5o 
1926 
2802 
3678 
4554 


9780 
0609 
1487 

2366 
3244 

4l2X 

4999 

5877 

6754 

763 1 

85o8 
9385 
0261 

1x38 

20l4 

2890 

3766 

4642 


0143 

I023 

X903 

2784 

3664 
4543 
5423 
63o2 
7182 

8061 
8o4o 
9818 
0697 

1575 

2453 
333i 
4209 
5087 
5964 

6842 

7719 
8596 
9472 
0349 

iaa5 
2x02 
2978 
3854 
4729 


0      12      3     4 


5     6     7     8     9 


Diff. 


88 


Diff. 


Diff.  &  Mult 


I 

3 

3 

4 
5 
6 

7 
8 


89 
178 
267 
356 
445 
534 
623 
712 
80X 


I 

88 

2 

176 

3 

264 

4 

352 

5 

440 

6 

528 

7 

616 

8 

704 

9 

792 

I 

87 

a 

174 

3 

a6i 

4 

348 

5 

435 

6 

522 

7 

609 

8 

606 

9 

783 

Diff.  &  Mult. 


f 


m 


LOGARITHMS  OF  NUMBERS. 


71 


Num. 
5020 

21 
22 
23 
24 

25 
26 

27 
28 

29 

5o3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

5o4o 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

5o5o 
5i 

52 

53 
54 

55 

56 

57 
58 
59 

5o6o 
61 
62 
63 
64 

65 
66 
67 
68 

69 

5070 
71 
72 
73 
74 

75 
76 

77 
78 

79 
Num. 


01234        56789 


Diff*. 


700  7037 

7902 

8767 

t  9632 

701  0496 

i36i 

2225 
3089 
3953 

48i6 

568o 

6543 
7406 
8269 
9132 


68906^ 
775 1  78 


* 

70208 
1720 

2582 

3444 

43o5 
5167 
6028 
68 

77 

8612 
#  9472 

703  o333 
1 193 
2o54 

2914 
3774 
4633 
5493 
6352 

7212 

8071 

8930 

»  9788 

704  0647 

i5o5 
2363 

3221 
4079 
4937 

5794 

6652 
7509 
8366 
9223 

7o5oo8o 
0936 
1792 
2649 
35o5 

436o 
5216 
6072 
6927 

7782 


7124 
7989 
8854 
9718 
o583 

1 447 

23ll 

3175 
4o39 
490J 

5766 
6629 
7493 
8356 
9218 

♦081 
0943 
1806 
2668 
353o 

4392 
5253 
6ii5 

76 
7837 

8698 
9559 

0419 
1279 
2i4o 

3ooo 
386o 

4719 
5579 
6438 

7298 
81 57 
9015 

9874 
0733 

1 591 

2449 
33o7 
4i65 
5o23 

588o 
6738 
7595 
8452 
93099394 

oi65 
1022 
1878 

2734 
3590 


7210 

8075 
8940 
9805 
0669 

1 534 
2398 
3262 
4i25 
4989 

5853 
6716 
7579 
8442 
93o5 

0167 
io3o 
1892 
2754 
36i6 

4478 
5339 
6201 
7062 
7923 

8784 
9645 
o5o5 
i366 
2226 

3o86 
3946 

48o5 
5665 
6524 

7383 
8242 
9101 


4446 
53o2 

61 57 
7012 
7868 


18 

1677 
2535 
3393 
425i 
5io8 


23 

7680 
8537 


025t 

1107 
2820 

3676 

4532 

5387 
6243 
7098 
7953 


7297 
8162 
9027 
9891 
0756 

1620 
2484 
3348 
4212 
5075 

5939 
6802 
7665 
8528 
9391 

0254 
1 1 16 
1078 
2840 
3702 

4564 
5425 
6287 
7148 
8009 

8870 
973 1 
0591 
1432 

23l2 
3172 

4o32 
4891 
5751 
6610 

7469 
8328 
9187 
♦o46 
0904 

1763 
2621 

3479 
4337 

5194 

6o52 
6909 

7766 
8623 
9480 

o337 
1 193 
2049 
2905 
3761 

4617 
5473 
6328 
7184 
8039 


7383 
8248 
9113 
9978 
0842 

1706 
2570 
3434 
4298 
5i63 

6025 
6888 
7752 
86i4 
9477 

o34o 
1202 
2064 
2926 
3788 

465o 
55i2 
6373 
7234 
8095 

8956 
9817 
0677 
1 538 
2398 

3258 
4ii8 

4977 
5837 
6696 

7555 

84i4 
9273 

Ol32 

0990 

1 848 
2707 
3565 
4422 
5280 

6i37 
6995 
7852 
8709 
9566 

0422 
1279 
2i35 
2991 
3847 

47o3 
5558 

64i4 
7269 
8124 


7470 
8335 
9199 

♦064 
0929 

1793 
2657 
3521 
4385 
5248 

6112 
6975 
7838 
8701 
9563 

0426 
1288 

2l5l 

3oi3 
3874 

4736 
5598 
6459 
7320 
8181 

9042 
9903 
0763 
1624 
a484 

3344 
4204 
5o63 
5923 
6782 

7641 

85oo 

935 

0211 

1076 

1934 
2792 
365o 
45o8 
5366 

6223 
7080 
7938 
8795 
965i 

o5o8 
1 364 
2221 

3o77 
3933 

4788 
5644 
6499 
7355 
8210 


7556 
8421 
9286 
oi5i 
ioi5 

1870 
2743 
3607 

4471 
5334 

6198 
7061 
7924 
8787 
9650 

o5i2 
i375 
2237 
3099 
3961 

4822 
5684 
6545 
7406 
8267 

9128 
9989 
0849 
1710 
2570 

343o 
4290 

5i49 
6009 
6868 

7727 
8586 
9445 
o3o3 
1162 

2020 
2878 
3736 

4594 
5452 

63o9 
7166 
8023 
8880 

9737 

0594 
i45o 
23o6 
3162 
4oi8 

4874 

572 

658 

7440 

8295 


7643 
85o8 
9372 
0237 

IIOI 

1966 
283o 
3694 
4557 
5421 

6284 

7147 
8010 
8873 
9736 

0598 
i46i 

2323 

3i85 
4o47 

4909 
5770 
663i 
7492 
8353 

9214 
♦075 
0935 

17^ 
26* 

35i6 
4376 
5235 
6095 
6954 

7813 
8672 
9531 
o38o 
1248 

2106 
2964 
3822 
4680 
5537 

6395 
7252 
8109 
8966 
9823 

0679 
1 536 
2392 
3248 
4io4 

495 
58i 
6670 
7526 
838 1 


7729 
8594 
9459 
o32 

1 168 

2o52 
2916 
3780 

4644 
5507 

6371 
7234 
8097 
8  " 


22 


o685 

1 547 
2409 
3271 
4i33 

5856 

6717 
7579 
844o 

9300 
0161 
102 1 
1882 
2742 

36o2 
446i 
5321 
6181 
7040 

7& 

87 
9617 

0475 
1 334 

2192 
3o5o 
3908 

4765 
5623 

648o 
7338 
8195 
9o52 
9908 

0765 
1621 

2477 
3333 

4189 

5o45 
5901 
6756 
761 1 
8466 


7816 
8681 
9545 
o4io 
1274 

2i38 
3oo2 
3866 
473o 
5594 

6457 
7320 
8i83 
9046 
9908 

0771 
i633 
2495 
3357 
4219 

5o8i 
5942 
6804 
7665 
8526 

9386 
0247 
1 107 
1968 
2828 

3688 

4547 
5407 
6266 
7126 

7985 
8844 
9702 
o56i 
1419 

2278 
3i36 
3993 
485i 
5709 

6566 
7423 
8280 
9137 
9994 

o85o 
1707 
2563 
3419 
4275 

5i3i 

5986 

684i 

7697 
8552 


0 


3      4 


5     6      7      8      9 


86 


Diff.  k,  Hult. 


I 

87 

2 

174 

3 

261 

4 

348 

5 

435 

6 

522 

7 

609 

8 

696 

9 

783 

Diff. 


I 

86 

3 

172 

3 

258 

4 

344 

5 

43o 

6 

5i6 

7 

602 

8 

688 

9 

774 

I 

2 

3 

4 
5 
6 

7 
8 


85 
170 
255 
340 
425 
5io 
595 
680 
765 


I 

I 


Diff,  &  MulL 


Hi 


ilK 


II 


72 


LOGAKITHMS  OF  NUMBERS. 


Num. 

5080 

«i 
8a 

83 

84 

85 
86 
87 
88 
89 

5090 
91 

9a 
93 

Oil 

95 
96 

97 
98 

99^ 

5ioo 
01 

oa 
o3 
04 

■o5 
06 
07 
08 
09 

5 1 10 
II 

13 

i3 
i4 

1 5 
16 
17 
18 

«9 

5i  so 
ai 
aa 
a3 
24 

aS 
a6 

27 
a8 

29 
5i  3o 
3i 
3a 
33 
34 

35 
36 

37 
38 
39 


01234         56789 


705  8637 
*    9492 

706  o347 
1201 
ao55 

3910 
3764 
4617 

5471 
6325 


7ij8 


8884 

«   9737 

707  0589 

i44a 
3394 
3i46 
3998 
485o 

5702 
6553 
74o5 
8a56 
9107 

•   9957 

7080808 

1659 

i5o9 

3359 


4209  4294  4379 


5o5o 
5908 

6758 

7607 

8456 

•  9805 
709  01 54 

ioo3 
i85i 

2700 
3548 
4396 
5a44 
6091 

6939 
7786 
8633 

•  9480 
7100327 


8723 

9577 
0432 

1287 

2l4l 

2995 

384q 
4704 
5556 
64io 

7263 
8116 
8069 
982a 
0675 

1 527 
2379 

3232 

4o83 
4935 

5787 
6638 
7490 
834 1 
9192 

♦043 
0893 
1744 
2594 
3444 


8808 
9663 
o5i8 
1372 
2226 

3o8o 
3934 
4788 
5642 
6495 

7348 
8202 
9055 
9907 
0760 


889418979 
9748  9834 


o6o3 

1457 

33l2 

3i66 
4020 
4873 

5727 
658 1 

7434 
8287 
9140 


1612  1698 


2465 
3317 
4169 

5020 

5872 
6724 

7575 

8426 

9277 

0128 
0078 
1829 
2679 
3529 


1174 

aoao 
a866 
3713 
4559 


5i44 
5993 
6843 
7692 

854i 
9390 
0239 
1088 
1936 

2784 
3633 
4481 

5328 
6176 

7023 
7871 
8718 
9565 
o4i2 


5229 

6078 
6928 

7777 

8626 
9475 
o324 
1 173 
20a  I 

2869 

3717 
4565 
54i3 
6261 


255o 
34o2 

4a  54 
5io6 

5957 


68096894 


ia58 
aio5 
2951 
3797 

4643 


54o4  5489 
625o6335 
70967180 
794118026 
8786:8871! 


7660 
85ii 
9362 

02l3 

io63 
1914 
2764 
36i4 

4464 
53i4 
6i63 
701 3 
7862 

8711 
9560 


0688 
1 543 
2397 

325i 
4io5 
4959 
58ia 
6666 

7519 
8372 
9225 
♦078 
0930 

1783 
2635 
3487 
4339 
5 1 91 

6042 


0409  0494 


1257 
aio6 

2954 

38o2 
465o 
5498 
6345 


71087193 
7955  8o4o 


7745 
8596 
9447 

0298 
u48 

^999 
2849 
3699 

4549 
5390 

6248 
7098 
7947 

8796 
9645 


88o3 
9650 
0496 

i343 

2189 
3o3o 
3882 
4728 

5574 

64r 

726 

8110 

8955 


8887 
9734 
o58i 

i4a8 

2274 
3ian 
3966 
48i2 

5658 
65o4 
7349 
8195 
9040 


1 34a 
2191 

3o39 

3887 
4735 
5583 
643o 

7278 
8125 
8972 
9819 
0666 

l5l2 

2359 
32o5 
4o5i 
4897 

5743 
6588 

7434 
8279 

9124 


90659150 
9919*005 
0774  0859 
1628  1714 


2483 

3337 
4190 

5o44 

58 

67 

7604 
8457 
9310 
oi63 
ioi6 

1868 
2720 

3572 

4424 
5276 

6128 

783o 
8681 
9532 

0383 
1233 
ao84 
3934 
3784 

4634 
5484 
6333 
7i83 
8o32 

8881 
973o 
0579 
1427 
2275 

3ia4 

307a 
4820 
5667 
65i5 


2568 


98598 
5i683 


3422 
4276 
5i3o 
5q83 

37 

7690 
8543 
9396 

0248 

IIOI 

1953 

2805 
3658 


9236  932119406 
0090  01 76  0261 


4509  4595 


536i 

6213 

7064 

79»5 
8766 
9617 

o468 
i3i8 
2169 
3019 


0945 

"799 
2653 

3507 
436i 
52i5 
6068 
6922 

7775 
8628 
9481 
o334 
1 186 

2039 
2891 
3743 


5446 

6298 

7149 
8000 
885i 
9702 

o553 
i4o3 
2354 
3io4 


38693954 

48o4 


io3o 
1 885 
2739 

3593 

4447 
53oo 

61 54 

7007 

7860 
8713 
9566 
0419 
1271 

2124 
2076 
3838 
4680 
553i 

6383 
7234 
8o85 
8936 
9787 

o638 
1 488 
2339 
3189 
4039 


7362 
8210 
9057 
9904 
0750 

1597 
2443 
3390 
4i36 
4982 


4719 
5569 

64i8 

7268 
8117 

8966 
9815 

o663 
i5ia 
236o 

33093 


4o57 
4904 
5753 
6600 


5837 
6673 
75i8 
8364 
9209 


7447 

8294 

9I4I 

S35 
1683 

2538 

3374 
4330 
5o66 


5654 
65o3 
7352 
8202 


1 1 16 

1070 
2824 

3678 
4532 
5386 
6339 
7092 

7946 

^?? 

o5o4 
i357 

2309 
3o6i 
3913 
4765 
5617 

6468 
7319 
8171 
9022 
9872 

0723 
1 574 
2424 
3374 
4124 


Diff. 


9o5i 

9900 
0748 
1597 
3445 

393 

4l4l 

6684 


5913 

6757 
7603 
8448 
9293 


7532 
8370 
9220 
♦073 
0920 

1766 
261 3 
3459 
43o5 
5i5i 

^. 

7687 
8533 
9378 


5739 
6588 
7437 
8287 

91 36 

9984 
o833 
1682 
a53o 


48894974 


5823 
6673 
7522 
.8371 

9320 
♦069 
0918 
1766 
261 5 


7617 
8464 
931 1 
oi58 
ioo4 

i85i 
2697 
3543 
4389 
5a35 

6081 

6937 
7772 
8617 
9462 


3463 
43ii 


3378 
4326 
5o74 
5933 

6769I6854 


5i59 
6006 


7701 
8548 
9395 
0343 
1089 

1936 
3783 
3628 

4474 
5330 

6166 
7011 
7856 
8702 
9547 


Nom. 


01234        56789 


Diff.  &  Molt. 


85 


Diff. 


1 

a 
3 

4 
5 
6 

7 
8 

9 


I 

86 

2 

173 

3 

258 

4 

344 

5 

43o 

6 

5i6 

7 

603 

8 

688 

9 

774 

85 
170 
255 
340 
425 
5io 
595 
680 
765 


Diff.  Sl  Mult 


LOGARITHMS     OF    NUMBERS. 


Num. 

5140 

4i 
42 
43 
44 

45 
46 

47 
48 

49 

5i  5o 
5i 

52 

53 
54 

55 
56 

57 
58 

59 

5i  60 
61 
62 
63 
64 

65 
66 

67 
68 
69 

5i  70 

71 

72 
73 
74 

75 
76 

77 
78 

79 

5i8o 
81 
82 
83 
«4 

85 
86 

87 
88 

89 

5i  90 

91 

95 
93 
94 

96 

9Z 
98 

99 


01234         56789 


#  9681 
711 0476 

l32I 

3i65 
3oio 

3854 
4698 
5543 
6385 
7339 

8073 
8915 

*  9759 
7130601 

1444 


9716)9800 


3387 
3i29 
3q7I 
481 3 
5655 

6497 
7339 
8180 
9021 
*  9862 

7^3  0703 
1 544 
2385 

3225 

4o65 

4905 
5745 
6585 
7425 


o56i 
i4o5 

225o 

3094 

3938 
4782 
5626 
6470 
73i3 

8i57 
9000 
9843 
0686 
1528 

2371 
32i3 
4o56 
4808 
5739 

658 1 
7423 
8264 
9105 
9946 

0787 
1628 
2469 
33o9 
4149 

4 
5 


0645 
1490 
2334 
3178 

4o23 
4867 
5710 

6554 
7398 

8241 
9084 
9927 
0770 
i6i3 

2455 
3298 
4i4o 
4982 
5824 

6665 
7507 
8348 
9189 
♦o3i 


988519969 


8264  8348 


9104 

*  9943 

714  0783 

1620 

2459 

3398 
4i36 

4974 
58i3 
665o 

7488 
8325 
9162 
7i5oooo 
0837 


29 
6669 
7509 


9187 
♦027 

0866 
1704 
2543 

338i 

4220 

5o58 

58 

6734 


1674 

25lO 

3347 

4i83 
6019 

5856 
6691 
7527 
8363 
9198 


7571 
8409 
9246 
oo83 
0920 

1757 
2594 
343o 
4267 
5io3 

5939 

6775 
7611 
8446 
9282 


0871 
1712 
2553 
3393 
4233 

5073 
5913 
6753 
7593 


0729 

1574 
2419 
3363 

4107 
4951 
5795 
6638 
7483 

8325 
9168 
♦on 
o854 
1697 

I 

2539 
3382 
4224 
5o66 
5908 

6750 
75oi 
8432 

9274 
01 1 5 


8432  85i6 


9271 
0110 
094 

1 78 
2637 

3465 
43o4 
5i43 


96  5980 
346817 


7655 
8493 
9330 
0167 
roo4 

r84i 
2678 

35i4 
435o 
5187 

6023 
6859 
7694 
853o 
9365 


0956 

2637 

3477 
4317 

5i57 

6837 

7677 


9355 
0104 
io33 
1872 
271 1 

3549 
4387 
5226 
6o63 
6901 

7739 
8576 
9414 

025l 

1088 

1925 

2761 

3598 
4434 

5270 

6106 
6942 

7778 


o8i4 
i65o 
25o3 
3347 

4191 
5o35 
5870 
6723 
7566 

84io 
9253 
0096 
0939 
1 781 

2624 
3466 
43o8 
5i5o 
5992 

6834 
7675 
85i7 
9358 
0199 

1040 
1880 
2721 
356i 
44oi 

524r 
6081 
6921 
7761 
8600 

943o 
0278 
1117 
1956 
2795 

3633 

4471 
5309 
6147 
6985 

7833 
8660 

9497 
o335 
1171 

2008 
2845 
368 1 
45i8 
5354 

6190 
7026 
7861 


861 3  8607 
94499532 


♦o54 
0898 
1743 
2587 
3432 

4376 

5l20 

5964 
6807 
765 1 

84o4 
9337 
0180 

I023 

i865 

2708 
355o 
4392 
5234 
6076 

6918 
7759 
8601 
9442 
0283 


1 1 24 
1064 
2805 
3645 
4485 

5325 
6i65 
7005 
7845 
8684 

9523 
o362 

I30I 

2o4o 

2878 

3717 

4555 
5393 
633 
7069 

7906 

8744 

958i 
o4i8 
1255 


oi38 
oo83 
1827 
2672 
35i6 

436o 
5204 
6o48 
6892 

7735 

8578 
9421 
0264 
1 107 
1950 

2792 

3634 

4477 
53i9 

6160 

7002 
7843 
8685 
9526 
0867 


1208 
2048 
2889 
3729 
4569 

5409 
6249 
7089 
7928 
8768 

9607 
o446 
1285 
2124 
2962 

38oi 
4639 

5477 
63i5 


0223 
1067 
1912 
2756 
36oi 

4445 
5289 
6i32 
6976 
7819 

8663 
9506 
0349 

IIOI 

3o34 

2876 
3719 
456i 
54o3 
6345 

7086 
7928 
8769 
9610 
045 1 

1292 

2l32 
2973 

38i3 
4653 


o3o7 

Il52 

1996 

2841 
3685 

4529 
5373 
6217 
7060 
7904 

8747 


54q3 
6333 
7173 
8012 
8852 

o5jo 
1369 
2208 
3o46 

3884 
4723 
556i 
6399 


0433 
1276 

3Il8 

2961 
38o3 
4645 
5487 
6329 

7170 
8012 
8853 

o535 

1376 
2217 

3o57 
38q7 

4737 


Num. 


0 


2092 
2929 

3765 

4601 
5438 

6273 
7109 
7945 
8780 
9616 


7i53  7336 
8074 


8911 
9749 
o586 
1423 


28 
9665 
o5o2 
1339 

2176 
3oi2 
3849 
4685 
5521 

6357 
7193 
8029 

8864 


2259 
3096 
3982 
4769 
56o5 

644i 
7276 
8112 
8948 


969919783 


5577 

64i7 
7257 
8096 
8936 

9775 
0614 
1453 

22QI 

3i5o 

3968 

48o6 
5645 
6482 
7320 

8x58 

8095 

983 

0669 

i5o6 

2343 
3i8o 
4oi6 

4852 
5688 


1236 
2081 
2925 
3769 

46i3 

5457 
63oi 
7145 
7988 

883 1 
9674 
o5i7 
i36o 
2202 

3o45 
3887 
4729 
5571 
64i3 

7254 
8096 
8937 
9778 
0619 

1 460 

23oi 

3i4i 

3 

4 


01 
21 


6524 
7360 
8196 
903 1 
9866 


566i 
65oi 
7341 
8180 
9020 

9859 
0698 
1 537 
2375 
32i4 

4c52 
4890 
5728 
6566 
74o4 

8241 
9079 
9916 
0753 
1590 

2427 
3263 
4nx) 
4936 

5772 


6608 

7444 
8279 

9115 
9950 


3     4        5      6      7      8      9 
10 


Diff. 


84 


Diff. 


73 


Diff.  Ic  MuIU 


2 

3 

4 
5 
6 

7 
8 

9 


85 
170 
255 
340 
425 
5io 
595 
680 
765 


I 

84 

2 

168 

3 

252 

4 

336 

5 

420 

6 

5o4 

7 

588 

8 

672 

9 

756 

I 

83 

a 

166 

3 

249 

4 

332 

5 

4i5 

6 

7 

'^, 

8 

m 

9 

l4i 

Diff.  &  Mult. 


74 

LOGARITHMS  OF  NUMBERS.                  1 

NUIDa 

012   34    56789 

DiC 

DiC  k.  Mult. 

Tlfi  oo33 

01 1 7 

02001028^ 

o367 

o45i 

o535 

0618 

0702 

0785 

01 

o86q 

i7od 

0952 

io36  1115 

I203 

1286 

137c 

1453 

1537 

1620 

02 

1787 

1870  195^ 

2o37 

2121 

220^ 

2288 

2371 

2455 

o3 

2538 

2623 

2705  2789 
3540  3623 

2873 

3956 

3o3§ 

3i23 

3206 

3289 

o4 

3373 

3456 

3707 

3790 

3874 

3957 

4o4o 

4124 

o5 

4207 

4291 

43744458 

4541 

46a5 

4708 

4791 

4875 

4958 

^o6 

5o42 

5r25 

5208 

5292 

5375 

545o 
6293 

5542 

5626 

5700 

5792 

■07' 

5876 

5950 
6793 

6043 

6126 

6209 
7043 

6376 

64606543 

6626 

oS 

6710 

6877 

6960 

7127 

7210 

7293 

7377 

7460 

09 

7544 

7627 

7710 

7794 

7877 

7960 

8044 

8127 

821 1 

8294 

I 

84 

168 

252 

52  10 

8377 

846i 

8544 

8627 

8711 

87948877 

8961 

9044 

9127 

3 

3 

11 

9311 

9294 

9377 

9461 

9544 

9627 

9711 

9794 

9877 

9961 

4 

<*  i«f  "• 

336 

la 

7170CJ44 

0127 

0211 

0294 

o377 

o46i 

o544 

0627 

0711 

0794 

5 

Aor% 

i3 

0877 

0961 

1044 

1 127 

1 2 10 

1294 

1 377 

i46o 

1 544 

1627 

6 

5o4 

i4 

1710 

1794 

1877 

196*) 

2043 

2127 

2210 

2293 

2377 

2460 

7 

588 

.i5 

2543 

2626 

2710 

2793 

2876 

2959 

3o43 

3i26 

3209 

3293 

8 

672 

16 

17 

3376 
4208 

3459 
4292 

3542 
4375 

3626 
4458 

3709 
4541 

3792 
4625 

3875 
4708 

3959 
479^ 

4042 
4874 

4i25 
4958 

9 

756 

18 

5o4i 

5i24 

5207 

5290 

5374 

5457 

5540 

5623 

5707 

5790 

^9 

5873 

5956 

6039 

6123 

6206 

6289 

6372 

6455 

6539 

6622 

52  20 

6705 

6788 

6871 

6955 

7o38 

7121 

7204 

7287 

7371 

7454 

31 

7537 

7620 

77o3 

7786 

7870 

7953 

8o36 

81 19 

8202 

8286 

32 

8369 

845a 

8535 

8618 

8701 

8784 

8868 

8951 

9034 

9117 

23 

9200 

9283 

9367 

9450 

9533 

9616 

9609 

9782 

9865 

9949 

M 

718  0O32 

oii5 

0198 

0281 

o364 

0447 

o53o 

0614 

0697 

0780 

25 

o863 

0946 

I030 

1112 

1 195 

1279 

1 362 

1445 

1 528 

161 1 

96 

1694 

1777 

i86q 

1943 

2026 

2110 

2193 

2276 

2359 

2442 

27 

3525 

2608 

2691 

2774 

2857 

2940 

3o23 

3 1 07 

3190 

3273 

:3<e 

3356 

3439 

3522 

36o5 

3688 

3771 

3854 

3937 

4020 

4io3 

39 

4186 

4269 

4353 

4436 

4519 

46o2 

4685 

4768 

485 1 

4934 

52  3o 

5oi7 

5ioo 

5i83 

5266 

5349 

5432 

55i5 

5598 

568 1 

5764 

3i 

5847 

5930 

60 1 3 

6096 

6179 

6262 

6345 

6428 

65ii 

6694 

32 

6677 

6760 

6843 

6926 

7009 

7092 

7175 

7258 

7341 

7424 

83 

33 

7507 

7590 

7673 

7756 

7839 

7922 

8oo5 

8088 

8171 

8254 

34. 

8337 

8420 

85o3 

8586 

8669 

8752 

8835 

8918 

9001 

9084 

35 

9167 

9250 

9333 

9416 

o328 

9582 

9665 

9748 

9830 

9913 

36 

7190826 

♦079 

0162 

0245 

o4ii 

0494 

0577 

0660 

0743 

37 

0900 
1738 

0092 

1075 

n57 

1240 

i323 

i4o6 

1489 
23i8 

1572 

38 

i655 

182 1 

1904 

1087 

3^ 

2l52 

2235 

2401 

39 

2484 

256? 

265o 

2733 

2816 

2981 

3o64 

3i47 

323o 

53  4o 

33 1 3 

3396 

3479 

3562 

3644 

3727 

38io 

3893 

3976 
4804 

4o59 

4i 

4i4^ 

4224 

43o7 

4390 

4473 

4556 

4639 

4722 

4887 

42 

4970 

5o53 

5i36 

5219 

53o2 

5384 

5467 

555o 

5633 

5716 

43 

5799 

588i 

5964 

6047 

61 3o 

6213 

6296 

6378 

646i 

6544 

I 

US 

44 

6627 

6710 

6792 

6875 

6958 

7041 

7124 

7207 

7289 

7372 

3 

2 

166 

249 
332 

45 

7455 

7538 

7621 

77o3 

7786 

7869 

7952 

8o34 

8117 

8200 

4 

46 

8283 

8366 

8448 

853i 

8614 

8697 

8780 

8862 

8945 

90?! 

5 

4i5 

47 

91 1 1 

9193 

9276 

9359 

9442 

9524 

9607 

9690 

9773 

9856 

6 

4o8 
58i 

■48 

♦  9938 

♦021 

0104 

0187 

0269 

o352 

0435 

o5i8 

0600 

o683 

7 

49 

720  0766 

0848 

0931 

ioi4 

1097 

1179 

1362 

i345 

1428 

i5io 

8 

664 

52  5o 
5i 

1693 
2430 

1676 
25o3 

1758 
2586 

i84i 

2668 

1924 

2751 

2007 
2834 

2089 
2910 

2172 

2255 

3082 

2337 
3 164 

9 

747 

52 

3247 

333o 

34i3 

3495 

3578 

366i 

3743 

^ 

3991 

53 

4074 

4i57 

4239 

4322 

44o5 

4487 

4570 

4653 

4818 

54 

4901 

4983 

5o66 

5i49 

523 1 

53i4 

5397 

5479 

5562 

5645 

55 

5727 

58io 

5892 

6801 

6o58 

6i4o 

6223 

63o6 

6388 

6471 

56 

6554 

6636 

6719 
7545 

6884 

6967 

7049 

7875 

7i32 

7215 

7297 

57 

7380 

7462 

7628 

7710 

7793 

7958 

8o4i 

8123 

58' 

8306 

8288 

8371 

8454 

8536 

8619 

8701 

8784 

8867 

8949 

59 

Num. 

9032 

9114 

9197 

9279 

9362 

944519527! 

9610 

9692 

9775 

01234    567891 

Diff. 

Diif.  iL  Mult. 

'■t 
■  I  i 


LOGARITHMS  OF  NUMBERS. 


75 


Num. 

5260 

61 
62 
63 
64 

65 
66 
67 
68 
69 

5a  70 

71 
72 
73 
74 

75 
76 

77 
78 

79 
5280 
81 
82 
83 
84 

85 
86 

87 
88 
89 

52  90 
91 
9? 

94 

96 

9Z 
98 

99 

53  00 
01 
02 
o3 
04 

o5 
06 

07 
08 
09 

53  10 
II 
12 
i3 
14 

i5 
16 

17 
18 

19 
Num. 


12      3     4 


6      7     8     9    I  Diff. 


#  9857 

721  o683 
i5o8 
2334 
3i59 

3984 
4809 
5633 
6458 
7282 

8106 
8930 

#  9754 

722  0578 
1401 

2225 

3o48 
3871 
4694 
5517 

6339 
7162 

7984 
8806 

#  9628 

723  o45o 
1272 
2093 
2914 
3736 

4557 
5378 
6198 
7019 
7839 

8660 

#  9480 

724  o3oo 
1 1 20 
1939 

2750 
3578 
4397 
5216 
6o35 


994o|»o23 


0766 
1591 
2416 
3241 

4066 
4891 
5716 
654o 
7364 


818. 
90 


6854 
7672 

8491 
*  9309 

7250127 

0945 
1763 
258i 
3398 
4216 

5o33 
585o 
6667 
7483 
83oo 


?! 

9836 
o6(3(j 
i484 

23o7 
3i3o 
3953 
4776 
5599 

6421 
7244 
8066 
8888 
9710 

o532 
1 354 
2175 

4639 
5460 
6280 
7101 
7921 

8742 
9562 
o382 
1202 
2021 

2841 
366o 

4479 
5298 
6117 


6936 

7754 
8573 
9391 
0209 

1027 
1845 
2662 
3480 
4297 

5ii4 
5931 
6748 
7565 
8382 


0848 

1674 
2499 
3324 

4i49 
4973 
5798 
6623 

7447 

8271 
9095 
9919 

0742 
1 566 

3389 

3212 

4o36 
4858 
568 1 

65o4 
7326 
8148 
8971 
9792 

o6i4 
i436 
2257 
3079 
3900 

4721 
5542 
6362 
7x83 
8co3 


oio5 
0931 
1756 
258i 
3406 

423i 
5o56 
588 1 
6705 
7529 

8353 

9177 

♦GDI 
0825 

i648 

2472 
3295 
4ii8 

4941 
5763 

6586 
74o8 
823i 
9053 

9875 

0696 
i5i8 
2340 
3i6i 
3982 

48o3 
5624 
6445 
7265 
8086 


8824 
9644 
0464 
1283 
2io3 

2923 
3742 
456i 
538o 
6199 

7018 
7836 
8655 
9473 
0291 

1 109 

1927 

2744 
3562 
4379 

5196 
6oi3 
683o 

7647 
8463 


8906 
9726 
o546 
1 365 
2i85 

3oo5 
3824 
4643 
5462 
6281 

7090 

7918 
8736 
9555 
0373 

1 191 
2008 
2826 
3643 
4461 

5278 
6095 
6912 

7728 
8545 


0188 
ioi3 
1839 
2664 
3489 

43i4 
5i38 
5963 
6787 
7613 

8436 
9260 
0084 
0907 
1731 

2554 

3377 
4200 
5o23 
5846 

6668 
7491 
83i3 
9135 

9957 

0779 
1600 
2422 
3243 
4064 

4885 
5706 
6527 

7347 
8167 


8988 
9808 
0628 

1447 
2267 

3o86 
3906 
4725 

5544 
6363 

7181 
8000 
88t8 
9636 
0454 

1272 
2090 
2908 
3725 
4542 

536o 
6176 
6993 
7810 
8626 


027010353 
1096  1 178 


192 1 

2746 
3571 

4396 

5221 
6045 
6870 
7694 

85x8 
9342 
0166 

T^ 

2636 
3459 
4282 
5io5 
5928 

6750 
7573 
8395 
9217 
♦039 

0861 
1682 
25o4 
3325 
4i46 

4967 
5788 
6609669 


2004 
2829 

3654 

4479 
53o3 
6128 
6952 

7777 

8601 

9424 
0248 
1072 
1895 

2719 
3542 
4365 
5i88 
6010 

6833 
7655 

8477 
9299 


0435 
1261 
2086 
291 1 
3736 

456r 
5386 
62x0 
7o35 
7859 

8683 
9507 
o33i 
ii54 

1978 

2801 
3624 

4447 
5270 
6092 

6915 

7737 
8559 
9383 


01 2 1  0203 


0943 
X765 
2586 

3407 
4228 

5o49 
5870 


7429 
8250 

9070 
9890 
0710 
1529 
2349 

3x68 
3988 
4807 
5626 
6445 

7263 
8082 
8900 
97x8 
o536 

1 354 
2172 
2089 
3807 
4624 

5441 
6258 

7075 
7892 
8708 


75x1 
8332 

9x52 
9972 
0792 
161 1 
243 1 

325o 
4070 
4889 
5708 
6526 

7345 
8164 
8982 
9800 
0618 

i436 

2254 

3071 
3889 
4706 

5523 
634o 

7x57 
7973 
8790 


1025 

1847 
2668 
3489 
43io 

5x3i 
5952 

6773 
7593 
84x4 

9234 
♦o54 
0874 
X693 
25x3 

3332 
4x5i 

4971 
5790 
6608 


o5x8 
1 343 
2x69 

2994 
38x9 

m4 

5468 
6293 

7117 
7941 

8765 
9580 
o4i3 
1237 
2060 

2883 
3706 
4520 
5352 
6175 

6997 
7820 
8642 

9464 
0286 

1107 
1929 
2750 
3571 
4393 

52x3 
6o34 
6855 

7675 
8496 


7427 
8245 
9064 
9882 
0700 

i5x8 
2335 
3x53 
3970 
4788 

56o5 
6422 
7238 
8o55 
8871 


9316 
oi36 
0956 

1775 
2595 

34x4 
4253 
5o52 
5871 
6690 


0600 
X426 

225l 
3076 
3901 

4726 

555i 
6375 
7200 
8024 

8848 
9672 
0495 
x3i9 
2142 

2966 
3789 
46x2 
5434 
6257 

7079 
7902 

8724 
9546 
o368 

X189 
201 1 

2832 

3654 
4475 

5296 
6116 
6937 

7757 
8578 


7509 
8327 
9146 
9964 
0782 

1599 

2417 
3235 

4o52 
4869 

5686 
65o3 
7320 
8i37 
8953 


9398 
02x8 
io38 
x857 

2677 

349^ 
43x5 
5x34 
5953 

6772 

7591 
8409 
9227 

♦045 
o863 

1681 

2499 
33x6 
4x34 
4951 

5768 
6585 
7402 
82x8 
9035 


01234        5678 


8a 


DiC&.Mulu 


Diff. 


I 

2 

3 

4 
5 
6 

7 
8 


83 
166 

249 
332 

4x5 

if 
58 1 

664 

747 


I 

83 

2 

t64 

3 

246 

4 

328 

5 

4io 

6 

492 

7 

574 

8 

656 

9 

738 

I 

81 

3 

163 

3 

243 

4 

324 

5 

4o5 

6 

486 

7 

567 

8 

648 

9 

729 

'» 

I 


Diff.  &  Mult. 


'*: 


76 


LOGARITHMS,  OF  NUMBERS 


Nam. 

ftSBO 

21 

s3 

aS 
96 

27 

98 
39 

53  3o 
3i 
3a 
33 

j4 

35 
36 

37 

39 

53  4o 
4i 

49 

JtJ§. 

45 

46 

4? 

48 

49 

53  5o 

5i 
Sa 
53 
54 

55 

57 

58 

59 

53  60 
§1 

64 

03 

66 

■67 

'utl 

69 

5370 
71 

7a 

73 

74 

75 
76 

77 
78 
79 


0 


1234         56789 


725  91 16 

•  9933 

736  0749 

338o 

3196 
4oia 

4827 
564a 
6457 

7979 
8087 
8901 

•  9716 
727  o53o 

1 344 
2i58 
3972 
3786 
4599 

54i3 
6226 
7039 
7852 
8664 

•  9477 
7280290 

1 102 
1914 
9736 


3538 
435o 
5i6i 
5972 
6784 

7595 


9216 

729  0027 
o838 

i648 
2458 
3268 
4078 
4888 

5697 

65o7 
73i6 
8125 
8934 

•  9743 

730  o552 
i36o 
ai68 

9977 

3785 

4593 
5400 
6208 
701 5 


9198 
*oi4 
o83o 
1646 
2462 

3278 
4093 

4908 
5724 
6539 

7354 
8168 
8983 

9797 
0612 

1426 
2240 
3o53 
3867 
468i 

5494 
63o7 
7120 
7933 


87468827 


9558 
0371 
ii83 
1095 
a8o7 


36r9 
443 1 
5242 
6o54 
6865 

7676 


84068487 


9298 
0108 
0919 

1729 
2539 
3349 
4i59 
4969 

5778 
6588 
7397 
8206 
9015 

9824 
o632 
1441 
2249 
3o57 

3865 
4673 
5481 
6289 
7090 


9280 
0096 
0912 
1728 
2544 

3359 
4175 
4990 
58o5 
66ao 

7435 
825o 
9064 

0693 

i5o7 

2321 

3i35 
3948 
4762 

5575 
6388 
7201 
8014 


936 1  9443 


9640 
0452 

1264 
2076 
2888 

3700 
45i2 
5323 
6i35 
6946 


0177 
0994 
1809 
2625 

344i 
4256 

5072 
5887 
670a 

7517 
833 1 
9146 
9960 
0774 

1 588 
2402 
3216 
4o3o 
4843 

5657 
6470 
7283 
8096 
8908 

9721 
o533 
1 346 
2i58 
2970 

3781 
4593 
54o4 
6216 
7027 


7838 


7757 
8568 
9379  9460 


025( 

i07§ 
1 891 
3707 

3522 

4338 
5i53 
5968 

6783 

7598 
84i3 
9227 
♦042 
o856 

1670 
2484 
3398 
4iii 
4925 

5738 
655 1 
7364 
8177 
8990 

9802 

o6i4 
1427 
2239 
3o5i 

3863 
4674 
5486 
6297 
7108 


8649873 


0189 
1000 

1810 
2620 
343o 
4240 
5o5o 

5859 
6669 
7478 
8287 
9096 

9905 
o7i3 
i52a 
233o 
3i38 

3946 

4754 
5562 


0270 
1081 

1891 
^70 1 
35ii 
43a  I 
5i3i 

5940 

6749 
755o 

8368 

9177 

9985 

0794 
i6o3 
241 1 
3ai9 

4037 
4835 
5643 


7919 
-  -lo 
9541 
o35i 
ii6a 


63696450 
7177  7^58 


197a 
3783 
3592 
44oa 

5313 

603 1 
683o 
7640 
8449 
9258 

♦066 
0875 
i683 
2492 
33oo 

4io8 

4916 
5723 
653 1 
7338 


9524 

o34 

n57 

1973 

2788 

36o4 
4419 

5a35 
6o5o 
6865 

7679 

8494 

93i 

01 

0937 

i75i 
2565 
3379 
4192 
5oo6 

5819 
6632 

7445 
8258 
9071 

9883 
0696 
i5o8 
a32o 
3i32 


9606 
0422 
1238 
2o54 
2870 

3685 
45oi 
53i6 
6i3i 


6946  7028 


7761 
8576 
9390 
0204 
1019 

1 833 
2647 
3460 
4274 
5087 

5901 

6714 
7527 
8339 
9152 

9965 

0777 
1589 
2401 
32i3 


39444025 


4755 
5567 
6378 
7189 

8000 
8811 
9633 
o432 
1343 

3o53 
3863 
3673 
4483 
5392 

6102 
691 1 

77a  I 
853o 
9338 

0147 
0956 

1764 
3573 
338i 


4836 

5648 
6459 
7270 

8081 
8892 
9703 
o5i3 
i324 

3i34 
2944 
3754 
4564 
5373 

6i83 
6092 
7801 
8610 
9419 

0228 
io37 
1845 
3653 
346i 


9688 
o5o4 
1 320 
ai36 
2951 

3767 
4582 
5398 
6a  1 3 


7842 
8657 
9472 
0286 

HOC 

1914 
2728 
3542 
4355 
5169 

5982 
6795 
7608 
8421 
9233 

♦046 
o858 
1670 
2482 
3394 

4io6 
4918 
5729 
654o 
735i 

8162 
8973 
9784 
0594 
i4o5 

3215 

3o25 
3835 
4645 
5454 

6264 
7073 
7882 
8691 
9500 

o3oo 
1118 
1926 
3734 
354a 


o58 
i4oi 

2217 

3o33 


3849  ^9-^' 


5o77 
5885 


985F 
0667 
i483 


Diff. 


418942694359 

58o4 
661  a 

7419 


5i58 
5966 


66926773 


4664 

5479 
6294 
7109 

7924 

873 

955 

0367 

1181 

1095 
2809 
3623 
4437 
525o 

6o63 
6S76 
7689 
85o2 
93i5 

0127 
0939 

1752 

2564 
3375 

4187 

4999 
58io 

6621 

7433 

8244 
9054 
9865 
0675 
i486 

2296 
3io6 
3916 
4726 
5535 


7i54 
7963 
8772 
9581 

0390 
1198 
3007 
2815 
36a3 

443i 
5239 
6o46 
6854 


io 
4745 
556i 
6376 
7191 

8oo5 
8820 
9634 
0449 
1 36  J 

2077 
2891 
3704 
45i8 
533i 

6r44 
6958 
7770 
8583 
9396 

0208 
1021 
i833 
2645 
3457 

4368 
5o8o 
5891 
6703 
75i4 

8325 
9i35 
9946 
0757 
567 

2377 
3187 

3o97 

4807 

56i6 


6345  6426 


75oo'758il766i 


7235 

8o44 
8853 
9662 

0471 
1279 
2088 
2896 
3704 

45ia 
5320 
6127 

6935 

7742 


DiiT.  Sl.  Mult. 


I 

83 

a 

164 

3 

346 

4 

328 

5 

4io 

6 

492 

7 

574 

8 

656 

9 

738 

81 


0      12      3     4        5     6     7     8     9       Die 


I 

81 

a 

i6a 

3 

343 

4 

324 

5 

4o5 

6 

486 

7 

567 

8 

648 

9 

729   1 

DiflT.  &  Mult. 


LOGARITHMS  OFNUMBERS.               77  1 

Nboi. 
5380 

01234    56789 

Diff. 

Diff.&Mulu  1 

730  7823  7903 

7984 

8o65 

8r46 

8226  83o7 

8388 

8468 

8549 

I 

81 

81 

863087 1 1 

879' 

8872 

8953 

9033 

9114 

9195 

9276 

9356 

2 

162 

82 

#  9437 

95x8 

9598 

9679 

9760 

9840 

9921 

♦002 

0082 

ox  63 

3 

243 

83 

73i  0244 

o324 

o4o5 

o486 

0567 

0647 

0728 

0809 

0889 

0970 

4 

324 

84 

loSi 

fi3i 

i2ia 

1292 

1373 

1454 

1 534 

i6i5 

X696 

1776 

5 

4o5 

85 

1857 

1938 

2018 

2099 
2905 

2180 

2260 

2341 

2422 

2502 

2583 

6 

486 
567 
648 

86 

2663 

2744 

2825 

2986 

3067 

3x47 

3228 

3309 

3389 
4x95 

7 
8 

87 

3470 

355o 

363 1 

3712 

3792 

3873 

3953 

4o34 

4ii5 

88 

4276 

4356 

4437 

45i8 

4598 
54o4 

4670 

4759 
5565 

484o 

4921 

5727 

5ooi 

9 

729 

89 

5082 

5162 

5243 

5324 

5485 

5646 

5807 

5390 

5888 

5968 

6049 

6129 

6210 

6291 

6371 

6452 

6532 

66x3 

91 

6693 

6774 

6854 

6935 

7016 

7096 

7177 

7257 

7338 

74x8 

91 

7499 

757? 

7660 

7740 

7831 

7902 

7982 

8o63 

8143 

8224 

93 

83o4 

8385 

8465 

8546 

8626 

8707 

8787 

8868 

8948 

9029 

94 

9109 

9190 

9270 

9351 

943 1 

9512 

9592 

9673 

9753 

9834 

95 

•  9914 

9995 

♦075 

oi56 

0236 

o3i7 

0397 

0478 

o558 

0639 

96 

732  0719 

0800 

0880 

0961 

104 1 

1x22 

1 203 

X283 

1 363 

1444 

97 

i524 

i6o5 

i685 

1766 

1846 

1927 

2007 

2087 

2x68 

2248 

98 

2329 
3i33 

2409 

2490 

2570 

265 1 

2731 

2812 

2892 

2972 

3o53 

99 

32i4 

3294 

3375 

3455 

3535 

36i6 

3696 

3777 

3857 

5400 

3938 

4oi8 

4098 

417914259 

4340 

4420 

45oi 

458i 

4661 

01 

4742 

4822 

4903 

4983 

5o63 

5x44 

5224 

53o5 

5385 

5465 

03 

5546 

5626 

5707 

5787 

5867 

5948 

6028 

6x09 

6189 

6269 

7073 

o3 

635o 

643o 

65io 

6591 

6671 

6752 

6832 

6912 

6993 

04 

7153 

7234 

73i4 

7394 

7475 

7555 

7636 

77x6 

7796 

7877 

o5 

7957 

8037 

8118 

8198 

8278 

8359 

8439 

85x9 

8600 

8680 

06 

8760 

884 1 

8921 

9001 

9082 

9162 

9242 

9323 

94o3 

9483 

I 

80 

07 

#  9564 

9644 

9724 

9805 

9885 

9965 

♦046 

0126 

0206 

0287 

2 

160 

08 

733  o367 

0447 

0527 

0608 

0688 

0768 

0849 

0929 

1009 

1090 

3 

3^6 

09 

1 170 

i25o 

i33o 

i4ii 

1491 

1571 

x652 

1732 

1812 

X892 

4 

3ao 

5410 

1973 

2o53 

2133 

22l3 

2294 

2374 

2454 

2535 

26x5 

2695 

5 

4oo 

II 

2775 

2856 

2936 

3oi6 

3096 

3x77 

3257 

3337 

3417 

3498 

6 

480 

I  a 

3578 

3658 

3738 

3819 

3899 

3979  4o59 

4i4o 

4220 

43oo 

7 

56o 

1 3 

438o 

446i 

4541 

4621 

4701 

4781 

4862 

4942 

5022 

5xo2 

8 

64o 

14 
i5 

5i83 
5985 

5263 
6o65 

5343 
6145 

5423 
6225 

55o3 
63o5 

5584 
6386 

5664 
6466 

5744 
6546 

5824 
6626 

5904 
6706 

9 

720 

16 

6787 

6867 

6947 

7027 

7107 

7187 

7268 

7348 

7428 

75o8 

17 

7588 

7669 

7749 

7829 

7909 

7989 

8069 

8x5o 

8230 

83io 

18 

8390 

8470 

855o 

863o 

8711 

8791 

8871 

8951 

903 1 

9111 

19 

9192 

9272 

9352 

9432 

95i3 

9592 

9672 

9752 

9833 

9913 

54  20  . 

♦9993 

♦073 

oi53 

0233 

o3i3 

0393 

0474 

o554 

0634 

0714 

21 

734  0794 

0874 

0954 

io34 

iii5 

1 195 

1275 

x355 

x435 

i5i5 

23 

1595 

1675 

1755 

i835 

1916 

1996 

2076 

2i56 

2236 

23x6 

a3 

2396 

2476 

2556 

2636 

2716 

2796 

2877 

2957 

3o37 

3x17 

24 

3197 

3377 

3357 

3437 

3517 

3597 

3677 

3757 

3837 

3917 

a5 

3997 

4077 

4i58 

4238 

43i8 

4398 

4478 

4558 

4638 

4718 

a6 

4798 

4878 

4958 

5o38 

5ii8 

5x98 

5278 

5358 

5438 

55x8 

27 

5598 

5678 

5758 

5838 

5918 

5998 

6078 

6x58 

6238 

63x8 

a8 

6398 

6478 

6558 

6638 

6718 

6798 

6878 

6958 

7o38 

7118 

80 

29 

7198 

7278 

7358 

7438 

75i8 

7598 

7678 

7758 

7838 

7918 

54  3o 

7998 

8078 

8i58 

8238 

83i8 

8398 

8478 

8558 

8638 

8718 

3i 

8798 

8878 

8958 

9o38 

91 18 

9x98 

9278 

9358 

9438 

95x8 

T  V    mr% 

32 

♦9598 

9678 

9758 

9837 

9917 

9997 

♦077 

0157 

0237 

o3i7 

1 
0 

237 

3x6 

33 

0%          M 

735  0397 

0477 

0557 

0637 

0717 

0797 

0877 

0957 

io36 

1116 

3 
4 

34 

1196 

1276 

1 356 

i436 

i5i6 

1596 

1676 

1756 

1 836 

1916 

35 

1995 

2075 

2i55 

2235 

23i5 

2395 

2475 

2555 

2635 

2715 

5 

395 

36 

2794 

2874 

2954 

3o34 

3ii4 

3194 

3274 

3354 

3434 

35x3 

6 

474 

37 

35933673 

3753 

3833 

3913 

3993 

4073 

4i53 

4232 

43x2 

7 

553 

38 

4392'4472 

4552 

4632 

47" 

4791 

4871 

4951 

5o3i 

5iii 

8 

633 

39 
Num. 

5191  527o535o 

543o  55 10 

5590 

5670 

5749 

5829  5909 

9 

711 

01234    56789 

Dim 

Diff.  &  Mult.  1 

% 


G' 


I 


5ii|iS^ 


'Pf-iiiiiiii 


78 


LOeARITHMS     OF    NUMBBRS. 


t 


m 


i 


0      12      3     4 


5      6 


8 


735  5989  6069 


8965 
476a 
5558 
6355 
7i5i 

7o48 

8744 

•  9640 
7370335 


4o45 
484 1 
5638 
6435 
7231 


4i34 
4931 
5718 
65 1 4 
73ii 


62  »8 

7027 
78aS 
8623 
94ao 

oai8 
1016 
i8i3 
2610 

3407' 

4204 
5ooi 

5797 
6594 
7390 


Il3l  J2IO 

2006 
2801 
3596 
4392 
5i86 


0298 
1095 
1893 
a6oo 

3487 

4284 
5o8o 

5877 
6674 

7470 


81868266 


7491 
8285 

9079 

*  9873 
7380667 

i46i 
2254 
3o48 

384i 
4634 

5427 
6a  ao 
701 3 


5981 

6776 

7570 


9953 

0747 
1 540 
2334 
3i27 


7885 

8677 
9470 
0262 


6061 
6855 

765o 


83646444 
9159  9a38 

♦o32 
0826 
i6ao 
a4i3 
3207 


4793 

m 


7964 
8756 


2i65 
2960 

3755 
455o 
5345 

6i4o 
6935 

7729 
8523 
9317 


6220 

7014 
7808 
86o3 
9397 


400040794159 
~  4872  4952 

64586537 
725 1  733o 


8o43 
8836 


io54jii33 

i845 
2637 


9549  9628 
o34i  0420 
1212 


1925 

2716 
35o8 


8a54 
89669045 

97569835 
05460635 
i336i4i5 
2126 


2916 


5i7o|5a49 

5961 

6752 
7543 


2203 
2995 


8123 
8915 

9707 

0499 
I29I 

2o83 
2875 
3666 


2004 
2796 

3429  35o8  3587 

4230  429914378  4458 

5oi  1  5091  ' 

58o3  5882 
65946673 
7384  7463 
8175  8a54  8333 


6o4o 
683i 
7622 
84t2 


0783 
1573 
2363 
3i53 


6468 
7266 

8064 
886a 
95809660 


0378 
1175 
1972 

2770 
3567 

4363 
5 160 
5957 
6753 
7549 

8346 
9142 
9937 
0733 
1529 

2324 
3u9 
3914 
4709 
55o4 

62996378 
70047173 

7888 
8682 


0457 
1255 

2052 

2849 
3646 

4443 
5240 
6o36 
6833 
7629 

8425 
9231 
♦017 
o8i3 
1608 


6548 
7346 

8144 
8942 

9740 

0537 
i335 
ai32 

3726 

4523 

5319 

)ii6 

691a 

7709 


85o5 
9301 
0097 
0892 
1688 


6707 
75o6 
83o4 
9101 
9899 

0697 

1494 
2291 
3o88 
3885 


24o4  2483 


0270 
1064 
1858 
265 1 
3445 


5o3i 
5824 
6617 

7409 


3>99 
3994 

47«9 
5584 


7967 

8762 

94769556 


o35o 
1 143 

1937 
2731 

3524 


3278 
4074 
4868 
5663 

6458 
7252 


8584  8664 
93809460 
01760256 
0972  io5i 
1767  1847 


8aoa 


0578 
1370 

2162 

2954 

3745 
4537 
5328 


8281 
9?73 


80478 
884 1 
9635 

0429 

1223 
2016 
2810 

36o3 


2563 
3358 
4i53 

4948 
5743 

6537 
7332 
1 26 
8930 
9714 


o5o8 
i3o2 
2096 
2889 
3683 


42384317439644764555 

5i  10  51005269  5348 

5962  606a  6i4i 

677568546934 

7568  7647  7726 


836o 
9153 


98669945 

0658  " 
i45o 


2241 
3o33 
3824 

46i6 
5407 


a32i 

3lI2 

3904 

4695 
5486 


857086498728 
9519 


33 1 1)3390 


844o 
933a 

«024 

0816 
1608 

2400 
3ioi 
3983 

4774 
5565 


a64a 
3437 
4233 
5027 
58aa 

6617 
741 1 
8206 

9000 
9794 

o588 
1 382 
2175 
2969 
3762 


65i9 
93it 
oio3 
o8o5 
1687 

2479 
3270 

4062 

4853 

5644 


o3o9|o388 
1 178 
1968 
2758 
3548 


0   12  3  4 


Die       Diflr.  Ic  Mult. 


I 

fin 

a 

160 

3 

a4o 

4 

3ao 

5 

400 

6 

480 

7 

56o 

8 

64o 

9 

720 

LOGARITHMS  OF  NUMBERS 


79 


Diir.       Diffl  Jb  Mult. 


Nuto. 

5500 

01 
02 
o3 
o4 

o5 
06 
07 
08 
09 

55  10 
II 

13 

i3 
i4 

i5 
16 

17 

lo 

'9 

55  20 
ai 
22 

23 

24 

a5 
a6 

27 
38 
29 

55  3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

5540 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

55  5o 
5i 

52 

53 
54 

55 

56 

57 
58 

59 

Nam. 


0      12     3     4 


5     6      7     8     9 


740  362713706 


4416 
5206 
5qo5 


99' 

78/ 


6784 

7573 

8362 

9i5i 

*  9939 

74 1  0728 

i5i6 
23o4 
3092 
388o 
4668 


4495 
5285 
6074 
6863 

7652 

844i 
9230 
♦018 
0807 

1595 
•i383 
3171 
3959 
4746 


5455  5534 
6243  6321 
70307109 


7817 
8604 

#  9391 

7420177 
0964 
1750 
2537 

3323 
4109 
4895 
568o 
6466 

725i 
8o37 
8822 

#  9607 

743  0392 

1176 
1961 
2745 
353o 
43i4 

5098 
5882 
6665 

7449 
8232 

9016 
#9799 

744  o582 
1 365 

-  2147 

2930 
3712 

4495 

5277 
6059 

684 1 
7622 
84o4 
9185 
#  9967 


7896 
8683 


3785 
4574 
5364 
61 53 
6942 

773 1 
8520 
9308 
0097 
o885 

1674 
2462 
325o 
4o37 
4825 

56i3 
64oo 
7187 
7974 
8761 


3864 
4653 
5443 
6232 

7021 

7810 

8599 

9387 
0176 

0964 

1752 

254i 
3328 
4ii6 
4904 

5691 

6479 
7266 

8<:j53 

884o 


9469 
02  56 
1043 
1829 
2615 

3401 
4187 
4973 
5759 
6544 

7330 
8ii5 
8900 
9685 
0470 

1255 
2o39 
2824 
36o8 
4392 


9548 
o335 
1121 
1908 


3943 
473a 

5522 

63ii 
7100 

7889 
8678 
9466 
oa55 
1043 

i83i 
2619 

3407 
4195 
4983 

5770 
6557 
7345 
8i32 
8919 


9627 
o4i3 
1 200 
1986 
2694  3773 


3480 
4266 
5o52 
5837 
6623 

74o8 
8194 
8979 
9764 
o549 

i333 
2118 
2902 

3686 
4470 


355< 

4341 
5i3o 
5916 
6702 

7487 
8272 
9057 
9842 
0627 

[4l2 

2196 
2981 

3765 
4549 


5176 

5960 

6744 

7527 
83ii 

9094 

9877 
0660 

1 443 
2226 

3oo8 
3791 
4573 
5355 
6i37 

6919 
7701 
8482 

9264 
♦o45 


5254 
6o38 
6822 
7605 
8389 

9172 
9955 


5333 
6117 


9705 
0492 
1279 
2o65 
285 1 

3637 
4423 

5200 

5993 

6780 

7565 
835  r 
91 36 
9921 

0705 

1490 
2275 
3o59 
3843 
4627 

54ii 
6195 


69006979 


7684 
8467 

9250 
♦o34 


07380817 


l52I 

23o4 

3o86 
3869 
465 1 
5433 
62i5 

6997 

7779 
856o 

9342 

OI23 


1 599 

2382 

3i65 

3947 
4729 

55ii 
6293 

7075 
7857 
8638 
9420 
0201 


4022 
481 1 
56oi 
6390 
7179 

7968 
8756 
9545 
o334 
1122 

1910 
2698 
3486 
4274 
5o6i 


7762 
8546 

9329 
0112 
0895 
1678 
2460 

3243 
4025 
4807 
5590 
6372 

7i53 
7935 

8717 
9498 
0279 


0   12   3  4 


4ioi 
4890 
5679 
6469 

7258 

8o47 
8835 
9624 
o4i2 
1 201 

1989 

2777 
3565 
4353 
5i4o 


4180 
4969 
5758 
6548 
7337 

8125 
8914 
9703 
0491 
1280 

2068 
2856 


4259 
5o48 
5837 
6626 
741 5 

8204 
8993 
9782 
0570 
1 358 

2i46 
2935 


3644  3722 


443 1 
5219 


5849 
6636 
7423 
8210 
8997 

9784 
o57i 

i357 
2i44 
2930 

3716 
45o2 
5288 
6073 
6859  6937 

7644 


5928 
6715 
75o2 

8289 

9076 

9863 

0649 
1 436 
2222 
3oo8 

3794 
458o 
5366 
6i52 


45io 
5298 


8429 
9214 

9999 

0784 

1 569 
2353 
3i37 
3922 

4706 

5490 
6273 

7057 
7841 
8624 

9407 
0190 
0973 
1756 
2539 

3321 
4io3 
4886 
5668 
645o 

7232 
801 3 

8795 
9576 
o357 


7722 
85o8 
9293 
♦078 
0862 


1647 

243  T 
3216 
4000 
4784 

5568 
6352 
7135 
7919 
8702 


6006 

6794 
7581 
8368 
9155 

994c 
0728 
i5i5 
23oi 

3087 
3873 

4659 
5445 
623o 
7016 

7801 
8586 
9371 
01 56 
0941 

1725 

25lO 

3294 
4078 
4862 

5646 
643o 
7214 

7997 
8781 


6o85 
6872 
7660 

8447 
9233 


4338 
5i27 
5916 
6705 
7494 

8283 
9072 
9860 
0649 
1437 

2225 

3oi3 
38oi 
4589 
5376 

6164 
6951 
7738 
8525 
9312 


♦020 
0807 
1593 
2379 
3i66 


0099 
o885 
1672 
2458 
3244 


9485 
0268 
io5i 
1 834 
2617 

3399 
4182 
4964 
5746 
6528 

73io 
8091 
8873 
9654 
0435 


9564 

o347 
ii3o 
1912 
2695 


3952 

4737 
5523 
63o9 
7094 

7880 
8665 
9450 
0235 
1019 

i8o4 
2588 
3373 
4i57 
4941 

5725 
65o8 
7292 
8076 
8859 

9642 
0425 
1208 
1991 

2773 


4o3o 
48i6 
56o2 
6387 

7173 

7958 
8743 
9528 
o3i3 
1098 

1882 
2667 
345 1 
4235 
5019 

58o3 
6587 
7370 
81 54 
8937 

9720 
o5o3 
1286 
2069 

2852 


3478 

4260 
5o42 
5824 
6606 

7388 
8170 
8951 
9732 
o5i4 


3556 
4338 

5l20 

5902 
6684 

7466 
8248 
9029 
9810 
0592 


Diff. 


3634 
44i6 

6762 

7544 
8326 
9107 
9889 
0670 


5  6  7  8  9 


Diff.  &  Mult. 


I 

2 
3 

4 
5 
6 

7 
8 


79 
i58 

237 

3i6 

395 

474 
553 
632 
711 


I 

78 

2 

i56 

3 

a34 

4 

3l2 

5 

390 

6 

468 

7 

546 

8 

624 

9 

702 

Diff.       Diff.  4;  Mult, 


ill 


80 

Num. 

MHO 
6i 
63 
63 
64 

m 

66 

67 
68 
69 

5570 
71 
78 
73 
74 

75 
70 

77 
78 

79 

33  oO 
81 

Ba 

83 

84 

85 
86 
87 
68 
89 

5590 

91 

92 

93 

od 
Tr* 

95 
96 

^ 

99 

56  00 
01 
03 
o3 
o4 

o5 
06 

07 
08 
09 

56  lO' 
II 
la 
i3 

i5 
16 

17 
18 
19 


LOGARITHMS  OF  NUMBERS. 


01234         56789 


74507480826 
i5a9  1607 


23lO 

3091 
3871 

4653 
5433 

6313 

6993 

■777a 

855? 

•  9332 

746  01 1 1 

0890 

1670 

2449 
3328 
4006 
4785 

5564' 

6343 


3388 
3169 
3949 

473o 
55io 
6290 

7070 
785o 

863o 
9410 
0189 
0960 
1748 


3537 
33o6 
4084 
4863 
564i 


090410983 


i685 
2466 

3247 
4027 

4808 
5588 
6368 
7148 
7928 

8708 

9487 
0267 
1046 
1825 


7120 

7898 
8676 

•  9454 

747  0232 
1009 

1787 

2564 
334 1 

4ii8 
4895 
5672 
6448 
7335 

8001 

8777 

•  9553 

748  0329 
iio5 

1880 
2656 
343 1 
4206 
4981 

5756 
653 1 
73o6 
8080 
8854 

•  9629 

749  o4o3 

1 177 
1950 

1724 


6420 
7198 

7976 
8754 
9532 

o3io 

1087 

1864 
3643 
3419 

4196 
4973 
5749 
6526 
73o2 

8079 

8855 
9631 
o4o7 
1 182 


2605 
3383 
4162 

4941 
5719 

6498 

7276 

8o54 
8832 
9610 

o387 
ii65 

1942 
2719 
3497 

4273 


1763 

2544 
3325 
4io5 


7226 
8006 


9565 
o345 
1 1 24 
1903 

2682 
3461 
4240 


1060 
i84i 
2623 
34o3 
4i83 


48864964 

5666  5744 
6446|6524 

73o4 

8084 


87868864 


9643 
0423 

1203 
1981 

3760 

3539 

43i8 


5019.5097 
5797  5875 


5o5o 
5827 
66o3 
738o 

8i56 
8932 
9708 
0484 
1260 


1958 

2733 
35o9 
4284 
5o59 

5834 
6608 
7383 
8157 
8932 

9706 
o48o 
1254 
2028 
2801 


6575 
7354 
8i32 
8910 
9687 

o465 
1243 
2020 

3574 
435i 


3498  3575 
4271 '4348 
5o44  5i22 
58175895 
65906668 


2o35 
281 1 
3586 
436 1 
5i36 

5911 
6686 
746o 
8235 


5i28 
5905 
6681 
7458 

8234 
9010 


97869863 


o563 
1 337 


3Il3 

2888 
3664 


5ai4 


5981 
676. 
7538 
83i2 


90099087 


6653 
743i 
8210 
8987 
9765 

0543 

l320 

2098 

2875 
3652 

4429 
53o6 
5982 
6759 
7535 

83ii 

9087 


0639 
i4i5 


3190 
3966 
3741 
44394516 
5391 

6066 
684i 
7615 


8 

9938 
0712 


97839861 
0557  o635 
1 33 1  i4o9|i486 

2Io5  2l83  236o 

2879  ^9^6  3o34 

3652  373o  38o7 
44a6  45o3|458o 
519952765353 
597260496127 
6745  6822  6899 


1 1 38 
1919 
2700 
348i 
4a6i 

5o42 

5822 

6602 
7382 
8162 

8942 
9721 

o5oi 
1280 
2059 


2838 
36i7 
4396 
5i74 
5953 


6731 
7509 
8287 
9065 
9843 

0621 
1398 
2175 
3953 
3730 

45o7 
5283 
6060 
6836 
7613 

8380 
9165 

9941 

0717 

1492 


1217 

1998 
2778 
3559 
4340 

5l20 

5900 

6680 
7460 
8240 

9020 

9799 

0579 
1 358 
2i37 

2916 
3695 
4474 

5252 

6o3i 


6809 
7587 
8365 
9'43 
9921 

0698 
1476 
2253 
3o3o 
38o7 

4584 
536i 
6i38 

6914 
7690 

8467 
9243 
♦019 
0794 
1570 


1295 

3076 
3856 
3637 
4418 

5198 
5978 
6758 
7538 
83i8 

9098 

9877 
0657 
1436 

23l5 

2994 

3773 

4552 
533o 
6108 


1373 
3 1 54 
2934 
3715 


5276 
6o56 
6836 
7616 


i45i 

2232 

3oi3 

3793 


44964574 


6887 

7665 
8443 
9221 
9998 


9176 
9955 
0735 
i5i4 
2293 

3072 
385 1 
4629 
5408 
6186 


6965 

7743 
8521 
9390 
♦076 

0776  0854 


2268 
3o43 
3819 
4594 
5369 

6144 
6918 
7693 
8467 
9242 

♦016 
0790 
1 564 
2337 
3iii 

3884 
4658 
543 1 
6204 


6977  7054 


2346 

3i2I 

3896 
4671 
5446 

6221 
6996 

7770 
8545 
9319 

0093 
0867 
1641 
34i5 
3i88 

3962 

4735 
55o8 
6281 


i554 
233i 
3io8 
3885 

4662 
5439 


5354 
61 34 
6914 
7694 


83968474 


i63i 
2409 
3i86 
3963 

4740 
55i6 


62156293 
6993  7009 

7768  -  - 

8544 


9330 
0096 
0872 

1648 


2423 
3198 
3974 
4749 
5524 

6299 

7073 
7848 
8622 
9396 

0170 
0944 
1718 
2493 
3266 

4039 
4812 
5585 
6358 
7i3i 


Nain. 


7846 

8623 
9398 
0174 
0950 
1725 

35oi 

3276 

4j5i 
4826 
56oi 

6376 
7i5i 
7925 

8700 
9474 

0348 
1022 
1796 
2569 
3343 

4ii6 
4890 
5663 
6436 
7209 


9354 

♦o33 
o8i3 
1593 
2371 

3i5o 
3929 

4707 
5486 

6264 

7042 

7821 
8598 
9376 
01 54 

0932 

709 
3486 
3363 
4o4o 

4817 
5594 
6371 

7147 
7923 

025l 

1027 
i8o3 

2578 

3354 
4129 

4904 
5679 

6453 
7228 
8oo3 

8777 
9551 

o325 

;??? 

2647 
3420 

4194 
4907 
5740 

65i3 

7286 


0      12      3     4         5     6     7     8     9 


Dir. 


78 


Diff. 


Diff*.  k.  Muit. 


I 
2 
3 

4 
5 
6 

7 
8 

9 


i58 
337 
3i6 
395 

474 
553 
632 

711 


I 

3 

3 

4 
5 
6 

7 
8 

9 


I 

78 

a 

i56 

3 

234 

4 

3l2 

5 

390 

6 

468 

7 

546 

8 

624 

9 

702 

77 
i54 

33l 

3(>8 
385 
462 
539 
616 
693 


Diff.  k.  Malt. 


LOGARITHMS    OF     NUMBERS. 


81 


Num. 

5620 

21 
aa 

23 

34 

25 

26 

27 

28 
39 

56  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

56  40 

4i 
42 
43 
44 

45 
46 

47 
48 

49 

56  5o 

5i 

52 

53 

54 

55 
56 

57 
58 

59 

56  60 
61 
62 
63 
64 

65 
66 

67 

68 

69 

5670 

71 
72 

73 

74 

75 

76 

77 
78 

79 
Num. 


0   1 


3  4    5   6   7  8   9 


749  7363 1 7440 
8i36  82i3 


8908 
*  9681 

750  0453 

1225 

1997 

2769 

3541 
43i2 

5o84 
5855 
6626 
7398 
8168 

8939 
»  9710 

75 1  0480 

I25l 

2021 

2791 
356 1 
433 1 
5ioi 
5870 


6639 
7409 
8178 

8947 

*  9716 

752  o484 
1253 
2022 
2790 
3558 

4326 
5094 
5862 
6629 

7397 

8164 
8932 

*  9699 

753  o466 

1232 

'99? 

2766 

3532 
4298 
5o65 

583 1 
6596 
7362 
8128 
8893 

*  9659 

754  0424 
1189 

1954 
2719 


8986 
9758 
o53o 

i3o2 
2074 
2846 
36i8 
4390 

5i6i 
5932 
6704 

7475 
8246 

9016 
9787 
o557 
i328 
2098 

3868 
3638 
4408 

5i77 
5947 

6716 
7486 
8255 
9024 
9793 


7518 
8290 
9063 
9835 
0608 

i38o 

2l52 
2924 
3695 
4467 

5238 
6010 
6781 
7552 
8323 

9093 
9864 
o634 
i4o5 
2175 

2945 
3715 
4485 
5254 
6024 

6793 
7563 
8332 
9101 
9870 


7595 
8368 
9140 
9913 
o685 

1457 
2229 
3ooi 

3772 
4544 

53 1 5 
6087 
6858 
7629 
8400 

9170 
9941 
071 1 
1482 

2252 

3o22 
3792 

4562 
533 1 
6101 


o56i 
i33o 
2098 
2867 
3635 

44o3 

5171 
5939 
6706 
7474 

8241 
9008 
9775 
o542 
1 309 

2076 
2842 
3609 
4375 
5i4i 

5907 
6673 
7439 
8204 
8970 

9735 
o5oo 
1265 
2o3o 
2795 


7672 
8445 
9217 
9990 
0762 

1 534 
23o6 
3078 
385o 
4621 

5392 
61 64 
6935 

7706 
8477 

9247 
♦018 
0789 
1 559 
2329 

3099 
3869 
4639 
5408 
6178 


o638 
1 407 
2175 
2944 
3712 

4480 
5248 
6oi5 

6783 
7550 

83x8 
9085 
9852 
0619 
i386 

2X52 
2919 

3685 
4452 
52x8 


6870 

7639 

84o. 

917 

9946 

07x5 
x484 

2252 
3020 
3788 

4556 
5324 
6092 
6860 
7627 

8394 
9162 
9929 
0696 
1462 

2229 
2996 
3762 
4528 
5294 


5984 
6750 
75x5 
828X 
9046 

9812 
o577 
x342 
2x07 
2872 


6060 

6826 

75c 

8357 

9123 


6947 

7716 

8485 
9254 
♦023 

0792 
i56o 
2329 
3097 
3865 

4633 
540  X 
6169 
6936 

7704 

847T 
9238 
♦oo5 

0772 
1539 

23o6 
3072 
3839 
46o5 
5371 

6x37 
6903 
7668 
8434 
9199 


9888 
o653 
i4i8 
2i83 
2948 


9965 

0730 

1495 
2260 
3o25 


775o 

8522 

9295 

♦067 


7827 

8599 
9372 
0144 


08390916 


1611 
2383 
3x55 
3927 
4698 

5470 
6241 
70x2 

7783 
8554 

9325 
0095 
0866 
1 636 
2406 

3176 
3946 
4716 

5485 
6255 


x688 
2460 

3232 

4oo4 

4775 

5547 
63i8 
7089 
7860 
863 1 

9403 
0172 
0943 
1713 
2483 

3253 
4023 

4793 
5562 
6332 


7904 
8677 
9449 
0221 

0994 

1766 
2538 
3309 

4081 
4853 

5624 
6395 
7166 

7937 
8708 

9479 
0249 
1020 
1790 
256o 


7981 

8754 
9526 
0299 
1071 

x843 
26x5 

3387 
4i58 
4930 

5701 
6472 
7243 
8014 
8785 

9556 
0326 
1097 
1867 
2637 


7024 
7793 
8562 
933  r 
0x00 


7101 
7870 
8639 
9408 
0177 


0869  0946 


x637 
2406 

3x74 
3942 

4710 
5478 
6246 
70i3 
7781 

8548 
93x5 
0082 
0849 
16x6 

2382 

3x4? 
3915 
4682 
5448 

62x4 

6979 
7745 
85xx 
9276 

♦o4x 
0806 
i57X 
2336 
3ioi 


1714 
2483 
3  2*5 1 
4019 

4787 
5555 

6322 

7090 

7857 

8625 

93 

01D9 

0926 

1692 


333o 
4ioo 
4870 
5639 
6409 

7178 

7947 
8716 
9485 


3407 
4x77 
4947 
57«6 
6486 


8059 
883i 
9604 
0376 
xi48 

X920 
2692 
3464 
4235 
5007 

5778 
6549 
7320 

8091 
8862 

9633 
o4o3 
1174 
1944 

2714 

3484 
4254 
5o24 
5793 
6563 


Diff. 


7255 
8024 
8793 
9562 
62540331 


2459 
3226 
3992 

4758 
5524 

629 

7o56 
7822 
8587 
9353 

0118 
o883 
i648 
24x3 
3x78 


X023 

I79X 

2559 

3328 

4096 

4864 
563  X 
6399 
7167 
7934 

8701 
9469 
0236 
1002 

1769 

2536 
33o2 
4069 
4835 
56oi 

6367 
7x33 
7898 

8664 
9429 

oxo4 
0959 

1724 
2489 
3254 


1099 
1868 
2636 
3404 
4172 

4940 
5708 
6476 
7243 
80x1 


8778 
9545 
o3x2 

1079 
1 846 

2612 

3379 
4x45 
49x1 

5677 

6443 
7209 
7975 
8740 
9506 


7332 
8x01 
8870 
9639 
o4o8 

1176 
1945 
2713 
3481 
4249 

5oi7 
5785 
6553 
7320 
8088 

8855 
9622 
0389 
xx56 
X922 

268. 

345 

4222 

4988 

5754 

6520 
7286 
8o5i 

88x7 
9582 


027X 
io36 
x8oi 
2566 
333o 


o347 
1X12 

1877 
2642 

3407 


Diff.  &  Mult. 


77 


I 

77 

2 

i54 

3 

23  I 

4 

3o8 

5 

385 

6 

462 

7 

539 

8 

616 

9 

693 

01234         56789 


I 

76 

a 

iSa 

3 

328 

4 

3o4 

5 

38o 

6 

456 

7 

533 

8 

608 

9 

684 

I 


Diff. 


Diff.  &  Mult.   I 


a 


82 


LOGARITHMS    OF    NUMBERS. 


Nnin. 


,  » 


2      3 


5     6      7 


TM  34«3 
4248 
5oia 

5777 
634 1 


3636 
44oi 
5i65 

7457 
Saai 


89098985 


4937 

5700 
646a 

7224 
7987 

8749 
•  9510 

7560272 
io34 
1795 

2556 
33i8 


8ao8 

9001 

97499825 

o588 


5oi4 
5776 
6538 
73oi 
8<>63 


1275 
ao38 
2802 

3564 

4327 

Sooo 
5852 
66i5 

7377 
8139 


3713 

4477 
5242 

6006 

6770 

7534  7610 
8374 
91 38 
9901 
o665 


3866  394a  4oio 


463o  4707 


i352 
2u5 

2878 
364 1 

44o3 


8825  8901 
95879663 


40794 

484o 

56<x) 


0^48 
1 1 10 
1871 


2633 

3394 

1 55 

4916 

5o77 


636 1  6437 
71227198 
788a  7^58 
8643  8718 
94029478 


0424 
1 186 
1947  2024 


97399815 
o5oi  0577 
1262  1 338 


757  0162 
0922 

I0li2 

a442 
3201 

3960 
4719 

5479 
6a37 
6996 


0238 
0908 

1758 
25i7 

3277 

4o36 
47?5 
5554 
63i3 


2100 


7755 
85i3 
9272 

758oo3o 
0788 

1 546 

i3o4 
3o6a 
38i9 

4577 


o3i4 

1074 
i834 
2593 
3353 

4lI2 

4B71 
563o 
6389 


70727*40 


783 1 
8589 
9348 
0106 
0864 

1622 
a38o 


7907 
8665 
94a3 
oi8a 
0940 

1698 
2456 


0390 
ii5o 

lOIO 

2069 

3429 

4188 

4947 
5706 
6465 
7224 


3i 38  32 1 3 
38953971 
4653  4728 


7982 
8741 

1016 

»774 
253 1 
3289 


o466 
1226 

1986 

2745 
35o5 

4264 
5o23 
5782 
654i 
73oo 


5334  5410  5486  5561  5637 
6091  6167  6243  63196394 
6648  6924  7000, 7070  7 1 5 1 

7(8057081  7757J7832 
8362  8438185  f4'8589'8665 


8o58 
8817 
9575 
o333 
1091 

1849 
2607 
3365 


4o474i2a 
48044880 


7687  7763 

845o8527 

92149290 

9978 

0741 


4785 

5547 
63ii 

7076 

7839 
86o3 
9367 
oi3o 


♦054 

08170894 


i58i 
2344 
3io7 
3870 
463a 


2937 
36o8 
4459 


9443 
0207 
0970 

1733 

2496 
3259 


1% 

9520 
0283 
io46 


5319 
6081 
6843 
7606 
8368 

91 3o  9206  9282  9358I9434 


2252  a328  2404 

3i65 
3927 
4687 
5448 


9782  9858 


324a 

4oo3 

4764 
5524 
6209  6285 


6970 
773o 
84oo 
9250 
♦010 


7046 
7806 
8566 
9326 
0086 


81348210 
88038968 

9651  9727 


0409 
1167 

1925 

2683 
344  > 
4198 
4956 


o485 
1243 

2001 
2759 
35i6 
4274 
5o3i 


8286 
9044 


0770 
1 536 
2290 
3o49 
38o8 


o846 
1606 
2366 
3ia5 
3884 


4568  4644 
53a754o3 
60866162 
6845  6920 
7603  7679 


8362 
9120 


9803  9878 
0637 
1395 


2077 
2835 
3592 
435o 
5i07 

578915864 
6546  662 1 


73o3 
8060 
8816 


7378 


8438 

9196 
9954 
0712 

1470 


2153I2228 
2986 
3744 


2910 
3668 
4425 
5i83 


45oi 
5258 


594016016 
6697  6773 


8i35  82ii 
8892I8968 


753o 
8287 
9043 


01234        56789 


DiflT.tMult. 


I 

I  77 

2  1  i54 

3 

23l 

4 

3o8 

5 

385 

6 

462 

7 

539 

8 

616 

9 

693 

76 


I 

76 

3 

iSa 

3 

aa8 

4 

3o4 

5 

38o 

6 

456 

7 

532 

8 

608 

9 

684 

DiflT.      DiflT.  &  Malt 


■■■ 


LOGARITHMS     OF     NUMBERS. 


83 


Num. 

5740 

4i 
42 
43 
44 

45 
46 

47 
48 

49 

57  5o 
5i 
5a 
53 
54 

55 
56 

57 
58 
59 

5760 
61 
6a 
63 
64 

65 
66 

67 

68 

69 

5770 

71 
72 

73 

74 

75 
76 

77 
78 

79 

5780 
81 
82 
83 
84 

85 
86 
87 
88 

89 

5790 

91 
9a 

93 
94 

96 

98 

99 

Num. 


0      12      3     4 


5     6     7     8      9 


DiflT.       Diff.  ic  Mult. 


758  91 19 

#  9875 
7590632 

1 388 
2144 

2900 
3656 
44i2 
5i68 
5923 

6678 

7434 
8189 

8944 

#  9699 
760  0453 

1208 
1962 
2717 

3471 

4225 

497' 
573 
6486 
7240 

T^l 

8746 

*  9500 
761 0253 

ioo5 

1758 

25ll 

3263 
4oi6 
4768 

5520 
6272 
7024 
7775 
8527 

9278 

762  oo3o 
0781 
1 532 

2283 

3o34 
3784 
.  4535 
5285 
6o35 

6786 
7536 
8286 
9035 

#  9785 

763  o534 
1284 
2o33 
2782 
353i 


9195 
9951 
0708 

1 464 
2220 

2976 

3732 

44V>^ 
5243 
5999 

6754 
7509 
8264 
9019 

9774 

0529 
1283 
2o38 
2792 

3546 

43oo 
5o54 
58o8 
6562 
73i5 


9270 
♦027 
0783 
1539 
2296 

3o52 
3807 
4563 
5319 
6074 

683o 

7585 
«34o 
9095 
9830 

0604 

135^ 

211 

2867 

3622 

4376 

5t3o 
5883 
6637 
7390 


80688144 


8822 
9575 
0328 
1081 

i833 
2586 
3338 
4091 
4843 

5595 

6347 
7099 
785 1 
8602 


88c 
9650 
o4o3 
ii56 

1009 
2661 

34r4 
4i66 


5670 
6422 
7174 
7926 
8677 

9354  9429 
oio5oi8o 
o856oq3i 


9346 
0102 
o859 
i6i5 
2371 

3r27 

3883 
4639 
5394 
61 5o 

6905 

7060 
84i5 
9170 
9925 

0680 

1434 
2189 
2943 
3697 

445 1 
52o5 
5959 
6712 

7466 

8219 

8972 
9725 
0478 

I23l 

1984 
2737 
3489 
4241 


4918  4993 


1607 
2358 


168 
2433 


3109  3i84 
38593934 
4610,4685 
536015435 
6rii;6i86 

68616986 
7611I7686 
836i|8435 
9110I9I85 
98609935 

06090684 
1359  1434 
2io8,2i83 
2857  2939 
36o6  368i 


5745 
6497 
7249 
8001 
8752 

95o4 
0255 
1006 
1757 
25o8 

3259 

4009 
4760 
55io 
6261 

7011 
7761 
85io 
9260 
♦010 

0759 
1 509 

2258 

3oo7 
3756 


9422 
0178 
0934 
1691 

2447 

32o3 
3959 

4714 
5470 
6225 

6981 
7736 

8491 
9246 
♦000 

0755 
i5io 
2264 
3oi8 

3772 

4526 
5280 
6o34 

6788 
7541 

8294 
9048 
9801 
o554 
1 307 

2059 
2812 
3564 
43x6 
5069 

5821 
6573 
7324 
8076 
8828 

o33o 
1081 
1 83a 
2583 

3334 

4o85 
4835 
5585 
6336 

7086 
7836 
8585 
9335 
oo85 

o834 
1 583 
2333 
3082 
383 1 


9497 
0254 

lOIO 

1766 

2522 
3278 

4o34 
4790 
5545 
63oi 

7o56 
7811 
8566 
9821 
0076 

o83i 

1 585 
2339 
3094 
3848 

4602 
5356 
6109 
6863 
7616 

8870 
9123 
9876 
0629 
1 382 

21 34 
2887 
3639 
4392 
5i44 


5896 
6648 
74oo 
8i5i 
8903 


o4o5 
ii56 
1907 
2658 


3409 
4i6o 
4910 
566o 
64ii 

7161 

79" 
8660 

9410 

0160 

0909 
i658 
2408 
3i57 
3906 


9573 
0829 
1086 
1842 
2598 

3354 
4iio 
4865 
5621 
6876 

7182 
7887 
8642 
9897 
oi5i 

0906 

1661 

24i5 

816 

392 

4677 
543 1 
6i85 
6988 
7092 

8445 
91^8 
993 1 
0704 
1457 

2210 
2962 
8715 

4467 
5219 


5971 
6728 

7475 
8226 
8978 

9654I9729 
o48o 
1282 
1982 
2788 


8484 
4285 
4985 
5735 
6486 

7286 
7986 
8785 
9485 


0235  o3 


0984 
1788 
2482 
8232 
3980 


9649 
o4o5 
1161 
1917 
2674 

3429 

4i85 

4941 
5696 
6452 

7207 
7962 
8717 
9472 
0227 

0981 
1786 
2490 
8245 
8999 

4753 
55o6 
6260 

7014 

7767 

8520 
9274 
♦027 
0780 
1 532 

2285 
8087 
8790 
4542 
5294 


6046 
6798 
755o 
8801 
9053 

9804 
o556 
1807 
2o58 
2808 

3559 
43io 
5o6o 
58io 
656i 

7811 
8061 
8810 
9560 


no 

1059 
1808 

2557 
33o6 
4o55 


9724 
o48i 
1287 
1998 
2749 

35o5 
4261 
5oi6 

5772 
6527 

7288 
8o38 
8798 
9548 
o3o2 

io57 
1811 
2566 
8820 

4074 

4828 
5582 
6335 
7089 
7842 

8596 
9849 
0102 
o855 
1608 

2860 
3ri8 
8865 
4617 
5869 

6121 
6878 
7625 

8377 
9128 

9879 
0681 
1882 
ai33 
2883 

4385 
5i35 
5885 
6636 

7886 
8186 
8885 
9685 
o385 

ii34 
i883 
2682 
388 1 
4i3o 


9800 
o556 
i3i8 
2069 
2825 

858 1 
4336 
5092 

5848 
66o3 

7858 
8118 
8868 
9628 
0378 

1182 
1887 
2641 
8895 
4149 

4908 
5657 
64ii 
7164 
7918 

8671 
9424 
0177 
0980 
1688 

2435 
3i88 
8940 
4698 
5445 

6197 
6948 
7700 
8452 
9208 

9955 
0706 
1457 
2208 
2959 

8709 
4460 

52IO 

5960 
6711 

746 1 
8211 
8960 
9710 
0459 

1209 
1958 
2707 
3456 
42o5 


0      12      3     4 


5      6      7      8      9 


DiflT. 


1 

2 
3 

4 
5 
6 

7 
8 


76 
iSa 
228 
3o4 
38o 
456 
532 
608 
684 


I 

75 

2 

i5o 

3 

225 

4 

3oo 

5 

875 

6 

45o 

7 

525 

8 

600 

9 

675 

I 

74 

a 

i48 

3 

222 

4 

396 

5 

870 

6 

4U 

7 

5i8 

8 

592 

Q 

666 

s 

ft 


Diif.  k.  Malt. 


I 


84 


LOGAEITHMS  OF  NUMBERS. 


Mum. 

WOO 

oi 

oa 

o5 
06 


0      12      3     4 


©7 


09 

58  10 
II 

12 

14 

1 5 

16 

17 
18 
19 

58  20 

a  I 

33 

25 

26 


103  4280 
5029^ 

5777 
6526 
7274 

8022 

8770 

•  9518 

7640266 

ioi4 

1761 
25«9 
3256 
4oo3 

475o 


5497 
6244 
6991 
7737 
8484 


4355 
5io4 
5852 
6601 
7349 

8097 

8845 
9593 
o34i 
1089 

1 836 
2583 
333 1 
4078 
482S 


4430j45o5 
5178.5253 

59276002 
6675,6750 
7424  7499 


817a 


8920  8995 


5572 
63i9 

7065 
7812 
8558 


9668 
o4i6 
ii63 

191 1 

2658 
3406 
4i53 


8247 


9743 
0490 
ia38 

1986 

2733 
3480 

4227 


♦  9976 

765  0722 

1468 

2214 


49004974 

564? 
6393 
7140 
7886 
8633 


5721 
6468 
7215 
7961 

8707 


9230  93o4  9379  9454 


♦o5i 
0797 
1542 
2288 


2959  3o34 

3705  3779 


012:50200 

'0871 
i6r7 
2363 

3io8  3r83 

38543928 


4579 
5328 

6077 

68a5 

7573 

8321 

9070 
9817 
o565 
i3i3 

2060 
2808 
3555 
43o2 
5o49 

5796 
6543 

728? 
8o36 

8782 

95a8 
0^74 
loao 
1766 

25l2 


45 

46 

47 
48 
49 

58  5o 
5i 

"Jf'i"* 

53 
54 

55 
56 
57 
58 

59  I 


7845 
8588 
o33i 

7672074 
0816 

1559 

23oi 
3o43 
3785 
4527 

5269 
6011 

6752 
7494 
8235 


0706 
i45o 
aio5 
29J8 
3682 

4426 
5 169 
5913 
6(>56 
7399 

7994|8o68l8i42 
8737  881 1  8885 
947995549628 
0222102960371 
iii3 


7919 
8662 

94o5 

oi48 

089010965  10^9 


1 633  1707 
2375  2449 
3117319a 


3859 
4601 


3934 

4676 


1781 
25a4 
3266 
4oo8 

475o 

5492 


5343  5417 
6o85|6i596233 
682616901  6975 
7568I7642I77F6 
83o9  8383  8457 


i856 
2598 
334o 
4o8a 
4824 

5566 
63o7 

7049 
7790 
853i 


5  6  7  8   9 


4654,4729:480448794954 
5628  5702 


540315478 


61 5i  62266301 


69006975 


7648 

8396 

9*44 

9592 
o64o 

1 388 

2i35 

a882 


77a3 


8471 
9219 
9967 

0715 
1462 

2210 
2957 


5553 


7o5o 
7798 


363o37o4 
43774451 
51245198 


5871 
6617 
7364 
8110 
8857 


5945 
6692 
7439 
8i85 
8931 


96039678 
0349  0424 


1095 
i84i 
2586 


1 1 70 
1915 
a66i 


8546 
9294 
♦042 
0789 
1 537 

2285 

3o32 
3779 
4526 
5273 

6020 

6767 
75i3 
8260 
9006 

9752 

0498 
1244 


6376 
7124 
7873 

8621 


645i 
7199 

7947 

8696 


93699443 
01 17 

0864 
1612 

2359 
3i07 
3854 
4601 
5348 

60956169 
6841  6916 
7588  7663 
8334  8409 
9081  9155 


9827 
0573 
. . i3i9 
1990  2o65 
27362810 


9901 

0647 
1393 
2139 
2885 


I 
2072 

34i4 
4i56 
4898 

564o 
638i 
7ia3 
7864 
8606 


2004 
2746 
3488 
423o 
4972 

5714 
6456 

71Q7I7271 
79J8  8or3 
86808754 


5862 
6604 
7345 
8087, 
8828  ( 


Diir. 


ViC  ac  Mult. 


0      12      3     4 


I 

75 

2 

i5o 

3 

225 

4 

3oo 

5 

375 

6 

45o 

7 

525 

8 

600 

9 

675 

I 

74 

2 

i48 

3 

222 

4 

296 

5 

370 

6 

Ui 

7 

5i8 

8 

592 

9 

666 

Diff.  k.  Malt 


LOGAEITHMS    OF    NUMBERS 


8d 


Num. 

5860 
61 
62 
63 
64 

65 

66 

67 
68 
69 

5870 

71 

72 

73 
74 

75 
76 
77 
78 
79 

58  80 
81 
82 
83 
84 

85 
86 

87 
88 

89 

5890 
91 

93 

94 

96 

97 

98 

99 

59.00 
01 
02 
o3 
o4 

o5 
06 
07 
08 

09 

59  10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

19 

Num. 


0      12     3     4 


5     6      7      8 


767  8976 

•  9717 
7680458 

1199 
1940 

2680 
3421 
4r6i 
4901 
5641 

638 1 
7121 
7860 
8600 

•  9339 

7690079 
0810 
1 557 
2296 
3o35 

3773 
45i2 
SjSo 
5988 

6727 

7465 
8203 
8940 

•  9678 
7700416 

ii53 

1890 
2627 
3364 
4101 

4838 
5575 
63ii 
7048 
7784 

8520 
9266 

•  9992 

771  0728 

i463 

»io9 

2934 
3670 
44o5 
5i4o 

5875 
6610 

7344 
8070 
88i3 

•  9547 

772  0282 

1016 

1750 
2483 


2754 
3495 
4235 

4975 
5715 


6529 
269 
008 


5i72i 
8> 


oi53 
0892 
i63f 
2370 
3 108 

3847 
4586 
5324 
6062 
6800 


1227 

1964 
2701 
3438 

4175 

4912 
5648 
6385 
7121 
7858 


2828 
3569 
4309 
5o49 
5789 


8748 
9487 

0227 
0966 

1705 

2444 
3182 

3921 
4659 
5398 
61 36 

6874 

7612 
835o 
9088 
9826 
o563 


2902 
3643 
4383 
5i23 
5863 


o3oo 
io4o 
1779 
25i7 
3256 


9273 
♦oi4 
0754 

2236 

2976 

3717 

4457 

5 107 
5937 

6677 

7417 
8i56 
8896 
9635 

o374 
iir4 
i852 
2591 
333o 

4069 
4807 
5546 
6284 
7022 


2273 
3oo8 
3743 
4478 
52i3 

5948 
6683 
74i8 
8i52 
8887 

9621 
o355 
1089 
1823 
2557 


7686 
8424 
9163 
9899 
0637 

1 374 
2111 
2849 
3585 
4322 

5o59 
5796 
6532 
7269 
8oo5 

8741 

9477 

02l3 

0949 
1684 

2420 
3i55 
3890 
4625 
536o 


602216095 

67576830 


8667 
94o3 
0139 
0875 
161 1 


7491 
8226 
8960 


7565 
8299 
9034 


9694  9768 
"  o5o2 
1236 
1970 
2704 


88i5 
9551 
0286 
1022 

1758 

2493 
3229 
3964 
4699 
5434 

6169 
6903 
7638 
8373 
9107 

9841 
0575 
i3o9 
2043 

2777 


9347 
0088 
0829 
1569 

23lO 

3o5o 
3791 
453 1 
5271 
6011 


o448 
1 187 
1926 
2665 
34o4 


7834 
8571 
9309 
♦047 
0784 

l522 

2259 

4470 
5206 

5943 
6679 
7416 
8i52 

8888 
9624 
o36o 
1096 
i83i 


94?5 
02  36 


3 1 24 
3865 
46o5 
5345 
6o85 


3198 
3939 

4679 
5419 
6159 


1 791 

2532 

3273 
4oi3 
4753 

5493 
6233 


6825  6809 


7565 
83o4 
9044 
9783 

0522 
1261 
2000 
2739 
3478 


7639 
8378 
91 1« 
9857 

0596 

335 
2074 
28i3 
3552 

4290 
5029 
5767 
65o5 
7243 


7907 
8645 
9383 
0121 
o858 

1595 
2333 
3070 
3807 
4543 

5280 
6017 
6753 
7489 
8226 


6242 

6977 

7712 

8446 
9180 

9915 
0649 
i383 
2117 
285o 


2640 
3376 
4iii 
4846 
558 1 

63t6 
7o5o 
7785 
85i9 


1669 
2406 
3 143 

388o 

4617 

5354 
6090 
6827 
7563 


3347 
4087 
4827 
5567 
63o7 

7047 
7787 
8526 
9265 
♦oo5 


4364 
5io3 
584 1 
6579 

7317 

8o55 
8793 
953o 
0268 
ioo5 


5427 
6164 
6900 

7637 
8299  8373 


1817 

2554 
3291 
4028 
4764 


925493 


9035 
9771 
o5o7 
1243 
1978 

2714 
3449 
4i84 

4919 
5654 

6389 

7124 
7858 
8593 

'27 


9109 
9845 
o58i 
i3i6 

2o52 


6463 
7197 
7932 
8666 
9401 


2861 
3596 
433i 
5o66 
58oi 

6536 
7271 
8oo5 
8740 
9474 

0208 
0942 
1676 
2410 
3i44 


Di<f.       DiC  &  Mult. 


74 


0      12      3      4 


7     8      9 


Diff. 


I 


Diff.  &  Malt. 


tp^ 


■ 


86 


LOGARITHMS  OF  NUMBERS. 


'€fc™  vkHIMwi 


0      1 


SfKIO  ITT3  32I7 
ai  I  3951 
23  4684 

a3 


34 


5417  5491 
61 506224 


3290 
4634 

4757 


6884 
7616 

S349' 

9082 

•  9815 

'773  o547 
1279 
201 1 
2743 

3475 

4.207 
4939 

5670 
6402 

7 1 33 

7864 
8596 
9326 

774  0057 
0788 


6957 

7690 
8423 
9155 


3364/3437 


'63706444 


84968569 


i352 
208  5 
3817 
3549 

4a8o 
5oi2 

5744 

6475 
7206 


9228 


98889961 
06200693 


i5i9 

3249 
2979 

3710 
4440 


7359 
8088 

8818 

•  9547 

■775  0276 

ioo5 

1.734 


1426 
2i58 
2890 

«JO<a2 
4334 

5o85 
58 1 7 
6548 
7280 

801 1 
874a 
9473 

0203 

0934 


1592 

2322 

3o52 
3783 
45i3 

5243 
6629  6702 


9302 
♦o34 

0767 
i4q9 

223l 
2^3 
3695 

4427 

5 1 58 
5890 

60a  I 

7353 

oOo^ 

881 5 


a463 
3191 
3930 
4648^,- 
5376  544 


7432 
8i6i 


665 
2395 
3i25 
3856 
4586 

53i6 
6045 
6775 
75o5 
8234 

8064 
9^3 

0422 
ii5i 
1880 


74a6 


81 57 
8888 


95469619 


0277 
1007 


1738 

2468 

3198 

^?29 
-^59 

5389 
6118 

6848 
7578 
83o7 

90369109 
9766  9B39 


o35o 
1080 


0495 
1224 
1952 

2681 
34io 
4i38 


90899161 

9816 
0543 

1271 
1998 

2735 


a6o8 
3337 

4o65  .  . 
47944867 

'^'^  5595 

6323 
705 1 

7779 
85o6 


3379  3452 
41064179 
4833|49o5 
5559,563a 
6a86'6358 


9234  9307 
♦034 


996a 
0089 
i4i6 
a  143 
3870 

3597 

4324 
5o5i 
5777 
65o3 


[297 
2025 

2754 
3483 
4aii 
4939 
5668 

6396 
7124 

785 1 
8579 


0762 
1489 
2216 
2943 


0   12   3  4 


6  7  8  9 


3584  3657 


0913 
1645 
2377 
3109 
384i 

4573 
53o5 
6o36 
6768 
7499 

8a3o 


3731 

5i07 
5931 

6664 


0986 
1719 
245i 
3i83 
3915 


1060 
1792 
2534 
3256 
3988 


38o4 
4537 
5271 
6004 
6737 


3877 
461 1 

5344 
6077 
6810 

7543 
8276 
9009 
9741 
0474 

1206 
io38 
ao7o 

3403 
4i34 


1884 
a6i4 
3345 
4075 
48o5 

5535 
6264 
6994 

7724 
8453 


1957 
2687 
3418 
4i48 
4878 

56o8 
6337 

7067 

7797 
85a6 

9a55 
9984 

0713 
1442 
2171 


6469 
7190 

70247997 
8652  8725 


1 1 33 
1 865 
2597 
3329 
4o6i 

4793  4866 
5524" 
6256 
6987 

7718 

8449 
9180 
9911 
0642 
1372 

2io3 
2833 
3564 
4394 
5o24 

5754 
6483 
72i3 
7942 
8673 


9338 

♦o57 
0786 
i5i5 


9401 
01 3o 


0859  09^2 
i588i66i 


9380  9452  9525  9598 


0107 
o834 
1 562 
3380 
3oio 


a3i7  2390 

aooo  3973  3o46  3i  18 
3638  3701  3774  3847 
4357  443o  45oa  4575 
5o85  5i58  523i53o4 
58i3  5886  59596032 

654i  661466876760 

726973427415 
8070  8143 
8798  8870 


0180 
0907 
1634 
3  36 1 
3o88 

3743|38i5 
44694542 
5i 


9^74 

0303 


oa53 
0980 

1707 

2434 
3i6i 

3888 
46i5 


o335 
io53 

1780 
a5o7 
3334 

3Q6r 
4687 

54i4 


52695341 

5922  5995  6o68|6i4o 

60496721I6794I6867 


7488 
8215 
8043 
9671 

0398 
1 1 25 
i852 
2579 
33o6 


Diff.       Diff.  k.  Malt 


I 

74 

a 

i48 

3 

233 

4 

296 

5 

370 

6 

444 

7 

5i8 

8 

593 

9 

666 

73 


I 

73 

3 

i46 

3 

319 

4 

29a 

5 

365 

6 

438 

7 

5ii 

8 

584 

9 

657 

Piir.     Diir.jcMuit 


LOGARITHMS     OF     NUMBERS. 


87 


Num. 

5980 

81 
82 
83 
84 

85 
86 

87 
88 
89 

599CJ 

9» 

9^ 
93 

94 

95 
96 

9Z 
98 

99 

6000 

01 

02 

o3 

04 

o5 
06 
07 
08 
09 

60  10 
II 

13 

i3 
i4 

i5 
16 
17 
18 
19 

60  20 

31 
23 
33 

24 

35 

36 

37 

38 
29 

60  3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 
Num. 


01234         56789 


T76  7012 

7738 

8464 

9190 

•   9916 

777  0642 
1 367 
2093 
2818 
3543 


4268 
4993 
5718 
6443 
7167 

7892 
8616 
9340 
7780065 
0789 

i5i3 

2236 

2960 
3683 
4407 

5i3o 
5853 
6576 
7299 
8022 

8745 

#  9467 
7790190 

0912 
i634 

2356 
3078 
38oo 
4522 
5243 

5965 
6686 
74o8 
8129 
885o 

*  9571 
780  0291 

1012 

1732 

2453 

3173 
3893 
461 3 
5333 
6o53 

6773 
7492 
8212 


7084, 
781 1 
8537 
9263 
9988 

0714 
1 440 
2i65 
2890 
36i6 

434r 
5o66 
5791 
65i5 
7240 


7157 
7883 
8609 
9335 
♦061 

0787 

l5l2 
2238 

2963 

3688 

44i3 
5i38 
5863 
6588 
73i2 


7964  8087 


723o 
7956 
8682 
9408 
01 34 

0859 
1 585 

23lO 

3o35 
3761 

4486 
Sail 
5935 
6660 
7385 


S680 
941J 
oi37 
0861 

1 585 
2309 
3o32 
3756 
4479 

5202 
5926 
6649 

7372 
8094 

8817 
9540 
0262 
0984 
1706 

2429 
3i5o 
3872 
4594 
53i6 

6037 
6758 
7480 
8201 
8922 

9643 
o363 
1084 
i8o4 

2525 

3245 
3965 
4685 
54o5 
6125 

6845 
7564 
8284 


8o3 1 19003 
9650  9722 


8761 
9485 
0209 
0933 

1657 
238 1 
3io5 
3828 
4552 

5275 
5998 
6721 

7444 
8167 

8889 
9612 
o334 
io56 

1779 
25oi 

3223 

3944 

4666 
5388 

6109 
683 1 
7552 
8273 
8994 

9715 
0435 
1x56 
1877 
2597 

33i7 
4o37 

4757 
5477 
6197 

6917 
7636 
8356 
9075 


73o2 
8028 

8754 
9480 
0206 

0932 
1 657 
2383 
3io8 
3833 

4558 
5283 
6008 
6733 

7457 


8109  8182 


8834 
9558 
0282 
1006 

1730 
2453 

3177 
3900 
4624 

5347 
6070 
6793 
75i6 
8239 

8962 
9684 
o4o6 
II 29 
i85i 

2573 
3295 
4oi7 

4738 
5460 

6181 
6903 
7624 
8345 
9066 

9787 
o5o7 
1228 
1949 
2669 

3389 
4109 
4829 

5549 
6269 

6989 

7708 
8428 


8906 
9630 

o354 
1078 

1802 
2526 
3249 
3973 
4696 

54 1 

6i4 

6866 

7588 

83ii 

9034 
9756 

0479 
1 201 

1923 

2645 
3367 
4089 
4810 
5532 

6253 
6975 
7696 

84i7 
9i38 

9859 
o58o 
i3oo 
2021 
2741 

3461 
4i8i 
4901 
5621 
634i 

7061 

7780 
85oo 


91479219 
97941 9866  9938 


7375,7448 
8101,8174 
8827I8900 
9553J9626 
02790351 


ioo4 
1730 
2455 
3i8i 
3906 

463 1 
5356 
6080 
68o5 


1077 
1802 
2528 
3253 
3978 


6878 
753o  7602 


8254 
8978 
97o3 
0427 
ii5i 

1874 
2598 

3322 

4o45 
4768 

549'^ 
6215 
6938 

7661 
8383 

9106 
9829 
o55i 
1273 
1995 

2717 
3439 
4161 
4883 
56o4 

6326 

7047 
7768 
8489 
9210 

9931 
o652 
1372 
2093 
2813 

3533 
4253 
4973 
5693 
64i3 

7i33 
7852 

8571 
9291 


7520  7593 
82468319 
8972J9045 
96989771 
0424,0496 

Il49'l222 

1875  1947 
2073 
3398 

4 1 23 

4848 
5573 
6298 
7022 

7747 


2600 
3326 
4o5i 


470314776 
5428|55oi 
6i53  6225 


8327 
905 1 

9775 
0499 

1223 

1947 
2670 

3394 

4II7 

484 1 

5564 
6287 
7010 

7733 
8456 

9178 
9901 
0623 
i345 
2067 

2790 
35ii 
4233 
4955 
5676 

6398 
7119 
7840 
856i 
9282 

♦oo3 
0724 
1444 
2165 
2885 

36o5 
4325 
5o45 
5765 
6485 

7204 

7924 
8643 
9363 


6950 

7675 

83998471 
9196 
9920 

o644 
1 368 


9123 

9847 
0571 
1295 

2019 
274S 
3466 
4190 
4913 

5636 
6359 
7082 
7805 
8528 


2092 
2815 
3539 
4263 
4985 

5709 
6432 
7i55 

7877 
8600 


9251  9323 


9973 
0695 
r4r8 
2i4o 


♦045 

0768 
1490 

2212 


2862  2934 

3584j3656 
43o54377 
5027  5099 


5748 

6470 
7191 
7912 


5821 


7665 
839  r 
9117 
9843 
0569 

1295 

2020 

2745 

3471 
4196 

4921 
5646 
6370 
7095 
7819 

8544 
9268 
9992 
0716 
1 440 

2164 
2888 
36x1 
4335 
5o58 

5781 
65o4 
7227 
7950 
8672 

9395 
0T17 
o84o 
1 562 
2284 

3oo6 
3728 
445o 
5x71 
5893 


6542 
7263 

7984 
8633.8705 
93549426 

007510147 
07960868 


i5i6 
2237 
2957 

3677 
4397 
51x7 

5837 
6557 


1 588 
2309 
3029 

3749 
4469 
5189 
5909 
6629 


66x4 
7335 
8o57 

8778 

9498 

0219 
0940 
1660 
238i 
3ioi 

3821 

4541 
5261 
598  X 
6701 


♦0100082 


727617348  7420 
7996  8068  81 40 
871587878859 
9435  95069578 
015402260297 


0      12      3     4 


5      6     7      8     9 


Diff. 


Diff.  k.  Malt. 


I 
2 
3 

4 
5 
6 

7 
8 


72 


Diff. 


73 

1 46 
2x9 
292 
365 
438 
5ii 
584 
657 


I 

72 

3 

i44 

3 

ai6 

4 

288 

5 

36o 

6 

432 

7 

5o4 

8 

576 

9 

648 

I 

71 

2 

142 

3 

2l3 

4 

284 

5 

355 

6 

426 

7 

497 

8 

568 

9 

639 

Diff.  &  Mult. 


i 


I 


■ » 


A 


I 


88 


Nim. 
0040 

43 

45 
45 

47 
48 
49 

6o5o 
5 1 

5a 

5? 
58 
59 

'60 'fo 
61 
6a 
63 
64 

65 
66 
67 
68 
69 

6070 

71 

.  7'^ 
73 
74 

75 
76' 
77 
78 

79 

6080 

81 

8a 
83 
84 

85 
86 

87 
88 
89 

6090 
91 

9a 

oi 

95 
96 

97 
98 

99 


LOGARITHMS    OF     NUMBESS. 


0      12      3     4 


5     6      7     8     9 


IBl  03691044 1  jo5i  3 

1088  1160  1232 

1807  1870  iq5i 


2526 
3245 

3963 

4681 
54<x) 
6118 
6836 

7554 

8272 


89899061 

9778 
0496 


•  9707 
78a  0424 

ii4i 

1859 
3576 
3298 
4oio 

4726 
5443 
6159 
6876 
7592 

83o8 


2598 
33 1 6 

4o35 
4753 
5472 
6190 


90249096 
9812 

o527 

1243 


•  9740 
783  o456 
1 171 

1887 
2602 
33i8 
4o33 
4748 


I2l3 

1930 

2647 

ij«j04 
4o8i 

4798 
55i4 
623 1 


2670 
3388 

4107 
4825 
5543 
6261 


6908  6979I705 

7626 
8343 


o585  0657 
i3o4  1376 
2oa3  2095 
2742  2813 


07290801 


3460 

4179 

4897 

56i5 
6333 


76977769 
84i58487 

9133 

9850 
o568 


9204 

0639 
1285  1 357 


838o845 


5463 
6178 
6892 

7607 
83a  1 

9o36 

•  975o 

784  o464 

1 178 

1892 


a6o6 

33i 

4o3 


2677 
3391 
4io4 
47464818 
553 1 


>3 


5460 

6173 
6886 

7599 
83i2 
9024 


•  97379808 

785  o45o  oSa  I 

1 162  1233 

1874  1945 

2586  2658 


1958 

2674 
3389 

4io4 
4819 

5534 
6249 
6964 
7678 
8393 

9107 
9821 
c>536 
laSc) 
1963 


2002 
2719 
3431 
41 53 

4870 
5586 
63o3 
7019 

7735 


6244 
6957 

7"70 
8383 


9883 
0599 
i3i4 

2o3o 

3745 
3461 

4176 
4891 

56o6 
6321 
7o35 
77  5o 
8464 

9179 
9893 

0607 

l32I 


2074 
2791 
35o8 
4225 


4941 

5658 

6374 
7091 

7807 

8523 
923 

0670 

1 386 

2102 
2817 
3532 

4247 
4962 

5677 
639a 

7107 

7821 

8536 


353a 
425o 

V, 

64o5 
7123 

7841 
8550 
9276 

9994 

0711 

1428 
2i46 
2863 
3579 
4290 

5oi3 

5729 
6446 
7162 
7878 

8594 
93io 
♦026 
0742 
i458 

2173 
2888 
36o4 
4319 

3034 

5749 

6464 
7178 
7893 
8607 


925093 


20. 


..  1392 

35  a  1 06 


a749  a8ao 

'■3534 

4247 
4960 

5674 


3462 

4176 
4889 
56o2 


63i6 
7029 

7742 
8454 
90969167 


9880 
0592 
i3o4 
2or7 
2729 


6387 
7100 
781 3 

8526 
9238 

995 1 

()663 
1376 
2088 
2800 


22 
♦o36 
0750 
i464 
2178 

2891 

36o5 
43i8 
5o32 
5745 

6458 

7171 
7884 
8597 
93io 

♦022 
0735 
1447 
2159 
2871 


1 448 
2167 
2885 
36o4 

4322 

5o4i 


5759  583 


6477 
7195 

701 3 

863o 
9348 
♦o65 
0783 

i5oo 
2217 
2934 
365 1 
4368 

5o85 
58oi 
65i8 

7234 
7950 

8666 
938a 
0098 

0814 
1529 


1 520 

2238 

2957 

3676 

4394 

5lI2 


2245  23 1 6 


2960 
3075 
4390 
5io5 


6549 
7267 

7984 
8702 
9420 
01 37 
o855 

1572 
2289 
3oo6 
3723 
444o 

5i56 
5873 
6580 
73o5 
8022 

8738 


087310045 
1592 

23lO 

3029 

3748 

44664538 


0169 
o885 
1601 


5f84 
5902 
6620 
7338 

8o56 

8774 

949' 
0209 

0926 

1644 
236i 

3078 

3794 
45ii 

5228 
5q44 
6661 

7377 
8093 


663 

2382 

3ioi 
3819 


5a56 
5074 
6692 
74 10 

8128 
8846 
9563 
0281 
0998 

1715 
2432 
3(49 
3866 
4583 

53oo 
6016 
6732 

7449 
8i65 


88098881 
9454  9525  9597 


5820 
6535 
7260 

7964 
86798750 


3o3a 

3747 
4462 

5 1 77 


5892 
6606 
73a  I 

8o36 


9393 
0107 
0821 
1 535 
a  249 

2963 
3676 
4390 
5io3 
58i6 


7a42 
7955 
8668 
9381 

0093 
0806 

i5i8 

2230 
2942 


9464  9536 

0171 
089 
1607 

2320  2392 


3o34 
3748 
446i 

5i74 
5888 

5529660 


I 

73i4 
8027 
8739 
9452 

01 65 

0877 
1589 

23of 

3oi4 


0241 
0057 
1072 

2388 
3io3 
38i8 

4533 
5248 

5963 
6678 
7393 

8107 
88a  I 


o3i3 
1028 
1744 

2459 
3175 
3890 
46o5 
5320 

6o35 


1016 
1735 

3454 
3173 
3891 

4610 
5328 
6046 

6764 
748a 

8200 
8017 
9635 
o35a 
1070 

1787 
2  5o4 

3221 

3938 

4655 

5371 
6088 
6804 
7520 
8236 

8952 
9668 
o384 

IIOO 

i8i5 

253i 
3246 
3o6i 
4676 
5391 

6106 


67496821 


O25o 
4 

1078 


3ro5 
3819 
4532 
5246 


7464 
8179 
8893 

9607 
o32i 
io35 
1749 
2463 


3i77 
3890 

46o4 
53i7 

5959I6030 


6672 
7385 
8098 
88ri 
9523 

02  36 
0948 
ifi6i 
2373 
3o85*3i56 


69824 


6743 

7456 

81 

8882 

9595 

o3o7 
1019 
1732 
2444 


7536 
8250 
8964 


1107 

i8ai 
2534 

3248 

^5 
5388 
61  oa 

68i5 

7528 

8953 
9666 

0378 
1091 
i8o3 
25 1 5 

3227 


01234         56789 


Dim 


Die 


Bar.  St.  Mult. 


I 

72 

a 

i44 

3 

216 

4 

288 

5 

36o 

6 

432 

7 

5o4 

8 

576 

9 

648 

I 

71 

2 

142 

3 

ai3 

4 

a84 

5 

355 

6 

426 

7 

497 

8 

568 

9 

639 

DifT.  &  Mult 


Num. 

6100 

01 
02 
o3 
o4 

o5 
06 
07 
08 
09 

61  10 
II 

12 

i3 
i4 

i5 
16 

17 
18 

19 

6t  20 
21 
22 

23 

a4 

a5 
a6 

27 
28 
29 

61  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

61  4o 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

61  5o 
5i 

52 

53 
54 

55 
56 

57 
58 

59 

Num. 


LOGAEITHMS     OF     NUMBERS. 


89 


01234         56789 


785  3298 
4oio 
4722 
5434 
6145 

6857 
7568 
8279 
8990 

#  9701 

7860412 

1 1  23 

i833 
2544 
3254 

3965 
4675 
5385 
6095 
68o5 

75i4 
8224 
8933 

#  9643 

787  o352 

1061 

1770 

2479 
3i88 
3896 

46o5 
53i3 
6021 
6730 
7438 

8i46 
8854 

#  9561 

788  0269 
0976 

1684 
2391 
3098 
38o5 
45i2 

5219 
5926 
6632 
7339 
8045 

8751 

• 

7896163 
0869 
1575 

2281 
3986 
3692 
4397 

5l02 


3370  3441 
4o8i  4i53 
4793  4864 
55o5  5576 
6216 


6928 
7639 
835o 
9061 
9772 

o483 
1194 
1905 
201 5 
3325 

4o36 
4746 
5456 
6166 
6876 

7585 
8295 
9004 


6288 

6999 

7710 
8421 

Ol32 

9843 

o554 
1265 
1976 
2686 
3396 

4107 

4817 
5527 

6237 
6946 

7656 

8366 

9075 

97149784 

0423  0494 


Il32 

i84i 
255o 
3258 
3967 

4676 
5384 
6092 
6800 
7509 

8216 
8924 
9632 
o34o 
1047 

1754 
2462 

3169 

3876 
4583 

5290 

5996 

6703 

740 

81K 

8822 
9457  9528 
0234 
0940 
1645 

235i 

3o57 
3762 

4467 
5173 


I2o3 

I9I2 
2621 

3329 

4o38 

4746 
5455 
6i63 
6871 
7579 

8287 
8995 
9703 
o4io 
1118 

1825 

2532 

3240 

3947 

4653 

536o 
6067 
6773 
7480 
8186 

8892 
9598 
o3o4 

lOIO 

1716 

2422 
3i27 
3833 
4538 
5243 


35i2 
4224 
4936 

5647 
6359 

7070 
7781 
8493 
9204 
9915 

0625 
1 336 

2o47 

2757 
3467 

4178 

4888 
5598 
63o8 

7017 

7727 
8437 
9146 
9855 
o565 

1274 
1983 
2691 
3400 
4109 

4817 
5526 
6234 
6942 
7o5o 

8358 
9066 

9774 
o48i 
1 189 

1896 
2603 
33io 

4017 
4724 

543 1 
6i38 

6844 
755i 
8257 

8963 
9669 
0375 
1081 
1787 

2492 
3198 
3903 
4608 
53i4 


3583 
4295 
5007 
5718 
643o 

7i4i 
7852 
8564 
9275 
9986 

0696 
1407 
2118 
2828 
3538 

4249 
4959 
5669 
6379 
7088 

7798 
85o8 
9217 
9926 
o635 

1 345 
2o53 
2762 

3471 
4i8o 

4888 
5596 
63o5 
70i3 

7721 

8429 
9137 

9844 
o552 
1259 

1967 

2674 
338i 
4088 
4795 

55o2 
6208 
6915 
7621 
8327 

9034 
9740 
o446 
ii5i 
i857 

2563 
3268 
3974 
4679 
5384 


3654 
4366 
5078 

5789 
65oi 

7212 
7924 
8635 
9346 
♦o57 

0767 
1478 
2189 

2899 
3609 

4320 
5o3o 
5740 
645o 


3726 
4437 
5i49 
586i 
6572 

7283 

7995 
8706 

9417 
0128 

0839 

1 549 
2260 
2970 
368 1 

4391 
5ioi 
58ii 
6521 


7159  723o 


7869 

8579 
9288 

9997 
0706 

i4i5 
2124 
2833 
3542 
42  5o 

4959 
5667 
6376 
7084 
7792 

85oo 
9207 

991 5 
0623 
i33o 

2o37 
2745 
3452 
4i59 
4865 

5572 
6279 
6985 
7692 
8398 

9104 
9810 
o5i6 
1222 
1928 

2633 
3339 

4o44 


7940 
8649 
9359 
♦068 

0777 

i486 
3195 
2904 
36i3 
4321 

5o3o 
5738 
6446 
7155 
7863 

8570 
9278 
9986 
0093 
i4oi 

2108 
28x5 

3522 

4229 

4936 

5643 
635o 
7o56 
7762 
8469 

9175 
9881 
0587 
1293 
1998 

2704 
3409 
4ii5 


47494820 
545515525 


3797 
4509 
5220 
5932 
6643 

7355 
8066 

8777 
9488 
0199 

0910 
1020 
233 1 
3o4i 
3752 

4462 
5172 
5882 
6592 
73oi 

8011 

8720 

9430 

oi3i 

084 

1 557 
2266 
2975 
3684 
4392 

5roi 
5809 

65i7 
7225 
7933 

864i 
9349 
♦o57 
0764 
1472 

2179 
2886 
3593 
43oo 
5oo7 

5714 
6420 

7127 
7833 
8539 

9245 

^; 

1 363 
2069 

2774 
3480 
4i85 
4890 
5596 


3868 
458o 
5291 
6oo3 
6714 

7426 
8i37 
8848 
9559 
0270 

0981 
1691 
2402 

3lI2 

3823 

4533 
5243 
5953 
6663 

7372 

8082 

8791 
9501 
0210 
0919 

1628 
2337 
3o46 

3754 
4463 

5171 
588o 
6588 
7296 
8004 

8712 
9420 
0127 
o835 
1 542 

225o 

2957 

3664 

4371 
5078 

5784 
6491 

7197 
7904 
8610 


3939 
465 1 
5363 
6074 
6786 

7497 
8208 
8919 
9630 
o34i 

io52 
1762 
2473 
3i83 
3894 

4604 
53i4 
6024 
6734 

7443 

8i53 
8862 
9572 
0281 
0990 

T699 
2408 
3ii7 
3825 
4534 

5242 
5951 
6659 

7367 
8075 

8783 
9490 
0198 
0906 
i6i3 

2320 

3o27 

3734 
4441 

5i48 

5855 
656i 
7268 

7974 
8681 


9316  9387 


♦022 
0728 

1434 
2139 

2845 
355o 
4256 
4961 
5666 


0093 
0799 
i5o4 
2210 

2916 
3621 
4326 
5o32 

5737 


0 


3      4         5      6      7      8      9 


DifT. 


Difl*.  iL  Mult. 


71 


Diff. 


I 

71 

3 

142 

3 

2l3 

4 

284 

5 

355 

6 

426 

7 

497 

8 

568 

9 

639 

I 

2 

3 

4 
5 
6 

7 
8 

9 


70 
i4o 
aio 
280 
35o 
420 
490 
56o 
63o 


Diff.  Sl  Mult. 


12 


II 


4 


90 


LOGAKITHMS     OF     NUMBERS. 


i 


Nim* 


0   12   3  4 


5  6   7 


tm  58o7  5»78  5048  6019  6089 


6512  6583 

721717287 

7923  799^ 
8026'8697 

9331  9401 

79000350106 

07390810 

i444  i^M 
3148  2218 


2922 

3626 
433o 
5o33 

5737 


6370 
7073 
7776 

8479 
9182 

•  9885 

791  o587 

1290 

1992 

2695 


6440 
7143 
7846 
8549 
9252 


7358 
8o63 

8767 

9472 
0176 
0880 
1 584 
2288 

2992 

3696 
4400 
5io3 
5807 


7917 
8620 


9323  9393  9463 


6906 

7608 
83o9 
9011 
9712 


3oi7 

4617 
53i8 
6018 
6718 

74i8 

8118 

8817 

•  9517 

7930217 

0916 
161 5 
23i4 
3oi4 
3712 

44^1 
5iio 
5809 


3467 

4169 

4871 
5573 
6275 

^7 
7678 
838o 
9081 
9782 

o483 
1 1 84 

i885 
2586 
3286 

3967 
4687 
5388 
6088 
6788 

7488 
8188 
8887 
9587 
0287 

0986 
i685 
2384 
3o83 
3782 

4481 
5i8o 

5879 


65o7;6577 
72o6'7275 


♦025 
0728 
143 1 
2i33 
2835 

3537 
4240 
4942 
5643 
6345 

7047 
7748 
845o 
9i5i 
9852 

o553 
1254 
1955 
2656 
3356 

4o57 

4757 
5458 
6i58 
6858 

7558 
8258 
8957 
9657 
o356 

io56 
1755 
2454 
3i53 
3852 

455i 

52  5o 
5948 

6647 
7345 


67246794 
7428;7499 
8 1 33  8204 
8838|89o8 

9542 
0247 
0951 
i655 
2359 

3o63'3i33 
3767I3837 
44704541 
51745244 
5877,5948 

658i  665i 


7284 
7987 
8690 


0096 
0798 
i5oi 

22o3 

2905 


7354 

8057 
8760 


0166 

0868 

i57i 
2273 
2976 


36083678 
43io438o 


5oi2 
5714 
64i5 

7117 
7818 
8520 
9221 
9922 

0623 
1 334 

2025 
2726 
3427 


1126 
1825 
2524 

3223 

3922 

4621 
5320 

6018 

6717 

74i5 


5082 

5784 
6486 

7187 
7889 
8590 
9291 
9992 


4197 
4897 
5598 
6298 
6998 

7698 
8398 
9097 

9797 
0496 

1196 

1895 
2594 
3293 
3992 

4691 
5390 
6088 
6787 
7485 


6160 
6865 

7569 

8274 
8979 


o387 
1092 
1796 
25oo 

32o4 

3907 
4611 

53i5 
6018 

6721 

7424 
8138 
883 1 
9533 

0236 
0039 
io4i 
3344 
3o46 

3748 
445o 
5 1 52 
5854 
6556 

7257 
7959 
8660 
9361 
♦o63 

0764 
1 465 
2i65 
2866 
3567 

4267 
4967 
5668 
6368 
7068 


6230 
6935 
7640 

8344 
9049 


968397539834 


63oi 

7005 
7710 
84i5 
9119 


o458 
1162 
1866 
2570 

3274 
3978 
4681 
5385 
6088 

6792 

7495 

8198 

890 

9604 

o3o6 
1009 
1711 
2414 
3ii6 

38i8 

45>o 

5222 

5924 
6626 

7327 

8029 

8730 

9432 
oi33 

0834 
i535 

2235 

2936 
3637 


o538 

1333 

1036 
3o4o 

a344 
4o48 
4752 
5455 
6159 

6863 
7565 
8268 
8971 
9674 


483 1 
5520 
6228 
6926 
7625 


34i5 
4ii8 
4822 
5526 
6229 

6o32 
7635 
8338 
9041 

9744 

0447 
II  5o 
1 853 
2554 
3257 

3889  3959 
"  4661 
5363 
6064 
6766 

7468 
8169 
8871 
9572 
0273 

0974 
1675 
2376 
3076 

3777 

4477 

5178 
5878 
6578 

7278 

7978 

8678 

9377 
0077 

0776 


4407 
5io8 
58o8 
65o8 
7208 


i4o6 
2io5 

3804 

35o3 
4202 


DiflT.       DiflT.  k.  Mult. 


3327 

4029 
473i 
5433 
6i35 
6836 

7538 
8239 
8q4i 
9642 
o343 


8048 

8747 
9447 
0147 
0846 

i545 
2245 
2944 
3643 

4341 


0   12   3  4 


5  6  7  8  9 


I 

71 

3 

142 

3 

3l3 

4 

284 

5 

355 

6 

426 

7 
8 

t^ 

9 

639 

70 


Diff. 


I 

3 

70 

i4o 

3 

3IO 

4 

280 

5 

35o 

6 

420 

7 
8 

Z 

9 

63o 

LOGARITHMS  OF  NUMBERS 


91 


Diff.  Sc  Molt. 


^^^^?^^giBi!a^^B 


Nam. 

6320 

21 
22 

23 

24 

25 

36 
27 
28 

29 

63  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

6240 
4i 
42 
43 
44 

45 
46 
47 
48 

49 

62  5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

6260 
61 
62 
63 
64 

65 
66 

67 
68 
69 

62  70 

71 
72 

73 

74 

75 
76 

77 
78 

79 

Num. 


01234         56789 


793  7904 
8602 
9300 

#  9998 
7940096 

J  394 
2091 
2789 
3486 
4i83 

4880 
5578 
6274 
6971 
7668 

8365 
9061 

♦  9757 
7950454 

ii5o 

1 846 
2542 
3238 
3933 
4629 


7974 
8672 
9370 
♦068 
0766 

1 463 
a  161 
2858 
3556 
4253 

4950 

5647 
6344 
704  r 

7738 

8434 
9f3i 
9827 
o523 
1219 

1915 
2611 

33o7 
4oo3 
4698 


8043 
8742 
9440 
01 38 
o835 

i533 

223l 
2928 
3626 

4323 

502O 

5717 
64r4 
7111 
7807 

85o4 
9200 


5324 
6020 
6715 
7410 
8io5 

8800 

*  9495 
7960190 

0884 
1579 

2273 
2967 
3662 
4356 
5o5o 

5743 
6437 
7i3i 
7824 
85i7 

9211 

#  9904 
797  0597 

1290 
1983 

2675 
3368 
4o6o 
4753 
5445 


8ii3 
8811 
9509 
0207 
0905 

i6o3 

23(X) 

2998 
3695 
4392 

5090 
5787 
6484 
7180 

7877 

8574 
9270 


9897  9966 
0593  o663 


5394 

6o8> 

678 

7480 

8175 

8870 

9564 
0259 
0954 
i648 

2343 
3o37 
3731 
4425 
5119 

58i3 
65o6 
7200 


78c 
85^ 


9280 
9973 
0666 
1359 


1289 

1985 
2681 

3377 
4072 
4768 

5464 
6159 

6854 
7549 
8244 

8939 
9634 
0329 

I023 

I7I8 

2412 
3io6 
38oo 

4494 
5i88 

5882 
6576 
7269 
7963 
8656 

9349 
♦043 
0736 
1428 


i359 

2o55 
2751 
3446 
4f42 
4838 


8i83 
8881 
9579 

0277 
0975 

1673 
2370 
3o68 
3765 
4462 

5i59 
5856 
6553 
7250 

7947 

8643 
9340 
♦o36 
0732 
1428 

2124 
2820 
35i6 
4212 
4907 


2o52  2I2I 


2745 
3437 

4i3o 
4822 
55i4 


613716207 

6829 

7521 

8213 

8905 


6899 
7590 
8282 
8974 


2814 
3507 

4199 
4891 

5584 

6276 
6968 
7660 
835i 
9043 


5533 
6228 

6924 
7619 

83i4 

9009 
97o3 
0398 
1093 

1787 

2481 
3176 
3870 
4564 
5258 

5951 
6645 
7339 
8o32 
8725 

9419 
01 1 2 
o8o5 
1498 
2191 

2883 
3576 
4268 
4961 
5653 


56o3 
6298 
6993 
7688 
8383 

9078 
9773 
0468 
1 162 
i857 

255i 
3245 
3939 
4633 
5327 

6021 

6714 
7408 
8101 
8795 

9488 
0181 
0874 
1 567 
2260 

2952 
3645 
4337 
5o3o 

5722 


6345 
7037 
7729 
8421 
9112 


64i4 
7106 
7798 
8490 
9181 


8253 
8951 
9649 
o347 
1045 

1742 
2440 
3i37 
3835 
4532 

5229 
5926 
6623 
7320 
8016 


8323 
9021 
9719 

0417 
11x4 

1812 

25lO 

3207 
3904 
4602 

5299 
5996 
6693 
7389 
8086 


839318462 

n  I  9160 
9  9858 
0487  o556 


87138782 


9409 
0100 
0802 

1498 

2194 
2890 
3586 
4281 

4977 

5672 
6367 
7063 

7758 
8453 

9148 
9842 
o537 

1232 

1926 

2620 

33i4 
4009 
47o3 
5396 

6090 

6784 

7477 
8171 
8864 


947? 
0175 

0871 

1 567 

2263 
2959 
3655 
435 1 
5o46 

5742 

6437 
7i32 

7827 

8522 


ii84 

1882 
2579 

3277 
3974 
4671 

5368 
6o65 
6762 
7459 
8i56 

8852 
9549 
0245 
0941 
i637 

2333 
3029 
3725 
4420 
5ii6 

58 1 1 
65o6 
7202 

7897 
8592 


1254 

1952 
2649 
3347 
4o44 
474 1 


8532 
9230 
9928 
0626 
i324 

2021 
2719 
3416 

4ii4 
4811 


5438  55o8 
6135I6205 
6832J6902 
75297598 
82258295 

8922  8991 
96189688 
o3i4 

lOII 

1707 


9217 
9912 
0606 
i3oi 
1995 

3690 
3384 
4078 

4772 
5466 

6160 
6853 

7547 
8240 
8933 


9557  9627 


025o 

0943 
i636 
2329 

3022 
3714 
4407 
5099 
5791 

6483 

7175 


9287 
9981 
0676 
1370 
2o65 

2759 
3453 

4i47 
484i 
5535 


24o3 

3098 

3794 

44(^ 

5i85 

588 1 
6576 
7271 
7966 
8661 

9356 
♦o5i 
0745 
i44o 
2i34 

2829 
3523 
4217 
491 1 
56o5 


62296298 
6923  6992 
7616  7685 
83o9  8379 
9003  9072 


0320 

ioi3 

1706 
2398 

3091 
3784 
4476 
5i68 
586o 

6553 

7245 


9696 
o389 
1082 

1775 
2468 


9765 
o458 
ii5i 
1 844 
2537 


o384 
1080 

1776 

2472 
3i68 
3864 
4559 
5255 

5950 
6646 
7341 
8o36 
8731 

9426 
0120 
o8i5 
1 509 

2204 

2898 

3592 

4286 
4980 

5674 

6368 
7061 
7755 
8448 
9141 

9835 
o528 
1221 
1913 
2606 


3i6o3229 


78677936 
85598628 
925119320 


3853 
4545 
5237 
5930 

6622 

73i4 
8006 


3922 

46i4 
5307 
5999 

66. 

73: 
8075 


8697I8766 
9389'9458 


3299 
3991 
4684 
5376 
6068 

6760 

7452 

8i44 
8836 
9527 


01234         56789 


Diff. 


Diff.  &  Mult. 


I 
2 
3 

4 
5 
6 

7 
8 


I 

2 
3 
4 
5 
6 

7 
8 


Diff. 


70 

i4o 

2TO 
280 

35o 
420 
490 
56o 
63o 


69 
1 38 
207 
276 
345 

4i4 
483 
552 
621 


Diff.  &  Mult. 


wm 


LOGARITHMS     OF     NUMBERS. 


Mmn. 


rfiun. 


12      3      4 


5     6     7     8     9 


9666  9735!98o4  9873 
8o357|o4a6o4o5o565 


io48|iii8 
1809 
aSoo 


3€>53  3i23 


65o6 

7197 
7887 

8577 
9267 


34o5 

4oq5 
4764 

5473 
6162 


45044573 


6645 

7335 
8025 
8715 
9336  94o5 

0095 
0785 
1475 
2164 
2854 

3543 
4a33 
4922 
Sou 
63oo 


1187 
1878 
a569 

3260 
3o5i 
4643 


1356 
io4t 
2638 

3329 
4o3o 
471 1 

5402 


60336092 


3734 
4431 
5109 
5796 
6484 

7171 
7858 
8545 
9233 

•  9919 

801  o6o5 
1393 
1078 
2o65 
335i 

4o37 
4723 
5409 
6oo5 
6781 

7466 
8i52 
8837 

•  9522 

802  0308 


6989 

7677 
8366 
9055 


7239 
7927 
8614 
9301 

99^7 

0674 
i36i 

ao47 
2733 
3430 


4io6 

4792 
5478 
6i63 


7535 
8330 
8906 
9591 
0276 


1119 
1808 
2495 
3i83 

3871 
4559 
5246 
5934 
6621 

73o8 
7995 

8682 


0164 
o854 
1 544 

3233 

2923 


36i2 

43o3 

499« 
568o 


7o58 
7746 
8435 
9133 


97439813 

043 1 


3940 

4627 
53i5 
6003 


4009 
4696 
5384 
6071 
66906758 


4174 
4860 
5546 
6232 
68496918 


7603 
8289 
8974 

95^ 
o345 


o5oo 
1188 
1876 
3564 

3352 


0333 
0933 
ioi3 

33o3 
3993 


368i 
4370 
5o6o 
5749 
63696438 


7377 
8064 
8751 

9369  9438 

♦o56 

0743 
1429 
2116 
2802 
3480 


4243 

S?? 
5oi5 

63oi 

6986 

7672 
8357 
9043 
9728 
o4i3 


7126 
7815 
85o4 
9192 
9881 

0569 
1257 
1945 
2633 
33a  I 


81 33 
8820 
9507 
0193 

0880 
1 566 

3253 

2939 
3625 


7740 
8436 
91 1 1 

9796 
0482 


9942 
0634 
1 325 

2016 
2707 


5471 
6i6t 

6852 
7542 
8233 
8923 
9612 


♦01  i[oo8ooi5o 

07o3|0772 
i3o4;i463 

2o85i2i54 
27762846 

34673536 
4i  58  4237 


478048494918 

5540  5609 
63306299 

6021 
7611 
83oi 

9681 


3750 
4439 
5129 
58i8 
65o6 

7195 
7884 
8573 
9361 

9949 

o638 
i326 
2014 
2702 
3390 


75 1 4 
8aoi 
8888 

9575 
0262 


0371 
1061 
i75i 

2440 
3i3o 

3819 
45o8 
5197 
5886 
6575 

7264 
7953 
8641 
9330 
♦018 

0707 
1395 
3o83 
2771 
3458 


o44o 
ii3o 
1820 
2509 
3199 


[4642 


7583 
8270 

8957 
9644 
o33i 

1017 
1704 
3390 
3076 


7333 
8022 
8710 


83708439 

9060 
975o 


5090578 


0775 
i463 

2l53 
2839 
3537 


7471 

8i5o 

87^98848 


9468 
01 56 


36943763 

438o4449 
5o66|5i35 

5752  5821 
643865o6 

71237192 

78097878 
84948563 


03990468 

1086 
1772 
2459 
3i45 
383 1 

4517  4586 


9180 
9865 
o55o 


9248 
9933 
0619 


7652 
833o 
9030 
97i3 


52o3 

5889 
6575 
7361 


9317 
♦003 
0687 


9536 

0235 


7730 

84o8 
9004 
9781 


4353 
5o4o 
5727 
64i5 
710a 


5272 
5958 
6643 
7339 

8oi5 

8700 
9385 
0070 
0756 


1323 

2596 

328a 
3968 

4655 
5340 
6026 
6713 
7398 

8o83 

8769 

9454 
0139 

0824 


01234         56789 


Difll       DiflT.  &  MuIU 


69 


DifT.      DiC&Hult. 


LOGARITHMS  OF  NUMBERS.                93 

t 

! 

t 
1 
1 

\ 

Nuin. 
6340 

0   1234    5678  9 

Diff. 

Diff.  &  Mult. 

802o8q3 

0961 

io3o 

1098 
1783 

1167 

1 235;  1 3o4, 1 372 

i44i 

i5o9 

I 

69 

41 

1578 

1 646 

1715 

i85i 

1920 

1988 

2o57 

2125 

2194 

2 

1 38 

i 

42 

2262 

233r 

3o84 

2468 

2536 

2605 

2673 

2742 

2810 

2879 

3 

207 

1. 

t 

43 

2947 

3oi6 

3i53 

3321 

3289 

3358 

3426 

3495 

13563 

4 

276 

f 

44 

3632 

3700 

3769 

3837 

3906 

3974 

4042 

4iii 

41794248 

5 

345 

45 

43  r6 

4385 

4453 

4522 

4590 

4658 

4727 

4795 

4864  4932 

6 

4i4 
483 
552 
621 

I 

46 

5ooi 

5069 
5753 

5i38 

5io6 

5274 

5343 

541 1 

5480 

5548  5617 

7 
8 

47 

5685 

5822 

5890 

5959 

6027 

6096 

6r64 

623216301 

48 

6369 
7053 

6438 

65o6 

6574 

6643 

6711 

6780 

6848 

69166985 
76007669 

9 

J 

49 

7122 

7190 

7258 

7327 

7395 

7464 

7532 

1 

63  5o 

7737 

7806 

7874 

7942 

801 1 

8079 
8763 

8i48 

8216 

8284  8353 

(■ 

5i 

8421 

8490 

8558 

8626 

8695 

883 1 

8900 

8968  9037 

1 

53 

9105 

9173 

9242 

9310 

9378 

9447 

95i5 

9583 

9652 

19720 

i 

53 

*  9789 

9857 

9925 

9994 

♦062 

oi3o 

0109 

0267 

o335|o4o4 

1 

54 

8o3  0472 

o54o 

0009 

0677 

0745 

0814 

0882 

0951 

1019 

1087 

55 

ii56 

1224 

1292 

i36i 

1429 

1497 

1 566 

i634 

1702 

1771 

56 

1839 

1907 
2590 

1976 

2044 

2112 

2181 

2249 

23 1 7 

2385 

2454 

57 

2522 

2659 

2727 

2795 

2864 

2932 

3ooo 

3069 

3i37 

58 

3205 

3274 

3342 

3410 

3478 

3547 

36i5 

3683 

3752 

3820 

59 

3888 

3957 

4025 

4093 

4i6i 

423o 

4298 

4366 

4435 

45o3 

63  60 

4571 

4639 

4708 

4776 

4844 

4913 
5595 

4981 

5o49 

5ii7 

5i86 

61 

5254 

5322 

5391 

5459 

5527 

5664 

5732 

58oo 

5868 

63 

5937 

600  5 

6073 

6i4i 

6210 

6278 

6346  64 1 4 

6483 

655i 

63 

6619 

6687 

6756 

6824 

6892 

6960 

7029 

7097 

7i65 

7233 

64 

73o2 

7370 

7438 

75o6 

7575 

7643 

771 1 

7779 

7848 

7916 

65 

7984 

8o52 

8121 

8189 

8257 

8325 

8393 

8463 

853o 

8598 

68 

1 36 
204 

66 

8666 

8735 

88o3 

8871 

8939 

9007 

9076 

9144 

9212 

9280 

I 

67 

9348 

9417 

9485 

9553 

9621 

9690 

9758 

9826 

9894 

9962 

3 
3 

4 
5 

68 

8o4oo3i 

0099 

0167 

0235 

o3o3 

0372 

o44o 

o5o8 

0576 

0644 

69 

0712 

0781 

0849 

0917 

0985 

to53 

H22 

1190 

1258 

i326 

272 
340 

6370 

1394 

i463 

i53i 

1599 

1667 

1735 

i8o3 

1872 

1940 

2008 

6 

408 

71 

3076 

2144 

2212 

2281 

2349 

2417 

2485 

2553 

3621 

2690 

7 

476 

72 

3758 

2826 

2894 

2962 

3o3o 

3098 

3167 

3235 

33o3 

3371 

8 

544 

73 

3439 

M 

35o7 

3575 

3644 

3712 

3780 

3848 
4529 

^xtt 

3984 

4o52 
4734 

9 

612 

74 

4l2I 

4189 

4257 

4325 

4393 

4461 

4598 

4606 

75 

4802 

4870 

4938 

5oo6 

5074 

5i43 

52II 

5279 

5347 

541 5 

76 

5483 

555 1 

5619 

5687 

5756 

5824 

5892 

5960 

6028 

6096 

77 

6164 

6232 

63oo 

6368 

6437 

65o5 

6573 

664 1 

6709 

6777 

78 

6845 

6913 

6981 

7049 

7118 

7186 

7254 

7322 

7390 

7458 

1 

\ 

79 

7526 

7594 

7662 

773o 

7798 

7866 

7934 

8oo3 

8071 

8139 

63  80 

8207 

8275 

8343 

84ii 

8479 

8547 

861 5 

8683 

8751 

8819 

■1 

81 

8887 

8956 

9024 

9092 

9160 

9228 

9396 

9364 

9432 

9500 

82 

#  9568 

9636 

9704 

9772 

9840 

9908 

9976 

♦o44 

0112 

0180 

83 

8o5  0248 

o3i6 

o385 

0453 

o52i 

0589 

0657 

0725 

0793 

0861 

84 

0929 

0997 

io65 

ii33 

1 201 

1269 

1 337 

i4o5 

1473 

i54i 

85 

1609 

1677 

1745 

i8i3 

I88I 

1949 

2017 

2o85 

2i53 

2221 

' 

86 

2289 

3357 

24?5 

2493 

256i 

2629 

2697 

2765 

2833 

of?' 

68 

87 

2969 

3o37 

3io5 

3173 

3241 

3309 

3377 

3445 

35i3 

358 1 

88 

3649 

3717 

3785 

3853 

3921 

3989 

4o57 

4i25 

4193 

4261 

89 

4329 

4397 

4465 

4533 

4601 

4669 

4737 

48o5 

4873 

4941 

63  90 

5009 

5o77 

5i45 

5212 

5280 

5348 

5416 

5484 

5552 

5620 

9» 

5688 

5756 

5824 

5892 

5960 

6028 

6096 

6164 

6232 

63oo 

67 
i34 

i 

92 

6368 

6436 

65o4 

6571 

6639 

6707 

6775 

6843 

691 1 

6979 

X 
0 

1 

93 

7047 

7ii5 

7i83 

725i 

73ro 
7998 

7387 

7455 

7523 

7590 

7658 

3 
4 

♦ 

94 

7726 

7794 

7862 

7930 

8066 

8i34 

8202 

8270 

8338 

268 

1 
1 

?^ 

84o5 

8473 

854i 

8600 

9288 

8677 

8745 

88i3 

8881 

8949 
9628 

9017 

5 

335 

1 

96 

9085 

9152 

9220 

9356 

9424 

9492 

9560 

9696 

6 

4o2 

1 

92 

♦  9764 

983 1 

9899 

9967 

♦o35 

oio3 

0171 

0239 

o3o7 

o374 

7 

469 

i 

98 

8060442 

o5io 

0578 

0646 

0714 

0782 

o85o 

0917 
1596 

0985 

io53 

8 

536 

99 

Num. 

1121 

1189 

1257 

i325 

1393 

i46o 

1 528 

1664 

1732 

9 

6o3 

0   1234    567891 

Diff. 

Diff.  &  Mult.  1 

iiii 

»4 


LOGARITHMS  OF  NUMBERS. 


fMOO 

ot 

o3 

o4. 

o5 
06 
07 
oH 
09 

11 

i3 

i4 

i5 

tl 
19 

6430 

31 
93 
33 

a5 
36 

37 

38 

39 

64  3o 
3i 

32 

33 
34 

•3? 
38 
39 

64  4o 
4i 
42 
43 
M 

45 
46 

47 
48 

49 

64  5o 
5i 

$3 

53 
54 

56 

57 
58 
59 


0  1   2  S  4 


5  6  7  8  9 


Difr. 


806  18001868  I935|20o3j207i 

3478 '  2  546  2b  1 4  2682  2  75o 


3i57  3225  3292 
3835  39033971 


45i3 

5lQI 

5i 

6547 

7225 
7903 

858o 

9258 

•  9935 

8070612 

1290 

1967 

2644 
3320 

3997 
4674 

53  5o 


60376094 


6703 

7379 
8o55 

8731 

•  9407 
8080083 

0759 
1434 

3IIO 
3785 
3460 

4i36 
48ii 

5486 
6160 
6835 

75 10 
8184 

8850 

#  9533 
8090207 

0881 
1 555 


8962 

•  9635 

8ioo3o8 

0980 

i653 


458 1 

5259 
5q37 
i5 
7393 
7970 

8648 
9326 
♦oo3 
0680 
1 357 

2o34 
2711 
3388 
4o65 
4741 

5418 


6771 

7447 
8123 

8799 
9475 
01 5i 
0826 

l503 

2177 

2853 

35a8 
42o3 
4878 

5553 
6328 
6903 

7377 
8a53 

8926 
9600 
0275 


102 

2297 

2970 

3644 
43i8 

4991 

5664 
6338 

7011 
7684 
8357 

9o3o 
9702 
0375 
io48 
1720 


4649 

5327 
6oo5 
6683 
7361 
8o38 

8716 
9393 
0071 
0748 
1425 

2102 
2779 
3456 
4t32 
4809 

5486 
6163 
6838 

75i4 
8191 

88&7 
9542 
0218 
0894 
1569 

3345 
3930 
3595 

4371 

4946 

5630 
6295 
6970 
7645 
83i9 


0343 
1016 
1690 

2364 
3o38 
3711 
4385 
5o58 

573a 
64o5 
7078 

775 1 
8424 

9097 
9770 
0442 
iii5 
1787 


336o 
4o38 
4717 

5395 
6073 
6751 
7428 
8106 

8784 
9461 
01 38 
0816 
1493 

2170 
2847 
3523 
4200 

4877 

5553 
623o 
6906 
7^82 
8258 

8q34 
10 
0286 
0961 
1637 

23l2 

2( 

3^ 

4338 
5oi3 

5688 

6363 
7037 
7712 
8387 

9061 
9735 


1084 

1757 

243 1 
3io5 

3779 
4452 

5126 

5799 
6472 
7146 
7819 
8491 

9164 
9837 
o5io 
1182 
i855 


3428 
4io6 
47«4 

5463 
6i4i 
6818 
7496 

8174 

885 1 
9520 
0206 
o883 
i56o 

2237 

2914 
3591 
4268 

4o4A 

5621 
6297 

6974 

7650 
8326 

900a 
9678 
o353 
1029 
1704 

338o 
3o55 

3730 
4406 
5o8i 

5755 
643o 
7io5 
7780 
8454 

91  a8 
9803 


04090477 


n5i 
i8a5 

3i7J 
3846 
4520 
5193 

5866 
654o 
72i3 
7886 
8559 

9232 
9004 
o577 
1249 
192a 


2139 
2817 
3496 

4174 
4853 


553o  5598 
6208 


220712275 


2885 

3564 
4a42 
4920 


6886 
7564 
8a43 

^ 

0274 
0951 
1628 

23o5 
2982 
3659 
4335 
5oi2 

5689 

6365 

7o4i 

7717 
8393 

0431 
1096 

1773 

3447 
3i23 
3798 
4473 
5i48 

5823 
6498 

7172 

7847 
8521 


o343 
1019 
1696 

2373 
3o5o 
3726 
44o3 
5o8o 

5756 
643a 

7109 
7785 
846i 

9137 
9813 
o488 
1164 
i84o 

25i5 


2953 
3632 

43io 
4988 

5666 


5734 
637663446412 
6954  703a  7089 
7633  7699  7767 
830983778445 


454i 
53i6 

5890 
6565 
7240 
7914 
8589 


96  9263 


9870 

o544 
1218 
1892 

2566 
3240 
3914 
4587 
5260 

M 

57 
7280 
7953 
8626 

9299 

9972 

0644  07 1 1 
1 384 
2o56 


9o38 
0612 
1286 
i960 

2634 
33o7 
3981 
4654 
5328 

6001 

6674 

7347 
8020 
8693 


♦039 


i3i7 
1989 


9055 

9733 

0/ 

1086 

1764 

2440 

3ii7 

3794 

447 

5i47 

5824 
65oo 

7176 
7853 
8529 

9204 


9122 
9800 

4o9|o477 

'"  ii54 

i83i 

25o8 
3i85 
3862 
4538 
52i5 

5891 
6568 

7244 


98809948 
o556 

1232 

1907 


2582 

3258 
3933 

4608 
5a83 

5958 

6633 
7307 
7982 
8656 

9331 
♦oo5 
0679 
1 353 
3037 

2701 
3375 
4o48 
4722 
5395 

6068 
6742 
74i5 
8088 
8761 


9366  9433  9501 


0106 
0779 
i45i 

2123 


2343 

3o3i 
5o56 


927a 

o6a4 
1399 

1975 

265o 
3325 
4000 
4676 
535 1 

6035 
6700 

7375 
8049 
8724 

9398 
0072 

0747 
i4ai 
2094 

2768 
3442 
4ii6 
4789 
5462 

6i36 


2410 
3089 
3767 
444^ 
5i34 

58o3 

6479 
7157 
7835 
85i3 

9867 
o545 

1322 
1899 

2576 

3253 

4600 
5283 

5959 
6635 
73ia 
7988 
8664 

9340 
♦01 5 
0691 
i367 
ao43 

3718 
3393 
4068 
4743 
5418 

6093 
6768 

7442 
8117 
8791 

9466 
0140 
0814 
i488 
ai6a 

2836 
3509 
'4i83 
4856 
553o 

6203 


7482 
81 55 
8838 


0173 
0846 
i5i8 
3191 


68096876 


7549 
8333 
8895 

9568 
0241 
0913 
1 586 

2258 


ai234        56789 


Uiir.  iL  Mult. 


Dur. 


I 

a 
3 

4 
5 
6 

7 
8 

9 


I 

68 

a 

i36 

3 

3o4 

4 

37a 

5 

340 

6 

408 

7 

476 

8 

544 

9 

61  a 

67 

i34 

301 

368 
335 
4o3 

6o3 


Diff.  it  Mvh. 


LOGARITHMS     OF    NUMBERS. 


95 


Num. 

6460 

61 
62 
63 
64 

65 
66 

67 
68 
69 

6470 

71 
73 

73 

74 

75 
76 
77 
78 

79 

64  80 
81 
82 
83 
84 

85 
86 

87 
68 

89 

6490 
9' 
9? 

^] 
94 

96 

9Z 
98 

99 

65  00 
01 
02 
o3 
o4 

o5 
06 
07 
08 
09 

65  10 
II 

13 

i3 
i4 

i5 
16 

17 
18 
19 

Nam. 


01234         56789 


810  2325 
2997 

3670 
4342 
5oi3 

5685 

6357 
7029 
7700 
8372 

9043 

•  9714 

81 1  o385 

io56 

1727 

23 


2392 
3o65 

3737 


4409  4476 
5o8i  5i48 


3 

3739 
4409 
5o8o 

5750 
6420 
7090 
7700 
843o 


2460 
3i32 
38o4 


5752 
6424 
7096 
7767 
8439 

9110 
9781 
0452 

1 1 23 

1794 

2465 
3i35 
38o6 
4476 
5i47 

58i7 
6487 

7157 
7827 

8497 


5820 
6491 
7163 
7834 
85o6 

9177 
9848 
o5i9 
1190 
1861 

2532 

32o3 
3873 

4544 
5214 

5884 
6554 

7224 
7894 


9100 

•  9769 
8i3o43q 

1108 

1778 

2447 
3ii6 

3785 

4454 
5i23 

5792 
646o 
7129 

7797 
8465 

9134 

•  9802 
81 3  0470 

ii38 
i8o5 

2473 
3i4i 
38o8 
4475 
5i43 

58io 

6477 
7144 
781 1 
8478 

9144 

•  9811 

8i4  0477 
1144 


2527 
3199 
3871 
4543 
52i5 

5887 
6558 
7230 
7902 
8573 

9244 
9915 
o586 
1257 
1928 

2599 
3270 
3940 

461  T 
5281 

5951 
6621 
7291 


2594 
3266 

3038 
4610 
5282 

5o54 
6626 

7297 

8640 


93ii 
9982 
o653 
1 324 
1995 

2666 
3337 
4007 
4678 
5348 

6018 
6688 
7358 


7961  8028 
8564  863 1  8698 


9167 
9836 
o5o6 
1175 
1845 

25i4 
3i83 
3852 
4521 
5190 

5858 
6527 
7196 
7864 
8532 

9200 
9868 
o536 

I2o4 

1872 

2540 
3207 

3875 
4542 

5ao9 

5877 
6544 
7211 

7877 
8544 

921 1 

9877 

o544 
1210 


1810I1876 


9234 

^3 

1242 
1912 

258i 
325o 
3 

5257 

5925 

6594 
7262 
7931 

8599 
9267 
9935 
o6o3 
1 271 
1939 

2607 
3274 
3942 
4609 
5276 

5943 
6610 
7377 
7944 
861 1 

9278 

9944 
0610 
1277 
1943 


93oi 
9970 
0640 
1 309 
1979 

2648 
33i7 
3986 
4655 
5323 

5992 
6661 
7320 
7998 
8666 

9334 
♦002 
0670 
1 338 
2006 

2673 
3341 
4008 
4676 
5343,5410 

60106077 
6677  6744 
7344 
8011 


9368 
♦o37 
0707 
1376 
2045 

2715 
3384 
4o53 
4722 
5390 

6059 
6728 
7396 
8064 
8733 

9401 
0069 
0737 
i4o5 
2072 

2740 
3408 
4075 

4742 


74ii 
8077 
8678  8744 


9344 
♦on 
0677 
1 343 
2010 


9411 

0077 

0744 
i4io 
2076 


2661 
3333 
4006 
4678 
5349 

6021 
6693 

7364 
8o36 
8707 

9378 
♦o5o 
0721 
1392 
2062 

2733 
34o4 
4074 
4745 
54i5 

6o85 
6755 
7425 
8095 
8765 

9435 
oio4 
0774 
1443 
2112 

3782 
345 1 

4l20 

4788 
5457 

6126 

6794 
7463 
8i3i 

8799 

9468 

01 36 

0804 

1471 
2139 

2807 
3474 
4142 
4809 

5476 

6x43 
6810 

7477 
8144 
8811 

9477 
0144 
0810 

1477 
2143 


2729 
3401 
4073 
4745 
5417 

6088 
6760 
7432 
8io3 
8774 

9446 
0117 
0788 
1459 
2129 

2800 

3471 
4i4i 
4812 
5482 


2796 
3468 
4i4o 
4812 

5484 

6)56 
6827 

7499 
8170 

884i 

951 3 
0184 
o855 
1526 
2197 

2867 
3538 
4208 

4879 
5549 


6i52 
6822 
7492 
8162 
8832 


2863 
3535 
4207 

4879 
555i 

6223 
6894 
7566 
8237 
8909 

9580 
025 1 
0922 
1593 
2264 

2934 
36o5 
4275 
4946, 
56i6 


2930 
36o2 
4274 
4946 
56i8 

6290 
6961 
7633 
83o4 
8976 

9647 
o3i8 
0989 
1660 
233i 

3ooi 
3672 
4342 
,5oi3 
5683 


Diff. 


62196286 


9502 
0171 
o84i 
i5io 
2179 

2848 
35i8 
4186 
4855 
5524 

6193 
6861 
753o 
8198 
8866 

9534 
0202 
0870 
i538 
2206 

2874 
3541 
4209 
4876 
5543 

6210 
6877 
7544 
8211 
8878 

9544 
0211 
0877 
1 543 
2210 


6889 
7559 
8229 
8899 

9569 
0238 
0908 

1377 

2246 

2915 
3584 
4253 
4922 
5591 

6260 
6928 

7597 
8265 
8933 

9601 
0269 
0937 
i6o5 
2273 

2940 
36o8 
4275 
4943 
56io 

6277 

6944 
761 1 
8278 
8944 

9611 

0277 
0944 

lOIO 


6956 

7626 

8296 
8966 

9636 
o3o5 
0975 
1644 
23x3 

2982 
365 1 
4320 
4989 
5658 

6326 
6995 
7663 
8332 
9000 

9668 
o336 
ioo4 
1672 
2339 

3oo7 
3675 
4342 
5009 
5676 

6344 
7011 

7677 

8344 
901X 

9677 
o344 

lOXO 

1677 


2276I2343 


6353 
7023 
7693 
8363 
9033 

9703 
0372 
io4i 
X7XI 
238o 

3o49 
3718 
4387 
5o56 

5725 

6393 
7062 
773o 
8399 
9067 

9735 
o4o3 
1071 
1739 
2406 

3o74 
3741 
4409 
5070 
5743 

64xo 

7077 

7744 
84xx 
9078 

9744 
o4ii 
X077 
1743 
2409 


01234         56789 


Diff.  Sc  Mult. 


67 


I 

67 

2 

i34 

3 

201 

4 

268 

5 

335 

6 

4o3 

7 

469 

8 

536 

9 

6o3 

Diff. 


I 

66 

3 

l33 

3 

198 

4 

264 

5 

33o 

6 

396 

7 

463 

8 

528 

9 

5^ 

Diff.  &.  Mult. 


Ww 


LOGARITHMS     OF     NUMBERS. 


Num. 

at 

39 

a3 
M 

a5 
a6 

a7 

65  3o 

3a 
33 

yliCI 

36^ 
3*7 
38 
39 

65  4o 
4 1 

49 

45 
46 

47 
48 
49 

65  5o 

5i 

53 
54 

55 

56 

57 
58 

59 

65  60 
61 
6a 
63 
64 

65 
66 
67 
68 
69 

6670 

71 

7a 
73 
74 

75 
76 

77 
78 

79 


0      12      3      4 


5     6     7     8     9 


814  3476 
3i42 
38o8 
4474 
5i4o 

58o5 
6471 
7i36 
7801 
8467 


2543,26002676 
3209'3275  334a 
3875  3941  4oo8 
4540  4607  4674 


5ao6 

587a 
6537 
72o3 
7«68 
8533 


3743 
3408 
4074 
4740 
5406 

6071 


91 3a  91989265  9331 

980399309996 


•  9707 
8i5o46a 

1137 

1791 
a456 

3l20 

3785 
4449 
5ii3 


oSaSoSoSoodi 
1260I1326 
1934  1 991 


1193 
1 858 

2522 
3187 

385 1 
45 16 
5i8o 


5777 
6441 
7fo5 

7769 
8433 

♦  9760 

8i6o4a3 

1087 

1750 

a4i3 
3076 
3739 
4402 
5o64 

5727 


9163 
9826 
0490 
ii53 
1816 

a479 
3i4a 
38o5 
4468 
5i3i 

5793 


63896456 


7o5a 

7714 
8376 

9o38 

•  9700 

817  o36? 

1034 

1686 

a347 
3009 

3670 

433 1 

4993 

5654 
63i5 
?76 


5a73  5339 

5038  6oo5 
6604  6670  6737 
7269  7336  7402 
7935  8001  8068 
8600,86668733 

2^ 

0728 

(302 

2o57 

3733 
3386 
4o5i 
471 5 
5379 

6043 

6707 
7371 
8o35 
8698 

936a 
♦025 
0689 
1 352 
aoi5 

3678 
3341 
4oo4 
4667 
5339 


2589  2655 
3251  3320 
3918  3q84 
4582  4648 
5a46  53i3 

5910 

6574 
7238 


7118 

7780 
8443 


241 3 
3075 
3736 
43o8 
5o59 

5720 
638 1 
7042 


9171 
9833 
0495 
iid6 
1818 


2809  2876; 2942i3o<J9, 3075 


3612 

3275 
3o38 
4000 
5a63 


93o3 
98999965 
o56i 

1223 

i884 

a6ia 
3273 
3o35 
4596 
5a57 


5786  5852 
6447  65 1 3 


8397 


8958 
*  9618 

818  0278 
0939 
1599 


7108 
7702 1 7768 
8363  84a9 


9034 
9684 
o344 
ioo5 
i665 


9000 
97  5o 
o4io 
1071 
1731 


7174 
7835 
8495 

9i56 
9816 

0477 
ii37 

1797 


5918 
6579 
7240 
7901 
856i 

9aaa 
9882 
0543 
iao3 
i863 


3475 
4i4i 
4807 

5473 

6i38 
68o3 


3543  !36o8  3675 


4207 
4873 


^/w^  16870 

7469!  7535 

8i34!8aoi 

87998866 


4274 
4940 


5539I5605 
62046371 


90 


9464 
01  a 

0794 
1459 
a  1 34 

3788 
3453 

4117 

4781 
5445 

6100 
6773 
7437 
8101 
8765 

9428 
0002 
0755 
i4i8 
ao8i 

a745 
3407 
4070 
4733 
5396 

6o58 
6721 
7383 
8045 
8707 

9369 
♦o3i 
0693 
i355 
2017 

2678 
3339 
4ooi 
4662 
5323 

)45 
73o6 


9531 
0196 

0861 

1^25 

2190 

a855 
35i9 
4i83 
4848 
55ia 


6937 
7602 

8267 
8932 

9507 

0262 

27 


4341 
5oo6 
5672 


6338 
70o3 
7668 

8334 
89999065 


2 


aa 


3921 
3586 
4a5o 

4914 
5578 


64o4 
7070 

7735 
8400 


61766242 

6840 

75o4 

8167 

883i 


9664 
o329 
0994 
i658 
23a3 

2988 
365a 
43i6 
4981 
5645 


3741 
4407 
5073 
5739 


6906697 
7570  763 


9495 

01 58 
08a  I 
i485 
a  148 

2811 

3474 

4i37 

4799 
546a 

61  a4 

6787 
7449 
8111 


7t)70 
8234 
8897 

9561 
0224 
0888 
i55i 
aai4 

3877 
3540 
4ao3 
4866 
55a8 

6191 

6853 
75i5 
8178 


8774  884o 


9436 
0098 
0759 
1421 
2o83 

2744 
3406 
4067 
4728 
5389 

6o5o 
6711 

7372 
8o33 


36 
83oo 
8964 

9627 
0201 

0954 
1617 
3380 


9730 
0395 
1060 
1725 
2389 

3o54 
3718 
4383 

5o47 
5711 

6375 
7039 
77o3 
8367 
9o3o 

loao 
i684 
a347 


Biff. 


2943  3oio 


9502 
0164 
0826 
1487 
2149 

3810 

3472 
4i33 

4794 
5455 

6116 

6777 
7438 
8099 


86938759 

9a88  935419420 

'"  ♦0140080 

0741 

1369  i335  i4oi 

1929  1995  2f)6l 


36o6 
4269 
4q32 
5594 

6a57 

%t 

8244 
8906 

9568 
o23o 
0892 
1 553 

3215 
2876 

3538 
4199 
4860 
55a  I 

6i8a 

6843 

75o4 
8i65 
8825 


3673 
4335 

'^, 

63a3 


48 
83 10 
897a 

9634 
0206 


?§ 


9948 
06090675 


9486935 


20 
aaSi 

ao43 
36o4 
4265 
4037 
5588 

6249 
6909 

7570 
823i 
889a 


Of  46 
0807 
1467 
2127 


a 

oaia 
0873 
i533 
2193 


01234         56789 


Dim  &.  Mult. 


1 

3 

3 

4 
5 
6 

7 
8 


Diff. 


67 
i34 
aoi 

268 
335 
402 
469 
536 
6o3 


I 

66 

a 

i3a 

3 

198 

4 

264 

5 

33o 

6 

396 

7 

462 

8 

538 

9 

594 

DiflT.  k  Malt. 


LOGARITHMS     OF     NUMBERS. 


97 


Num. 


0   1 


3  4 


5  6   7   8   9 


6580 

818  3259 

81 

2919 

82 

3579 

83 

4239 

84 

4898 

85 

5558 

86 

6217 

87 

6877 

88 

7536 

89 

8195 

6590 

8854 

9* 

#  95 1 3 

92 

8190172 

9^ 

o83i 

94 

1489 

95 

2i48 

96 

2806 

97 

3465 

9d 

4i23 

99 

4781 

6600 

5439 

01 

6097 
6755 

02 

o3 

74i3 

04 

8071 

o5 

8728 

06 

9386 

07 

820  0043 

08 

0700 

09 

1 358 

66  lo 

aoi5 

II 

3672 

la 

3328 

i3 

3985 

i4 

4642 

i5 

5298 

16 

5955 

17 

6611 

18 

7268 

»9 

7924 

6620 

858o 

21 

9236 

aa 

#  9892 

a3 

821  o548 

a4 

I2o3 

25 

1859 

26 

25i4 

37 

3170 

28 

3825 

29 

4480 

66  3o 

5i35 

3i 

5790 

32 

6445 

33 

7100 

34 

7755 

35 

8409 

36 

9064 

37 

#  9718 

38 

822  0372 

J9 

1027 

2325  23 

2985 

3645 
43o5 


91 
3o5i 
3711 
4370 
5o3o 


4964 

5624  5690 
6283  6349 
6943 
7602 
8261 


8920 

9579 
0238 
0897 
i555 

22l4 

2872 

353 1 
4189 
484? 

55o5 
6i63 
6821 

7479 
8i36 

8794 
945 1 
0109 
0766 
1423 

2080 
2737 
33o4 
4o5i 
4708 

5364 
6021 
6677 
7333 
7989 

8645 
9301 

9957 
o6i3 
1269 

1924 
258o 
3235 
389! 
4546 

5201 
5856 
65ii 
7i65 
7820 

8475 
9129 

9784 
o438 


7008 
7668 
8327 

8986 
9645 
o3o4 
0962 
1621 

2280 
2938 

3597 
4255 
4913 

5571 
6229 
6887 
7545 
8202 

8860 
9517 
0175 
o832 
1489 

2i46 
2803 
3460 

4117 
4773 

543o 
6086 
6743 
7399 
8o55 

8711 
9367 
♦023 
0679 
1 334 

1990 
2645 
33oi 
3956 
461 1 

5266 
5921 
6576 
723i 
7886 

854o 
9195 

9849 
o5o3 


2457 
3ii7 

3777 
4436 
5096 

5756 
64i5 
7074 
7734 
8393 

9062 
9711 
0370 
1028 
1687 

2346 

3c)o4 
3662 
4321 

4979 
5637 
6295 
6953 
7610 
8268 

8925 
9583 
0240 
0898 
1 555 


1092  1 1 58 


2523 

3i83 
3843 
45o2 
5162 

5822 

648i 
7140 
7800 
8459 

9118 

9777 

o436 
1094 
1753 

241 1 
3070 
3728 
4386 
5o45 

5703 
636o 
7018 
7676 
8334 

8991 
9649 
o3o6 
0963 
1620 


2212 
2869 
3525 
4182 


2277 
2934 
3591 
4248 
4839  4905 


5495 
6i52 
6808 

7464 
8121 

8777 
9433 
0089 

0744 
1 400 

2o55 
2711 
3366 
4022 
4677 

5332 
5987 
6642 
7296 
7951 

8606 
9260 

9914 
0569 

1223' I  288 


556i 
6218 

6874 
753o 
8186 

8842 
9498 
01 54 
0810 
i465 

2121 

2776 
3432 
4087 
4742 

5397 
6o52 
6707 
7362 
8017 

8671 
9326 
9980 
o634 


2589 
3249 
3909 
4568 
5228 

5888 

6547 
7206 
7866 
8525 

9184 
9843 
o5oi 
1160 
1819 

2477 
3i36 

3794 
4452 
5no 

5768 
6426 
7084 
7742 
8399 

9057 
9714 
0372 
1029 
1686 

2343 
3ooo 
365? 

43i4 
4970 

5627 
6283 
6939 

8252 

8908 

9564 
0220 
0875 
i53i 

2187 
2842 

3497 
4i53 
4808 

5463 
6118 

6773 
7427 
8082 

8737 
9391 
♦045 
0700 
1 354 


5953;6oi9 
66i3  6679 


7272 

7?3i 
8591 


2655,2721 


33t5 
3975 
4634 
5294 


338 1 
4o4i 
4700 
536o 


7338 

7997 
8656 


92509315 


9908 
o567 
1226 
1 885 

2543 
3202 
386o 
45i8 


9974 
o633 
12 
19 


2609 
3267 
3926 
4584 
5176  5242 

5834  5 
6492  6 


71 5o 
7808 
8465 

9123 
9780 
0437 
1095 
1752 

2409 
3o66 
3723 

4379 
5o36 

5692 
6349 
70o5 
7661 
83i7 

8973 
9629 
0285 
0941 
1597 

2252 
2908 

3563 
4218 
4873 

5528 
6i83 
6838 
7493 
8i47 

8802 
9456 

OIII 

0765 
1419 


7216 

7873 
853 1 

9188 
9846 
o5o3 
1160 
1817 

2474 
3i3i 
3788 
4445 

5l02 

5758 

64x4 
7071 

7727 
8383 

9039 
969^ 
00  5 1 
1007 
1662 

23i8 
2973 
3628 
4284 
4939 

5594 
6249 


2787 

3447 
4107 
4766 
5426 

6o85 
6745 
74o4 
8o63 
8722 

9381 
♦o4o 
0699 
1 358 
2016 

2675 
3333 
3991 
465o 
53o8 

5966 
6624 
7281 
7939 

8597 

9254 
9912 
0569 
1226 
1 883 

2540 
3197 
3854 
45ii 
5167 

5824 
648o 
7i36 
7793 
8449 

9105 
9761 
o4i6 
1072 
1728 

2383 
3o39 
3694 
4349 
5oo4 


2853 
35i3 

4173 

4832 
5492 

6i5i 
6811 

7470 
8129 
8788 

9447 
0106 
0765 

1424 
2082 

2741 
3399 
4057 
47«5 
5374 

6o32 
66F9 

7347 

oC)o5 

8662 

9320 

99^7 
o635 
1292 
1949 

26fj6 
3263 
3920 
4576 
5233 

5889 
6546 
7202 
7858 
85i4 

9170 
9826 
0482 
ii38 
1793 

2449 
3io4 
3759 
44i5 
5070 


63x4 
6904I6969 

7558I7624 
8213I8278 

88678933 
9522I9587 
017610242 
o83o'o896 
1485^550 


5659  5725 


638o 
7034 

7689 

8344 

8998 
9653 
o3o7 
0961 
i6i5 


Diff. 


66 


Num. 


0      1 


3      4 


6      7      8      9 


Diff.  &  Mult 


I 

2 

3 

4 
5 
6 

7 
8 

9 


I 
a 
3 

4 
5 
6 

7 
8 


Diff. 


66 

1 32 

198 
264 
33o 
396 
462 
528 
.594 


65 
i3o 
195 
260 
325 
390 
455 
520 
585 


Diff.  &,  Mult. 


13 


'"ii":""'  ■'■'!' ni!i!!5iT'!;«li!!|n5ffill' 


I 


98 


LOGAEITHMS     OF     NUMfifiRS. 


3     4 


6      7 


DiflT.       Ditr.  &  Mult. 


83a  i68i 
2335 

:2 


? 


4296 


6357 
6010 

8ai6 

CNSOO 

8230175 
0828 

1481 

2786 
3438 
4090 

4742 

6046 
6698 

735p 


1746 

24CX) 

3o54 
3708 
4362 

5oi5 
5669 

6322 

6075 

7629 
8282 

8o35 
9588 
0241 
0893 

i546 
2108 
285 1 

4i55 


5o8i 

5734 
638? 

704 1 
7694 


1258  1 323 


45 1 3 

58i4 

6464 
7"  4 


7765 

84i5 

9065 

•  97159780 

825  o364  0429 


4873 

55  a  5 
6177 
'68  s8 
7480 

8 1 32 
8783 


8067 
8718 
9370  9435 

♦031 
0672 


0086 

0737 

1389 

2o4o 
2625  2691 


3276 

3927 
4578 

5228 
5879 
65*9 
7179 


783o 

8480 
91 3o 


ioi4 
1664 
a3i3 
2063 
36i2 

4261 
4910 

5559 
6208 


66576922 


25o6 
i54 
88o3 

•  945i 
826  0100 


1079 
1720 
2378 
3028 
3677 

4326 

4975 
5624 
6273 


3341 
3992 

4643 
5293 

5a44 
6594 
7244 

7895 
8545 
9195 
9845 
0494 

ii44 
1794 
2443 
3093 

374  •? 

4391 
5o4o 
5689 
6338 
6987 

7571  7636 
82108284 
8868  8o33 
95169381 
016510229 


84 12 
9065 
9718 

0371 

1024 

1676 
2329 
2981 
3634 
4286 

5590 

6242 

6894 

7545 
8197 

8849 

9600 
oi5i 
o8o3 

1454 
2iu5 
2756 
34tj6 
4o57 


4708 
5358 


4773 
5423 


60096074 
6659  ' 
73io 

7960 
86ro 
9260 

99JO 
0559 

1209 
i85o 
a5o8 

3i57 
3807 

4456  4521 

5io5|5i70 


5754 
64o3 
7052 


0294 


5819 
64(58 
7117 

7765 

84i4 
9062 

97" 
0359 


2008 
2662 
33 16 


2073|2 1 392204  2260 
2727  279!  2858! 292S 
338i  34463512  3577 
4o35  4100U166  423i 
4688  4754I4819  4884 


0343 

9196926 

9849 

o5o2 
ii54 


1807 
2459 
3iri 

3764 
44 1 6 

5720 
6372 

7024 
7676 

8327 
8979 
9630 
0282 
0933 


1 584 

2235 

2886 
3537 
418714252 


1872 
25v5 

3 1 77 
3829 
448 1 

5i34 
5786 
6437 
7089 

7741 
8393 

9<>44 
9695 
o347 
0998 


5407 
6061 

6714 
7367 
8021 

8674 
9327 

9979 
o632 

1285 

1937 
259V) 
3242 
3894 
4547 

5io9 

585 1 
6.5t>3 
7i54 
7806 

8458 
9109 
9761 
o4i2 
io63 


5473 
6126 
6770 
7433 
8086 


87398804 


9392 
♦045 
0697 
i35o 

2oo3 
2655 
33o7 
3o6o 
4012 


1649 
23oo 

KXJa 


7220 
7871 


5538 
6191 
6845 
7498 
8i5i 


9457 

Olio 

0763 
i4i5 

2068 
2720 
3373 
4o25 
4677 


5364  5329 
5916  5981 
6568  6633 


8523 
9174 
9826 

0477 
1 1 28 


4838 
5489 

6139 
6789 

7440 

8090 
8740 
9390 
*o4o 
0689 


4903 
5554 
6204 
6854 
75o5 

8i55 
88o5 
9455 
oio5 
0754 


1714  1779 
2365  243o 
3oi6  3o8i 
36673732 
43 1 8  4383 


783o  7895 
84798544 


9127 

9776 


4968 
5619 
6269 
6919 
7570 

82  30 
8870 
9520 
0169 
0819 


5684 
6334 
6984 
7635 

8385 
8935 
9585 
0234 
0884 


13391404  1469  i534 
2183 
2833 
3482 
4i3i 

4716 
5365 


9192 
9840 


0424I048 


6014 
6662 
73ii 

7960 
8608 

9257 


8025 
8673 
9322 


7285 
7936 

8588 

9891 

o542 
1 193 

1844 
2495 
3i46 
3797 
4448 

5098 
5749 
6399 
7049 

7700 

835o 
9000 
9650 
0299 
0949 

1590 
2248 
2898 

3547 
4196 


8090 
8738 
9387 


99059970U035 
o554lo6i8io683 


iVi]in« 


0      1 


3     4 


8 


65 


DiflT. 


I 

65 

2 

i3o 

3 
4 

200 

5 

325 

6 

7 

390 

455 

8 

520 

9 

585 

DiflT.  a.  Mult. 


LOGARITHMS     OF     NUMBERS. 


99 


Num. 

6700 

01 
02 
o3 
04 

o5 
06 
07 
08 
09 

67  10 
II 
12 
i3 
i4 

i5 
16 
17 
18 
19 

67  20 
21 
22 

23 

24 

25 

36 

27 
28 
29 

6730 
3i 

32 

33 

34 

35 
36 

37 
38 

39 

6740 
4i 
42 
43 

45 

46 
47 

48 

49 

67  5o 
5i 

52 

53 
54 

55 

56 

57 
58 
59 

Num. 


0      12      3     4 


5     6     7     8     9 


826  074808 1 3 
1396  i46i 
2044  2109 
2692  2757 
3340  34o5 


3988 
4635 
5283 
5931 
6378 

7225 
7872 
85x9 
9166 

#  9813 

827  0460 
1 1 07 
1753 
2400 
3o46 

36o3 
43j9 
4985 
563 1 

6277 

6923 
7569 
8214 
8860 

#  95o5 

828  01 5 1 
0796 

i44i 
2086 
2731 

3376 
4o2i 
4665 
53io 
5955 

659 

724 
7887 
8532 
9176 

#  9820 

829  o463 
1 107 
1751 
2394 

3o38 

368 1 

4324 

4967 
56ii 

6254 
6896 
7539 
8182 
8824 


4o53 
4700 
5348 
5995 
6643 

7290 
7937 

8584 
9331 

9878 

o525 
1172 
i8i8 
2465 
3ui 

3757 
44o4 
5o5o 
5696 
6342 

6987 
7633 

8279 
8924 
9570 

02l5 

0860 

i5o6 

2l5l 

2796 

3440 
4o85 
473o 
5375 
6019 

6663 
7308 
7952 
8596 
9240 

9884 
0528 
1171 
i8i5 
2459 

3l02 

3745 
4389 
5o32 
5675 

63 18 
6961 
7603 
8246 
8889 


0878 
1526 
2174 
2822 
3470 

4117 
4765 
54i3 
6060 
6707 

7355 
8002 
8649 
9296 
9943 

0590 
1236 
1 883 
2529 
3176 

3822 

4468 
5ir4 
5760 
64o6 

7052 
7698 
8343 
8989 
9634 

0280 
0925 
1370 

22l5 

2860 

35o5 
4i5o 
4794 
5439 
6o83 

6728 
7372 
8016 
8660 
9304 

9?48 
0592 

1236 

1879 

2523 

3i66 
38x0 
4453 
5096 
5739 

6382 
7025 
7668 
83xo 
8953 


0942 
1 591 
22J9 

2887 
3534 


4182 
483o 

5477 
6125 

6773 

7419 
8067 

8714 
9361 
♦007 

o654 
i3oi 

1947 
2594 
3240 

3887 
4533 

582:) 
6471 

7II7 
7762 
8408 
9053 
9699 

o344 
0989 
1 635 
2280 
2925 

3569 

4214 
4859 
55o3 
61 48 

6792 

7437 
8081 
8725 
9369 

♦01 3 
o656 
i3oo 

1944 
2587 

323i 
3874 
45x7 
5i6o 
58o3 

6446 
7089 
7732 
8375 
9017 


1007 
i655 
23o3 
3951 
3599 

4247 
4895 
5542 
6190 
6837 

7484 
8i3i 

8778 
9425 
0072 

0719 
1 366 

30I2 
2659 

33o5 

3951 

4597 
5244 
5889 
6535 

7181 
7827 
8473 
9118 
9763 

0409 
xo54 
1699 

2344 
2989 

3634 
4279 
4923 
5568 
6212 

6857 
75oi 
8145 
8789 
9433 

0077 
0721 
i365 
2008 

2652 

3395 

3938 

4582 

5225 

5868 

65ii 
7i54 
7796 
8439 
9081 


1072 

1720 
2368 
3oi6 
3664 


43 1 2  4376 
4959  5o24 


ii37 

X785 
2433 
3o8i 
3729 


56<^7 

6254 
6902 

7549 
8196 
8843 
9490 
oi37 

0784 
i43o 
2077 
2723 
3370 

4oi6 
4662 
53o8 
5954 
6600 

7246 
7891 
8537 
9x83 
9828 

0473 
1119 

1764 
2409 

3o54 

3698 
4343 
4988 
5632 
6277 

6921 
7565 
8210 
8854 
949« 

oi4i 
0785 
1429 
2073 
2716 

3359 
4oo3 
4646 
5289 
5932 

6575 
7218 
7861 
85o3 
9146 


5672 
63x9 
6966 

7614 
8261 
8908 
9555 
0201 

o848 
1495 

2l4l 

2788 
3434 

4o8o 

4727 
5373 
6019 
6665 

73 10 
7956 

8602 

9247 
9893 

o538 
1x83 
X828 
2473 
3ii8 

3763 
4408 
5o52 
5697 
634  X 

6986 
7630 
8274 
8918 
9362 

0206 
o85o 
1493 
2137 
2780 

3424 
4067 
4710 
5353 
5996 

6639 
7382 
7925 
8567 
9210 


1202 
i85o 

2498 
3x46 
3794 

4441 
5089 

5736 
6384 
7o3i 

7678 
8325 
8972 

9619 
0266 

00x3 
1 560 
2206 

2852 

3499 

4i45 

4791 
5437 
6o83 
6729 

7375 
8021 
8666 
93x2 
9957 

0602 
1248 
X893 
2538 
3i83 

3827 
4472 
51x7 
5761 
64o6 

7o5o 

7694 
8338 
8982 
9626 

0270 
0914 
1 558 
220X 
2845 

3488 
4i3x 
4775 
5418 
6061 

6704 
7346 
7989 
8632 
9274 


126711331 
i5  1979 


2563 

3210 

3858 

45o6 

5i54 
58oi 
6448 
7096 

7743 
83oo 
9037 
9684 
o33i 

0978 
1624 
227r 
3917 
3563 

42x0 
4856 
55o2 
6i48 
6794 

7439 
8o85 
873x 
9376 
♦022 

0667 

I3X2 

1957 

2602 

3247 
3892 

4537 

5i8i 
5826 
6470 

7114 

7759 
84o3 

9047 
9691 

o335 
0978 
1622 
2266 
2909 

3552 
4196 
4839 
5482 
6125 

6768 
74ix 
8o53 
8606 


2627 
3275 
3923 

4571 
52x8 
5866 
65x3 
7160 

7808 
8455 
9x02 
9749 
0395 

X042 
1689 
3335 
2982 
3628 

4274 
4920 
5367 
6212 
6858 

75o4 
8i5o 
8795 

9441 
0086 

0731 
1 377 
2022 
2667 
33x2 

3956 
4601 
5246 
5890 
6535 

7179 
7833 

8467 
9111 
9755 

0399 
X043 
x686 
233o 
2973 

3617 
4260 
4903 
5546 
6189 

6832 

7475 
81 18 
8760 


Difi: 


Difr.  &.  Mult. 


933819403 


2      3      4 


5      6     7      8     9 


I 

65 

2 

i3o 

3 

195 

4 

260 

5 

325 

6 

3oo 

7 

455 

8 

520 

9 

585 

I 

2 

3 

4 
5 
6 

7 
8 

9 


64 
128 

256 

320 

384 
448 

5l2 

576 


DiflT. 


DiflT.  A;  Mult. 


B 


ii"'i>"'"|'"'":^ilrt|!lpipj!B"f 


I 


100 


Num. 

mm 

6i 
62 
63 
64 

65 
66 
6: 


07 
68 


% 

6770 
71 

72 
73 

74 

75 
76 

77 
78 

79 

6780 
8t 

82 
83 

84 

85 
86 
87 
88 
89 

6790 

9< 
92 

93 

94 

95 
96 

97 
98 

99 

6800 
01 

03 
o3 

o5 
06 
07 
08 
09 

68  10 
II 

i3 
14 

1 5 
16 

17 
18 
19 

Nam. 


LOGARITHMS  OF  NUMBERS 


0 


2  3 


5  6   7   8   9 


•  9467 

83O0IO9 

0752 

i3q4 

2o36 

2678 

y|i''iJ  M%J 

396a 
46o4 

5245 


5887 

6528 

7169 

781 

8452 

n3 
4 
83,1  0375 
1016 
i656 

2297 
2937 
3578' 
4318 
4858 

54q9 
01 39 

6775 

74i8 

8o5« 

8608 

9337 

•  9977 

832  0616 

1255 

i8q5 

25j4 
3173 

38 1 2 
445o 

5089 

5728 
6366 

70o5 
7643 

8281 

^9^9 

#  9558 

833  0105 
o833 

1471 
2109 

2746 

3384 
4021 

4659 
5296 
5933 
6570 

7207 


9531 

0174 
0816 
i458 
2100 

2742 

3384 
4026 
4668 
5309 

5951 
6592 

7234 
7875 
85i6 

9157 

9798 
0439 
lobo 
1720 

236i 

3ooi 
3642 
4282 
4922 

»563 
6203 

6842 
7482 
8122 


9595 
0238 
0880 

l522 

2164 

2806 
3448 
4090 

47-32 
5373 

601 5 
6656 
7298 
7939 

858o  8644 

9221  9285 

9862  9926 
o5o3pD67 


9660 
o3o2 
0944 

1 587 

2229 

2871 
35i2 

4i54 
4796 
54J8 

6079 
6721 

7362 
8<X)3 


3875 
45i4 

5i53 
579 

64  3o 
7069 
7707 

8345 
8983 
96:^1 
0259 
0897 

1 535 
2173 
2810 
3448 
4o85 

4722 
536o 


ii44 
1784 

2425 
3o66 

3706 
4346 
4986 

5627 
6267 
6906 
7546 
8186 

8826 
9465 
oio5 
0744 
1 383 

ao22 

2662 
33oo 
3939 
4578 

5217 

5855 
6494 

7i3:^ 
7771 

8409 
9^x47 
9685 
o3p3 
0961 

1599 

2236 

2874 
35ii 
4149 

4786 
542  3 


5997J6060 
663416697 
7271  7334 


1208 
1849 

2489 
3 1 3o 

3770 
44io 
5o5o 

5691 
633 1 
6970 

7610 
8250 

8890 
9529 
0169 

o8t>8 
1447 

2086 
2725 
3364 
4oo3 
4642 

5281 
5919 
6558 
7196 
7835 

8473 
91 1 1 
9749 
o387 

I035 

1662 
23oo 
2938 
3575 
4212 

485o 
5487 
6124 
6761 
7398 


9724 

o366 
1009 
i65i 
2293 

2935 

3  m 
D77 

4218 

4860 

55o2 

6143 
6785 

7426 
8067 
8708 

9349 
9990 
o63i 
1272 
1913 

2553 
3194 
3834 
4474 
5ii4 

5755 
6395 
7034 

7674 
83 1 4 

8q54 
9393 
0233 
0872 
i5ii 

2i5o 
2789 

3428 

4067 
4706 

5345 
5983 

6622 
7260 

7898 

8537 
9175 
9813 
o45i 
1088 

1726 
2364 
3ooi 
3630 
4276 

4913 
555i 
6188 
6825 
7462 


9788 
043 1 
1073 
1715 
2357 

ao99 

364) 
4283 
4924 
5566 

6207 
6849  69 

7490  "  ^ 
8i3i 

8772 

94i3 

♦o54 
0695 
1 336 

1977 

2617 
3258 

38 

4538 

5178 

5819 
6459 

7098 
77^8 
8378 

9018 
9657 

02< 

0036 

1575 

33l4 

2853 
3492 

4i3i 
4770 

54o8 
6047 
6686 
7324 
7962 

8600 
9233 

9877 
o5i4 

Il52 

1790 

2428 
3o65 
3703 
4340 

4977 
56i4 
6>5i 
6888 
7525 


9852 
o4q5 
11 J7 

•779 
2421 

3o63 
3705 

4347 
4988 
563o 

6272 
i3 

7554 
8195 
8837 

9478 
0119 
0759 
i4oo 
204 1 

2681 

3322 

3962 

4602 
5242 

5883 
6523 

7162 
7802 
8442 

9081 
9721 


1000 
1639 

2278 
2917 

3556 
4'95 

4834 

5472 
61 1 1 
6749 
388 
8026 

8664 
9302 
9940 
0578 
1216 

1 854 
2491 
3129 
3766 
44o4 

5o4i 
5678 
63i5 
6952 
7589 


9017 
0559 
1 201 
1843 
2485 

3i27 
3769 
44n 
5o53 
5694 

6336 

6977 
7618 
8260 
8901 

9542 
oi83 
0823 
1 464 
2io5 

2745 
3386 
4026 

4fy66 
53o6 

5o47 
6587 
7226 
7866 
85o6 

9145 
9785 
0424 
fo64 
1703 

2342 
2981 
3620 

4259 
4898 

5536 

6175 
68i3 
7452 
8090 

8728 
9366 
♦oo4 
0642 
1280 

1918 
2555 
3193 
383o 
4467 

5io5 
5742 
6379 
7016 
7653 


0023 
1265 
19 
255o 

3192 

3833 

4475 
5il7 

5758 

6400 
7041 
7683 

8324 
8965 

9606 

0247 
0887 
1528 
2169 

2809 
345o 
4090 

47JO 

5371 

601 1 
665 1 

7290 
7930 
8570 

9209 

9849 
o48« 
1 1 28 

1767 

2406 
3o45 
3684 
4323 
4961 

56oo 
6239 

6877 
75i5 
81 54 

8792 
9430 
0068 
0706 
1 344 

1981 
2619 
3256 
3894 
453 1 

5 168 
58o6 
6443 
7080 
771 


♦o45 
0687 
i33o 
1972 

2Dl4 

3898 
4539 

5t8i 
5823 

6464 
7io5 

7747 
8388 
9029 

9670 
o3ii 
0952 

'% 

2233 

2873 

35i4 

4 1 54 
4794 
5435 

6075 
671 5 
7354 
7004 
8634 

9273 

9913 

o552 

II 

18: 


r92 
J3i 


2470 
3109 

374S 
4387 
5o25 

5664 
63o2 
6941 

7579 
8317 

8856 
9494 

Ol32 

0770 
1 407 

2045 
2683 
3320 
3958 
4595 

5232 

5869 

65o6 
7143 


61 7780 
01234         567     8~T 


Diff. 


64 


Diff. 


DiiH  &  Mult. 


I 

65 

3 

i3o 

3 

195 

4 

260 

5 

325 

6 

7 

4?? 

8 

520 

9 

585 

I 

2 

3 
4 
5 
6 

7 
8 


64 
128 
192 
256 
320 
384 
448 

5i2 

576 


Diff.  Sl  MuIu 


LOGARITHMS    OF     NUMBERS. 


101 


Num. 

6820 

21 

33 
23 
34 

35 

36 

37 
28 
29 

68  3o 
3i 

32 

33 

34 

35 
36 

37 
38 

39 

68  40 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

68  5o 
5i 

52 

53 
54 

55 
56 

57 
58 

59 

6860 
61 
62 
63 
64 

65 
66 

67 
68 

69 

6870 

71 
73 
73 
74 

75 
76 
77 
78 

79 
Nam. 


01234       '5     6789 


833  7844 
848o 
9117 

*  9754 

834  0390 

1027 
i663 
2299 

3?7, 

4207 
4843 

5479 
61 14 
6750 

7385 
8021 
8656 
9291 

*  9926 

835  o56i 
1196 
i83i 
2465 
3ioo 

3735 
4369 
5oo3 
5638 
6272 

6906 

7540 
8174 
8807 

*  9441 

836  0075 
0708 
i34i 

1975 
2608 

3241 
3874 
45o7 
5i4o 

5773 

64o5 
7o38 
7670 
83o3 
8935 

*  9567 
8370199 

o832 
1 463 
2095 

2727 
3359 
3990 
4622 
5253 


7907 

8544 
9181 
9817 
0454 

1090 
1726 
2363 

3§I 

4271 
4906 
5542 
6178 

68r3 

7449 
8084 
8719 

9354 
9990 

0625 
1259 
1894 

252 

3 16 

3798 

4432 
5067 
5701 
6335 

6969 

7603 
8237 
8871 
95o4 

oi38 
0771 
i4o5 
2o38 
2671 

33o4 
3937 
4570 
52o3 
5836 

6469 
7101 

7734 
8366 
8998 

963 1 
0263 
0895 
1 527 
2i58 

2790 
3422 
4o53 
4685 
53i6 


7971 
8608 

9244 
9881 
o5i7 

ii54 
1790 
2426 
3062 
3698 

4334 
4970 
56o6 
6241 

6877 

75l2 

8148 
8783 
9418 
♦o53 

0688 
i323 
1058 
2592 

3227 

386 1 
4496 
5i3o 
5764 
6398 

7033 
7666 
83oo 
8934 
9568 

0201 
o835 
1 468 
2101 

2735 

3368 
4001 
4634 
5267 
5899 

6532 

7164 

7797 
8429 

9062 

9694 
o326 
0058 
1590 

2223 

2853 
3485 

4117 
4748 
5379 


8o35 
8672 
9308 
9945 


o58i 

1217 
1 854 
2490 
3126 
3762 

4398 
5o34 
5669 
63o5 
6940 

7576 
821 1 
8846 
9481 
0117 

0751 
1 386 
2021 
2656 
3290 

3925 
4559 
5194 
5828 
6462 

7096 

7730 

8364 
8997 
9631 

0265 
0898 
i53i 
2 1 65 
2798 

343 1 
4o64 
4697 
533o 
5963 

6595 
7228 
7860 
8493 
9125 

9757 
0389 
1021 
i653 

2385 

2917 

3548 
4i8o 
48ii 
5442 


8098 
8735 
9372 
♦008 
0645 

1281 
1917 
2553 
3190 
3826 

446t 
5097 
5733 
6368 
7004 

7639 
8275 
8910 
9545 
0180 

081 5 
i45o 
2o85 
2719 
3354 

3988 
4623 

5257 
5891 
6525 

7159 
7793 
8427 
9061 
9694 

o328 
0961 
1595 
2228 
2861 

3494 
4127 
4760 
5393 
6026 

6658 
7291 
7923 
8556 
9188 

9820 
o452 
1084 
1716 
2348 

2980 
36ii 
4243 

4874 
55o6 


8162 

^79? 
943! 
0072 
0708 

1 345 
1981 
2617 
3253 
3889 

4525 
5i6i 
57q6 
64^2 
7067 

77o3 
8338 
8973 
9609 
0244 

0878 
i5i3 
2i48 

2783 

3417 

4o52 
4686 
5320 
5955 
6689 

7223 

7857 
8490 
9124 
9758 

0391 

1025 

i658 
2291 
2925 

3558 
4191 
4824 
5456 
6089 

6722 
7354 
7987 
8619 
9251 

9883 
o5i6 

ii47 

1779 

a4ii 

3o43 
3674 
43o6 

4937 
5569 


8226 
8862 

9499 
01 36 

0772 

1 408 
2045 
2681 

33i7 
3953 

4589 
5224 
586o 
64q6 
7i3i 

7766 
8402 
9037 
9672 
o3o7 

0943 

1577 
2212 
2846 
3481 

4ii5 

475o 

5384 
6018 
6652 

7286 
7920 
8554 
9188 
9821 

0455 
1(588 
1721 
2355 
2988 

3621 
4254 
4887 
5520 
6i52 

6785 

7417 
8o5o 

8682 
9314 

9?47 
0579 
1211 
1843 
2474 

3io6 
3738 
4369 
5ooi 
5632 


82898353 


8926 
9563 
0199 
o836 

1472 
2108 

2744 
338o 
4oi6 

4652 
5288 
5924 
655 

719 

783o 
8465 
9100 
9736 
0371 

ioo5 
1640 
2275 
2910 
3544 

4179 
48i3 

5447 
6081 
6716 

7349 
7983 
8617 
9251 
9885 

o5i8 
ii5i 
1785 

2418 
3o5i 

3684 

4317 
4950 
5583 
6216 

6848 
7481 
8ii3 
8745 
9378 

♦010 

0642 

1274 

19 

2538 


3169 
38oi 
4432 
5o64 
5695 


8990 
9626 
0263 
0899 

1 536 
2172 
2808 

3444 
4080 

4716 
535 1 
5987 
6623 
7258 

7893 
8529 

9164 

9799 
04U 

1069 
1704 
2338 
2973 
36o8 

4242 
4876 
55ii 
6145 
6779 

74i3 
8047 
8681 
9314 
9948 

o58i 

I2l5 

1 848 
2481 
3ii5 

3748 
438 1 
5oi3 
5646 
6279 

6911 
7544 
8176 
8809 
9441 

0073 
0705 
1 337 
1969 
2601 

3232 

3864 
4495 
5i27 
5758 


8417 
9053 
9690 
o327 
0963 

1599 

3235 

2872 
35o8 
4i43 

SII 

6o5i 
6686 
7322 

7957 
8592 
9227 
9863 
0498 

ll32 

1767 
2402 
3o37 
3671 

43o6 
4940 

5574 
6208 
6842 

7476 
8110 

8744 
9378 

♦Of  I 

0645 
1278 
.1911 
2545 
3178 

38ii 

4444 
5077 
5709 
6342 

6975 
7607 
8240 
8872 
95o4 

01 36 
0768 
i4oo 

2033 

3664 

3296 
3927 
4559 
5190 
5821 


0      1      2 


3      4 


5     6      7      8      9 


Ditr. 


Diff.  &.  Mult. 


Diff. 


I 

64 

3 

128 

3 

193 

256 

4 

5 

320 

6 

384 

7 

448 

8 

5l2 

9 

576 

I 

63 

2 

126 

3 

189 

4 

252 

5 

3i5 

6 

378 

7 

44i 

8 

5o4 

9 

567 

Diff.  dL  Molt. 


102 


LOGARITHMS  OF  NUMBERS. 


Num. 

82 

83 
84 

85 
86 

87 
88 
89 

6890 
91 
92 
93 
94 

96 

97 
98 

99 

69  00 
01 

02 
o3 
04 

o5 
06 
07 
08 
09 

6910 
II 

13 

i3 

i5 
16 

17 
18 
19 

6930 

31 

a3 
M 

aS 
36 

27 
aS 

6930 
3i 

33 

33 
34 

35 
36 

37 
36 
39 


0   12   3  4    5.  6  7  8   9  I  Diir. 


837  5884 
65 16 

7147 

7778 

8409 


5o48 
6579 
7210 
7841 
8473 


•  9670 

838  o3oi 

oo3i 

1TO2 


9039  9103 


3193 
3833 

3453 

4o83 
4713 

5343 
5073 
6002 
7332 
7861 

8491 
9120 

•  975o 
839  0379 


9733 

(>364 

0994 
1635 


6011 
6643 

7373 

7904 
8535 

9166 


97969859 


3355 

2886 

35 16 

4i46 

4776 

5406 
6o36 

6665 
7395 
7924 

8554 
9183 
9812 
0443 


0437 
1057 
1688 

23i8 
2949 
3579 


6074 
6705 
7336 
7967 
8598 

9339 


0490 

1 131 
I75I 

338i 

3oi3 
3643 


43094272 
4839  4902 

5469 
6098 
6728 
7358 
7987 

8617 


3533 
4i52 

4780 
5409 
6037 
6666 
7294 

7022 

855o 

9178 

•  9806 

840  0433 

1061 
1688 
23i6 
3043 
3571 


1008  1 071 

1637  1700, 
3266I2329 
3895  2957 


5532 
6161 
6791 
7421 
8o5o 


6 1 37 

6768 

«^?? 
8o3o 

8661 
9393 

oa53 
1184 
1814 

2444 
3075 
3705 
4335 
4965 

5595 
6324 
6854 
7484 
81 13 

8743 


6aoof6263 


683i 

7463 
8093 
8734 

9355 

0616 

1247 
1877 

2507 
3i38 
3768 
4398 
5o28 


3586 
42 1 5 

4843 

5472 
6100 


8680 
9246  9309  9372 
9875  9938  ♦001 
o5o5  0567  o63o 
1 1 34  1197  1259 

1763  1826  1888 
2392  2454  ^517 
3o2o3o83  3i46 
3649  ^7*  2  3775 
427843414403 


5658 
6287 
6917 

7547 
8176 

8806 
9435 


6894 
7525 
8i56 
8787 

9418 
♦049 
0679 
i3io 
1940 

2570 

320I 

383 1 
4461 
5091 


5721 
635o 
6980 
7610 
8239 

8860 
9498 


6326 
6957 
7588 
8219 
885o 

9481 
0112 
0742 
1 373 

3003 


6389 


3633 
3264 
3894 
4524 
5i54 


7020 
7653 
8283 
8913 

9544 
0175 
o8o5 
i436 
2066 


00640137 
0693I0756 


5784 
64i3 
7043 
7673 
83o2  8365 


2696 
3327 
3o57 
4587 
5217 

5847 
6476 
7106 
7736 


6336 


35 
6i63 
67286791  6854 
735774197483 


7985 
86i3 
9341 
9868 
0496 

1 1 24 
1751 
2379 
3ooo 
3633 


8047 


86758738 


93o3 

0559 

1186 
1814 
2441 


81 10 


9366 
9994 

0633 


5o32 
566o 

6389 
6917 

7545 

8173 
8801 
9439 
♦057 
0684 


l333 

I95I 
3580 
3309 

3838 
4466 

5095 
5723 
635i 
6980 
7608 

8336 
8864 
9493 
0119 

0747 
1375 

3003 

363o 
3357 
3884 


1 385 

20l4 

2643 
3273 
3900 
4539 


8931 

9561 
0190 
0819 

1448 

2077 

2706|27< 


8094 
9624 

02  53 
0882 
i5ii 

2i4o 


5»58 
5786 

64i4 
7043 
7671 

?=»99 

8937 

9554 
0183 


3335 
3963 
4593 

5220 
5849 
6477 
7io5 
7733 

836i 

9617 
0245 


0810108730935 


33 

4026 

4655 

5283 
5912 
654o 
7168 
7796 

8434 
9o53 

9680 
o3o8 


6453 
7084 
77i5 
8346 
8976 

9607 
0338 
0868 
1499 
3139 

2759 
3390 

4020 

465o 
5380 

5910 
6^39 
7169 

7790 
8428 

9057 
9687 
o3i6 
0945 
1574 

22o3 
2832 
3460 
4089 
4718 

5346 
5974 
66o3 
723i 
7859 

8487 
9115 
9743 
0371 
0998 

1626 

2253 

2881 

35o8 
4i35 


4198  4360 
4825  4888 
5453  55 1 5 

60796141 
67066768 

7333 
8 


9312 
•  9838 

84io465 
1091 


7395 
8033 
8648 
9375 
9901 


fi53 


6204  6367 


7458 
8084 
8711 
9337 

99^ 


1717I1780 
a343i34o6 
2969' 3o3i 


0537  0590 

I3l6 

1843 
3468 
3o94i 


68946956 


7530 
8147 
8773 


«oa6 

1379 

1905 
353 1 
3i57 


7583 

83IO 

8836 


94009463 


0089 

0715 
i34i 
1967 
3593 
3319 


7646 
8373 
8890 
9535 
01 5a 

0778 
i4o4 
3o3o 
3656 
3289 


7708  7771 
8335  8398 
8961  9024 
95889650 
oa  1 4  0377 


08400903 
1467  1529 
30933155 
371912781 
33441 3407 


7834 
8460 
9087 
9713 
0339 

0066 
092 
3318 

3844 

3470 


7896 
8533 

9149 

9776 

0403 

1038 
i654 
3380 
3906 
3532 


If  MB. 


0      1      234         56789 


Diff.  &  Mult. 


63 


I 

64 

2 

138 

3 

4 

192 
256 

5 

3  20 

6 

384 

7 

448 

8 

5l3 

9 

576 

Dim 


I 
a 
3 

4 
5 
6 

7 
8 

9 


63 
136 
189 

353 

3i5 
378 
44i 
5o4 
567 


Diff.  It  Mah. 


LOGARI.THMS     OF     NUMBERS. 


103 


Num. 

6940 

4i 
43 
43 
44 

45 
46 

47 
48 

49 

69  5o 
5i 

53 

53 
54 

55 
56 

57 
58 

59 

6960 
61 
6a 
63 
64 

65 

66 

67 
68 
69 

6970 

71 
73 

73 
74 

75 
76 

77 
78 

79 

6980 
81 
83 
83 
84 

85 
86 

87 
88 
89 

6990 

91 
92 

93 
94 

96 

98 
99 

Nttm. 


0      12      3     4 


5     6      7     8     9     1 


Diff. 


841  3595 

43  30 

4846 
5472 
6097 

6723 
7348 

7973 
8598 
9223 

♦  9848 
843  0473 

1098 
1722 

3347 

3971 
3596 
4320 
4844 
5468 

6092 
6716 

7340 
7964 
8588 

921 1 

*  9835 

843  o458 
io8i 
1705 

2338 
3951 
3574 
4197 
4819 

5442 
6o65 
6687 
73io 
7932 

8554 
9176 

•  9798 

844  0420 
1042 

1664 
2386 

3539 

4i5o 

4772 
5393 

6oi4 
6635 
7356 

7877 
8498 
9119 

*  9739 
845o36o 


3657 
4283 
4909 
5534 
6160 

6785 
7410 
8o36 
8661 
9286 

^35 
1 160 
1785 
2409 

3o34 
3658 
4282 
4907 
553i 

61 55 
6779 
74o3 
8026 
865o 

9274 
9897 
o52o 

II44 
1767 

2390 
3oi3 
3636 
4259 
4882 

55o4 
6127 

6749 

7372 

7994 

86t6 
9239 
986  r 
o483 
iio4 

1726 
2348 
2970 
3591 
42i3 

4834 
5455 
6076 
6697 
73i8 

7939 
856o 
9181 
9801 
0422 


3720 
4346 

4971 
5597 
6222 

6848 

7473 
8098 
8723 
9348 

0598 

1223 

i847 
2472 

3096 
3721 
4345 
4969 
5593 

6217 

6841 
7465 
8089 
8712 

9336 

59 
o583 

1 206 
1829 

2452 
3075 
3698 
4321 
4944 

5567 
6189 
6812 
7434 
8o56 

8679 
9301 
9953 
o545 
1167 

1788 
2410 
3o32 
3653 
4275 

4896 
55i7 
61 38 
6759 
738o 

8001 
8622 
9243 
9863 


3782 
4408 
5o34 
5659 
6285 

6910 
7535 
8161 
8786 
9411 

♦o36 
0660 
1285 
1910 
2534 

3i59 
3783 
4407 
5o3i 
5656 

6280 
6904 

75?7 

8i5 

8775 

9398 
♦022 
0645 
1268 
1892 

35i5 
3i38 
3761 
4383 
5oo6 

5629 
625i 
6874 
7496 
8119 

8741 
9363 
9985 
0607 
1239 

i85i 
2472 
3094 
3715 
4337 

4958 

5579 
6201 
6823 
7443 


3845 

4471 
5096 

5722 
6347 

6973 
7598 
8223 
8848 
9473 

009Q 
0723 
1 348 
1972 
2597 

3221 

3845 
4470 
5094 
5718 

6342 
6966 
7590 
82i3 
8837 

9461 
0084 
0707 
i33i 
1954 

3577 
3200 
3833 
4446 
5069 

5691 
63 14 
6936 
7559 
8181 

88o3 
9435 

♦047 
0669 
1 291 

1913 
2534 
3i56 
3778 
4399 

5o2o 
5642 
6363 
6884 
75o5 


3i 
4533 
5 1 59 

5784 
64io 

7035 
7660 
8286 
891 1 
9536 

0160 
0785 
i4io 
2o35 
2659 

3284 
3908 
4532 
5i56 
5780 

64o4 
7028 
7652 
8276 


3970 
4596 

5221 

5847 
6472 

7098 
7723 
8348 
8973 
9598 

0223 

o848 
1472 
2097 
2733 

3346 
3970 
4595 
5219 
5843 

6467 
7091 

77t4 
8338 


8899  896 


o484  o546 


8o63i8i26 
8684j8746 
93o5  9367 
99269988 


0608 


9523 
oi46 
0770 
1393 
2016 

2639 
3262 
3885 
45o8 
5i3i 

5753 
6376 
6998 
7621 
8243 

8865 

9487 
0109 
0731 
i353 

1975 
2597 
3218 
384o 
4461 

5082  5 1 45 


9585 
0209 
o833 
1455 
2079 

2702 
3325 
3948 
4570 
5193 

58 1 6 
6438 
7061 
7683 
83o5 


So 


8f 

9^ 
0172 

0794 

i4i5 

2o37 
3659 
3280 
3902 

4523 


5704 
6325 
6946 

7567 

8188 
8808 
9429 
♦o5o 
0670 


5766 
6387 
7008 
7629 

BaSo 
8870 
9491 
01 1 2 
0732 


4o33 
4658 
5284 
5909 
6535 

7160 
7785 
84n 
9o36 
9661 

0285 
0910 
1 535 
2160 
2784 

3408 
4o33 

4657 
5281 
5905 

6529 
7153 

7777 
84oi 

9024 

9648 
0271 
0894 
i5i8 

2l4l 

2764 
3387 
4oio 
4633 
5255 

5878 
65oo 
7123 

7745 
8368 

8990 
9612 
0234 
o856 
1478 

2099 
2721 
3343 
3964 
4585 

5307 
5828 

6449 
7070 
7691 

83i2 
8933 
9553 
0174 
0794 


4095 
4721 

5347 

972 

6597 

7223 

7848 
8473 
9098 
9723 

o348 
0973 
1597 
2222 
2846 

3471 
4095 

4719 
5344 
5968 

6592 

7215 

783. 

846 

9086 

9710 
o333 
0957 
i58o 

22o3 

2826 

3449 
4072 

4695 

53i8 

5q4o 
6563 
7i85 
7808 
843o 

9052 
9674 
0296 
0918 
1 540 

2161 
2783 
34o5 
4026 

4647 

5269 
5890 
65ii 
7i32 

7753 

8374 

9615 
0236 
o856 


4i58 
4784 
5409 
6o35 
6660 

7285 
7910 
8536 
9161 
9786 

o4io 
io35 
1660 
2284 
2909 

3533 
4i58 
4782 
5406 
6o3o 

6654 
7378 
7902 
8525 
9149 

9772 
0396 
1019 
1642 
2265 

2889 
35ri 
41 34 

4757 
538o 

6002 
6625 
7247 
7870 
8492 

91 14 
9736 
o358 
0980 
1602 

2224 
2845 
3467 
4088 
4710 

533i 
5952 
6573 

7194 
7815 

8436 
9057 
9677 
0298 
0918 


0 


3      4 


5      6      7      8      9 


Diff.  &  MulU 


I 
3 
3 

4 

5 
6 

7 
8 

9 


Diff. 


63 
136 
189 

352 

3i5 
378 
441 
5o4 
567 


I 

6a 

a 

124 

3 

186 

4 

248 

5 

3io 

6 

37a 

7 

434 

8 

4o6 

9 

558 

f 


Diff.  Sl  Mult. 


104 


LOGARITHMS  OF  NUMBERS 


Norn. 

TOOO 

oi 

03 

o3 
o4 

o5 
'06 
07 

09 

■7010 
ti 
la 
i3 
i4 

13' 
16 


0   1 


a 


5   6  7  8  9 


"  ''7 
18 

19 

70  ao 
21 
aa 
.a3 
M 

2S 
:a6 
17 
aS 
39 

70  3o 
3i 

33 
34 

35 
36 

37 
38 

3f 
70  4o 
4i 
42 
43 

ip'  ■' 

45 
46 

47 
48 

49 

70  5o 
5i 

5'2 

53 
54 

55 
56 

57 
58 
59 


645  0980 
1601 

aaai 

a84i 
3461 

4081 
4701 
5321 
5941 
656i 

7180 

7800 
84i 

^903. 
•  9658 


{o4a 
i663 
2i83 
2903 
35a3 

4 1 43 

4763 
5383 
6oo3 
66a3 

7242 
7862 
848 1 
9100 
9720 

846  0277  0339 
0896  oq58 


i5i5  I 
21 34  2 


2752  2814 


3371 

3 


5227 
5845 

6463 

7081 
7700 
83i8 
8935 


3433 
4o52 
4670 
5289 
5907 

65^5 
7143 

7761 

8379 
8997 


8470171 
0789 
i4oo 
2oa4 

2641 

3876 
4493 
5 1 10 

5727 
6343 
6960 
7577 
8193 

8810 
9426 
8480043 
0659 
1275 

1891 

25o7 
3i23 
373 
435 


96159677 
02330295 
o85o 
1 468 
2o85 


>77 
1196 


iio4 
1725 
2345 
5 
85 


296 

358 


42o5 
4825 
5445 
6o65 
6685 

73o4 
7924 
Ji543 
9162 
9781 

o4oi 
1020 
1639 
2257 
2876 

3495 
4ii3 
4732 
535o 
5969 

6587 
72o5 
7823 
8441 
9059 


1167 
1787 
2407 
3027 
3647 

4267 
4887 
5507 
6127 
6746 

7366 
7986 
S6o5 
9224 
9843 

0462 
1082 
1700 
3319 
2938 

3557 

4175 

4794 
5412 
6o3f 

6649 
7267 

7885 
85o3 
912 


2703 
3320 
3937 

4554 
5171 

5788 
64o5 
7022 
7639 
8255 

8872 
9488 
oio4 
0721 
1 337 

io53 

25r 

3i8 

38oo 

44i6 


0912 

53o 

2147 

2764 
3382 
3. 

40 1 
5233 

58  5o 
6467 
7084 

7700 
83i7 

8q33 
9550 
0166 
0782 
1398 

2ot4 
263o 
3246 
3862 
4478 


4970 
5586 
6201 


9739  98* 

o356 

0974 

1591 

2209 


1229 

1849 
2469 
3089 
3709 

4329 
4 

6189 
6808 

74a8 
8047 
8667 
9286 
9905 

o524 
1143 
1762 
338i 
3ooo 

3619 
4237 
4856 

5474 
6092 

671 1 
7329 

7947 
8565 
9(83 


5o32  5093 
5647  5709 
6263j6324 
6817687816940 
7432  7493  7555 


2826 
3443 
4061 
4678 
5295 

5912 
6528 
7145 

7762 
8378 

8995 
9611 
0228 

0844 
1 460 

2076 
269a 
33o8 
3924 
4539 

5i55 
5770 
6386 
7001 
-t6i6 


00 
6418 
io36 
1 653 
2271 

2888 
35o5 

4l22 
4739 

5356 

5973 
6590 
7207 
7824 
844o 

9057 
9673 
0289 
ooo5 

l522 

2i38 
2754 
3369 
3o85 
4601 

5216 
5832 

6447 
7063 
7678 


1 291 

7V 

253i 
3i5i 

3771 

4391 
5oi  I 
563 1 
6251 
6870 

7490 

8109 

872- 

934! 

9967 

o586 

I2o5 

1824 

2443 

3o62 

368o 
4299 

49»7 
5536 

61 54 

6772 
7391 
80C19 
8626 
9244 

9862 
o48o 
1097 
171 5 

2332 

2950 
3567 

4r84 
48oi 
54i8 

6o35 
6652 
7269 
7885 
85o2 

9118 
9735 
o35i 
0967 
1583 

:^?? 

343 1 

4o47 
4662 

5278 
5893 
65o9 
7124 

7739' 


i353|i4i5ji477 
1973  2o35  2097 


2593 
32 1 3 
3833 

4453 
5073 
5693 
63 1 3 
6932 

7552 

8171 
8791 
9410 
♦029 

o648 
1267 
1886 
25o5 
3i24 

374a 
436 1 

5598 

62x6 

6834 
7452 
8070 
8688 


2655 
3275 
3895 

45i5 
5 1 35 
5755 
6375 
6994 

7614 
8233 
8853 
9472 
0091 

0710 

j32 

194 

2367 

3i86 

38o4 
4423 
5o4i 
566o 
6278 

6896 

75i4 
8i39 

87S0 


3oii 
3629 
4246 
4863 
5480 

6097 
6714 
733o 

7947 
8563 

9180 
9796 
o4ia 
1029 
1645 

2261 
2877 
3493 
4io8 
4724 

5340 
5955 
6570 
7186 
7801 


9306  9368 

9924 
o542 
1159 

1777 
2394 


6 

3 

1221 

1 838 

2456 

3073 
3690 
43o7 
4925 
5542 

61 58 
6775 
7392 
8009 
8625 

9241 
9858 

0474 
(090 
1706 

2322 
2938 

3554 
4170 
4786 

5401 
60T7 

6632 

7247 
7862 


2717 
3337 
3957 

4577 
5197 
58i7 
6437 
7o56 

7676 
8295 
8915 
9534 
oi53 

0772 
1391 
2010 
2629 
3247 

3866 

5io3 
5721 
634o 

6958 

7576 
8194 
8812 
943© 

♦o47 
o665 
1283 
1900 
25i8 

3i35 
3752 
4369 
4986 
56o3 

6220 
6837 

7454 
8070 
8687 

93o3 

II  52 

1768 

2384 
3ooo 
36i6 
423 1 
4847 

5463 
6078 
6693 
7309 
7924 


1539 
2159 
2779 
3399 
4019 

4639 
5259 

"879 
6499 
7118 


7738 
8357 
8976 
9596 

02l5 

o834 
1453 
2072 
2691 
3309 

3928 
4546 
5i65 
5783 
64oi 

7020 
7638 
8256 
8874 
9491 

0109 

0727 

1 344 
1962 
2379 

3197 
38 14 
443 1 
5o48 
5665 

6282 
6899 
75i5 
8i32 
8748 

9365 
9981 
o§97 

I2l3 

i83o 

2446 
3o6i 

3677 
4293 
4909 

5524 
6i4o 
6755 
7370 
7985 


DiflT. 


0123     4        56789 


63 


Diff. 


Diif.  &  Malt. 


I 

63 

2 

126 

3 

189 

4 

252 

5 

3i5 

6 

378 

7 

44 1 

8 

5o4 

9 

567 

I 

62 

3 

124 

3 

186 

4 

248 

5 

3io 

6 

372 

7 

434 

8 

4o6 

9 

558 

DiflT.  &  Mult. 


LOGARITHMS     OF     NUSIBERS 


105 


Num. 

7060 

61 
62 
63 
64 

65 
66 

67 
68 

69 

7070 
71 
72 
73 
74 

75 
76 

77 
78 

79 
7080 
81 
83 
83 
84 

85 

86 

87 
88 
89 

7090 
91 

03 

94 
96 

98 
99 
71  00 
01 
oa 
o3 
04 

o5 
06 
07 
08 
09 

71  10 
II 
12 
i3 
14 

i5 
16 

17 
18 

19 

Num. 


01234         56789 


Diff. 


848  8047 

8662 

9277 

#   9892 

849  o5o7 

1122 
1736 
235 1 
2o65 
358o 


4194 
4808 
5423 
6037 
665 1 

7264 
7878 
8492 
9106 

#  9719 

85oo333 
0946 
,559 
2172 
2786 

3399 
4oii 
4624 
5237 
585o 

6462 

7075 
7687 
83oo 
8912 

#  9524 
85i  oi36 

0748 
i36o 
1972 

2583 
3195 
3807 
44f8 
5o3o 

564i 
6252 
6863 
7474 
8o85 

8696 
9307 

#  99^7 
852  0528 

1 139 

1749 
2359 
2970 
358o 

419Q 


8109 
8724 
9339 

9954 
o568 

ii83 
1798 
2412 
3027 
364 1 

4256 
4870 
5484 
6098 
6712 

7326 

7940 
8553 
9167 
9780 

0394 
1007 
1621 
2234 
2847 

3460 
4073 
4686 
5298 
591 1 

6524 
7i36 

7749 
836i 

8973 

9585 
0197 
0809 

l42I 

2o33 

2645 
3256 
3868 

4479 
5091 


5702 
63i3 
6924 
7535 
81 46 

8757 
9368 

9979 
0589 

1200 

1810 
2420 
3o3i 
364 1 
425i 


8170 
8785 
9400 
♦01 5 
o63o 

1245 
1859 
2474 
3o88 
3703 

43i7 
4931 

5545 
6159 

6773 

7387 
Soot 
861 5 
9228 
9842 

0455 
1069 
1682 
2295 
2908 

3521 
4i34 

4747 

536o 
5972 

6585 

7197 
7810 

8422 

9034 

9646 

02  58 
0870 
1482 
2094 

2706 
33i7 
3929 
4540 
5i52 


5763 

6374 
6985 
7596 
8207 

8818 
9429 
♦o4o 
o65o 
1 261 

1871 
2481 
3092 
3702 
43i2 


8232 
8847 
9462 
0077 
0691 

i3o6 
1921 
2535 
3i5o 
3764 

4378 
4993 
5607 
6221 
6835 

7449 
8062 
8676 
9290 
9903 

o5i7 
ii3o 
1743 
2356 
2969 

3582 
4195 
48o8 
5421 
6o34 

6646 
7259 
7871 
8483 
9095 

9708 
o32o 
0932 

1 544 

2i55 

2767 
3379 
3990 
4602 
52i3 


5824 
6435 
7046 
7657 
8268 

8879 
9490 
oioi 
071 1 

l322 

io32 
2542 
3i53 
3763 
4373 


8293 
8908 
9523 
oi38 
0753 

1 368 
1982 
2597 

32JI 

3826 

4440 
5o54 
5668 
6282 
6896 

75io 
8124 

8737 
9351 
9965 

0578 
1 191 
i8o5 
2418 
3o3i 

3644 
4257 
4869 
5482 
6095 

6707 
7320 
7932 
8545 
9157 

9769 
o38i 
0993 
i6o5 
2216 

:^828 
3440 
4o5i 
4663 
5274 


5885 
6496 
7108 
7719 
8329 

8o4o 
9551 
0162 
0772 
i383 

1993 
2604 
32i4 
3824 
4434 


8355j84i6 
89709031 
9585  9646 


0199 
0814 

1429 
2044 
2658 
3273 
3887 

45oi 
5n5 

5730 

6344 
6958 

7571 
8i85 
8799 
9412 
♦026 

0639 
1253 
1866 

2479 
3092 

3705 
43i8 
4931 
5543 
6i56 

6769 
738 1 
7993 
8606 
9218 

9830 
0442 
io54 
1666 
2278 

2889 
35oi 
4ii2 

4724 
5335 


5946 
6558 
7169 
7780 
8391 

9001 
9612 
0223 
o833 
1444 

2o54 
2665 
3275 
3885 
4495 


0261 
0876 

1490 
3io5 
2720 

3334 
3948 

4563 

5i77 
5791 
64o5 
7019 

7633 

8246 
8860 

9474 
0087 

0701 
i3i4 
1927 
2540 
3i53 

3766 
4379 
4992 
56o5 
6217 

683o 
7442 
8o55 
8667 
9279 

o5o3 
iii5 
1727 
2339 


35o 

362 

4174 

4785 
5396 


6008 

6619 
723o 
7841 
8452 

9062 
9673 
0284 
0894 
i5o5 

2Tl5 

2726 
3336 
3o46 
4556 


8478 
9093 
9708 

o322 
0937 

1 552 
2167 
2781 
3396 
4oio 

4624 
5238 
5852 
6466 
7080 

7694 
83o8 
8922 
9535 
0149 

0*762 
1375 
1988 
2602 
32i5 

3828 
4440 
5o53 
5666 
6279 

6891 
75o4 
8116 
8728 
9340 

9952 
o564 
1176 
1788 
2400 

3oi2 
3623 
4235 
4846 

5457 

6069 
6680 
7291 
7902 
85i3 

9124 
9734 
o345 
0955 
1 566 

2176 

2787 
3397 
4007 
4617 


8539 
9154 
9769 
o384 
0999 

i6i3 
2228 
2843 

3457 
4071 

4686 
53oo 

5914 
6528 
7142 

7755 
836 

9596 
0210 

0823 

1437 
2o5o 
2663 
3276 

3889 
45o2 
5ii5 
5727 
634o 

6952 
7565 

8177 
8789 
9402 

♦oi4 
0626 
1238 
1849 
2461 

3073 
3684 
4296 

4907 
5519 

61 3o 
6741 
7352 
7063 
8574 

9185 

9795 
o4o6 
1017 
1627 

2237 
2848 
3458 
4068 
4678 


8601 
9216 
983 1 
0445 
1060 

1675 
2289 
2904 
35i8 
4i33 

4747 
536i 

5975 

6589 

7203 

7817 
843i 

9044 
9658 
0271 

o885 
1498 
2111 
2724 
3337 


?5o 

)63 

5176 

5788 

16401 

7014 
7626 
8238 
885i 
9463 

0075 
0687 
1299 

lOII 
2522 

3i34 
3746 
4357 
4968 
558o 

6191 
6802 
74i3 
8024 
8635 

9246 
9856 
0467 
1078 
1688 

2298 
2909 
3519 
4129 
4739 


0       1 


3      4 


5      6      7      8*     9 


Diff.  &  Molt. 


I 

63 

2 

124 

3 

186 

4 

248 

5 

3io 

6 

372 

7 

434 

8 

496 

9 

558 

61 


Diff. 


1 

61 

2 

122 

3 

i83 

4 

244 

5 

3o5 

6 

366 

7 

427 

8 

488 

9 

549 

Diff.  &  MttiL 


14 


106 


31 

aa 

aS 
a6 
a? 
28 

29 

71  3o 

3i 
3a 
33 
34 

35 
36 
37 
38 
39 

■71  4o 

4i 

•  43 

43 

44 

46 

4? 

49 

71  5o 
5i 
5a 

54 

55 
56 

57 

IJCl 

59 

71 60 
61 
62 
63 
64 

65 
66 
67 
68 
69 

71  70 
71 

7a 

73 
74 

75 
76 

77 
78 
79 


LOGARITHMS  OF  NUMBERS. 


Muaw  0 


2      9      4 


5     6     7 


8     9 


85a  4800 
5410 

6oao 
6629 
7239 

7849 
8458 
9068 

•  9677 
853  0286 

0895 
i5o4 
2n3 

2722 
333 1 

3940 
4S8 
5i57 
5765 
6374 


7 
8198 

8807 

y^i "  *i 

854  cx>2a 
o63o 
1 238 
1845 

a453 

3668 

42 

488a 

^5489 

6096 

6703 
73io 

7917 
85a4 

91 3o 

#  9737 

855  o343 
0950 
J  556 

ai62 

2768 

3374 

3 

4 

5192 

5797 
64o3 
7008 
7614 

8219 
8824 
9421 

856  oo3 
0640 


66906751 
7300  736 1 


5983: 


7543- 


9191 

9797 

o4o4 
1010 
1616 

2223 
2829 
3435 

4o4i 
4646 

5252 

5858 
6463 
7069 
7674 


8o32 


899250 


1017  1078 
1626 

2235 

2844 
3453 


4062 
4670 
5a79 
5887 
6495 


oi44 
0752 
1359 
1967 
a§74 

3i8a  3a43 

3789  385o 


4397 
5oo4 
56if 

6ai8 
66a5 

7432 
8o38 
8645 

9252 
9858 

o464 
1071 
1677 

2283 
2889 
3495 
4ioi 

4707 

53i3 

5918 
6524 
7129 

7735 

834o 
8945 
9550 
01 56 
0761 


1687 
2296 
2905 
35i4 


7165 

7773 
838i 
8c 


0205 

o8ia 

1420 
2028 
a635 


4457 
5o64 
5671 

6278 
6885 

7492 


9312 

o525 
ii3i 
1738 


2344 
2950 
3556 
4162 
4766 


7190 

7795 

8401 
9006 
9611 
0216 
0821 


8093 
8702 
93ii 

odJo 

II39 
1748 
2357 
2966 

3575 

4i83 
479a 
5400 
6009 


0265 

0873 
i48i 
2088 
2696 


5ia5 

573a 

6339 
6946 
7553 
8160 

8766 

9373 


24o4 
3oio 
36i6 
42aa 
48a8 

5434 


846  f 
9066 
9672 

0277 
0882 


5io5 

5715 

632 

6934 

7544 


5166 
5776 
516386 
6995 
7005 


8i53 
8763 
9372 
9082 
0591 

1200 
1809 

2418 
3027 
3635 


3696 

43o5 
4914 

5522 

6070  61 3o 


4244 
4853 
5461 


60786739  6800  6660  692 


7286 

7894 
85o2 
91 10 
9718 

0326 
0934 
1 542 
2149 

2757 

3364 

3971 

4579 
5i86 

5793 


7007 

7614 
6a2o 
8827 


0646 
1253 
1859 


5494 
6100 
6706 
73ii 
7916 

8522 

9127 

9732 

0337 
0942 


8ai4 
8824 
9433 
♦042 
o652 

1 261 

1870 


7347 
7955 
8563 
9171 
9779 

0387 

X5 
2 
2210 
2817 

3425 
4o32 
4639 

5247 
5854 


6400  6461 
7067 


7674 
8281 
8888 


94339494 
♦o4o 


OIOI 

0707 
i3i3 
19191 


2465 
3071 
3677 
4a83 
488914949 


25a6 
3i32 

3738 
4343 


5555 
6161 
6766 

7372 

7977 

8582 
9187 
9793 
0398 
1002 


5227 

5837 


64476508 


7o56 
766677 


8275 
8885 
9494 
oio3 
0713 

l322 

1931 
2540 
3i48 
3757 

4366{44a7 
5o35 


-74 
i83 


6 1 91 


74o8 
8016I8077 

8624 
9232 
9840 


o448 
I  ©56 
i663 
2271 
2878 

3486 
4093 
4700 
53o7 
5914 

6521 
7128 
7735 
8342 
8948 


0161 
0768 

1 374 
1980 


2586 
3192 
3798 
4404 
5oio 


5288 
5898 


7117 
27 


8336 
8946 
9555 
0164 

0773  0834 


1443 

2052 

2661 

3209  3270 


1 383 
2600 


38i8 


5644 
6252 


8685 
9293 
9901 


5349 
5959 
6568 

7178 
7788 


8397 
9007 
9616 
0225 


3879 

4488 
5096 
5705 
63i3 


74697530 


8i38 
8746 
9354 
9962 

0569 

1177 
1785 
2392 


o5o9 

illO 

1724 
233 1 
20393000 

3546  36o7 
4i5442i4 
4761  4822 
5368  5429 
59756036 


6582 


7796 
8402 
9009 

95559615 
oaaa 

0828 
1435 
2041 


2647 
3253 
385o 


6643 


71897249 
7856 
8463 
9070 

9676 
0283 

0689 
1495 
2101 


2707 
33i3 
39^ 


44654525 
5070  5i3i 


56i6  5676  5737 
6221  6282  6342 
6827  6887  6048 
7432  7493  7d53 
803780988159 

8643  8703  8764 
9248  9308  9369 

9853|99i4  9Q74 
o458  05190579 
io63'ii23  1184 


0   1  2»  3  4 


5  6  7  8   9 


Diir. 


DiflT.  A,  Mult. 


I 

a 
3 

4 
5 
6 

7 
8 


1 

a 
3 

4 
5 
6 

7 
8 


61 

123 

i83 

^44 
3o5 
366 

427 
488 

549 


60 
120 
180 
a4o 
3oo 
36o 
4ao 
480 
540 


DiflT. 


Difr.&  Mult. 


Num. 

7180 

81 
82 
83 
84 

85 

86 
87 
88 

89 

7190 

9* 

91 
93 

94 

96 

97 
98 

99 

7200 
01 
02 
o3 
o4 

o5 

06 

07 
08 
09 

72 10 
II 

13 

i3 

i4 

i5 
16 

17 
18 
19 

71  ao 
ai 
22 

23 

34 

25 

26 

27 

28 

29 

72  3o 
3i 

32 

33 

34 

35 
36 

37 
38 
39 

Num. 


LOGARITHMS     OF    NUMBERS. 


107 


01234         56789 


850i244{i3o5 
1849  191  o 


2454 
3o59 
3663 

4268 
4873 

5476 
6081 
6685 

7289 

7893 

8497 
9101 

•  9704 

857o3o8 
0912 
i5i5 

2118 

2722 

3325 

3928 
453i 
5i34 

5737 

634o 
6943 
7545 
8i48 
8750 

9353 

#  9955 
858  0557 

1 159 
1761 

2363 
2965 
3567 
4169 

4770 

5372 
5973 
6575 
7176 

7777 

8379 

8980 

♦  9§8i 
8590181 

0782 

1 383 
1984 
2584 
3i85 
3785 

4385 
4986 
5586 
6186 
6786 


25i4 
3119 
3724 

4328 
4^33 
5^37 
6f4i 
6745 

7349 
7953 
8557 
9161 
9765 

o368 
0972 
1575 
2179 
2782 

3385 
3988 
4591 
5194 

5797 

6400 

70o3 
7605 
8108 
8810 

94i3 
♦01 5 
0617 
1220 
1822 

2424 
3o25 
3627 
4229 
483 1 

5432 
6o34 
6635 
7236 

7837 

8439 
9040 
9641 
0242 
0842 


1 365 

1970 
2575 
3i8o 
3784 

438o 
499J 
5597 
6202 
6806 

74io 

8oi4 
86i8 
9221 
9825 

0429 

io32 
i636 
2239 
2842 

3446 
4049 
4652 
5255 
5858 

646o 
7063 
7666 
8268 
8871 

9473 
0075 
0678 
1280 
1882 

2484 
3o86 
3687 
4289 
4891 

5492 
6094 
6695 
7296 
7898 

8499 
9100 
9701 
o3o2 
0902 


1443  i5o3 


2044 
2644 
3245 
3845 

4445 
5o46 
5646 
6246 


2104 
2704 
33o5 
3905 

45o5 
5io6 
5706 
63o6 


68466906 


1426 
2o3i 
2635 
3240 
3845 


444cf  4509 
5ii4 

5718 

6322 

6926 


5o53 
5658 
6262 
6866 

7470 
8074 
8678 
9282 
9885 

o48o 
1093 
1696 
2299 
290J 

35o6 
4109 
4712 
53i5 
5918 

6521 
7123 
7726 
8329 
8931 

9533 
oi36 
0738 
1 340 
1942 

2544 
3i46 

3748 

4349 
4951 

5552 
6i54 
6755 
7357 
7958 

8559 
9160 
9761 
o362 
0962 

i563 
2164 
2764 
3365 
3965 

4565 
5i66 
5766 
6366 


i486 
2091 
2696 
33oi 
3905 


753 1 
8i34 
8738 
9342 
9946 

0549 
ii53 

1756 
236o 
2963 

3566 
4(69 

4772 
5375 
5978 

658i 
7184 
7786 
8389 
8991 

9594 
0196 
0798 
i4oo 
2002 

2604 
3206 
38o8 
4409 
5oii 

56i3 
6214 
681 5 

7417 
8018 

8619 
9220 
9821 
0422 

I023 

1623 

2224 

2824 
3425 

4o25 

4625 
5226 
5826 
6426 


696617026 


1 547 

2l52 
2756 

336i 
3965 

4570 

5i74 
5770 
6383 
6987 

7591 
8195 

8799 
9402 

♦006 
0610 

I2l3 

1817 
2420 
3o23 

3627 
423o 
4833 
5436 
6o38 

664i 
7244 
7847 
8449 
905 1 

9654 
02  56 
o858 
1 460 
2062 

2664 
3266 
3868 

4470 
5071 

5673 
6274 
6876 

7477 
8078 

8679 
9280 

9881 

0482 

io83 

i683 
2284 
2884 
3485 
4o85 

4685 
5286 


1607 
2212 
2817 
3421 
4026 

463o 
5235 

5839 
6443 
7047 

765 1 
8255 
8859 
9463 
00670127 

0730 
1 334 
1937 
2541 
3i44 


0670 
1274 

1877 
2480 
3o84 

3687 
4290 
4893 
5496 
6099 

6701 
73o4 
7907 
8509 
9112 

9714 
o3i6 
0918 

1321 
2123 

2724 
3326 
3928 

453o 
5i3i 

5733 
6334 
6986 

7537 
8i38 


1668 
2273 
2877 
3482 
4086 

4691 
5295 

5899 
65o4 
7108 

7712 
83 16 
891 
952 


1728 
2333 

2938 
3542 
4i47 

475i 
5356 
5960 
6564 
7168 

7772 
8376 
8980 
9584 
0187 

0791 

1894 
1998 
2601 
32o4 

3807 
44ii 
5oi4 
56i6 


3747 
435o 

4953 

5556 

6159  6219 


6762 

7364 

7967 
8570 

9172 

9774 

0877 

2i83 

2785 
3387 
3988 
4590 
5192 


1789 
2394 
2998 
36o3 
4207 

4812 
5416 
6020 
6624 
7229 

7832 
8436 
9040 

9644 
0248 

o85i 

r455 
2o58 
2661 
3265 

3868 

4471 
5074 

5677 
6280 

6882 
7485 
8088 
8690 
9292 

9895 

0497 
1099 
1 701 
23o3 

2905 
35o7 
4109 
4710 
53i2 

5913 
65i5 
7116 

7717 
83i8 

8919 
9520 
0121 
0722 
1 323 

1924 
2024 
3i25 
3725 
4325 

4926 
5526 
6126 
6726 
7086  7146I7206  7266'7326 


6822 
7425 
8027 
863o 
9282 

9835 
0437 
1089 
i64i 
2243 

2845 

3447 
4o48 
465o 

5252 


5793  5853 
6394:6455 
699617056 

75977657 
81988258 

8739  8799  8859 

9400J9460 

0061 

0662 

1263 


9340 
9941 
od42 

1143 
1743 

2344 
2944 
3545 
4i45 

4746 
5346 


♦001 
0602 

I2o3 


Dim 


i8o3|i863 
2404 1 2464 
3oo5  3o65 
36o5'3665 
42o5|4265 

48o6!4866 
5406  5466 
60066066 


5886  5946 
6486'6546l66o6  6666 


0      12      3      4 


5      6 


8     9 


Diff.  k.  Mult. 


60 


I 
2 

3 

4 
5 
6 

7 
8 


I 
a 
3 

4 
5 
6 

7 
8 


61 
12a 
i83 
244 

366 
427 
488 
549 


60 
120 
180 
240 
3oo 
36a 
4ao 
480 
540 


DiflT. 


Diff.  &,  Mult. 


|i. >■>*. 


ili 


III 


f 

k 

j 


108 


LOGARITHMS  OF  NUMBBBS. 


i 


NtlRL 

4i 

45 
46 

4? 
4^ 

49 

5 1 

Si 
53 
54 

55 
'56 

5? 
58 

59 

7260 
61 
62 
63 
64 

65 
66 
67 
68 
69 

72  7O' 

71 

72 

.73 

74 

75 
76 

77 
78 

79 
7280 
81 
82 
83 
84 

85 

66 

87 
88 

89 

7290 

91 

9^ 
93 

94 

95 

96 
97 
98 

99 

JN'ttflDtk 


0   12   3  4    5  6  7  8  9 


859  7386 
7985 
8386 
9185 

• 


9784  9844 


86oo384 

0983 

1 583 

2183 

.  2781 


7446 
8045 
8645 
9245 


338o 
3979 
4578 

5 1 77 

5776 

6374 
6073 

7371 
8170 
8768 


o444 
1043 
1643 
3343 
284 1 

3440 

40  io 

4638 

5337 
5835 

6434 
7o33 
763 1 
822 
882 


•  99^4 

861  0562 

1160 

1758 


2356 
2954 
3a53 
4149 
4747 


93669426 

♦024 
0622 
1 320 
t8i8 


54o4 
6cx>i 


5344 

5941 

65396598 
71 36 
7733 


833o 

8927 

•  9324 

862  01 2 1 

0717 

i3i4 

lOIO 
2507 

3io3 
3699 

4396 
4893 
5488 
6084 
6680 

7275 

7871 

8467 

9063 

«  9658 

863  0253 
o848 
1443 
2039 
2634 


2416 
3or4 
36ii 
4209 
4806 


75o6 
8io5 
8705 
93o5 
9904 

o5o4 
iio3 

1702 

3302 
2901 

35oo 
4099 
4698 
5297 
5895 

6494 
7093 
7691 
828c 
8888 

9486 
0084 
0682 
1280 

1878 

3476 
3073 
3671 
4369 
4866 

5464 
6o6r 
6658 
7255 
7853 

8449 
9046 

9643 

024c 

o837 

1433 
2o3o 
9626 

3323 

3819 

4355  44 1 5 


756617626 
8i658335 
87658825 
9365|9425 
9964  ♦024 


o564o624 
I  i63'i223 


4951 
5547 
6143 


67396799 


5oii 
5607 
6203 


7335 
793 1 
8526 
9122 

9717 

o3i2 
0908 
i5o3 
2098 
2693 


7394 
7990 
8586 
918 

9777 

0372 
0967 
1 562 
2i58 
2753 


1763 

3362 

2961 

356o 
4i59 
4-58 
5356 
5955 

6554 

7 1  52 

775 1 


1832 
2432 

302I 

3620 
4319 
4817 
5416 
6oi5 

66i4 
7313 
781 1 


8349  8409 


8947 


0144 
0743 
i34o 
1938 


3536 
3i33 
373 1 
4328 


5523 
6121 
6718 
73i5 
7912 


9007 


9546  9605 

0204 

0802 
i4oo 

1997 


3595 
3193 

3791 

4388 


4926  4986 


5583 
6180 

6778 
7375 
7972 


85o9 
9106 
9703 
o3cx) 


8569 
9160 
9762 
0359 
08960956 


1493 
3089 
2686 
3282 
3878 

4474 
5070 
5666 
6262 
6858 

7454 
8<>5o 
8645 
9241 
9836 

o433 
1027 
1622 
3217 
2812 


i553 
2149 
2745 
3342 
3938 

4534 
5i3o 
5726 

6332 

6918 

75i4 
8109 
8705 
9300 
9896 

0491 
1086 
1682 

2277 
2872 


774617806 

84o5 

9(X)5 
9605 

O304 


7686 

8285 

8885 
9485 
0084 

0684 
1283 
1882 
2481 
3o8i 

368o 
4279 
4877 
5476 
6075 

6673 

j  7372 
7870 
8469 
9067 

9665 
0263 
0861 
1459 
3o57 

3655 
3253 
38  5o 
4448 
5o45 

5643 
6240 
6837 
7434 
8o3i 

8628 
9225 
9822 
0419 
1016 

l6l3 

2209 

2805 

34oi 
3997 

4594 
5ioo 
5786 
6382 

6977 

7573  7633 
8169822b 
8764  8834 
93609419 
~~  ♦01 5 


8345 
8945 
9545 
01 44 

0744 
1 343 
1942 
v54i 
3i4o 

3739 
4338 

4937 
5536 
6i35 

6733 

7.332 
7930 
8539 
9137 

9735 
o333 

0031 

i5i9 
2117 

2715 
33 1 3 
3910 
4^08 
5io5 

5703 
63oo 
6897 

7494 
8091 

8688 
9285 
9882 

0479 
1075 

1673 
3268 
3865 
346i 
4o57 

4653 
5249 
5845 

644 1 

7037 


o8o3 
i4o3 

?0O3 

2601 

3300 


9955 

o55f 
ii46 
1741 
2336 
2931 


7866 
8465 
9065 
9665 
0264 

o863 
1 463 
3062 
3661 
3260 


371 
439 

4997 
5596 
6195 

6793 

7395 

8588 
9187 


9785 
o383 
098J 

1 579 

2177 

2775 
3373 
3970 
4567 
5i65 


0923 

1333 

3132 
2721 
3320 


99  3859 

iq8  4458 
5o57 
5656 
6254 

6853 
7453 
80  5o 
8648 
9247 


9845 
0443 
io4i 
1639 
2237 

2834 
3432 
4o3o 
4637 

5225 


5762  5822 
63606419 
6957 
7554 


7016 

7614 
8211 


8i5i 

8748 
9345 

ii35 
I73i 

2338 

.934 

3520 
4117 

47i3|4772 
5309!  5  368 
5905  5964 


8808 
9404 
♦001 
0598 
1194 

1791 
3387 
3984 
358o 
4176 


65oi 
7097 


656o 
7i56 


0610 

I305 

1801 
2396 
2991 


7693  7752 

82888347 
8883  8943 
94799539 
00740134 

0670  0739 
1 2651 1 324 

i860  I030 

3455  251 5 
3o5of3iio 


Diff-. 


0      12      3     4 


5     6     7     8     9 


Dim  sl  Mult. 


I 
2 
3 

4 
5 
6 

7 
8 


I 
2 

3 

4 
5 
6 

7 
8 


DifT. 


60 
1 30 

180 
240 
3oo 
36o 
430 
480 
540 


177 
236 
295 
354 
4i3 
472 
53 1 


Diff.  &,  Mult. 


LOGARITHMS     OF     NUMBERS. 


109 


Nam. 

7300 

01 
03 
o3 
o4 

o5 

06 
07 
08 
09 

73  10 
II 

(2 

i3 
14 

i5 

16 

17 
18 

19 

7320 
21 

22 

23 
24 

25 

26 
27 
38 
29 

73  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

7340 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

73  5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

Num. 


0      12      3      4 


5      6      7      8      9 


8633339 
3823 
4418 
5oi3 
56o8 

6303 

6797 
7391 
7985 
858o 

9174 

#  9768 

864  o362 
0056 
i35o 

2143 
2737 
333 1 
3934 
45i7 

5iii 
5704 
6397 
6890 
7483 

8076 
8669 
9262 

#  9855 

865  0447 

io4o 
i633 

2235 
2817 
3409 

4ooi 
4593 
5i85 

5777 
6369 

6961 
7552 

8144 
8735 
9327 

#  9918 
8660309 

IIOO 

169 1 
2282 


3288 

3883 
4478 

50<f2 

5667 

6262 
6856 
745 1 
8045 
8639 

9233 
9827 
0431 
101 5 
1609 

2303 

2796 

3390 

3983 

4577 

5170 

5763 

6357 
6950 
7543 

8i36 
8738 
9321 
9914 

0306 

1099 
I69I 

2284 

2876 

3468 

4o6o 
4653 

5244 
5836 
6428 

7020 
7611 
83o3 

8794 
9386 

9977 
o568 
1160 
1 75 1 
3342 


2873 
3464 
4o55 
4646 
5236 

5827 

6417 
7008 
7598 
8188 


3932 
3523 
4ii4 
4705 
5295 


3348 
3942 
4537 
5i32 

5727 

6321 
6916 
75io 
8104 
8698 

9887 
0481 
1075 
1668 

3363 

3856 

3449 
4043 
4636 

523 

583 
64x6 
7009 
7602 

8195 
8788 
9380 
9973 
o566 

ii58 
1 75 1 
2343 
3935 
3527 

4l20 

4712 
53o4 
5895 
6487 

7079 
7671 
8263 

8854 
9445 

♦o36 
0627 
1219 
1810 

34oi 
2993 

3583 
4173 
4764 
5354 


5886 
6476 
7067 
7657 
8247 


3467 
4o6i 
4656 
535i 
5845 

644o 
7034 
763 

833 
8817 

941 1 

♦oo5 
0599 

1787 

238i 
2974 
3568 
4i6i 
4755 

5348 
5941 
6534 
7128 
7661  7721 

8254 
8847 
9440 
♦o32 
0625 


3407 

400  3 
4597 
519I 
5786 

638 1 
6075 
7569 
8164 
8758 

9353 
9946 
o549 
ii34 
1728 

2321 

3915 
3509 

4l02 

4695 

5289 
5882 
6475 

7068 


5945 
6535 
7136 

7716 
83o6 


1317 

1810 
2402 
2995 
3587 

4179 
4771 
5363 
5955 
6546 

7i38 
773o 
8321 
8913 
95o4 

0095 
0687 
1378 
1869 
3460 

3o5i 
364 1 
4233 
4823 
54i3 

6oo4 
6594 

7i85 
7775 
8365 


83i3 
8906 

9499 
0093 

0684 

1377 
1869 
2461 
3o54 
3646 

4238 
483o 
5422 
6or4 
6606 

7197 
7789 

838o 
8972 
9563 

oi55 
0746 
i337 
1928 
2519 

3iio 
3701 
4291 
4882 
5472 

6o63 
6653 

7244 
7834 
8424 


3536 

4l3I 

4716 
53io 
5905 

6499 

7094 
7688 
8383 

8877 

9471 
oo65 
0659 
1253 
1846 

3440 
3o34 
3627 

4231 

48i4 

5407 
6001 

6594 

7187 
7780 

8373 
8966 
9558 
oi5i 
0743 

1 336 
1928 

2331 
3ll3 
3705 

4397 
4889 
5481 
6073 

6665 

7356 
7848 
8440 
903 1 
9622 

03l4 

o8o5 
1396 

1987 
2578 

3169 
3760 
435o 

4941 
5532 

6122 
6712 
73o3 

7893 
8483 


3586|3645 
4i8o'424o 


4775 
5370 
5964 

6559 
7 1 53 
7748 
8342 
8936 

9530 
0124 
0718 

l3l3 

1906 

35oo 
3093 

3687 
4280 

4873 
5467 

6060 
6653 
7346 
7839 

8433 
9025 
9618 

03I0 

o8o3 

1395 
1988 
358o 
3 1 73 
3764 

4356 
4948 
5540 
6x33 
6724 

73i6 
7907 

8499 
9090 

9681 

0373 
0864 
1455 
2046 
2637 

3238 

3819 
4409 
5ooo 
5591 

6181 
6771 
7362 
7953 
8543 


4835 
5439 
6024 

6618 
73x3 
7807 
84oi 
8996 

9590 
0184 
0778 
1 37 1 
1965 

3559 

3i53 

3746 

433 

493 

5526 
61 19 
6712 

73o5 
7898 

84oi 
9084 
9677 
0269 
0862 

x454 
2047 
2639 
323i 
3824 

4416 
5oo8 
56oo 
6191 
6783 

7375 

7' 

8558 

9149 
9741 

o332 
0923 
i5i4 
2io5 
2696 


3705 
4299 

4894 

5489 
6(>83 

6678 

7373 

7867 
846  X 
9055 

9649 
o34j 
o837 
i43i 

3035 

3618 
3213 

38o5 
4399 
4993 

5585 
6179 

6772 
7365 
7958 

855i 
9x43 
9736 
0329 
0921 

i5i4 
2106 
2698 
3291 
3883 

4475 
5067 
5659 
625i 
6842 

7434 
8025 
8617 
9208 
9800 

0391 
0983 
x573 
2i64 

3755 


3387 
3878 
4468 
5o59 
565o 


3764 
4359 
4954 
5548 
6143 

6737 
7333 
7936 
8530 
91x4 

9708 
o3o3 

0896 
1490 
2084 

2678 

3371 
3865 
4458 
5o5i 

5645 
6238 
683 1 

7424 
8017 

8610 
9303 
9795 
o388 
0980 

x573 
3i65 

3758 

335o 
3942 

4534 
5x36 
5718 
63io 
6901 

7493 
8o85 
8676 
9268 
9859 

o45o 
io4i 
(633 

3233 

2814 


Difl*. 


3346 
3937 
4538 
5ii8 
5709 


6240  6399 
683o  '" 


7421 
801 1 
8601 


7480 
8070 
8660 


34o5 
3996 
4587 
5x77 
5768 

6358 


6889  6949 


7539 
8139 

8719 


Diff.  ic  Mult. 


0   1 


8  4 


6  7   8  9 


I 

2 
3 

4 
5 
6 

7 
8 


1 
2 
3 

4 
5 
6 

7 
8 


60 
1 30 
180 
340 
3oo 
36o 
430 
480 
54o 


59 
118 
177 
236 
295 
354 
4i3 
472 
53i 


Diff.       Diff.  &.  Mult. 


i' 


I 


LOGARITHMS  OF  NUMBERS. 


Ill 


Num. 

7420 

ai 

23 

a3 

35 

36 
37 
38 

39 

74  3o 
3i 
3a 

33 
34 

35 
36 

37 
38 
39 

7440 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

74  5o 
5i 

53 

53 
54 

55 
56 

57 
58 

59 

7460 
61 
6a 
63 
64 

65 
66 

67 
68 

69 

7470 

71 
72 
73 
74 

75 
76 

77 
78 

79 
Num. 


0      12      3     4 


5      6      7     8     9 


870  4o39 
4624 
Saio 
5705 
638o 

6965 
7549 
8i34 
8719 

93o4 

•  9888 
871  0473 

1057 
i64i 

3326 

2810 
3394 
3978 

4562 
5i46 

5729 

63i3 

68. 

74fto 

8064 

8647 
9230 

•  9814 
87  a  0397 

0980 

1 563 

3146 
3728 
33ii 
3894 

.  4476 
5o59 
564i 
6224 
6806 

7388 
7970 
8552 

9134 

•  9716 

87302 


>o 
1462 
2043 
3635 

3206 

3787 
4369 
4950 
553i 

6112 
6693 

7274 
7855 
8435 


4098 
4683 
5268 
5853 
6438 

7023 
7608 
8193 
8777 
936a 

9947 
o53i 

iii5 
1700 
2284 

2868 
345? 
4o36 
4620 
5204 

5788 
6871 
6955 
7539 
813a 

8705 
9289 
9872 
0455 
io38 

i6ai 
2204 

2787 
3369 
3952 

4535 
5ii7 
5700 
6282 
6864 

7446 
8029 
861 1 
9193 

9774 

o356 
0038 
1020 
2101 
2683 

3264 
3845 

4427 
5oo8 
5589 

6170 
6751 
7332 
7913 
8493 


4i56 

4741 
5327 
5912 

6497 

7082 
7666 
825i 
8836 
9421 

♦095 
0589 
1 174 
1758 
2342 

2927 
35ii 
4095 

4679 
5262 

5846 
643o 
7oi3 

7507 
8180 

8764 

9347 
9930 
o5i3 
1096 

1679 
2262 
2845 
3428 
4010 

4593 
5175 
5758 
634o 
6923 

75o5 
8087 
8669 
9251 
9833 

o4i4 
0996 
1578 
2159 
3741 

3322 

3904 
4485 
5o66 
5647 

6228 
6809 
7390 

7971 
855i 


42i5 
4800 
5385 
5970 
6555 

7140 
7725 
83ro 
8894 
9479 
oo63 
o648 
ia3a 
1817 
2401 

2985 

356 

4i5 

4737 
5321 

5904 
6488 
7072 
7655 
8239 

8822 
94o5 
9988 
0572 
ii55 

1738 

2320 
2903 
3486 
4069 

465 1 
5234 
58i6 
6398 
6981 

7563 
8145 
8727 
9309 
9891 

0473 
io54 
i636 
2218 

2799 

338o 
3962 
4543 
5i24 
5705 

6286 
6867 
7448 
8029 
8610 


4273 
4858 

5444 
6029 

6614 

7190 

7783 
8368 
8953 
9537 

OI23 
0706 
I29I 
1875 
2459 

3o43 
3627 
421 1 

4795 
5379 

5963 
6546 
7f3o 

7714 
8297 

8880 
9464 
♦047 
o63o 

I3l3 

1796 
2379 
2962 

3544 
4127 

4709 
529a 

5874 
6457 
7039 

7621 
8203 
8785 
9367 

9949 

o53i 
iii3 
1694 
2276 
2857 

3439 
4020 
4601 
5i83 
5763 

6344 
6925 
7506 
8087 
8668 


4333 

4917 
55o2 

6087 
6672 

7257 
7842 
8427 
901 1 
9596 

0180 
0765 
1 349 
1933 
a5i8 

3l02 

3686 
4270 
4854 
5437 

60a  I 
66o5 

7188 
7772 
8355 

8939 
9322 
oio5 
0688 
1371 

i854 
2437 

3020 

36o3 
4i85 

4768 
535o 
5933 
65i5 

7097 

7679 
8261 
8843 
9425 
♦007 

0589 
1171 
1752 
2334 
2915 

3497 
4078 
4659 
5240 
5821 

64o2 
6983 
7564 
8145 
8726 


4390 
4975 
556i 
61 46 
6731 

73i6 
7900 
8485 
9070 
9654 

0239 
0823 
i4o8 

2576 

3i6o 

3744 
4328 
4912 
5496 

6080 
6663 

7247 
783o 

84i4 

9580 
01 63 

0747 
i33o 

191 2 
2495 
3078 
366 1 
4243 

4826 
5408 
5991 
6573 
7i55 

7738 
8320 
8902 
9484 
oo65 

0647 
1229 
1810 
2392 
2973 

3555 
4i36 

4717 
5298 
588o 

646i 

7o4i 
7622 
8203 
8784 


4449 
5()34 
5619 
6204 
6789 

7374 

?59 

'^44 

9128 

97i3 

0297 
0882 
1 466 
2o5o 
2634 

3211 

38o 
4387 
4970 
5554 


6i38  6i 


45o7 
5092 
5678 
6263 
6848 

7432 
8017 
8602 
9187 
977» 

o356 
0940 
1 524 

2693 

3277 
386 1 

4445 
5029 
56i3 


6722 
73o5 
7889 
8472 

9055 
9639 
0222 
o8o5 
t388 

1071 
2554 
3i36 
3719 
43o2 

4884 
5467 
6049 
663 1 
7214 

7796 
8878 
8960 
9542 
01  a4 

0705 
1287 
1869 
245o 
3o32 

36i3 
4194 
4775 
5357 
5938 

65i9 
7100 
7680 
8261 
8842 


6750 
7363 

7?47 
853o 

9114 
9697 
0280 
o863 
r446 

2029 
2612 
3195 

3777 
436o 

4942 
3526 
6107 
6690 

7272 

7854 
8436 
9018 


4566 
5i5i 
5736 
6321 
6906 

7491 
8076 
8660 
9245 
9830 

o4t4 

i583 
2167 

2751 

3335 
3919 
45o3 
5087 
5671 

6255 
6838 
7422 
8oo5 
8589 

9172 
9755 
o338 
0921 
i5o4 

2087 
2670 
3253 
3836 
44i8 

5ooi 
5583 
6166 
6748 
733o 

7912 

8494 
9076 


Diff. 


96009658 
0182  0240 


0764 
1 345 
1927 
25o8 
3090 

3671 
4252 
4834 
541 5 
5996 

6577 

7i58 

7738 

83i 

890C1 


0822 
i4o3 
1985 
2566 
3i48 

3729 

43ii 
4892 
5473 
6o54 

6635 
7216 

7797 

9|8377 

8958 


DifT.  k  Mult. 


I 

^9 

2 

118 

3 

177 

4 

236 

5 

295 

354 

6 

7 

4i3 

8 

472 

Q 

53i 

0      12      3      4 


6      7      8     9 


Diff. 


I 
2 
3 

4 
5 
6 

7 
8 


58 
116 
174 
a33 
290 
348 
406 
464 
5aa 


II 


Diff.  &  Mult. 


'I'lppp 


112 


LOOAEITHMS     OF     NUMBERS. 


Numb 
8i 

82 

83 
84 

85 

86 
87 
88 
89 

74 '9** 
91 

9? 
93 

94 

95 
96 

97 
98 

99 

7500 
01 
oa 
o3 
o4 

06 

07 

oB 
09 

75  10 
II 
I  a 
i3 

i4 

i5 
16 

17 
18 

^9 

75  ao 
ai 

33 

aS 
a6 

27 

a8 

29 

75  3o 

3i 
3a 
33 
34 

35 
36 

37 
38 
39 

Nam* 


0      12      3     4 


5     6     7     8     9 


ST3  9016] 

•    9597 

8740177 

0757 
i338 

1918 

3498 
3078 
3658 
4a38 


9074 
9655 
oa35 
o8i5 
1396 


56 
3i36 

3716, 
4296 


9132I9190 

971 319771 
0393035 1 
08740932 
1454!  1 5i  2 

io34|ao9a 
2614  2672 

3194  3253 

3774  3832 
4354144" 


48184876 
53985456 

59786036 


6557 
7137 

7716 
8296 
8875 
9454 

875  oo34 

o6i3 
1 192 

1771 
2349 
2928 

3507 
4086 
46(34 
5243 
58a  I 

6978 
7556 
8 1 34 
8712 

9290 

•  9808 

876  o446 
1023 
]6oi 

2178 
2756 

3911 

4488 

5o65 

5642 
621 

6796 

7373 


9248 
9829 
0409 
0090 
1370 

3i5o 
2730 
33io 
3890 
4470 

4934|4992  5o5o 


66i5 
7195 

7774 

8354 
8o33 
9512 
0091 

0671 

I25o 

1828 
•i4o7 
2986 

3565 
4i43 
4722 
53oo 
5879 

6457 
7o35 

7614 
8192 
8770 

9348 

9925 

o5o3 

1081 
1659 

2236 

2814 
3391 
3968 
4546 

5ia3 

5700 

277 

6854 
743 1 


96 


5S.45572 
6094  J6 1 52 
66736731 
7253 

7832 
84i2 
8^91 
9570 
0149 

0728 
i3o7 
1886 
2465 
3o44 

36a3 
4201 
4780 
5358 

5937 

65i5 
7093 

7671 
8249 
8828 

94o5 
83 
o56i 
1 1 39 
1716 

2294 

2871 

3449 
4026 
46o3 

5i8o 
5758 
6335 
6911 
7488 


7950  8007  8o65 


73n 

7890 

8470 

9049 
9628 

0207 

0786 
1 365 
1944 

2323 
3l02 

368 1 
4259 

4838 
5416 
5995 

6573 
7i5i 

7729 
83o7 
8885 

9463 
♦04 1 
0619 
1197 

1774 


85268584 

91039161 

•  96809737 

8770256o3i4 

08330890 

1409  » 467 
io85  2043 
256 1  261 
3137I319' 


I 


563o 
6210 
6789 
7369 

7948 
8528 
9107 
9686 
0265 

0844 
1 423 
2002 
258i 
3i6o 

3738 
4317 
4896 

5474 
6o52 

663i 
7209 

7787 
8365 
8943 

9521 
0099 
0677 
1254 
i832 


2352 

2929 
35o6 
4o84 
4661 

5238 
58i5 
6392 
6969 

7546 


2409 
2987 
3564 
4i4a 

4719 

5296 
5873 
645o 
7027 
7604 


8642 
9218 
9795 
0371 

0948 
t524 
2100 

2677 
3253 


8123  8180 
86998757 
92769334 
9853  9910 
0429  0487 


ioo5 
1 582 
2 1 58 
2734 
33io 


io63 
1639 
2216 
2792 
3368 


9364j9422 

9945 

o525 

1106 

1686 


9306 
9887 
0467 
io48 
i6a8 

2208 
2788 
3368 

3948 
4528 

5io8 
5688 
6268 
6847 

7427 

800680648122 


2266 
2846 
3426 

4006 
4586 

5i66 

5746 
6325 
6i^5 
7485 


♦oo3 
o583 
ii64 
1744 

2324 

2904 
3484 
4064 
4644 

5224 

58o4 
6383 
6960 
7543 


9480 
0061 
064 1 
1222 
1802 

2382 

2962 

3542 

4l22 
4702 


8585 
9165 


8643 
9223 


o38i 

0960 
i53q 


97449802 
o323 

0902 

i48i 
2060 
263q 
321S 

3796 
4375 
4953 
5532 
6110 

6689 
7267 
7845 
8423 
9001 

9579 
01 57 
0734 

l3l2 


9538 
0119 
0699 
1280 
i860 

2440 

3020 

36oo 
4i8o 
4760 


5283*  5340 


592a 

6499 

707 


211 

2697 

3275 

3854 
4433 
5oii 
5590 
6108 

6746 
7325 
7903 
848 1 
9059 

9637 
oai4 
0792 
1370 
1890  1947 


8701 
9281 
9860 
0439 

1018 
1 597 
2176 
2755 
3333 

3912 

4491 
5069 
5648 
6226 

6804 
7382 
7960 
8539 
91 10 

9694 
0272 
o85o 
1428 
2oo5 


2467 
3t>45 
3622 

i^ 

5354 
593  f 

65o8 
7085 
7661 

8238 
88i5 
9391 
9968 
o544 

1121 

1697 
2273 


2525 
3l02 

368o 
4257 
4834 

54ii 
5988 
6565 
7142 

7719 

8296 

8872 

9449 
♦026 
0602 

1 178 
1755 
233 1 


5862 

644 1 
7021 
76ool765i 

81808238 

8759 
9339 
9918 

0497 


8817 
9396 
9976 
o555 


Diff-. 


1076 
i655 
2234 
2813 
3391 

3970 

4548 
5i27 
5705 
6284 

6862 

7440 

8018 

398596 

'9174 

9752 
o33o 
0908 
1 485 
2o63 

2640 
3218 
3795 
4372 
4950 

5527 


2583 
3 160 

3737 
43i5 
4892 

5469 
6046  61  o4 


6623 

7200 

7777 

8353 
8o3o 
9507 
oo83 
0660 


28492907 
342513483 


6681 

7258 
7834 


1 134 

1713 
2292 
2870 
3449 

4028 

4606 
5i85 
5763 
634a 

6920. 
7498 
8076 
8654 
9232 

9810 
o388 
0965 
1 543 
2121 

2698 
3276 
3853 
443o 
5oo7 

5584 
6161 
6738 
73i5 
7892 


84n 
8988 
9564 
oi4i 

0717 

1236  1294 
1812  1870 


2388 
2965 
354  r 


2446 

3022 
3598 


8469 
9045 
9622 

0199 

0775 

i35i 
1928 

25o4 
3o8o 
3656 


58 


012      34         56789 


Diff.  &.  Mult. 


I 

2 

,n 

3 

177 

4 

236 

5 

295 
354 

6 

7 

4i3 

8 

472 

9 

53 1 

I 

58 

2 

116 

3 

174 

4 

332 

5 

290 

6 

348 

7 

406 

8 

464 

9 

522 

Diff    I  DiflT.  it  Mult. 


ii 


LOGARITHMS  OF  NUMBERS. 


113 


Naui. 

7540 

4i 
42 
43 
44 

45 
46 

47 
48 

49 

75  5o 
5i 

52 

53 
54 

55 

56 
57 
58 
59 

7560 
61 
62 
63 
64 

65 
66 

67 
68 
69 

7570 

71 
72 

73 
74 

75 
76 
77 
78 

79 

7580 
81 
82 
83 
84 

85 
86 

87 
88 
89 

7590 

91 
92 

94 

96 

9Z 
98 

99 

Num. 


0   12  3  4 


5  6   7  8  9 


8773713,3771 

428914347 
4865  4923 

5441  5499 
6017  6074 


6592 
7168 

7743 


665o 
7226 
7801 


831918376 
8894  8952 


9470 

878  0045 

0620 

1 195 

1770 

2345 
2919 

3494 
4069 
4643 

5218 
5792 
6367 

6941 
75i5 

8089 

8663 

9237 

*  9811 

8790385 

^3? 

2106 
2680 
3253 

3826 
44oo 
4973 
5546 
6119 

6692 
7265 
7838 

84ii 
8983 

«  9556 

8800128 

0701 

1273 

i846 

2418 
2990 
3562 

4i34 
4706 

6278 
585o 
6421 
6993 


9527 
0102 
0677 

1252 
1827 

2402 
2977 

3552 
4126 
4701 

5275 
585o 
6424 
6998 
7573 

8147 
8721 
9295 
9869 
0442 

1016 
1590 
2i63 
2737 
33ro 

3884 
4457 
5o3o 
56o3 
6176 

6749 

-322 
7895 

8468 
9041 

9613 
0186 
0758 
i33o 
1903 

2475 

3o47 
3619 
4191 
4763 

5335 
5907 
6478 
7o5o 
7  564 '762  2 


3829  3886 
44o5  4462 
4980  5o38 
5556  56i4 
6132I6189 

6708  j  6765 
7283,7341 
78597916 
8434J8492 
90099067 

9585 
0160 
0735 
i3io 
i885 


2460 

3o34 
3609 

4i84 
4758 

5333 
5907 
6482 
7o56 
763o 

8204 
8778 
9352 
9926 
o5oo 

1074 

i647 
2221 

2794 
3368 

3941 
45i4 
5o88 
566 1 
6234 

6807 
^38o 
952 
8525 
9098 

9670 
0243 
o8i5 
1 388 
i960 

2532 

3 104 
3676 
4248 
4820 

5392 
5q64 


9642 
0217 
0792 
1 367 
1942 

2517 
3092 
3667 
4241 
4816 

5390 
5965 
653 
711 

7687 

8262 
8836 
9410 

ot? 

ii3i 
1705 
2278 

2852 

3425 

3998 
4572 
5i45 
5718 
6291 

6864 
7437 
8010 
8582 
9155 

9728 
o3oo 
0873 
1445 
2017 

2589 
3162 
3734 
43o6 

4877 

5449 
6021 


6536  6593 
7107  7164 
7679  7736 


3944 
4520 
5096 
5671 
6247 

6823 

7398 

7974 

8549 
9124 

9700 
0275 
o85o 
1425 
2000 

2575 

3i49 
3724 
4299 
4873 

5448 
6022 
6596 

7171 
7745 

83i9 
8893 
9467 
♦o4i 
o6i5 

1 188 
1762 
2335 
2909 
3482 

4o56 
4629 
5202 

5775 
6348 

6921 

7494 
8067 
864o 
9212 

9785 
o357 
oq3o 
02 
2074 

2647 
3219 

3791 

4363 

4935 

55o7 
6078 
665o 

7222 
7793 


4ooi|4o5o 
4577U635 
5i53  52II 
57295787 
63o5i6362 

688o'6938 
7456  75 1 3 


6420  6477 


8o3i 
8607 
9182 

9757 
o332 

0907 

1482 

2o57 

2632 

3207 
3782 
4356 
4931 

55o5 
6080 
6654 
7228 
7802 

8376 
8950 
9524 
0098 
0672 

1246 

181 

239 

2966 

3540 

4ii3 
4686 
5259 
5833 
64o6 

6979 
755i 

8124 
8697 
9270 

9842 
o4i5 
0987 
1559 

2l32 

2704 
3276 

3848 
4420 
4992 

5564 
6i35 


8089 
8664 
9239 

9815 
0390 
oo65 
1 540 

21l5 

2690 

3264 
3839 

44i4 
4988 

5563 
6i37 
671 1 
7286 

7860 

8434 
9CKJ8 
9582 
01 56 
0729 

i3o3 

1877 
245o 
3o24 
3597 

4170 
4744 
53i7 
5890 
6463 

7o36 
7609 
8181 

8754 
9327 

9899 
0472 
1044 
1617 
2189 

2761 
3333 
3905 

4477 
5o49 

5621 
6193 


4ii7l4i74i4232 
4693'475o|48o8 


5268 
5844 


5326 
5902 


67076764 
7279j7336 
78507907 


6995 

7S71 
8i46 
8722 
9297 

9872 

0447 
1022 

1597 

2172 

2747 

3322 

3896 

4471 
5o46 

5620 
6194 
6769 
7343 

79»7 

8491 
9065 
9639 

02l3 

0787 

i36o 
1934 
25o8 
3o8i 
3654 

4228 
4801 
5374 
5947 
6520 

7093 
7666 
8239 
8811 
9384 

9957 
0529 
1102 
1674 
2246 

2818 
3390 
3962 
4534 
5io6 

5678 
625o 
6821 
7393 
7964 


7053 
7628 
8204 
8779 


5384 
5 


m 


7110 
7686 
8261 

8837 


93549412 


99 


3o 
o5o5 
1080 
i655 

223o 

2805 
3379 

3  " 


5440 


4529 
5io3 

5678 
6252 
6826 
7400 

7975 

8549 
9123 

9696 

0270 

0844 

i4i8 

2565 
3i38 
3712 

4285 
4858 
543 1 
6004 

6577 

7i5o 
7723 
8296 
8869 
9441 

♦oi4 
o586 
1 159 
1731 
23o3 

2875 
3448 
4020 
4592 
5i63 

5735 
63o7 
6879 
745o 
8022 


9987 
0562 
ii37 
1712 

2287 

2862 

3437 
II 
4586 
5i6i 


Diff. 


Diff.  &.  Mult. 


5735 
63o9 
6884 
7458 
8o32 

8606 
9180 

9754 
o328 
0901 

t475 
2049 
2622 
3196 
3769 

4342 
4916 
5489 
6062 
6635 

7208 
7781 
8353 
8926 

9499 
0071 

0644 
1216 
1788 
236 1 


333 
)o5 

4077 

4649 

5221 
5792 

6364 
6936 

7507 
8079 


I 

58 

2 

116 

3 

174 

4 

232 

5 

290 

6 

348 

7 

4o6 

8 

464 

9 

522 

I 

2 

3 

4 
5 
6 

7 
8 

9 


0 


5   6   7   8   9 


Diff. 


■V 


57 

ii4 
171 
228 
285 
342 

5i3 


><i»| 
^ 


Diff.  A^  MulL 


15 


M 


'fl 


i 


LOGARITHMS     OF    NUMBERS. 


115 


Nun. 

7660 

6i 

63 

63 
64 

65 
66 

67 
68 

69 

7670 

71 
72 

73 

74 

75 
76 

77 
78 

19 

7680 
81 
8a 
83 
84 

85 
86 

87 
88 
89 

7690 

9» 

9? 
93 

96 

9Z 
98 

99 

7700 

01 

02 
o3 
04 

o5 
06 
07 
08 
09 

7710 
II 
12 
i3 
i4 

i5 

16 

17 
18 

19 

Num. 


2911 
3478 

4o45 
46i2 


884  2288 
2855 
3421 
3988 
4555 

5l22 

5688 
6255 
6821 
7387 

7954 

8520 

9086 

#  9652 

885  0218 

0784 
i35o 
1915 
2481 
3o47 
36x2 
4178 
4743 
53o8 
5874 

6439 
7004 
7569 
8i34 
8699 

9263 
»  9828 

886  0393 
0957 

l532 


0   1   2   3   4    5  6   7  8  9 

2798 
3365 
3932 

4498 
5o65 


2344  2401 
2968 
3535 


4l02 

4668 


5178  5235 


5745 
63ii 
68^8 
7444 

8010 

8576 
9143 
9709 

0275 

o84o 
1 406 
1972 
2538 
3io3 

3669 
45-34 
4800 
5365 
5930 

6495 
7000 
7625 
8190 

8755 

9320 
9885 
0449 
ioi4 
1578 


2086 
265 1 
32i5 

3779 
4343 

4907 
5471 
6o35 
6500 
7163 

7726 
8290 
8854 

94»7 
#  9980 

8870544 
1 107 
1670 

2233 

2796 
3359 

3922 
4485 
5o48 
56io 


58oi 
6368 
6934 
7301 

8067 
8633 

9' 99 

9765 

o33i 

0897 
1 463 
2029 

2594 
3i6o 

3725 
4291 
4856 
5421 
5987 

6552 

7117 
7682 

8247 
8812 


2143 

2707 
3271 
3835 
44oo 


64 
28 


2458 
3o25 
3592 
4i58 

4725 

5292 

5858 
6425 

% 

8124 

869 

9'^d6 

0823 

o388 

0954 
1319 
2o85 
265 1 
3216 

3782 

4347 
4913 

5478 
6043 

6608 

7173 
7738 
83o3 
8868 


4 

5: 

6092 

6655 

7219 

7783 
8346 
8910 
9473 
♦037 

0600 
ii63 
1727 
2290 
2853 

34i6 

3978 
4541 
5io4 
5667 


9376 
9941 
o5o6 
1070 
i635 

2199 
2763 
3328 
3892 
4456 

5020 

5584 
6i48 
6712 

7275 

783o 

84o3 

89 

9530 

0093 

o656 
1220 
1783 
2346 
2909 

347a 
4o35 
4598 
5i6o 
5723 


9433 
9998 
o562 
1 1 27 
1691 

2256 

2820 
3384 
3948 
45i2 

5076 
564o 
6204 
6768 
7332 


7896 
8459 
9023 
9586 
0149 

07x3 
1276 
1839 
2402 
2965 

3528 
4091 
4654 
5217 

5779 


25i4 
3o8i 
3648 
42i5 
4782 

5348 
5915 
648 1 
7048 
7614 

8180 
8746 
9312 
9878 
oAAA 

lOlO 

1576 
2142 
2707 
3273 

3838 
44o4 
4969 
5534 
6100 

6665 
7230 

7795 
836o 
8925 

9489 
♦o54 
0619 
ii83 
1748 

23l2 

2876 
3441 

4oo5 
4569 

5i33 
5697 
6261 
6824 
7388 

7952 
85i5 
9079 
9642 
0206 


0769 
1 332 
1895 
2459 

3022 

3584 

4i47 
4710 

5273 
5835 


2571 
3i38 
3705 
4272 
4838 

54o5 
5971 
6538 
7104 
7671 

8237 
88o3 
9369 
9935 
o5oi 

1067 
i633 
2198 


2628 
3195 
3762 
4328 
4895 

5462 
6028 

65(^4 
7161 

7727 

8293 
8860 
9426 

^7 

II23 

1689 

2255 


2764  2820 
3329  3386 


3895 
4460 
5026 
5591 
61 56 

6721 
7286 
785 1 
84i6 
8981 

9546 
Olio 
0675 
1240 
1804 

2368 
2933 

3497 
4o6i 
4625 

5189 
5753 
63i7 
6881 
7445 

8008 
8572 
9135 
9699 
0262 

0825 
1 389 
1952 
25x5 
3078 

364i 
4204 
4766 
5329 
5892 


3o5i 

45x7 
5082 

5647 
62i3 

6778 
7343 
7908 

8473 
9037 

9602 
0167 
0732 
1296 
i860 

2425 

298 

355 

4118 

4682 


2685 
325i 
38x8 
4385 
4952 

55x8 
6o85 
665 1 

7217 
7784 

835o 
8916 
9482 
♦048 
o6i4 

1 180 

1746 

23X1 

2877 

3443 
4008 

4573 

5i39 
5704 
6269 

6834 
7399 

7964 
8529 

9094 

9659 
0223 
0788 
i352 
1917 

2481 
3o46 
36io 
4174 
4738 


5246 
58io 
6373 
6937 
730 1 

8o65 
8628 
9192 
9755 
o3i8 

0882 
1445 
2008 
2571 
3i34 

3697 
4260 
4823 
5385 
5948 


2741 
33o8 
3875 
4442 
5oo8 

5575 
6i4i 
6708 

7274 
7840 

8407 

8973 

953. 

010 

0671 

1237 
1 802 
2368 
2934 
3499 

4o65 
463o 
5195 
5761 
6326 

6891 
7456 
8021 
8586 
91 5o 

9715 
0280 
0844 
1409 
1973 

2538 

3l02 

3666 
423o 
4794 


563i 
6198 
6764 
7331 
7897 

8463 
9029 
9595 
0161 

0727 

1293 
1859 
2425 
2990 
3556 

4121 
4686 

5252 

5817 

6382 
6947 

7312 

8077 

8642 
9207 

9772 
o336 
0901 
1465 
2o3o 

2594 

3i58 
3723 
4287 
485i 


53o2 
5866 
643o 

^7 

8121 
8685 
9248 
9811 
0375 

0038 
i5oi 

2064 
2627 
3190 


Diff. 


5358 
5922 
6486 
7o5o 
76x4 

8177 
8741 
9304 
9868 
043  X 

0994 
1 558 
2121 
2684 
3247 


54x5 
5979 
6543 
7106 
7670 

8234 
8797 
9361 
9924 
0487 

io5i 

x6x4 
2177 
2740 
33o3 


3753  38io  3866 
43164372  4429 
4879  4935  499  X 
5442I 5498  5554 
6oo46o6o!6ii7 


0      12      3      4 


5     6      7     8      9 


Diff.  &  Mult. 


I 

3 
3 

4 
5 
6 

7 
8 


I 
3 
3 
4 
5 
6 

7 
8 


57 
ii4 

171 
228 
285 
342 

5x3 


<#  » 


56 

113 
168 

224 
280 

336 
393 

448 
5o4 


DiflT. 


Diff.  i  Mult. 


^ '^ 


116 


L0GAEITHM9    OF     14  U  M  B  £  R  S  . 


Num. 


0   1 


I  88T  6173  6229  6286  6342  6398 
I   6736  6792  ;6848!  6904 '6961 

7»o8  73§4:74io|7467j7523 
7860  791 717973,8029  bt)85 
8423  8479  8535  8591 18648 


5  6   7  8  9 


8o85  9041  {9097,  .,_. 

•  95479603965997169772 

888  0109*0165  0222  0278|0334 

0671  0727  0784' 0840J0896 

123311289  i345  i4o2 U458 


9i54'93io  93669322 


1795 

a357 

2918 
3480 


i85i 
24 1 3 

2975 


1907 
2469 
3o3i 


3536  3592 


40424098 

46o3|4659 
5i6Sj522i 

6726  5782 
6287  6343 

684B 


6905  6961  7017  7073 


7466 
8027 
853218588 
9093  9149 
~  9710 


8890214 
0775 
1 336 
1896 
2457 

3oi7 

3577 
4i38 
4698 
5258 

58i8 
6378 
6938 
7498 
8o58 

8617 

9177 

#  9736 

890  0396^ 

o855 


3073 

3633 
4194 

4754 
dji4 

5874 
6434 


8u3 


196312020 

2625  258i 
3o87|3i43 

3649  ^7*^^ 
42ioJ4a66 

4772I4828 
5333;  5389 
58q4  5o5<> 


471 5 
5277 
5838 
64<.x>645665i2 


6454|65i  I 

701717073 
7579!  7635 


8142 
8704 


8198 
8760 


9828 
0390 
0952 
i5i4 

2076 
2638 
3199 


656766236679 
712971857342 


769217748 
8254i83io 
8816:8872 


7804 
8366 
8929 


9378  9435  9491 
9884  9941 19997 1  ♦o53 
04461  o5(»3o5d9'o6i  5 
1008  1064' 1 1 21 1 1 177 
1570  1626  i683ji739 


ai33  2188 
369412750 
335533r3 


3244h>3oi 
280612862 
3368,3494 


3761  3817387339393986 
4322  43794435  4491  [4547 


7522  7578 
8o838i39 
86448700 
9205I9261 
976619822 


o326 
0887 
1 448 
2008 
2569 


o382 
0943 
i5o4 
2064 
2625 


7634 
8195 
8756 
9317 
9878 

0439 

i56o 
2120 
2681 


3129  3 1 85  3241 

368937453801 
425o  43o6  4362 
4810486614922 
537015426  5482 

59305986 
6490  6546 


7o5o 
7610 
8169 


7106 
7666 
8225 


i  4884 
5445 
6007 
6568 
7129 

7690 

825i 
8813 
9373 
9934 

0495 
io55 
1616 
2176 

2737 

3397 
3858 
44i8 
4978 
5d38 


6042 
6602 
7162 

7722 
8281 


8673  8739  8785  884 1 


9389]9345'94oi 
9848;99o4!996o 
o4f)8  0464  ('5  20 


9233 

9793 
p352 
0911 

i47iN526  1 582 
2o3o  20862142 
a58o2645 


096710231079  113511911247 


3i48 

3707 


3204 


2701 
3260 


3763,38193875 


4210  4266  4323I4378 
4769  4825!488i;4937 
5338:5384  5440  5496 
5887159435998,6054 
6445,65oi  65576613 


70o4[7o6o 
7563i76i8 


71167172 
76747730 


8121  81778333,8389 

867018735,8791  J8847 
9338  9294  93499405 


1 638 
3198 

3757 

33i6 


4434 
4993 
555i 
6110 
6669 

7227 
7786 

8344 
8903 
9461 


4940 


5o53  5 1 08 


815614  5670 
6o63  6i  19  61756331 
6624,6680,6736  6792 

7185.7241  7297I7353 

7746780278587915 
83o7  8363,84i9'8476 
8868  |8934'898o' 9037 
9429  9485  9541 19597 
9990  ♦046  0102  01 58 


o55i 
nil 
1672 

2232 
2793 

3353 
3914 
4474 
5()34 
5594, 


0607 
1167 
1728 
3288 
2849 

3409 


06630719 


1223  1279 
1784  1840 
2345  3401 
2905  2961 

3465|352i 
3970140364082 
453o|4586:4642 
50901 5 1461 5202 
565o  5706  5762 


6i54|62io 
66^8  67 1 4  6770 
7218727417330 

777878347890 
8337  8393;8449 

8897  89549009 
94579513,9560 
♦016:0073  0128 
057606320687 


62666322 
68366882 


1694 

2253 

28i3 
3372 
3931 

4490 
5o49 
5607 
6166 
6725 

7283 
7842 
84oo 
8959 
9517 


i75o  1806 
3  309  2365 
386913934 
3438  3484 
39874043 

45464601 
5io4  5i6o 
5719 


5663 
6232 
6781 

7339 
78q8 
8456 
9014 
9573 


6278 
6836 

7395 
7953 
85i3 
9070 


7386 

7946 
85o5 

9065 
9634 
0184 
0743 
i3o3 

1863 
2421 
3980 
3539 
4098 

4657 
5216 
5775 
6334 
6893 

745 1 
8000 
856^ 
9136 


9629  9684 


7442 
8002 
856i 

9121 
9680 
0340 
0709 
1359 

1918 

3477 
3o36 
3595 
4i54 

47i3 
5272 
583 1 
6389 
6948 

7507 
8o65 
8624 
9182 
9740 


ffwn* 


01234        56789 


Di.T.       DiiT.  &.  Mulu 


56 


DifT.       Diir.  k.  Mult. 


LOGARITHMS     OF     NUMBERS. 


117 


Num. 


0      1234         56789 

9963*019  I  00750131,018702430298 
0522:0577     o633  0689  0745  0801  |o856 


*   97969852,9908 
891  o354o4ioo466 


0912  0968 
1470!  1526 
2028,2084 

2586  2642 
3i4432oo 
3702  3758 
42594315 
48174873 

5375  543o 
59325988 
6489  6545 


1024  1080 
1 582  i638 
2i4o  2196 

2754 
33ii 
3869 

4427 
4984 


7047 
7604 


7102 
7660 


8161  8217 


8718 

9275 

*   9832 

892  0389 

0946 
i5o3 
2059 
2616 
3173 


8774 
9331 


5486 
6044 
6601 

7i58 
77i5 


ii35 
i6o4 

2251 

2809 

3367 

3925 

4482 

5o4o 


8273 
883o 
9387 
,9944 
0445  o5oi 


1002 
i558 

2Il5 

2672 

3228 

3785 
4341 

4897 
5454 

6010 


1057 
i6i4 
2171 

2727 
3284 

384o 
4397 
4953 
55o9 
6o65 


5542 
6099 
6657 
7214 

7771 

8328 

8885 
9442 

9999 
o556 

iii3 

1670 
2226 
2783 
3340 


65io 
7066 
7622 
8178 
8734 

«  9846 

893  o4oi 

0957 

l5l2 

2068 

2623 

3178 
3733 
4288 

4843 
5398 
5953 
65o8 
7063 

7618 
8172 

.8727 
9281 

#  9836 

894  0390 
0944 
14 
2o53 
2607 


8384 
8941 
9498 

♦ODD 
0612 


3896 

445 
5009 
5565 
6121 


9345 
9901 

0457 
1012 
1 568 


9401 
9957 
o5i2 

1068 
1623 


2123 

2678 

3234 
3789 
4344 

4899 

5454 
6009 

6564 
7118 

7673 
8338 
8783 
9337 
9891 

0445 
1000 
i554 
3108 
2662 


3952 
45o8 
5o64 
5621 

6177 

6733 
7289 
7845 
84oi 
8956 


9457 
♦012 
o568 

1123 

1679 


2179  22-^4  2290 


2734 
3289 
3844 
4399 

4954 
5509 
6064 
6619 

7174 

7729 
8383 
8838 
9392 

9947 

o5oi 
io55 
1609 
3i63 

2717 


2789 
3345 
3900 
4455 

5oio 
5565 
6120 
6675 
7229 

7784 
8339 
8893 
9448 
♦002 

o556 
iiii 
1 665 
2210 

277 


5o65 
5620 
6175 
6730 
7285 


1191 
1749 


1247 
i8o5 


2307  2363 


2865 
3423 
3981 
4538 
5096 

5653 


i3o3i359i4i5 


2921 

3479 
4o36 

4594 

5if 


1861 
2419 


1917 
2475 


2977  3o32 
35343590 
4092  4 1 48 
465o  4706 
5207  5263 

570957655821 


6211626663326378 
6768  6834  6880  6935 


3' 2828 


7325 
7883 

844o 
8997 
9554 
01 1 1 
0668 

1224 
1781 
2338 
2894 
345 1 

4007 
4564 

5l20 

5676 

6232 

6788 
7344 

7900 
8456 
9012 


7381 
7938 

8495 
9053 
96:0 
0166 
0723 

1280 
i837 
23o3 
29D0 
35o6 

4o63 
4619 
5176 
5732 
6288 

6844 
7400 
7956 
8513 
9068 


7437 
7994 

855 1 
9108 
9665 
0222 
0779 

i336 
1892 

2449 
3oo6 
3562 

4119 
4675 
523i 

5787 
6344 

6900 
7456 
8011 
8567 
9123 


8o5o 

8607 
9164 
9721 
0278 
o835 

1391 
1048 
25o5 
3o6i 
36i8 


3o88 
3646 
4204 
4761 
5319 

5876 
6434 
6991 
7548 
8io5 

8663 
9220 

9777 
o334 
0890 

1 447 
2004 
356o 
3x17 
3673 


4174 
4731 
5287 
5843 
6399 

6955 
7D11 
8067 
8623 

9179 


9568  9623  9679 


-  9734 
612361796234I0290 

0734  0790  0846 
1290  i345li4oi 
1845  1901  1956 


0679 
1234 
1790 

2345 
2900 
3456 
4oii 
4566 

5l2T 
5676 
6231 
6786 
7340 

7895 

845o 
9004 


2401 
2956 
35ii 
4o66 
4621 

5176 
5731 
6286 
684 1 
7396 

7950 
85o5 
9059' 


0790 
1 345 
1901 

2456 
3oi2 

3567 

4l22 
4677 
5232 

5787 

6342 
6897 
745 


25l2 
3067 
3622 

4177 
4732 

5287 

5842 
6397 
6952 
7507 


423o 
4786 
5342 

7011 
7567 
8123 
8678 
9234 

9Z99 
o346 

0901 

1457 
2012 

2567 
3i23 
3678 
4233 
4788 

5343 
5898 
6453 

7007 
7562 


95589614 
oii3oi68 


80068061  8117 
856o  8616  8671 
9115,9170,9226 
966997259780 
022402790335 


0667 

1221 

1 776!  1 83 1 

233o  2385 

28842939 


0723  0778  o833  0880 
1277  1 332!  1 388  1443 

1886: 1942' 1997 
2440' 24962551 
2994  3o5o  3io5 


Diir.       Oiff.  &  Mult 


Nam. 


01234         56789 


I 

55 

2 

no 

3 

i65 

4 

220 

5 

275 

6 

33o 

7 

385 

8 

440 

9 

495 

Diff.       Diff.  k.  Mult. 


118 


LOGAEITHMS  OF  NUMBERS. 


Nnm. 

1840 
4i 
4a 
43 

ilii 

45 
43 

4? 

49 
78  5o 

5a 
53 
54 

55 
56 

A*' 

57 

58 
59 

7860 

63 
63 
64 

65 
66 

67 
6B 
69 

7870 
71 
72 
73 
74 

75 
76 

77 
78 

79 

7880 
81 
8a 
83 
84 

85 
86 
87 
88 
89 

7890 
91 
9a 
93 
94 

95 

96 

97 
98 

99 


0   1 


3  4 


5  6  7  8  9 


894  3j6i 
3715 


4a68  4324 


32i6|327i 
37703825 


482a 
5376 

5929 

6483 
7037 
7590 
8143 


4878 
543 1 


4379 
4933 
5487 


5985|6o4o 
65386594 


8697 

9230 

•  9803 

895  ci356 

0909 

1462 
aoj5 
a568 
3 1 20 

3673 

4225 
4778 
533o 
5883 
6435 


73J 
809 

8644 
9195 

♦  9747 

896  0299 

o85i 

i4o3 

1954 

25«6 
3o57 
36o8 
4160 
4711 

5a62 
58i3 
6364 
6915 
7466 


39  7595 


7092 

7645 
8199 

8752 
93()5 
9858 
o4ii 
0964 

i5i7 
2070 
2623 

3176 
3718 

4281 
4833 
5386 
5938 
6490 


7147 
7701 
8254 

8807 


9914 

0467 


1020 
1572 

2125 
2678 

323 1 
3783 

4336 
4888 
5441 

6545 


3327 
388i 
4435 
4988 
5542 

6096 
6649I 
7203 

7756 
83o9 


8863 

93609416 

9969 

0522 
1075 


1628 
2l8l 

2733 

3286 


7042 
7595 

8147 


9803 

o354 
0^06 
1 458 
2009 

2  56 1 

3lI2 

3664 

421 5 
4766 


4391 
4944 
5496 
6048 
6601 


3382 
3936 
4490 

5o44 
5597 

6i5i 
6704 
7258 
7811 
8365 

8918 
9471 
#024 

o577 
ii3o 


i683 

2236 

2789 

334 1 

38393894 


70987153 
7650  77o5 
8202  8257 
8754  8809 
93069361 

98589913 


o4o9| 
0961 


8017 

8568 

91 18 

•  9669 

897  oaao 

0770 

l320 

1871 
2421 
2971 

352  r 

4071 
4621 
5171 
5721 


5317537a 
5868  5923 
64196475 


o465 
1016 


i5i3ii568 
ao64 

2616 
3167 
3719 
4270 
4821 


2120 

2671 

3222 

3774 

4325 
4876 

5428 
5979 


4446 

im 

6104 

6656 

7208 
7760 
83ia 
8864 
9416 

9968 
oSao 
1072 
i6a3 
2175 

3726 
3278 
3829 
4380 
4931 

5483 
6o34 


6970 
75a  I 

807  a 
86a3 


70a  5 
7576 

8ia7 
8678 


9173,9229 

9724 
0275 

0825 
1375 
1926 

2476 
3oa6 

3576 

4ia6 
4676 
5aa6 

5776 


653o6585 


7081 
763 1 


7i36 
7686 


9779 
o33o 

0880 
i43i 
1981 
253i 
3o8i 

363i 
4i8i 
473 1 
5a8i 
583i 


81828237 
8733  8788 
9284  9339 
9834  9889 
o385  o44o 

09350990 
i486i54i 
2o36  2091 
2586  2641 
3i363i9i 

3686  3741 
4236  4291 
47864841 
5336  5391 
5886  5941 


3438 


JvrJJ 

6206 
6760 

73i3 
7867 
8420 

8073 
9626 
0079 
q632 
ii85 

1738 
2291 

2844 
3397 

3949 


3493  3548 
4o47  4io2 
4601  4656 
5i5452io 


36o4,'3659 
4 1 58  42 1 3 

47114767 
5a65  5320 


5708  5763  58i9'5874 


62626317 
68156870 
7369  7424 
79227977 
84758531 

9028  9084 
9582  9637 
oi35  0190 
06880743 
i24ijia96 

17941849 
23462402 

28992054 
52  35o7 


34 


J 


4oo4|4o6o 

45oa4557|46ia 
5o54  5"J9  5i65 
5607  566a|57i7 
615962146269 


6372;6428 
69266981 
7479'7535 
8o33  8088 
8586i864i 


9139  9194 
969^19748 
0245  o3o  I 


0798 
i35i 


o854 
1407 


1 904!  1 959 
2457  25i  2 
3oio  3o65 


6711 

7263 
7815 
8368 
8919 
9471 

♦023 
0575 
1127 
1678 
2a3o 

2781 
3333 
3884 
4435 

4987 

5538 
6089 


6766682a 

73197374 
787117926 

84238478 
8975J9030 
95279582 

00780134 
o63o'o685 

Il82[l237 

1733,1789 
aa85  234o 

283712892 
3388|3443 
3939  3994 


3562 
4ii5 

4667 
5220 

5772 
6325 


36i8 
4170 

4723 
5275 
5828 
638o 


68776932 

74297484 
7981  8o36 
8533.8588 
90859140 

9637969a 

01890244 
0741  0796 
1292  1 347 


4491 
5o42 


4546 
5097 


5593  5648 

6f44|6i99 

664o  6695  6750 


7191 

774a 

8292 
8843 
9394 
9944 
0495 

1045 
1596 
2146 
2696 
3246 

3796 
4346 
4896 
5446 
5996 


7246 

7797 

8347 
8898 


73oi 
7852 

84o3 
8953 


1844 
3395 

2947 
3498 
4o5o 
4601 
5i52 

5703 
6254 
68o5 
7356 

7907 

8458 
9008 


1899 
a45o 

3ooa 
3553 
4io5 
4656 
5207 

5758 
63o9 
6860 
74ii 
796a 

85f3 
9063 


9449950495599614 
9999  ♦o54  0109  01 65 


o556 

iioo 
i65i 
2201 
275 1 
33oi 

385 1 
44oi 
401 
55oi 
6o5i 


o6o5o66o 


II 55 

1706 

2256 

2806 

3356 

3906 
4456 
5oo6, 


1210 
1761 

23ll 

2861 
3411 

3961 
45ii 


5o6i 
55561 56i  I 
61066161 


0715 

1265 
1816 
2366 
2916 
3466 

4oi6 
4566 
5ii6 
5666 
6216 


01234         56789 


DiflT. 


DiflT.  Jt  Malt 


I 

56 

a 

iia 

3 

168 

4 

324 

5 

280 

6 

336 

7 

392 

8 

448 

9 

5o4 

55 


DiflT. 


I 

a 
3 

4 
5 
6 

7 
8 


55 
no 
i65 
220 

275 
33o 
385 
440 
495 


DiflT.  k.  Mult. 


LOGARITHMS     OF     NUMBERS.                                    119  1 

Num. 
7900 

01234         56789 

Diff. 

DiiT.  &  Mult. 

897  6271 

63266381 

6436 

6491 

6546 

6601 

66566711 

6766 

01 

6821 

68766931 

74257480 

6986 
7535 

7040 

7095 

7i5o 

7205  7260 

73i5 

02 

7370 

7590 

7645 

7700 

7755 

7810 

7865 

o3 

7920 

7975  8o3o 
8524  8579 

8o85 

8i4o 

8195 

825o 

83o4 

8359 

84i4 

04 

8469 

8634 

8689 

8744 

8799 

8854 

8909 

8964 

o5 

9019 

90749129 
9623  9678 

9184 

9238 

9293 

9348 

94o3 

9458 

951 3 

06 

#   9568 

9733 

9788 

9843 

9898 

9953 

♦008 

0062 

07 

898  01 17 

0172 

0227 

0282 

o337 

0392 

0447 

o5o2 

o557 

0612 

08 

0667 

0722 

0776 

o83i 

0886 

0941 

?§^ 

io5i 

1106 

1 161 

09 

1216 

1271 

i326 

i38o 

1435 

1490 

1600 

i655 

1710 

7910 

1765 

1820 

1875 

1930 

1984 

2039 

2094 

2149 

22o4 

^1^2 

I 

55 

II 

33i4 

2369 

2424 

2479 

2533 

2588 

2643 

2698 

2753 

2808 

2 

no 

12 

3863 

2918 

2973 
3521 

3027 

3082 

3i37 

3192 

3247 

33o2 

3357 

3 

i65 

i3 

34i3 

3467 

3576 

363 1 

3686 

3741 

3796 

385! 

3906 

4 

320 

i4 

3960 

401 5 

4070 

4125 

4180 

4235 

4290 

4345 

4399 

4454 

5 

375 

i5 

4509 

4564 

4619 

5i68 

4674 

4729 

4784 

4838 

4893 

4948 

5oo3 

6 

33o 

385 
440 
495 

16 

5o58 

5ii3 

5322 

5277 

5332 

5387 

5442 

5497 

5552 

7 
8 

17 

56o6 

566i 

5716 

577  » 

5826 

588 1 

5936 

5990 

6045 

6100 

18 

6i55 

6210 

6265 

6320 

6374 

6420 

6484 

6539 

7087 

6594 

7142 

6649 

9 

19 

6703 

6758 

68i3 

6868 

6923 

6978 

7o32 

7197 

7920 

735a 

7307 

736i 

74i6 

7471 

7526 

758i 

7636 

7690 

7745 

31 

7800 

7855 

7910 

7965 

8019 

8074 

8129 

8184 

8239 

8294 

33 

8348 

84o3 

8458 

85i3 

8568 

8622 

8677 

8732 

8787 

8842 

33 

8897 

8951 

9006 

9061 

9116 

9I7I 

9225 

9280 

9335 

9938 

34 

9445 

9499 

9554 

9609 

9664 

9719 

9774 

9828 

9883 

35 

«   9993 
8990541 

♦o48 

0102 

01 57 

0212 

0267 

o32i 

0376 

043 1 

o486 

36 

0595 

o65o 

0705 

0760 

081 5 

0869 

0924 

0079 
1527 

ro34 

27 

1089 

1143 

1198 

1253 

i3o8 

1 363 

l4i7 

1472 

1 582 

38 

i636 

1691 

1746 

1801 

1 856 

1910 

1965 

2020 

2075 

2129 

39 

3i84 

2239 

2294 

3348 

24o3 

2458 

25i3 

2568 

2622 

2677 

7930 

3732 

2787 

2841 

2896 

2951 

3oo6 

3o6o 

3ii5 

3170 

3225 

3i 

3379 

3334 

3389 

3444 

3499 

3553 

36o8 

3663 

3718 

3772 

33 

3827 

3882 

3937 

3991 

4o46 

4ioi 

41 56 

4210 

4265 

4320 

33 

4375 

4429 

4484 

4539 

4594 

4648 

47o3 

4758 

4812 

4867 

■ 

34 

4922 

4977 

5o3i 

5o86 

5i4i 

5196 

525o 

53o5 

536o 

541 5 

35 

5469 

5524 

5579 

5634 

5688 

5743 

5798 

5852 

5907 

5962 

36 

6017 

6071 

6126 

6181 

6235 

6290 

6345 

6400 

6454 

65o9 

37 

6564 

6619 

6673 

6728 

6783 

6837 

6892 

69  ^^7 

7002 

7o56 

38 

7111 

7166 

7220 

7275 

733o 

7384 

7439 

7494 

7549 

7603 

39 

7658 

77i3 

7767 

7822 

7877 

7932 

7986 

8o4i 

8096 

8i5o 

7940 

8205 

8260 

83i4 

8369 

8424 

8479 

8533 

8588 

8643 

8697 

4i 

8752 

8807 

8861 

8916 

8971 

9025 

9080 

9i35 

9189 

9244 

54 
108 
163 
216 

43 

9299 

9354 

9408 

9463 

9518 

9572 

9627 

9682 

9736 

9791 
o338 

I 

43 

♦   9846 

9900 

9955 

♦010 

0064 

0119 

0174 

0228 

0283 

2 

3 
4 

44 

9000392 

0447 

o5o2 

o556 

0611 

0666 

0720 

0775 

o83o 

0884 

45 

0939 

0994 

io48 

iio3 

n58 

1212 

1267 

l322 

1376 

i43i 

5 

270 

46 

i486 

i54o 

1595 

i65o 

1704 

1759 

1814 

1868 

1923 

1977 

6 

324 

47 

2o32 

2087 

2t4i 

2196 

225l 

23o5 

236o 

24i5 

2469 

2524 

7 

378 

48 

2579 

2633 

2688 

2743 

2797 

2852 

2906 

2961 

3oi6 

3070 

8 

433 

49 
7950 

3i25 

3671 

3i8o 
3726 

3234 
3781 

3289 
3835 

3344 
3890 

3398 
3944 

3453 
3999 

3507 

4o54 

3562 
4io8 

36i7 
4i63 

9 

486 

5i 

4218 

4272 

4327 

438 1 

4436 

4491 

4545 

4600 

4654 

4709 

5a 

4764 

48i8 

4873 

4928 

4982 

5o37 

5091 

5i46 

520I 

5255 

53 

53 10 

5364 

5419 
5965 

5474 

5528 

5583 

5637 

5692 

5747 

58oi 

54 

5856 

5910 

6020 

6074 

6129 

6i83 

6238 

6293 

6347 

55 

64o2 

6456 

65ri 

6566 

6620 

6675 

6729 

6784 

6839 

6893 

56 

6948 

7002 

7057 

7112 

7166 

7221 

7275 

733o 

7384 

17439 

57 

7494i7548 

7603 

7657 

7712 

7766 

7821 

7876  7930 

7985 
853o 

58 

8039  8094 

8i48 

8203 

8258 

83i2 

83678421 

8476 

59 

85858640I8694 

8749 

88o3 

8858 

8912 

'896719022 

9076 

Num. 

01234         56789 

Diff. 

DiC  &  MulL 

.  1 


■> , 


Ui 


120 

LOGARITHMSOFNtTMBERS.                   1 

Iffain. 

61 

01234    56789 

Diflr. 

Diff.  k,  Mult. 

0OO9i3i[9i85, 

•  96769731 

9240 

9785 

9294 
9840 

9349 
9894 

940394589513 
9949  ♦oo4  oo58 

9567 

0!l3 

9622 
0167 

63 

901  oaaa 

0276 

o33t 

o385 

o44o 

0494 

0549  0604  o658 

0713 

m 

0767 

0822 

0876 

0931 

0985 
i53i 

io4o 

1094  ii49 

I203 

1258 

64 

i3i3 

i367 

143  a 

1476 

i585 

i64o 

1694 

1749 

i8o3 

65 

i858 

1912 

1067 

25 1  2 

2021 

2076 

ai3o 

2i85 

2239 

2785 

2294 
a839 

2349 

66 

34o3 

2458 

2567 

2621 

2676 

2730 

2804 
3439 

67 

29^8  3oo3 

3o57 

3lI2 

3 166 

3a  at 

3275 

333o 

3384 

68 

3493, 354« 

36o2 

3657 

371 1 

3766 

38ao 

3875 

3929 

3984 
4529 

'69 

4o38 

4093 

4i47 

4202 

4a56 

43ii 

4365 

4420 

4474 

7970 

4583 

4638 

4692 

4747 

4801 

4856 

4910 

4q65 

5019 

5o74 

I 

55 

71 

5128 

5i83  5237 

5292 
5836 

5346 

5401 

5455 

55t>9 

5564 

56i8 

2 

1 10 

7a 

5673 

5727 

5782 

5891 
6436 

5945 

6000 

6f)54 

6109 

6i63 

3 

1 65 

73 

6ai8 

6272 

6327 

638 1 

6490 
7o35 

6544 

6599 

6^)53  6708 

4 

220 

74 

676a 

6817 

6871 

6926 

6980 

7089 

7144 

7198 

7252 

5 

275 

1  fl 

75 

7307 

736i 

74i6 

7470 

7525 

7579 

7634 

7688 

7743 

7797 

6 

33o 
^85 

76 

785 1 

7906 

7960 

80 1 5 

8069 

8124 

8178 

8233 

8287 

834 1 

7 
K 

440 
495 

77 

8396 

845o 

85o5 

8559 

86 1 4 

8668 

8723 

8777 

883 1 

8886 

0 

78 

8940 

9485 

8oo5 

9049 

9594 

9104 
9648 

9i58 
9702 

9212 

9757 

9267 
9811 

9321 
9866 

9376 
9920 

9430 
9974 

9 

79 

9539 

7980 

902  0029 
0573 

oo83 

oi38 

0102 

0736 

oa47 

o3oi 

o355 

o4io 

o464 

oSio 
io63 

81 

0628 

0682 

0701 
1 335 

0845 

0900 

0954 

1008 

8a 

1 1 17 

1 1 72 

1226 

1280 

1389 

1 444 

1498 

1 552 

1607 

83 

1661 

1716 

1770 

1824 

187Q 
2423 

1933 

1988 

2042 

2096 

2l5l 

if 

84 

aao5 

2260 

23i4 

2368 

2477 

2532 

2586 

2640 

2695 

85 

2749 

2804 

2858 

391a 

2967 
35ii 

3o2I 

3076 

3i3o 

3i84 

3239 

86 

3293  3347 

3402 

3456 

3565 

3619 
4i63 

3674 

3728 

3782 

87 

3837 

3891 
4435 

3946 

4fx>o 

4o54 

4109 

4217 

4272 

4326 

88 

438i 

4480 
5o33 

4544 

4598 

465a 

4707 

4761 

48i5 

4870 

89 

4924 

4979 

5087 

5i42 

5196 

525o 

53o5 

5359 

54i3 

7990 

5468 

5522 

5577 

563 1 

5685 

5740 

5794 

5848 

5903 

6?^^ 

91 

601 1 

6066 

6120 

6174 

6229 

6283 

6337 

6392 
6935 

6446 

9a 

6555 

6609 

6663 

6718 

6772 

6826 

6881 

n 

7044 

93 

7098 

7i52 

7207 

7261 

73i5 

7370 

7424 

7478 

7587 

94 

7641 

7696 

775o 

7804 

7859 

7913 

7967 

8022 

8076 

8i3o 

95 

8i85 

8a39 

8293 
8836 

8348 

84o2 

8456 

85n 

8565 

8619 

8674 

96 

87a8 

878a 

8891 
9434 

8945 

8099 

9054 

9108 

9162 

9217 

■9Z 

9271 

9325 

9380 

9488 

9542 

9597 

9651 

9705 

9760 

98 

»  9814 

9868 

9923 

9977 

0520 

♦o3i 

oo85 

oi4o 

0194 

0737 

0248 

o3o3 

99 

903  o357 

o4ii 

o466 

o574 

0628 

o683 

0791 

0846 

8000 

0900 

0954 

1008 

io63 

1117 

1171 

1226 

ia8o 

1 334 

1 368 

01 

1443 

1497 

1 55 1 

1606 

1660 

1714 

1768 

1823 

1877 

1931 

■      f    s 

oa 

io85 

2o4o 

2f>94 

2148 

2203 

2257 

23l  I 

2365 

2420 

2474 

I 

34 

o3 

2528 

2582 

2637 

2691 
3234 

2745 

2799 

2854 

2908 

2962 

3oi7 

a 

108 

o4 

3071 

3i25 

3179 

3a88 

3342 

3396 

345 1 

35o5 

3559 

3 

4 
5 

162 
0  tfi 

o5 

36i3 

3668 

3722 

3776 

383o 

3885 

3939 

3993 
4536 

4o47 

4l02 

270 

06 

4i56 

4210 

4264 

4319 

4373 

4427 

4481 

45qo 

4644 

6 

324 

07 

4698 

4753 

4807 

4861 

4915 

4969 

5o24 

5078 

5i32 

5i86 

7 

378 

08 

5a4i 

5295 
5837 

6379 

5349 

54o3 

5458 

55i2 

5566 

5620 

5674 

5729 

8 

432 

09 

8010 

5783 
6325 

5891 
6434 

5946 
6488 

6000 
6542 

6o54 
65o6 

6108 
665o 

6i63 
6705 

6217 

6759 

6271 
68i3 

9 

486 

II 

6867 

692a 

6976 

7o3o 

7084 

7i38  7193 
76807735 

7247 

73oi 

7355 

la 

7409 

7464 

7518 

7572 

7626 

7789 

7843 

7807 
8439 

i3 

7951 

8006 

8060 

8114 

8168 

822218277 

833 1 

8385 

i4 

8493  8548 

8602 

8656 

8710 

87648819 

8873 

8927 

8981 

i5 

90359089 

"^l^ 

9198 

9252 

9306,9360 

941 5 

9469 

9523 

16 

•  95779631 

9685 

9740 

9794 

98489902 

9956 

♦010 

oo65 

17 

904  01 19  0173 

0227 

oa8i 

o336 

o3ooo444 
0931I0085 
1473  1527 

0498 

o552 

0606 

18 
19 

Nirai* 

0661  0715 
1202  1256 

0769 
i3io 

0823 
1 365 

0877 
1419 

io4o 
i58r 

1094 
i635 

ii48 
1690 

01234    5  676  9 

Oiff. 

Difi*.  &  Mult. 

LOGARITHMS  OF  NUMBERS. 


Num. 


01234         56789 


904i744|i798 
2285  2339 


2827 
3368 


2881 
3422 


39093963 

445o45o5 
4992  5o46 
5533,5587 
60746128 
6615^6669 

71557210 
76967750 
82378291 
87788832 
93189372 


4559 
5ioo 

564i 
6182 
6723 


#  9859 

905  0399 

0940 

1 480 

2020 


1906  1960 

2448  2502 

2989  3o43 
353o  3584 
4072  4126 

46134667 
5 1 54  5208 

56o5;5749 
6236*6290 
6777  683 1 


256o  2615 
3ioij3i55 
364 1  3695 
4235 


4181 
4721 

5260 
58oo 
634o 
6880 
7419 

7959 
8498 
9o38 

*  9577 
9060116 

o655 
1195 
17^4 
2273 
2812 

335o 
3889 
4428 
4967 
55o5 

6o44 
6582 
7121 
7659 
8197 

8735 

9273 

«  9812 

9070350 

0887 

i4'>5 
1963 
aSoi 
3o38 
3576 


4775 


0170 

0700 
1248 
1788 
2327 
2865 

34o4 
3943 
4482 
5o2o 

5559 

6098 
6636 

7174 
771 3 
8251 

8789 
9327 
9865 
o4o3 
0941 

1479 
2017 

2555 

3092 

363o 


8843 
9381 
9919 

0457 
0995 


6205 

6744 
7282 
7820 
8359 


22c 


1 587 
aia4 

4662 
3200 

3737 


4721 
5262 
58o3 
6344 


J4|4288 

47754829 
53 1 6  5370 
5911 
6452 


5857 
6398 


688569396993 


0129 


96439697 
oi83o237 


4883 
5424 
5965 
65o6 

7047 


74267480753417588 
79678021  8o75'8i29 
85o7  856i  86158670 
90489102  91 56  9210 
9589  9643 1 9697  9751 


06690724 
1264 
i8o4 
2344 


553o 
6070 
6610 

7149 
7689 

8229 
8768 
9307 

9847 
o386 

0925 
1 464 
2oo3 
2542 
3o8i 

3620 
4i59 
4697 
5236 

5774 

63i3 
685i 

7390 
7928 
8466  8520 


5o45  50995153 
5584 

^124 

6664 
72o3 

7743 


0778 
i3i8 
1 858 
2398 

2939 

3479 
4019 

4559 


0291 
o832 
1372 
1912 
2452 

l^^ 

4073 
461 3 


8282 
8822 
9361 
9901 
o44o 

???? 

2o57 
2596 
3i35 

3674 
4212 

4751 
5390 
5828 

6367 
6905 

7444 
7982 


9004 
9543 
0081 
0618 
ii56 

i6o4 

2232 

2770 

33o7 
3845 


8336 
8876 
941 5 
9954 
0494 

io33 
1572 
2111 
265o 
3189 

3728 
4266 
48o5 

5344 
5882 

6421 
6959 

7497 
8o36 

8574 


9o58  91 1 2 
9596  9650 


01 34 
0672 
1210 

1748 
2286 
2823 
336i 

3899 


7642 
8i83 
8724 
9264 
9805 

o345 
0886 
1426 
1966 
25o6 

3o47 
3587 
4127 
4667 
5207 

5746 
6286 
6826 
7365 
7905 


0188 
0726 
1264 

1802 
2340 

2877 
34i5 
3952 


8390 
8930 
9469 
♦008 
o548 

1087 
1626 
2i65 
2704 
3243 

3781 
4320 
4859 
5397 
5936 

6474 
701 3 
755i 
8090 
8628 

9166 
9704 
0242 
0780 
i3i8 

i856 
2393 
2931 
3469 

4oo6 


3835 
4374 
4913 
545 1 
5990 

6528 
7067 
7605 
8143 
8682 


121 


DifiT.       Diff.  Sl  MuIu 


Num. 


01234         56789 


I 

54 

a 

108 

3 

162 

4 

216 

5 

270 

6 

324 

7 

378 

8 

432 

9 

486 

54 


Diff*. 


? 


I 

53 

a 

106 

3 

159 

4 

aia 

5 

a65 

6 

3i8 

7 

371 

8 

424 

9 

477 

DiiT.  ic  H«h. 


■TIPIIP 


12*2 


LOGARITHMS     OF     NUMBEES. 


Mwn. 


0      1234         56     789 


8i 
8a 
83 
84 

85 
86 
87 
88 
89 

8090 

91 

92 

93 

94 

9S 
96 

97 

98 
99 

8100 

01 
09 

€>S 

o5 
'06 
07' 

09 

8i  10 
II 

la 
i3 

i4 

1 5 
16 

17 
18 
19 

81  ao 
ai 

33 

a3 

a4' 

a5 
a6 

27 
98 

39 

81  3o 
3i 
3a 

34 

35 

37 

39 

ifiiiii* 


9074ii4 
4631 
5i88 

57a6 
6a63 

6800 
7337 
7874 

84ii 

8948 


4167 

47o5 
524a 
5780 
63i7 

6854 

739 
7928 

8465 
9002 


42311 

475914812 

529 

5833i5887 
637064246478 


535o54o3 


69086961 
7445 


70i5 


7498  755a 
79828036,8080 
8S19  8573  8626 
905691099163 


9485  953d9593;9646|97oo 
—  012901830237 


2169 

2705 
3241 
3778 
43i4 


066607200773 


12o3 

1 686!  1 739 


aaaa 
3759 
329^ 

383 
4368 


48  504904 


5386 
5922 
6458 
6994 


5440 
5976 
65i2 
7048 


7530  7584 


8066 
8602 
9137 

•  9673 


9090209 

0744 
1279 
i8i§ 
235o 

2885 
34^0 


3812 

3349 


1256 
1793 


i3io 

1847 


2276  a329  2383 


3866 


34oa 
388$1 3939  3992 

4421  4475  4S28 


4957 

54o4 
60J0 
6566 

7102 


81  ao 
8655 
9191 

9727 


7637 
8173 
8709 
9245 


0262 
0798 
1 333 

1868 
24o4 

2939 

3474 


3955  4009  4062 


449?  4544 

5071 


5o25 

6095 
663o 
7165 
7699 

8a34 

8768 

93o3 

•  9837 

9100371 


5oii 
5547 
6o83 
6619 

7i55 


o3i6 
o85i 
i386 
1922 

2457 

3?r7 


7691 

8327 

876a 

9206 

9780!  9854 


2920 
3456 


5o65 
56oi 
6i37 
6673 
7209 

7745 
8a8o 
8816 
9352 
9887 


o369o4a3 


4597 
5i32 


56145667 
614^6202 
66836737 

7218 


0905 
i44o 
1975 
a5ii 

3o46 

358 1 
4ii6 
465i 
5i86 

5721 
6a56 


7753 


7271 
7806 


0958 

1494 
3029 

3564 

3634 
4169 

4704 
5a39 

5774 
63o9 


67906844 


8a87  834i 

8822  8875 
93569409 

989o'9944 
o4a5.o478 

0905*0959  loi 2 


7325 

7860 

8394 


7378 
791 3 

8447 


i44o 

1974 

a5o8 
3o42 


89298963 
9463  9516 
♦o5i 
o585 


i493.i546| 
2027  2081 
2561I2615 
3095,31 48 


1066 
1600 


1119 
i653 


21343187 
26682721 


3202 


3255 


3576;3629'3687|3736  3789 
41094163421642704323 

46434697l475o'48o3,4857 
5i77|523o;5284.5337  5390 

571015764  58i7'587r5934 


4382 
4930 

5457 

^??^ 
6532 


4436 
4074 
55fi 

6o48 
6585 


4490 
5027 
5565 
6jo2 


66396693 


7606 
8143 
8680 
9217 

9754 
0290 
0827 
i364 
1900 

2437 
3973 
35io 

4o46 
4582 

5n8 
5654 
6190 
6726 
7262 


7ia3 
7660 
8107 
8734 
9370 


7q8 
'334 


94o5 
9941 

1012 

1 547 
3082 
a6i8 

3i53 

3688 

4223 

4758 
5a93 

58a8 
6363 


4544 
5o8i 
56i8 
6i56 


717672307284 


77i3 


8787 
9324 

98079861 


o344 
0681 

i4i7 
1954 

2490 
3o27 
3563 

409? 
4636 

5172 

5708 
6244 
6780 
73 16 

7852 


7767 


825o83o4 


0398 

0934 

1471 
2006 

2544 
3o8o 
3617 
41 53 
4689 

5225 

5762 
6296 

6834 


884i 
9378 

99'5 
o45i 
0988 


77' 

8 

88708923 


8387844 


94599' 
9994 

o53o 
io65 
1601 
2i36 
2671 

3ao6 

3741 
4276 
48ii 
5346 


7369  7433|7477 

8012 
8548 
9084 


45<y7 
5i35 
5672 
6209 

6747 


7831 
8356 
88o5 
94S2 

o5o5 
1042 


1 525 1578 


2061 

2598 
3 1 34 
3670 
4207 
4743 

5379 
58i5 
635i 

6887 


95669619 
0101  01 55 


o583 
1119 
i654 
3189 
2725 

3360 

3795 

433< 

4865 

5400 


21l5 

265 1 

3i88 

3724 
4260 

4797 

5333 
5869 
64o5 
6941 


DiflT. 


0637 
1172 
1708 
2243 

2778 

33 1 3 
3848 
4383 
4918 
5453 


588i  5935 
64166469 
7004 


6897:6951 

743217485 
7966.8020 

85oi8554 
90359080 
95709623 
0104  01 58 
0638069a 

1173  iaa6 

1707J1760 
aa4i  2294 
2775  2828 
3309336a 

38423896 
43764430; 
49104963 

5444,5497 
597716031 


6523 

7o58 
753o  7592 
80738127 


0690 
1226 
1761 
2297 
2832 

3367 
3909 

4437 
4' 


972 
i5o7 


6o4a 
6576 
7111 
7646 
8180 


8608 
9142 
9677 
oaii 
0745 

1279  i333 
181 3  1867 


8715 

9249 
9784 

o3i8 


8661 
9106 
9736 
0364 
07990853 

1 386 
1920 

2454 
2088 

3522 

'3949'4oo3|4o56 
|4483!4536459o 
5oi7j5o70j5i23 

555o56o4  5657 
6084  61 376191 


2348 
2882 


a4oi 
2935 


341 5, 3469. 


0     12     3     4        5     6     7     8     9       Diff 


PiC&Mah. 


1 

54 

a 

106 

3 

16a 

4 

3l6 

5 

270 

6 

3a4 

7 

378 

8 

43a 

9 

486 

] 

a 
3 

4 
5 
6 

7 
8 

9 


53 
106 
159 
ara 
a65 
3i8 
371 
424 
477 


Diff.  &  Mult.    I 


LOGARITHMS     OF     NUMBERS. 


123 


Nbw. 

8140 

4i 
4a 
43 
44 

45 

46 

47 
48 

49 

8i5o 

5i 

52 

53 

54 

55 
56 

57 
58 

59 

8c  60 
61 

•  62 
63 
64 

65 
66 
67 
68 
69 

8170 

71 
73 

73 
74 

75 

76 

77 
78 

79 

8180 
81 
82 
83 
84 

85 
86 

87 
68 
89 

81  90 

9» 
92 

94 

96 

98 
99 

Num. 


0      12      3     4 


5     6     7     8     9 


910  6244 

6778 

73 II 

7844 
8378 

8911 

9444 

•  9977 

911  o5io 

1043 

1576 
2109 
2642 

3i74 

3707 


4240 

4773 
53o5 
5837 
6369 


6297 
683 1 

7364 
7898 
843 1 

8964 

9497 
♦o3o 

o564 
1096 

1629 
2162 
2695 
3228 
3760 

4293 
482.5 
5358 
5890 
6423 


6902*6955 

74347487 


7966 
84o8 
9oio 

*  9562 

91a  0094 

0626 

ii57 

1689 

3221 

2752 

3284 
38i5 
4346 


4878 
5409 
5940 

6471 

7002 

7533 
8064 
8595 
9126 
«  9656 

913  0187 

0717 
1248 
1778 
2309 

2839 

3369 

38 

443o 

4960 

5490 
6019 


8019 
855 1 
9083 

9615 

0147 
0679 
1210 
1742 

2274 
2805 
3337 
3868 
4399 

493 

5462 

5993 


635i 

6884 
74i8 
7951 
8484 

9018 
9551 
0084 
0617 
ii5o 

i683 

22l5 

2748 
3281 

38i4 

4346 

4879 
541 1 
5943 
6476 

7008 
7540 
8072 
8604 
91 36 


64o4 
6933 

7471 
8004 
8538 

9071 
9604 
oi37 
0670 

I2o3 

1736 
2269 
2802 
3334 
3867 


9668 
0200 
0732 
1264 
1795 

2327 
2858 
3390 
3921 
4453 


6524 
7o55 


43t 

49 
5464 

5997 
6329 

7061 

7593 
8126 
8658 
9190 

9721 
0253 
0785 
i3i7 
1 848 

238o 
2912 
3443 
3974 
45o6 


6457 

t\ 

8o58 
8591 

9124 
9657 
0190 
0723 
1256 

1789 

2322 

2855 
3387 
3920 

4453 
4985 
55i8 
6o5o 
658a 


7586 
8117 
8648 
9179 
9709 

0240 
0770 
[3oi 
i83r 
2362 

2892 
3422 
3952 
4483 
5oi3 

5543 
6072 


4984 
55i5 
6046 
6577 
7108 

7639 
8170 
8701 
9232 
9762 

0293 
0824 
1 354 
1884 
241 5 

2945  2 

3475 

4oo5 

4536 

5o66 


5o37 
5568 
6099 
663o 
7161 


71  r4 

7647 

8179 
871 1 

9243 

9775 
o3o6 
o838 
1370 
1902 

2433 
2965 
3496 
4028 
4559 

5090 
5621 
6i52 
6683 
7214 


7692  7745 
82238276 


8754 
9285 
9815 

o346 
0877 
1407 
1937 
2468 


6549,6602 
70797132 
7609:7662 


5596 
6125 
6655 
7i85 

77i5 


98 
3528 
4o58 
4589 
5119 


5649 
6178 
6708 
7238 
7768 


8807 
9338 
9868 

0399 
0930 
1 460 
1990 

2521 

3o5i 
358i 
4iii 
4642 
5172 

5702 
623i 
6761 
7291 

7821 


65ii 

7044 
7578 
8111 
8644 

9177 
971 1 

0244 

0777 


6564 
7098 
763 1 
8164 
8698 

9231 

9764 
0297 
o83o 


i3io  i363 


1 843 
2375 
2908 

344  T 
3973 

45o6 
5o38 
5571 


6618 
7i5i 
7684 
8218 
8751 

9284 
9817 
o35o 
o883 
[4i6 


1896  1949 
2429  2482 
2961  3oi5 

34943547 
4027  4o8o 


4559 
5092 
5624 
6io3'|6i56 
6635  6689 


7168 
7700 
8232 
8764 
9296 

9828 
o36o 
0891 
i423 
1955 

2486 
3oi8 

3549 
4081 
4612 

5x43 
5674 
6206 

6737 
7268 


6671 
7204 
7738 
8271 
8804 

9337 
9871 
o4o4 
0937 
1470 

2002 
2535 
3o68 
36oi 
4i33 


4612 
5i45 
5677 
6210 
6742 

7221  7274 


7753 
8285 
8817 
9349 

9881 
o4i3 
0945 
1476 
2008 

2539 
3071 
36o2 

4i34 
4665 

5196 
5728 
6259 
6790 
7321 


6724 
7258 
7791 
8324 
8858 

9391 
9924 
0457 

2o56 
2588 

3l2I 

3654 
4186 


Diff. 


7806 
8338 
8870 
9402 

9934 
0466 
0998 
1529 
2061 

2593 
3i24 
3656 
4187 
4718 


4666 
5198 
5731 
6263 
6795 

7327 
7859 
8392 
8924 
9456 

9987 
o5i9 
io5i 
1 583 

2Il4 

2646 

3i77 
3709 
4240 

477  > 


7798  7852 
83298382 
88608913 
9391  9444 
99229975 

0452  o5o5 
0983  io36 
i3i3  i566 
2o44  2097 
2574  2627 

3io4  3i57 
3634  3687 


5249  53o3 
5781  5834 
63x2  6365 
6843  6896 

7374  7427 

7905  7958 
84368489 
89669019 
9497  9550 
♦028  0081 

o558o6ii 
1089  1 142 
1619  1672 

2x5o  22o3 

2680  2733 

32 10  3263 
3740  3793 
4x65  4218  42-Ji  4324 
4695  4748  4801  4854 
5225i5278i533x  5384 


4719 
525x 

5784 
63x6 
6848 

738  X 
79' 3 
8445 

8077 
9509 

♦04 1 
0572 
iio4 
1 636 
2167 

2( 
32! 

3762 
4293 
4824 

5356 

5887 
64i8 
6949 

7480 


5755'58o8  586x 
6284,63376390 
6814,68676920 

7344I7397  745o 
7874792717980 


80x1 
8542 
9072 
9603 
01 34 

0664 
1 195 
1725 

2256 

2786 

33x6 
3846 

4377 
4907 
5437 

5967 
6496 
7026 


59x4 
6443 
6973 
75o3  7556 
8o33l8o86 


01234         56789 


Diff.  Sc  Mult. 


I 

53 

2 

106 

3 

159 

4 

212 

5 

265 

6 

3i8 

7 

371 

8 

424 

9 

477 

53 


Diff. 


.   »: 


I 

5a 

2 

104 

3 

1 56 

4 

208 

5 

260 

6 

3X2 

7 

364 

8 

4x6 

9 

468 

Diff.  «t  Mult. 


i 

t  r 

'^  i 

n 

i  j 


i 


124 


8200 

oi 
oa 
o3 
o4 

o5 
o6 

07 

oa 
09 

8a  10 
11 

13 

i3 
i4 

i5 
16 

17 
18 
19 

8a  ao 

31 

33 
33 
34 

36 

39 

8a  3o 
3i 

33 

33 
34 

35 

36 

37 
38 
39 

83  4o 

4i 
43 
43 

■f""f 

45 
43 

48 
49 

8a  5o 
5i 
5a 

3%!' 
:54 

55 

56 

57 

58 
59 

Nam. 


LOGARITHMS     OF     NUMBERS. 


if«n.     0   12   3  4 


913  8 1 39  8 1 9 1  8244  8297  835o 
866a  8721  8774  8827  88»o 
9198  9a5i '9304  9356:9409 

•  97279780983398869930 

914  0257,0309  o362o4i5|o468 


0786 
i3i5 

1844 
a373 
3903 

3432 
3961 
4489 


0839  0892 


i36« 

1897 
2426 


1421 
1950 

2479 


2955^3008 
3484*3537 


4oi3 
4542 


5oi8  5071 
5547  56oo 

607616129 
66o4j6657 
71337186 


0998 

1327 

2o56 
2585 
3ii4 

3643 

4172 
4595l4648!47oi 
5ia4  5i77i523o 


0945 

1 474 
2oo3 

2532 

3o6i 
3590 


4066J4119 


7661 
8190 

8718 
9246 

•  9775 

91 5  o3o3 

o83i 

1359 
1887 
241 5 
3943 

347  > 


7714 
8243 

8771 


o356 
0884 

1940 
2468 
3 
3 


45a6 

5o54 
558i 
6109 

6636 

7!  63 
7691 

8218 
8745 

9272 

*  9799 

9160326 

08  53 
i38o 

1907 

3433 
3960 

3487 
4oi3 

4539 
5o66 
5592 
61 18 
6645 

7171 

8333 

8749 
9375 


5653 

6181 
6710 
7239 

7767 
8295 

8824 
9352 
9880 
0409 
0937 

i465 
1993 

2321 

3o48 

3576 

4io4 
4632 
5i59 
5687 
6214 

6742 
7269 
7796 
8323 
885o 

9378 

99t)5 

o43i 

09060958 


4o5i 

4579 
5io6 

5634 
6161 

6689 
7216 

7743 
8271 
8798 

9325 
9852 
o379 


1433 

1959 
3486 
3oi3 
3539 
4066 


5706.5758 

62346287 

67636816 

7291 

7820 

8348 


1 485 

2012 
•?539 
3o65 
3592 
4ii8 


4592  4645  4697 


8877 
94o5 
9933 
0461 
0989 

l5l7 

2045 
2573 
3io 
3629 

4i57 
4684 

5212 

5739 
6267 

6794 
7322 

7849 
8376 

8903 

9430 
9957 

o484 
ion 
1 538 

2o65 
3591 
3ii8 
3644 
4171 


5119 
5645 
6171 
6697 

7223 

7749 
8275 
8801 
9327 


5171 
5697 
6224 
6750 

7276 
7802 
8328 
8854 


5224 
5750 
6276 
68q2 


7344 
7873 
84oi 

8930 
9458 
9986 

o5r4 
io4a 

1570 
2098 
2626 
3i54 
3682 

4209 

4737 
5265 
5792 
6320 

6847 
7374 
7902 
84ao 
8956 

9483 
♦010 
o537 
1064 
1 591 

2117 

2644 
3171 

3697 
4224 

475o 
5276 
58o3 
63?  9 
6855 


56789 


7329 

7855 
838i 
8907 


9380  9433 


7381 

7907 
8433 
8959 
9485 


84o3  8456  8509  8562  861 5 
8933  8086  9039  9092  9145 
9462I9515  9568  9621  9674 
9992  ^045  0098 |oi5i  0204 
o52 1 I0574I0627  0680  0733 

iio3  1 1 56  1209  1262 
1633!  1686  173811791 


io5o 
i58o 
2109 
2638 
3167 

3696 
4225 


ai6a 

2691 
3220 

3749 

4278 


22l5|3268J232I 

2744' 2797  285o 
3273  3326:3379 


4754  4807 
5283  5335 


58ii 


5864 


634o  6393 
68696921 

7397 
7926 

8454 


8982 
951 1 

♦o39 
0567 
1095 

1623 

2l5l 

2679 

3207 

3734 

4262 

4790 

53i7 
5845 
6372 


745o 

7978 
85o7 

9035 
9563 
0092 
0620 
ii48 

1676 
2204 
2732 
3260 

3787 

43i5 

4843 
5370 
5898 
6425 


69006952 


7427 
7954 
848  f 
9009 

9536 
oo63 
0590 
in6 
1643 

2170 
2697 

3223 

3750 

4276 

48o3 
5329 
5855 
6382 
6908 

743417486 
796o'8oi2 
8486  8538 
901 2  9064 
9538  9590 


7480 
8007 
8534 
9061 

9588 
oii5 
0642 

1696 

2223 

2749 
3376 

38o2 
4339 


38o2 
433 1 
4860 
5388 
5917 

6446 
6974 
75o3 
8o3i 
856o 

9088 
9616 

01 44 
0673 
laoi 

1729 

2357 
2784 
33i2 
384o 

4368 
4895 
5423 
5950 
6478 

7005 
7532 
8060 
8587 
9114 

9641 
0168 
0695 
1222 
1749 

2275 
2802 
3329 
3855 
4382 


3855'39o8 

43S4|4437 
49124965 


5441 
5970 

64996551 


7037 
7556 


80848137 
b6i3  8665 


4855 
5382 
5908 
6434 
6960 


5494 
6023 


7080 
7609 


DifT. 


9141 
9669 
0197 
0725 
1253 

1781 
2309 
2837 
3365 
3893 

44»o 
4948 
5476 
6oo3 
653i 

7o58 
7585 
8112 
864o 
9167 


9194 
9722 
o25o 
0778 
i3o6 

1 834 

2363 

3890 
34i8 
3946 

4473 
5<x)i 
5528 
6o56 
6583 

7111 
7638 
8i65 
8692 
9219 


9694^46 
0221  0273 
0748J0800 
1274 
1 801 

a328 
2855 


1 327 
i854 

238i 
2907 


4908 
5434 
5961 
6487 
701 3 

7539 
8o65 
8591 
9117 
9643 


338 1  3434 
3908  3960 
4434  4487 


4961 
5487 


5oi3 
5540 


6oi3  6066 
65396592 
706617118 

75927644 
81188170 
8644  8696 
91699322 
9695  9748 


Diir.  &  MulL 


0      12      3     4 


5     6     7     8      9 


I 

53 

a 

106 

3 

159 

4 

212 

5 

265 

6 

3i8 

7 

371 

8 

AH 

9 

All 

DiflT. 


I 

53 

3 

io4 

3 

i56 

4 

208 

5 

260 

6 

3l2 

7 

364 

8 

416 

9 

468 

Diff.  &  Molt. 


LOGARITHMS     OF     NUMBERS. 


125 


Num. 

8260 

61 
62 
63 
64 

65 
66 

67 
68 

69 

8270 

71 
72 

73 
74 

75 
76 
77 
78 

79 

8380 
81 
82 
83 
84 

85 
86 

87 
88 
89 

8290 
91 
9\ 

94 

95 
96 

9Z 
98 

99 

83  00 
01 
02 
o3 
04 

o5 

06 
07 
08 
09 

83  10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

'9 
Num. 


0      12      3     4 


5      6      7     8      9 


#  9800 

9170326 

o852 

1378 

1903 

2429 
2954 

347? 
4oo5 


9553 
0379 
0904 
c43o 
1956 

2481 
3007 
3532 
4o57 


453o  4582 


5o55 
558o 
6io5 
663o 
7i55 

7680 
8205 
8730 
9254 
*  9779 

9i8o3o3 
0828 
i352 

1877 


99069958 
0431 
0957 
i483,i535 
2008  2061 


o484 

lOIO 


2534 
3o59 
3584 
4iio 
4635 


5io8  5i6o 
5633  5685 

61 58 
6683 
7208 


6210 
6735 
7260 


7733 

8257 
8782 
9307 
983 1 

o356 
0880 
i4o5 


192 
2401  2  " 


2925 
3449 
3973 

4497 

502I 

5545 

6069 

6593 

7II7 

7640 

8164 
8687 

92 1 1 

«  9734 
9190258 

0781 

i3o4 
1827 
235o 
2873 

3396 
3919 
4442 
4965 
5488 

6010 
6533 
7055 
7578 
8100 


929 
453 

2978 
35o2 
4026 
455o 
5o74 

5598 
6122 
6645 
7169 
7693 

8216 

8740 
9263 

9787 


3586 

3lI2 

3637 
4162 
4687 

52i3 

5738 
6263 
6788 
73i3 


7785 
83io 
8834 
9359 
9884 

o4o8 
0933 

1457 
1981 
25o6 

3o3o 

3554 
4078 
4602 
5126 

565o 
6174 
6698 
7221 

7745 

8269 
8792 
9316 
9839 
o3ioo362 


♦on 

0537 
1062 
1 588 

2Il3 

2639 
3i64 
3690 
42i5 
4740 

5265 
5790 
63i5 
684o 
7365 


7837  7890 


o833 
i356 
1880 
24o3 
2926 

3449 
3972 

4494 
5oi7 
5540 

6062 
6585 
7108 
763o 
8i52 


8623  8675 
9145  9197 

*   9^79719 

92001890241 

07 II 1 0763 


0886 
1409 
1932 
2455 
2978 

35oi 
4024 

4547 
5069 
5592 

6ii5 
6637 
7160 
7682 
8205 


8362 
8887 
9412 
9936 

o46 
oo85 

IDIO 

2o34 
2558 

3082 
36<>7 
4i3i 
4655 
5179 

5702 
6226 
6750 

7274 
7797 

8321 

8844 
9368 
9891 
o4i5 

0938 
i46i 
1984 
2607 
3o3o 

3553 
4076 
4599 

5l23 

5644 

6167 
6690 
7212 

7735 
8257 


8727 
9249 
9771 
0294 
0816 


84i5 
8939 
9464 
9989 

o5r3 
io38 
i562 
2086 
261 1 

3i35 
3659 
4i83 

4707 
523i 

5755 
6279 
6802 
7326 
7850 

8373 
8897 
9420 

9944 
0467 

2037 
256o 
3o83 

36o6 
4128 
465 1 
5i74 
5697 

6219 

6742 

7264 

7787 
83o9 


87798831 
9301  9354 
9824  9876 
o346  0398 
086810920 


oo63 
0589 

HID 
1640 
2166 

2691 
3217 
3742 
4267 
4793 

53i8 
5843 
6368 
6893 
7418 

7942 

8467 
8992 

9517 
♦o4i 

o566 
1090 

i6i4 
2139 
2663 

.3187 
3711 
4235 

4759 
5283 

5807 
633 1 
6855 
7378 
7902 

8426 
894 

947 

9996 

o5i9 

1043 
1 566 
2089 
2612 
3i35 

3658 
4i8i 
47o3 
5226 
5749 

6272 
6794 

7317 
7839 
836i 

8884 
9406 
9928 
o45o 
0972 


0116 
0642 
1 167 
1693 
3218 

2744 
3269 
3795 
4320 
4845 

5370 


0169 
0694 
1220 
1745 
2271 

2796 

3322 

3847 
4372 
4898 

5423 


5895  5948 
6420:6473 
6945  6 


7470 


7995 
8520 
9044 
9569 
0094 

0618 
1143 
1667 
2191 
2715 

3240 
3764 
4288 
4812 
5336 

586o 
6383 
6907 
743 1 
7954 

8478 
9002 
9525 
♦o48 
0573 

1095 
1618 

2l4l 

2664 
3187 

3710 
4233 
4756 
5279 
58oi 

6324 
6846 
7369 
7891 
84i4 

8936 
9458 
9980 
o5o2 
1024 


8047 
8572 
9097 

9621 
01 46 

0671 
1195 
1719 

2244 
2768 

3292 
38i6 
4340 
4864 
5388 

5912 
6436 
6960 
7483 
8007 

853o 

9054 

9577 
0101 

0624 

ii47 
1670 

2193 

2717 
3239 

3762 
4285 
4808 
533 1 
5853 


0221 

0747 
1272 
1798 

2323 

2849 

3374 

3900 
4425 
4950 

5475 
6000 
6525 
7o5o 
7575 

8100 
8635 
9149 
9674 
0198 

0733 

1247 
1772 
2296 
2820 

3344 
3869 
4393 
4917 
5441 

5964 

6488 
7012 
7536 
8059 

8583 
9106 
9630 
oi53 
0676 

1200 
1723 
2246 
2769 
3292 

38i5 
4338 
4860 
5383 
5906 


6376 
6899 
7421 


0274 
0799 
i325 
i85i 
2376 

2901 
3427 
3952 

4477 
5oo3 

5528 
6o53 
6578 
7io3 

7628 

8i52 

8677 
9202 
9726 

025l 

0775 

i3oo 
1824 
2348 
2873 

3397 
3921 

4445 

496' 

549 

6017 
654 1 
7064 
7588 
8112 

8635 
9682 

0305 

0729 

1252 

1775 
2298 
2821 
3344 

3867 
4390 
4913 
5435 
5958 


DifT. 


6428  648 


6951 

7473 


79437996 
8466  85 1 8 


8988 
9310 
♦o33 
o555 

1077 


70o3 
7526 
8048 
8570 

9093 
9615 

oi37 
0659 


9040 
9563 
oo85 
0607 
112911181 


Diff.  &  Mult. 


I 
2 

3 

4 
5 
6 

7 
8 


0      1234         56789 


DiflT. 


53 
106 
159 

212 

265 
3i8 
371 
424 

477 


4 


I 

I 


t 

I 

52 

2 

io4 

3 

i56 

4 

308 

5 

260 

6 

3l2 

7 

364 

8 

4i6 

9 

468 

DifT.  8c  Mult. 

t 
•VI 


) 


li 


126 


Ntim. 

8320 

a  I 

23 

■illl''kJ' 

a4 

36 
37 

a8 
29 

83  30' 

3 1 

33 

34, 

35 
36 
3? 
3S 
39 

834<> 

4a 

43 
M 

45 
46 

47 

49 

83  So 
5 1 

53 

54 

55 
56 
57 
58 
59 

83  60 

•61 
63 
63 
64 

65 
66 

07 

68 
69 

83  70 

71 
73 
73 

75 

76 

77 
78 

79 

Num. 


LOGARITHMS  OP  NUMBERS. 


0   1   2   S  4 


5  6  7  8  9 


OaO  1 233 

1755 

2277 
2799 

3321 
3842 


I285|i338|i390|i442 
1807  i860  1912  1964 
2329  238 1  2434  2486 
285 1 1 2901!  29553008 


4364  44 1 6' 
4886  4938 


3373;3425j3477 
3895 1 3947 


4468 


5407 
5929 

645o' 
6971 
7493 


5459 
5981 

65o2 
7033 
7545! 


3999 

4321 

4990  5o42 
55 1  iJ5564 
6o33.6o85 


6554 
7070 

:7597 
8118 


6606 
7128 
7649 

81  TO 


8oi4'8o66 
8535i8587,8639869i 

9212 
9733 

0254 

0775 


90%  91 08;  91 60 
#   95779629^9681 


921  00980150 
06190671 


ii4o 

1661 
3181 
270a 
3333 

3743 

4263 
4784 
53o4 
58a4 


1 1 92 
1713 

2233 

2754 
3274 
3795 

43i5 
4836 
5356 
5876 


0202 
0723 
1244 

1765 

2285 

2806 
3327 
3847 

4367 
4888 
5408 
5928 


6345  6397  6449 


6865 
7385 
7905 
8425 
8945 

9465 

♦  9984 

932  o5o4 
1024 
i543 

2o63 

2582 

3 102 
3621 

4i4o 

4659 

5i79 
5698 
6217 
6736 

7255 

7773 
8292 
8811 
9330 

•  9848 

933  o367 
o885 


6917 
7437 

7957 

^477 
8997 

9517 
♦o36 
o556 
1076 
1595 

21 1 5 

2634 
3i54 
3673 
4192 

471 1 
523 1 
5750 
6260 
6788 

73o6 

7825 

8344 
8863 
9381 

9900 

0419 
0937 
i4o4ji455 
1 922 1 1 974 


6969 
7489 
8009 
8529 
9049 

9569 
0088 
0608 
1 128 
1647 

2167 

a686 
3206 
3725 
4244 


3539 

4o5i 
4573 
5094 
56i6 
61 37 

6659 
7180 

7701 
8232 

8743 

9264 
9785 
o3o6 
0827 


1296  1 348 


1817 
2337 
2858 
3379 
3899 

4420 
4940 
5460 
5980 
65oi 

7021 
7541 
8061 
858 1 
9101 

9620 
oi4o 
0660 
1180 
1699 

2219 

2738 
3257 
3777 
4296 


4763 
5282 
58oi 
6321 


48i5 
5334 
5853 
6372 
68396891 


7358 

7877 
8396 
8915 
9433 

9953 

0470 
0989 
i5o7 
2036 


74io 

792 

844' 

8967 

9485 


1869 
2389 
2910 
343 1 
3951 

447a 
4992 
55i2 
6o32 
6553 

7073 
7593 
8ii3 
8633 
9153 

9672 
0192 
0712 

1233 
I75I 

2271 
2790 
3309 
3829 

4348 

4867 
5386 
5905 
6424 
6943 

746i 

7981 
85oo 
9018 
9537 


♦oo4 

0522 

io4i 

1559 

3077 


OOS6 
o574 
1093 
1611 
2129 


1 494 11 546 
20 1 6  2068 


2538 
3o6o 


2590 
3i  12 


3582  3634 


4io3 
4625 
5i46 
5668 


4i55 

4677 
5199 
5720 


6189  6241 


6711 

7232 
7753 
8274 
8796 

9317 
9838 
o358 
0879 
i4oo 

1921 

2442 
2962 
3483 
4oo3 

4524 

5o44 
5564 
6o85 
66o5 

7125 
7645 
81 65 
8685 
9205 


1599 

2121 


i65i 
2173 


2642  2695 
3i64  32i6 
3686.3738 


42o8'426o 
47294781 


525i 

5772 
6294 


6763 
7284 
7805 
8327 
8848 

9369 
989*) 
o4i  I 
0931 
1452 

1973 

3494 
3oi4 
3535 
4o55 

4576 
5096 
56i6 
61 37 
6657 

7177 

7697 
8217 

8737 

9257 


53o3 
5824 
6346 


68156867 
7336|7388 
785779«o 
8379' 843 « 
8900  8952 


4680 
5200 
5720 
61896241 
67096761 


97349776 


0244 
0764 
1283 
i8o3 

3323 

2843 
336i 
388i 
4400 

49' 
543 

5957 
6476 
6995 

75i4 
8o33 
8552 
9070 


I 


O20 
0816 

1 335 
i855 

2374 
2894 
34i3 
3933 
4452 

4971 
5490 
6000 
6528 

7047 

7566 
8o85 
86o3 
9122 


9421 
9942 
a463 
0983 
i5o4 

2025 
2546 
3o66 
3587 
4107 

4638 

5i48 
5668 


9473 


ODl5 

io36 
1 556 


1703 
3335 
2747 
3269 
3790 

43i3 
4833 
5355 
5876 
6398 

6919 

7440 
7963 
8483 
9004 

9535 

♦046 
o567 
1088 
1608 


Diff. 


2077  3 1 29 
2598  265o 
3i  18  3170 
3639  3691 
41594211 


7329 

7749 
8269 
8789 


7281 

7801 
8321 
8841 


93099361 


9589  9641 

0107J0159 
06260678 
ii44  1196 
i663  1715 

2l8ll3333 


9838 

o348 
0868 
1 387 
1907 

2426 
2946 
3465 
3o84 
45o4 

5o23 
5542 
6061 
658o 
7099 

7618 
8i37 
8655 

9»74 
9693 

03 1 1 

0730 
1248 
1766 
2385 


9880 

o4oo 
0920 
1439 
1959 

2478 

\tn 

4o36 
4556 

5075 
5594 
6n3 
6632 
7i5i 

7670 
8188 
8707 
9226 
9744 


4732 

5252 

5772 
6293 
68i3 

7333 

7853 
8373 
8893 
94i3 

9932 

o452 
0972 

1491 
2011 

253o 
3o5o 
3569 
4088 
4608 

5i27 
5646 
6i65 
6684 
72o3 

7723 
8340 
8750 
9278 

9796 


0263  o3 1 5 


0781 
i3oo 
1818 
2337 


o833 
i352 
1870 
2388 


0      12      3     4 


5      6     7      8      9       Diflr. 


DiflT.  k.  Mult. 


52 


1 
a 

3 
4 
5 
6 

7 
8 

9 


I 
a 
3 
4 
5 
6 

7 
8 

9 


'53 
106 
159 
212 
365 
3i8 
371 
424 
477 


5a 

1 04 
i56 
208 
260 

3l3 

364 
4i6 
468 


DifT.&Mult. 


LOGARITHMS  OF  NUMBERS. 


Num. 

8380 
81 

83 

83 
84 

85 
86 

87 
88 
89 

8390 
91 
93 

94 

96 

97 
98 
99 
84  00 
01 

03 

o3 
04 

o5 

06 
07 
08 
09 

84  10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

*9 

8420 

31 
33 
33 
24 

a5 

36 

37 

38 
29 

84  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

Num. 


0  12  3  4 


5  6   7  8  9 


933  2440 
2958 

3477 
3qq5 


4??3 

5o3i 

5549 
6066 

6584 
710a 

7620 
8i37 
8655 
9172 
•  9690 

924  0207 
0724 
1242 
1759 
3376 


3492, 2544^2596  2647 
3oio3o62i3ii4  3i66 
3528  358o:3632  3684 
4o46'4o98  4i5o4202 
4564'46i6  4668  4720 


5082  5i34  5i86  5238 

56oo  5653 J57o4: 5756 
6118617062336274 
6636668867406791 
7309 


7i54 

7671 
8189 
8707 
9224 
9741 

025o 

0770 
1293 
I8I0 

2328 


72o5 

7723 

8241 
8758 
9276 


2793  2845 
33 10  3362 


3827 

4344 
4860 

5377 
.  5894 
64io 
6927 
7444 

7960 
8476 
899 
9509 
9250025 

o54i 
io57 
1573 
2089 
2605 

3l3I 

3637 
4i52 
4668 
5i84 

5699 
6a  1 5 
6730 
7245 
7761 

8276 

8791 

9306 

•  9821 

926  o336 

o85i 
1 366 
1880 
3395 
3910 


7357 

7775 
8292 
8810 
9327 


9793  9845 


3878 
4395 
4912 

5429 

5946 
6462 

697 
749 


8012 
8528 

9044 
9561 
0077 


o3io 
0828 
1 345 
1862 

2379 

2896 
34i3 
3930 

4447 
4964 

5481 
5997 
65i4 
7o3o 

7547 

8o63 
858o 
9096 
9612 
01  a8 


o362 

0879 
1397 
1914 
243 1 

2948 
3465 
3982 

449? 
5oi5 

5532 
6049 
6565 
7082 
7598 


0593 
1625 

2l4l 

2657 


7827 

8344 
8862 

9379 
9897 

o4i4 
0931 
i448 
1966 
2483 

3ooo 
35i7 
4o34 
455o 
5067 

5584 
6101 
6617 
7134 
7650 


3172 

3688 
4204 
4720 
5235 

5751 

6266 
6781 

7297 
7813 

8337 
8842 
9357 
9873 
o387 

0902 

i4i7 
1932 

2447 
3961 


0644 
1160 
1676 
2192 
2708 

3224 

3740 
4256 

4771 
5287 

58o2 
63i8 
6833 
7348 
7864 

8379 
8894 
9409 


8ii5 
863 1 
9»48 
9664 
0180 

0696 
1212 
1728 

2244 
2760 

3276 
3791 


8167 
8683 
9199 
97i5 

0232 

0748 
1264 
1780 
2296 
281I 

3327 

3843 


4307  4359 


9924 
0439 

0954 
1469 
1983 
2498 
3oi3 


4823 
5338 

5854 
6369 
6885 
74oo 
791 5 

843o 
8945 
9460 
9975 
0490 

ioo5 
1 520 
2o35 
255o 
3o64 


4874 
5390 

5905 
6421 
6936 
745i 
7967 

8482 

8997 
9512 
♦027 
o542 

io57 
1572 
2086 
2601 
3ii6 


2699  2751  2803  2855  2907 
3217  3269  3321 13373  3425 
3736  3787  3839  3891  3943 
4254  43o5  4357,4409  4461 


4772 


4823  4875  4927:4979 


52905341539354455497 
58o8  5859  59iii5963  6oi5 
6325:6377642964816532 


7930 

8448 


6843 
736i 

7878 
8396 
8913,8965 
943  r  9483 
9948 

o466 
0983 
i5oo 
2017 
2534 


6895,6947  6 
74i3  7464 


3o5i 
3568 
4o85 
4602 
5119 

5636 
6i52 
6669 

7185 
7702 

8218 
8734 
9251 

9767 
0283 

079? 
i3i5 

i83i 

2347 
2863 

3379 

3895 
4410 
4926 
5441 

5957 
6472 
6988 
75o3 
8018 

8533 
9048 
9563 
0078 
0593 

1108 
1623 
2i38 
2653 
3167 


♦000 

o5i7 
io35 
1 552 
2069 
2586 

3io3 
3620 
4i37 
4654 
5170 

5687 
6204 
6720 

7237 
7753 


7982 

8499 
9017 

9534 
oo52 

o 

io8( 

i6o4 

2121 

3638 

3i55 
3672 
4i8. 
470! 

5222 

5739 
6255 
6772 
7280 
7805 


7o5o 
7568 

8o85 
86o3 


^6 

8o34 
855 1 

9069:9120 
958619638 


8270 
8786 
9302 
9819 
o335 

o85i 
i367 
1 883 
2399 
2915 

343o 
3946 
4462 

4977 
5493 

6008 
6524 
7039 
7554 
8070 

8585 
9100 
9615 
01 3c 
0645 


8321 
8838 
9354 
9870 
o386 


oio4 

0621 
ii38 
i655 
2172 
2689 

3206 
3723 
4240 

4757 
5374 

5791 
63o7 
6824 
7340 
7857 

8373 
8889 
9406 
9922 
o438 


0902 
i4i& 
1934 
245o 
2966 

3482 
3998 
45i3 
5029 
5544 

6060 
6575 
7091 
7606 
8121 

8636 
9i5i 
9667 
0181 
0696 


0954 
1470 
1986 

25o2 

3oi8 


01 55 

0673 
1190 
1707 
2224 
2741 

3258 

3775 
4292 
4809 
5326 

5842 
6359 
6875 
7392 
7908 

8425 
8941 
9457 
9973 
0490 

1006 

l522 

2o38 
2554 
3069 


1160 
1675 
2189 

2704 
3219 


1211 
1726 
2241 
2755 


3534 

4049 
4565 
5o8o 
5596 

61 II 
6627 
7142 

7657 
8173 

8688 
9203 
9718 
0333 
0748 

1263 

1778 
2292 
2807 


3585 
4ioi 
4616 
5i33 
5648 

6i63 
6678 
7194 
7709 
8334 

8739 
9254 
9770 
0284 
0799 

i3i4 
1829 

2344 
2858 


3270I3322  3373 


127 


Diff. 


01234         56789 


Diff.  &  Mult. 


I 
2 
3 

4 
5 
6 

7 
8 


52 

io4 
i56 
208 
260 

3l2 

364 
4i6 
468 


« ji 

'11 

.'   I!  I 
I 

11 
»■ 


I' 


I 

5i 

2 

102 

3 

1 53 

4 

204 

5 

255 

6 

3o6 

7 

357 

8 

4o8 

9 

459 

DiiT. 


Diff.  k.  MnU. 


M 


138 


LOGABITHMS  OF  NUMBERS. 


8440 

46 

4? 
48 

49 

84  5o 

5i 

53 
54 

57 

.5B 

59 

84  60 
61 
63 
63 
64 

65 

00 
67 

68 
.    ^ 

8470 

71 
72 
73 
74 

75 
76 

77 
78 

79 

84  80 
81 
8a 
83 

85 
86 

87 
88 
89 

8490 
91 
93 

od 

95 
96 
97 
98 

99 

Nnnia 


01234         56789 


020  3434j3476,3527 

39393990404a 

--^45o5  4556 

5019  5071 

55345585 


445 

4968 

3482 

5997 

65ii 

7095 

7539 
8o53 

8567 
9081 
9595 


60486099 

6562|66i4 
7076,7128 

759017642 
8 1  o5  8 1 56 

861818670 


92701090160 
06220674 


013291849335 

96469698   ' 


02 1 1 


ii36 

i65o 
ai63 

2677 
3190 

3704 
4317 
473o 
5343 
3757 


1187 
1701 

22l5 

2728 
3242 


3579 

4093 

'40O0 

5l33 

5637 

6r5i 
6665 

7>79 
7693 
8307 

8721 


974q 
0363 

0725  0777 


1239 

1752 
2266 
2780 
3293 


1290 

i8o4 

23l7 

283i 
3344 


37553806  3858 
4268  4330  4371 
4782t4833j4884 
5ao5|  5346,5397 
58o8  5859  5910 

62706321  63726424 
6783683468856937 


363o 
4i45 
4659 

5i74 
5688 

6202 
6716 
723 1 

7745 
8259 

8773 
9287 
9800 
o3i4 
0828 

1 343 

i855 
2369 
2882 
3396 

3909 

4422 
4935 

5449 
596a 

6475 
6q88 
7301 
801 4 
8526 

9039 
955a 
oo65 
0577 
1090 

1603 

3Il4 

2627 
3i39 
365i 

4i63 
4675 
5187 
5699 
6211 

6723 
7335 

7747 
8258 
8770 


9077191 28j9i79  9230  9282 

•  9588 1 9640  9691  9742  9793 

939oioooi5i|o202  0253  o3o4 

061 1 I0662J07I4  0765  0816 

1 1 33, 11741 1 335  1376  i337 


7396 
7808 

8331 

8834 

9347 

•  9859 

928  0372 

o885 

1397 
1909 

2423 
2934 
3446 

3959 

4471 
49B3 
5495 
6007 


7347 
7860 
8373 


73987449 
7911I7962 
8434i8475 


65i8 
7o3o 
7542 


8885  8937|8o88 
939894499301 
99ii|9962J*oi3 
o423  0475  0526 
09360987 


i448 
1961 
2473 
2985 
3498 

4oio 
4522 
5o34 
5546 
6o58 


io38 

i55i 
3o63 
3576 
3o88 
36oo 


i5oo 
201a 
2524 
3o37 

3549 

4o6i|4ii2 

4573  4624 
5o85  5i36 
5597  5648 
61096160 


65706621  6673 
7081  71337184 
7593I7644  7696 
8o548io5  8i568307 
85651861686B88719 


1634' i685;  1736  1787 
3145319633473298 
2656  2707  2758  2810 
3167  32 18  3269  3321 
3678  3729  3780  3833 


i838 
235o 
2861 
3372 
3883 


3682 
4196 
47»« 

5235 

5739 

6354 
6768 

7283 


3733 
4248 

4762 

5277 

5791 

63o5 
681Q 
7333 


7796  7847' 
83io  "' 


8363 

8875 
93S9 
9903 
0417 
08790931 


8834 
9338 
9852 
o366 


3785,3836 
42994351 
48 14 


5328 

5842 

6357 
6871 
7385 

78 
84i 


48654916 
5379  543 1 


5894 

64o8 
6923 
7436 

8464 


90795 

1 3  846 


1393 
1907 
a430 
3934 

3960 
4474 
4987 
55oo 
6oi3 

6526 
7039 
7552 
8o65 
8578 

9090 
9603 
0116 
0628 
ii4i 

i653 
3166 

3678 
3190 

3702 

43i5 

4737 
5339 

5751  58o2 
6263  63 1 4 


1444 
1958 
3471 
3085 
3498 

4oi2 
4525 
5o38 
555 1 
6064 

6577 
7090 
7603 
8116 
8629 

9142 
9654 
0167 
0680 
1193 

1705 
3317 
3729 
324 1 
3754 

4366 
4778 
5390 


6774,6826 
7286|7337 
7798,7849 
83io836i 
8821.8872 

93339384 
98449895 
o356  o4o7 
08670918 
1378  1439 

1889  1941 

34oij3452 

29i3'3963 

3423  3474 

3934  3985 


8937 
9441 
9955 
0468 

0982 

1496 

2000 
252S 
3o36 
355o 

4o63 
4576 
5o8o 
56o3 
6116 

6629 

7142 
7655 
8167 
8680 

9193 

9706 
0218 
0731 
1243 

1756 

3368 

3780 
3293 
38o5 

4317 
4829 

5341 
5853 
6365 

6877 
7389 
7900 
84i2 
8923 

9435 
9946 
o458 
0969 
1 480 

1992 
35o3 
3oi4 
3525 
4o36 


3888 
44o3 


8978 
9492 
♦006 

0520 

io33 

i547 

2061 

2574 
3«^8 
36oi 

4ii4 

4628 

5i4i 
5654 
6167 

6680 
7193 
7706 
8219 
8732 

9344 

9757 
0370 

0783 

1295 

1807 
2319 
283? 

3344 
3856 

4368 
4880 
5392 
5904 
64i6 

6928 
7440 
7951 
8463 
8975 

9486 
9998 
o5o9 

1030 

1 532 

2o43 
2554 
3o65 
3576 
4087 


5945 

6459 

6974 
7488 
8003 
85i6 

9o3o 

9543 
oo57 
0571 
io85 

1598 

2iia 
2625 
3 1 39 

3652 

4166 
4679 
5192 
5705 
6318 

6731 

7344 

7757 
8270 

8783 

9808 
o32i 
o833 
1346 

i858 
2371 
2883 
3395 
3907 

4419 
4931 
5443 
5955 
6467 

6979 
7491 
8oo3 

85i4 
9026 

9537 
♦049 
o56o 
1071 
i583 

2094 
2605 
3n6 
3627 
4i38 


0      12      3     4 


5     6     7     8     9 


Diff. 


Diff.  k.  Molt. 


Ditr. 


I 

2 

3 

4 
5 
6 

7 
8 

9 


I 
2 
3 

4 

5 
6 

7 
8 


5a 
io4 
i56 
208 
360 

312 

364 
416 
468 


5i 

102 
1 53 

304 

255 
3«.6 
357 
4o8 
459 


Diff.  At  Mulu 


LOGARITHMS     OF     NUMBERS. 


129 


Nam. 

8500 
01 
02 
o3 
o4 

o5 
06 
07 
08 
09 

85  10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

19 

85  ao 

31 
33 

a3 

24 

a5 
a6 

27 

a8 
29 

85  3o 
3i 

33 

33 
34 

35 

36 

37 
38 
39 

85  4o 
4i 
43 
43 
44 

45 
46 

47 
48 

49 

85  5o 
5i 

53 

53 
54 

55 
56 

57 
58 

59 
Num. 


0      12      3     4 


5     6     7     8     9 


929  4189 
4700 

531 1 

5732 
6233 

6743 
7254 
7764 
8275 
8785 

9296 

•  9806 

93oo3i6 

0826 

1 336 

1 847 
3357 
2866 
3376 
3886 


4a4o 

475 1 
5262 

5773 
6284 

6794 
73o5 
7815 
8326 
8836 


4291 
4802 
53i3 
5824 
6335 

6845 
7356 
7866 
8377 
8887 


4343,4394 
485314905 
5364  541 5 
58755926 
6386.6437 

68966947 


9347  9398 


4396 
4906 
54x5 
5925 
6434 

6944 
7453 
7963 
8472 
8981 

'  9490 

931  o568 
1017 
i526 

ao35 
3544 
3o53 
3562 


9857 
o367 
0877 
1 387 

1898 
2408 
2917 
3427 
3937 

4447 
4957 
5466 
5976 
6485 

6995 
75o4 
8014 
8523 
9032 

9541 
♦o5o 
0559 
1068 

1 577 

2086 
2595 
3io4 
36i2 


407041 2 1 


4579 
5087 
5596 
6104 
6612 

7121 
7629 
8i37 
8645 
9153 

•  9661 
932  0169 

0677 
ii85 
1692 

aaoo 
2708 
32i5 
3723 

423o 


9908 
o4i8 
0928 
1 438 

1949 
2459 
2968 
3478 
3988 

4498 
5oo8 

55i7 
6027 
6536 

7046 
7555 
8064 
8574 
9083 

9592 

oroi 
0610 
1119 
1628 

2i37 
2646 
3r55 
3663 
4172 


7407 

79*7 
8428 
8938 

9449 
9959 
0469 
0979 
1489 

2000 

25lO 

3019 
3529 
4o39 

4549 
SoSo 
5568 
6078 
6587 

7097 
7606 
8ii5 
8625 
9134 


463o 
5i38 

5647 
6i55 
6663 

7171 
7680 
8188 
8696 
9204 

9712 
0220 
0728 
1235 
1743 

225l 
2759 
3266 

3774 
4281 


4680 
5189 
5697 
6206 
6714 

7222 

773i 
8239 

8747 
9255 

9763 
0271 
0778 
1286 
1794 

3303 
2809 

33i7 
3824 
4332 


7458 
7969 

8479 
8989 

9500 
♦010 
o52o 
io3o 
1 540 

2o5i 
256i 
3070 
358o 
4090 

4600 

5iio 

5619 

612 

663 

7i48 
7657 
8166 
8676 
9185 


9643 

Ol52 

0661 
1170 

1679 
3188 

2697 
32o5 

3714 
4233 

473 1 
5240 
5748 
6257 
6765 

7373 
7781 
8289 
8798 
9306 

9814 
o32i 
0829 
i337 
1845 

3352 

3860 

3368 
3875 
4382 


9694 

0203 

0713 

I33I 
1730 

3339 

3748 

3256 
3765 
4374 

4782 
5291 
5799 
63o7 
6816 

7324 
7832 
834o 
8848 
9356 

9864 
0372 
0880 
i388 
1896 

24o3 
2911 
3418 
3926 
4433 


4445  4496  454714598 
4956  5007  5o58  5109 
5466  55 1 7  5569' 5620 
597716028  60796130 


648865396590 


6998 
7509 
8020 
853o 
9040 

9551 
0061 
0571 
1081 
1 591 

2102 
2612 

3l21 

363 1 
4i4i 

465 1 
5i6o 
5670 
6180 


7o5o 
7560 
8071 
858i 
9091 

9602 
0112 
0622 

Il32 

1643 

2i53 
2663 
3172 
3682 
4192 

4702 

52II 

5721 
623i 
66896740 

725o 


7190 

7708 
8217 

8727 


6641 


4649 
5i6o 

5671 
6181 
669a 


9745 
0254 
0763 
1272 
1781 


7759 
8268 

8777 


9236  9287 

9796 
o3o5 
0814 


2290 
2798 
33o7 
38i6 
4324 

4833 
5341 
585o 
6358 
6867 

7375 
7883 
8391 
8899 
9407 

9915 
o423 
0931 
1439 
1946 

2454 
2963 
3469 

3977 
4484 


i323 
i832 


7101 
761 1 
8122 
8632 
9142 

9653 
oi63 
0673 
ii83 
1694 

2204 
2713 

3223 

3733 
4243 

4753 
5262 

5772 
6282 
6791 

73oo 
7810 
83i9 
8828 
9338 

9847 
o356 
o865 
1 374 
i883 


2341 
2849 
3358 
3867 


7i52 
7662 
8173 
8683 
9194 

9704 
0214 
0724 
1234 
1745 

2255 

2764 

3274 

3784 

4294 

48o4 
53i3 
5823 
6333 
6842 

735 1 

7861 

8370 

887( 

938i 

9898 

0407 
0916 
1425 
1933 


2391 
2900 
3409 
3918 


4375  4426 


4884 
5392 
5901 
6409 
6917 

7426 
7934 
8442 
8950 
9458 

9966 

o474 
0982 
1489 
1997 

25o5 
3oi2 
3520 
4027 
4535 


72o3 

77i3 
8224 
8734 
9345 

9755 
0265 
0775 
1285 
1796 

23o6 
2815 
3325 
3835 
4345 

4855 
5364 
5874 
6383 
6893 

74o2 

7912 
8421 
8930 
9439 

9949 
o458 
0967 
1475 
1984 


Dim 


4935 
5443 

5953 
646o 

6968 

7476 

7985 
8493 

9001 
9509 

♦017 
o525 
io32 
i54o 
2048 

2555 
3o63 

3571 
4078 
4585 


2442 
2951 
3460 
3968 

4477 

4986 
5494 

6002 
65ii 
7019 

7527 
8o35 

8544 
905  2 
9560 

0067 
o575 
io83 
1 591 
2099 

2606 

3ii4 
3621 
4129 
4636 


2493 
3oo2 
35ii 
4019 
4528 

5o36 
5545 
6o53 
6562 
7070 

7578 
8086 

8594 
9102 
9610 

0118 
0626 
ii34 
1642 
2149 

2657 
3i65 
3672 
4i8o 
4687 


12      3      4 


5      6     7      8      9 


17 


Diff.  &  Mult. 


5l 


I 

5i 

2 

103 

3 

1 53 

4 

3o4 

5 

255 

6 

3o6 

7 

357 

8 

4o8 

9 

459 

Diff. 


i 


I 

5o 

3 

100 

3 

i5o 

4 

300 

5 

35o 

6 

3oo 

7 

35o 

8 

4oo 

9 

45o 

Diff.  t  Mulu 


i 


r  11 


130 


LOGAKITHMS    OF    NaMBEBS. 


Ntun. 


Oi 


01234         56789 


933  473814788 

5345  5296 

58o3 


7274 
7781 
8288 
8795 
9301 

•  9808 
933o3i5 

0822 
1 328 
i835 

a34i 
3848 
3354 
386o 
4367 

4873 
5379 


4839 

5346 

5854 

636i 

6868 

7375 
7882 


48904941 

5397:5448 
59045955 
64i2|6462 
69196969 

742617476 
79337983 


8389  8440  8490 
8890  8947  8997 
94o3  9453  9504  9555  9606 


58855936 


6391 
6897 

74o3 
7909 
84i5 
8920 
94a6 


6442 
6948 

7454 

7959 

8465 

897 

9477 


5o42 
5549 
6o57 
6564 
7071 

7527  7578 
8o34  8o85 
854 1  8592 
9048  9099 


61 58 
6665 
7122  7172 


5i44|5i94 
565 1  5702 


♦  99329982 
934  o437|o488 

0943 
i448 
1953 

2459 
2964 
3469 
3974 
4479 

4985 
5489 
5994 
6499 
7004 


9960 

0467 
09741 
1 480 
1987 

2493 
3ooo 
35o6 
4oi2 
4519 

5o25 
553 1 
6037 
6543 
7049 

7555 
8061 
8566 
9072 
9578 

oo83 
0589 
1094 
1600 
2io5 


♦on 
o5i8 
1024 
i53i 
2037 

2544 
3o5o 
3557 
4o63 
4569 

5075 
558 1 
6088 

6594 

7099 

7605 
8111 
8617 
9123 
9628 

01 34 
0639 
114^ 
i65o 
2i56 


a553 
3o57 
356i 
4o65 
4569 


7o54|7io5 

7559 
8064 
8568 
9073 
9578 


5187 
5691 
6196 
6701 
7206 

76607711 
8i65  82i5 
86698720 
91749224 
9678  9729 

01 83  0233 
0687  0738 
1 191  1242 
1696  1746 

2200  225o 

2654  2704  2754 
3i58  3208  3259 
366237123763 
416642164266 
467oi472ol4770 


0062 
o568 
1075 
1 582 
ao88 

2595 
3ioi 
3607 

4ii4 

4620 

5i26 
5632 
61 38 

6644 
7i5o 

7656 
8162 
8668 
9173 
9679 

0184 
0690 
1 195 
1701 
2206 


0112 
0619 
1 1 26 
i632 
2139 

2645 
3i52 
3658 
4i64 
4670 

5i77 
5683 
6180 
6695 
7201 

7707 
8212 
8718 
9224 
9729 

0235 
0740 
1246 
i75i 
2257 


7629 
8i36 
8643 

9149 
965i 

oi63 
0670 
1176 
i683 
2189 

2696 

3202 

37o< 


5227 
5733 
6239 
6745 


6209 
6716 
7223 

7679(7730 
81868237 
8693  8744 
9200  925i 
970797^8 

0264 
0771 
1278 

1784 
2291 

2746 
3253 
3759 
4265 

4772 


5278 

5784 
6290 
6796 
72  5 1  73o2 


7757 
8263 
8769 
9274 
9780 

0286 
0791 
1296 


5328 

5834 
634 1 

6846 
735a 

7858 
8364 
8870 
9375 
9881 


2762 

3267 
3772 
4277 
4783 


,  1 347 
1802  1 852 
23o7  2358 


7808 
83i3 
8819 
9325 
983 1 

o336  0387 
0842  0892 


2812 
33i8 
3823 
4328 
4833 


7761 
8266 
8770 
9275 
9779 

0284 
0788 
1292 

1797 
23oi 

2805 

3309 
38i3 
43i7 


7812 
83i6 
8821 
9325 


2863 

3368 
3873 
4378 
4884 

5388 
5893 


983098809931 


o334 
o838 
1343 
1847 
235 1 

2855 
3359 
3863 
4367 


482i|487 


7862 
8367 

8871 
9376 


o385 
0880 
1393 
1897 
2402 


6903 
74o8 

7912 

8417 
8922 
9426 


1398 
1903 
2408 

2914 

3419 
3924 
4429 

4934 

5439 
5944 


63986449 


0435 
0939 

1444 
1948 
2452 


29062956 
3410  3460 

39143964 
44184468 
4922  4972 


6954 
7458 

7963 
8468 
8972 

9477 
9981 

o485 
0990 

1494 
1 


3oo6 
35ii 
4oi5 

45r8 

5022 


Diff. 


Diffl  k  Mult. 


NllTl. 


7     8     9 


Diff. 


I 

5i 

2 

102 

3 

1 53 

4 

204 

5 

255 

6 

3o6 

7 

357 

8 

4o8 

9 

459 

Diff.  &  Molt. 


LOGARITHMS    OF     NUMBERS 


131 


Num. 


8620  1 935  5073 


0      12      3     4         5     6      7     8     9 


21 

32 
23 

24 

a5 

36 

27 
28 
29 

86  3o 
3i 

32 

33 

34 

35 
36 

37 
38 

39 

86  4o 

41 
42 
43 
44 

45 
46 

47 
48 

49 

86  So 

5i 

52 

53 

54 

55 

56 

57 
58 

59 

8660 
61 
62 
63 

64 

65 
66 

67 
-      68 

69 

8670 

71 
72 
73 
74 

75 
76 

77 
78 

79 
Num. 


5576 
6080 

6584 
7087 

7591 
8095 
8598 
9101 
♦  9605 

9360108 
0611 
iii4 
1617 

3I20 


5i23 
5627 
6i3i 
6634 
7i38 

7641 
8i45 
8648 
9x52 
9655 

oi58 
0661 
ii65 
1668 
2171 


5173 

5677 
6181 
6685 
7188 


5224 
5728 
623i 
6735 
7239 

7742 
8246 

8749 
9252 

9756 

02090259 
07120762 


7692 
8195 
8699 
9202 
9705 


-  2623 
3126 
3629 
4i32 
4635 

5i37 
564o 
6143 
6645 
7148 

7650 
8i52 
8655 
9157 
*  9659 

9370161 
o663 
ii65 
1667 
2169 

2671 

3172 

3674 
4176' 
4677 

5i79 

568o 

6182 
6683 
7184 


I2l5 

1718 
2221 

2724 
3227 
3730 
4233 
4735 


1265 
1768 
2271 


5274 
5778 
6282 
6785 
7289 

7792 
8296 

8799 
93o3 
9806 

o3o9 
0812 
i3i6 
1819 

2322 


2674 

3177 

3679 
4182 

4685 

5 188  5238 

5690  5741 
6193  6243 
6695  6746 


7198 

7700 
8203 
8705 
9207 
9709 


7248 

775o 
8253 
8755 
9257 


2774 
3277 
3780 
4283 
4786 

5288 
5791 
6293 
6796 
7298 

7801 
83o3 
88o5 
9307 


0211 
0713 

I2l5 

1717 

2219 
2721 

3223 

3724 

4226 

4728 

5229 

5731 

6232 

6733 

7235 


97599810 

o3i2 

o8i4 
i3i6 


0261 
0764 
iq65 
1767 
2269 


2771 
3273 
3775 
4276 
4778 

5279 
5781 
6282 
6783 
7285 


7686 
8187 
8688 
9189 
•  9690 

938  01 91 
0692 
1 193 
1693 
2194 

2695 
3195 
3696 
4196 
4697 


1818 
2319 

2821 
3323 
3825 
4326 
4828 

5329 
583 1 
6332 
6834 
7335 


2825 
3327 
383o 
4333 
4836 

5338 
584 1 
6344 
6846 
7349 

785 1 
8353 
8855 
9358 
9860 

o362 

o864 
1 366 
1868 
2370 


7736 
8237 
8738 
9239 
9740 

oa4i 
0742 
1243 
1744 
2244 

2745 
3245 
3746 
4247 
4747 


2871 

3373 
3875 
4376 
4878 

538a 
588 1 
6382 
6884 
7385 


7786  7836 
8287  8337 
8788  8838 
9289  9339 
9790 


0291 
0792 
1293 
1794 
2294 

2795 
3296 
3796 
4297 

4797 


7886 
8387 
8888 
9389 
98409890 

0391 


o34i 
0842 
i343 
i844 
2344 

2845 
3346 
3846 
4347 
4847 


5325 
5828 
6332 
6836 
7339 

7843 
8346 
885o 
9353 
9856 

o36o 
o863 
i366 
1869 
2372 

2875 
3378 
388i 
4383 
4886 

5389 
5891 
6394 


0892 
1393 
1894 
2394 

2895 
3396 
3896 
4397 
4897 


5375 

5879 
6382 

6886 
7390 

7893 
8397 
8900 
94o3 
9907 

o4io 
0913 
i4i6 
1919 
2422 


5425 
5929 
6433 


5476 
5970 
6483 


6936  6987 


2925 
3428 
3931 

4434 
4936 

5439 

5942 

6444 

6896  6947 


7399 

7901 
84o3 
8906 
9408 
9910 

o4i2 
0914 
i4i6 
1918 
2420 


7449 

7951 

8454 
8956 
9458 
9960 

0462 

0964 
1 466 
1968 
2470 


7440 

7943 

8447 
8950 

9454 
9957 

o46o 
0963 
i466 
1970 
2473 

2975 

3478 
3981 

4484 

4987 

5489 
5992 

6494 
6997 

7499 
8002 
85o4 
9006 
9508 
♦010 


7490 

7994 

8497 
9001 


5526 
6o3o 
6533 

7037 
7541 

8044 
8548 
905 1 


2922 
3423 
3925 

4427 
4928 

543o 
5931 
6432 


9504  9554 
oo58 

o56i 
1064 
1567 
2070 
2573 

3076 

3579 
4082 

4584 
5087 

5590 
6092 
6695 
7097 
7600 

8102 

8604 

9'07 
9609 

OIIl 


♦007 

o5ii 
ioi4 
i5i7 
2020 

2523 

3026 
3529 
4o3i 
4534 
5o37 

5540 
6042 
6545 

7047 
7550 

8o52 
8554 
9056 
9559 
0061 


2972 

3474 
3975 

4477 

4978 

54go 
5981 
6483 


69346984 


7435 

7936 

8437 
8939 
9440 
9941 

o44i 
0942 
1443 
1944 
2445 

2945 
3446 


7485 

7986 
8488 
8989 
9490 
9991 

0492 
0992 
1493 
1994 
2495 

2995 
3496 


o5i3 
ioi5 
i5i6 
2018 

2520 

3022 
3524 
4025 
4527 
5028 

553o 
6o3i 
6533 
7034 
7535 


o563 
io65 
1 567 
2069 
2570 

3072 

3574 
4075 
4577 
5079I5 


o6i3 
iii5 
1617 
2119 
2621 

3l22 

3624 

4126 

4627 

129 


Diff. 


8o37 
8538 
9039 
9540 
♦o4i 

o542 
1042 
i543 
2o44 
2545 


558o 
6082 
6583 
7084 
7585 

8087 
8588 
9089 
9590 
0091 

0592 
1093 
1593 
2094 
2595 


3o45 
3546 


563o 
6i32 
6633 

7134 
7636 

8i37 
8638 
9139 
9640 
oi4i 

0642 
1143 
1643 
2i44 
2645 


3095 
3596 
{4096 


3946  3996  4o46 
4447  4497  4547 14597 
4947  4997I5047  5097 


3i45 
3646 
4i46 
4647 
5i47 


01234         56789 


Diff.  &.  Mult. 


2 
3 
4 
5 
6 

7 
8 


5i 
102 
i53 
2o4 
255 
3o6 
357 
408 
459 


I 

5o 

2 

100 

3 

i5o 

4 

200 

5 

25o 

6 

3oo 

7 

35o 

8 

4oo 

9 

45o 

■J. 


^'1 

I       1 

\ 

1, 


Diff. 


Diff.  &  Mult. 


Itt 


Nam. 

8880 

8i 

83 

as 

84 


Nam. 


LOGARITHMS     OF     NUMBERS 


0      1234         56789 


938  5i97i5247  5297t5347,5397 

HfirM  Hmjiu  dtt  i;u^»  calQ 


56985748 
6198  6248 


7698 
8198 
8698 
9198 
•  9698 

9890198 
0697 
1 197 
1697 
2196 

2696 
3195 

3695 

4194 
4693 

5193 
5692 
6191 


5798 
6298 
6798 
7298 

7748 
82488398 
8748 "  ~ 
9248 
9748 


7688 
8187 
8685 
9184 
•  9683 

9400182 
0680 
1179 

1677 
2176 


3746  2796 
3245  3295 
3745  3795 
4M4  4394 
4743  4793 

5292 
5792 
6291 
6790 
7239  7289 


7738 
8237 
8735 

9234 
9733 


2674  2724 

3172  3222 

36708720 
41694218 


4667471747664816 


5i65 
5663 

6161 


96459695 

0192 
0690 
1187 
1684 
2182 

2679 

3170 
3673 
4170 
4667 


52i5 

5713 
6211 


6659  6709 
71577206 

7654 
8i52 
865o 
9147 


7788 
8286 
8785 
9284 
9783 


2774 
327a 
3770 
4268 


7704 
8202 
8700 
9197 


5264 
5762 
6260 
6758 
7256 

7754 
8252 


5848  5898 
6348  6308 
6848:6898 
73487398 

7848 
8348 
8848 
9348 
9848 

o348 
0847 
1 347 

■  847 
3346 

2846 
3345 
3845 

4344 
4843 

5342 
584 1 
634 1 
684o 
7339 

7837 
8336 
8835 
9334 
9833 

o33i 

o83o 
1 328 
1827 

3335 


2823 

3322 

3820 
43i8 


9247 
9744 

0243 
0789 
1237 
1734 

223l 

2729 
3220 
3723 
4320 
4717 


53i4 
58i2 
63 10 
6808 
73o6 

7804 
83oi 


8749  8799 


9297 

9794 

0292 

0780 


2778 
3275 

3772 
4270 
4766 


7887 
8386 
8885 
9384 
988a 

o38i 
0880 
1878 
1877 
2875 

2873 
8872 
3870 
4868 
4866 

5864 

5862 
6860 
6858 
7356 


2828 
3825 

3823 

43 1 

48 


\t 


5447 
5948 
6448 


7448 

7948 
8448 
8948 
9448 
9948 

o448 
0947 
1447 
1947 
2446 

2946 

3445 
3944 
4444 
4943 

5442 
5941 
6440 


69486998 


5497,554715598 
599860486098 
6498  6548  6598 
"  -70487098 


7498  7548 


7998 
8498 

8998 


7987 
8436 


89858985 


9434 
9983 


54i4 

591a 
64io 


7908 
84oi 


0498 
0997 

1497 
1997 
2496 

2996 
3495 

3994 
4494 
4993 

5493 
5991 
6490 


8o48 
8548 
9048 


9498  9548  9598 
9998*0480098 


7987 
8486 


9483 
9982 


2978 

3471 


2928 
8421 
8920 
44i8 


49164966 


5464 
5963 
646o 


69086957 
74o5  7455 


o548 

1047 
1 547 
2o46 
2546 

3o45 
3545 
4044 
4544 
5o43 

5542 
6o4i 
654o 
7080 
3o 


8098 
8598 
9098 


7538  7588 


8087 
8586 
9085 
9583 
♦082 


3oa3 

35a  1 
4019 

45i7 
5oi5 

55i3 

601 

6509 

7007 

75o5 


0598 
1097 
1597 
2096 
2596 

8095 
3595 
4094 
4598 
5098 

5593 
6091 
6590 


5648 
6i48 
6648 
7»48 
7648 

8i48 
8648 
9' 48 
9648 
01 48 

o648 

ii47 
1647 
3i46 
2646 

3i45 
3645 

4(44 
4643 
5i43 

5642 

6i4i 
6640 


70897189 
"  7638 


8087 

8586 
9084 
9583 
0082 


88998948 


9896 
9894 

0891 
0889 

i883 
a88o 


7953  8oo3 


845i 


9446 
9943 

o44i 
0938 
1 436 
1933 
243o 

3927 
8425 
8933 
4419 


85oo 
8998 

9496 
9993 

0491 
0988 
1 485 
1983 
3480 

2977 
3474 
8971 
4468 


8078 
3571 
4069 
4567 
5o65 

5563 

6061 


49T6  4965 


7057 
7555 

8o53 
855o 
9048 
9545 
♦043 

o54o 
1088 
1 535 
3082 
353o 

3o37 
3534 
4o2i 
45i8 


8187 
8636 
9134 
9688 
0183 


8122 
36a  I 
4119 
4617 
5ii5 

56i8 
6111 


65596609 


7107 
7605 

8102 
8600 

9595 
0093 

0590 
1088 
1 585 
ao8a 
2579 

8077 
3574 
4071 
4568 


5oi5l5o65 


01234        56789 


DiC 


Ditr.  &  MalU 


5o 


I 

5i 

a 

102 

3 

1 53 

4 

3o4 

5 

355 

6 

806 

7 

357 

8 

408 

9 

459 

I 

5o 

a 

100 

3 

i5o 

4 

aoo 

5 

a5o 

6 

800 

7 

35o 

8 

400 

9 

45o 

Dim      DiflT.  Jb  Mult 


LOGARITHMS     OF    NUMBERS. 


133 


:fi 


Nuin. 

8740 

4i 
42 
43 
44 

45 
46 

47 
48 

49 

8750 
5i 
5a 
58 
54 

55 
56 

57 
58 
59 

8760 
61 

63 

63 
64 

65 
66 

67 
68 

69 

8770 

71 
72 

73 

74 

■    75 
76 

77 
78 

79 
8780 
81 
82 
68 
84 

85 
86 
87 
88 
89 

8790 
91 

94 

96 

98 
99 

Num. 


0      12      3     4 


94l5ii4 

56ii 
6108 
66o5 


7101 

7598 
8095 
8591 
9088 
*  9584 

9420081 

o577 
1078 

1569 
2o65 


5i64j53i4 
566i  5711 
6i58J6207 
6654  6704 
7201 

7697 


7i5i 

7648 
8144 
864 1 
9187 
9634 

01 3o 
0626 
1138 
1619 

3II3 


5263  53i3 
57605810 
62576807 
67546808 


8194 
8691 

9187 
9683 

0180 
0676 
1 1 72 
1660 
2i65 


2562 

8o58 
3553 
4049 
4545 

5o4i 
5537 
6082 
6528 
7034 

7519 
801 5 
85i6 
9005 
9501 

*  9996 

943  0491 

0986 

i48i 

1976 

247J 

2966 
3461 
3956 
445o 

4945 
5440 
5934 

^'? 
6923 

7418 
7912 
84o6 
8900 
9895 

•  988 
944  o38 
0877 
1871 


7250 

7747 
8244 
8740 
9237 
9733 

0229 
0726 

1322 

I718 
32l4 


261 1 

3 1 07 
36o3 

1^ 

509! 
5586 
6082 
6578 

7078 

7569 
8064 
856o 
9055 
955( 

♦045 
o54i 
io36 
i53i 
2026 


7300 

7797 
8293 
8790 
9286 
9788 

0279 
0775 
137a 
1768 
2264 


2661 

3i57 
3653 
4i49 
4644 


252T 

3oi6 
35io 
4oo5 
45oo 


it 

5984 
6478 


5i4o 
5636 
6182 
6627 
7123 

7618 
8ii4 
8609 
9104 
9600 

0095 

o5o 

io85 

i58o 

2075 

2570 
3o65 
356o 
4o55 
4549 

5o44 
5539 


3710 
8306 
3702 

4198 
4694 

5190 
5686 
6181 

6677 

7172 


2760 
3256 
8753 
4248 
4744 

5289 
5735 
6281 
6726 
7222 


7668 
8i63 
8659 
9154 
9649 

0144 
0640 
ii85 
1680 

2125 
2620 

3ii5 
3609 
4io4 
4599 

5094 

5588 

6o33l6o83 


6528 


1 865 


2358 

2852 

3346 
384o 
4333 


6973 

7467 
7961 

8456 
8950 
9444 

9938 
o48a 
0926 
1420 
1914 

2408 
2902 
3395 
8889 
4383 


7022 

75i7 
801 1 

85o5 

8999 

9493 

9988 
0482 
0976 

1470 
1968 

2457 
2951 
3445 
8988 

4432 


6577 
7072 

7566 
8060 
8555 
9049 
9543 

♦087 
o58i 
1025 
i5io 
201  d 


5   6   7   8   9 


5363  5412 
586o  5909 
6356  64o6 
6853  6903 
7350  7899 


5462155 1 215562 
5959J6009I6058 


7846 
8343 
8840 
9336 
9882 

082 

082S 

1821 

1817 

23i3 


7896 
83  ~ 
8889 
9386 
9882 

0378 
0875 
1 371 
1867 
2363 


645 

6952 

7449 

7946 

8442 

893 

943 

9932 

0428 
0924 
1420 

1917 
24i3 


7717 
8218 
8708 
9304 
9699 

0194 
0689 
ii84 
1679 
2174 

2669 
8164 
3659 
41 54 
4648 

5i43 
5638 
6i32 
6627 
7121 

7615 
8110 
86o4 
9098 
9592 

0086 
o58o 
1074 
1 568 
2062 


2810 
33o6 
38oi 
4297 
4793 

5289 
5785 
6280 

6776 
7271 

7767 
8262 
8758 
9253 
9748 

0244 
0789 

1384 
1729 
2224 


2719 

8214 
3708 
42o3 
4698 

5192 

5687 
6182 
6676 
7170 

7665 
8159 
8653 
9148 
9642 

01 36 
o63o 
1 1 24 
1618 


2859 
3355 
385 1 

4347 
4843 

5339 
5834 
633o 
6825 
7321 

7816 
83i2 

8807 


\U 


340 
3ooi 


65o5 
7002 

7499 
7995 
8493 
8988 
9485 
9981 

0478 
0974 
1470 
1966 
2462 

2958 
3454 
3950 
4446 


6555 


7o52 
7548 

8o45 
8542 
9088 
9535 
♦o3i 


4397  -,-,^ 

4892I494 

5438 

5988 

642 

692 

7420 


5388 
5884 
6379 
6875 

7871 

7866 
8861 
8857 


93o3  9352 
9798 


7916 
84ii 
8906 
9402 
9897 


25o7 
3ooo 

3494 
3988 
448i 


2556 
3o5o 
3543 
4087 
458i 


2112 

2605 
3099 
3593 
4086 
458o 


0293 

0788 
1283 
1778 
2278 

2768 
8268 
3758 
4253 
4747 
5242 

5787 

623i 
6726 
7220 

771 4 
8209 
8703 

9691 

oi85 
0679 
1 173 
1667 
2161 


9847 

343  0892 
0887 
1882 

1877 
2372 

2867 


o838 
1 333 
1828 
2823 

2818 


3807 
43o2 

4797 


0527 
1023 
1 520 
2016 

25l2 

3oo8 
35o4 
4000 

4496 
4991 

5487 
5988 

6479 
6974 

7470 

7965 
846i 
8956 
9451 
9946 

0442 
0987 
1 432 
1927 
2422 


33i3  3363 


3857 
4352 
4846 


5291  5341 
5786  5835 


6280 
6775 
7269 

7764 
825« 
8752 
9246 
9741 

0235 
0729 
1228 
1716 
2210 


2655 
3i48 
3642 
4i36 
4629 


633o 
6824 
7819 

7818 
83o7 
8802 
9296 
9790 

0284 
0778 
1273 
1766 
3260 


Diff. 


DiflT.  &  MulU 


2704 
3198 
3691 

4i85 
4679 


2753 
3247 
3741 
4284 
4728 


2917 
3412 
3906 
4401 
4896 

5390 
5885 
6879 
6874 
7368 

7868 
8357 
885i 
9345 
9889 

o333 
0827 
1821 
i8i5 
2809 

2808 

3297 
3790 
4284 

4777 


0     1 


3      4 


5      6      7      8     9 


I 
2 
3 

4 
5 
6 

7 
8 


5o 
100 
i5o 
200 
25o 
800 
35o 
4oo 
45o 


tfl 


I 

2 

$ 

3 

i47 

4 

196 

5 

245 

6 

394 

7 

343 

8 

892 

9 

44i 

Diir. 


Diff.A:Molt 


134 

Niim. 

§800 

m 
02 
o3 
M 

o5 

06 

07 
08 
09 

8810 
II 
la 
i3 

14 

iS 
16 

17 
t8 

do  iilCl 

31 
93 

M 

a6 
27 
a8 
39 

88  3o 
3i 
3a 
33 
34 

35 
36 
37 
38 
39 

8840 
4i 
42 
43 
44 

45 
4o 

47 
48 

49 

88  5o 

Si. 
5a 
53 
54 

55 
56 
57 
58 

59 


LOGARITHMS  OF  NUMBERS. 


012      34         567891 


I  #44  4«27j4876  4926  4975(5oa4 
54195468  55 18 


5320';537o 
58 1 4: 5863 
63o7'6356 
6800  685o 


7294 

7787 
8280 

8773 
9266 

9759 


7343 

7836; 


5912  5962 
64ci6  6455 
6899^6948 

7392!  7442 
78857935 


832983798428 


945  02  5  2 
0745 
1238 
1730 

aa33 

3716 
3208 
3701 
4193 

4686 

5178 

5671 
6i63 
6655 


8822 
93i5 

9808 
o3oi 
0704 
1287 
1780 

2272 
3765 
3258 
3750 
4243 

4735 
5227 
5720 
6212 


8872  8921 
93659414 


9858 
o35t 
0843 
1 336 
1829 

2333 

28 1 4 


9907 

04000449 


0893 
1 386 
1878 

2371 
2864 


33o7  3356 
3799  3849 


7147 
7639 

8i3i 

8623 

9115 

•  9607 

9460099 

0591 

1082 

1 574 

-  2066 
355? 
3o49 
3540 
4o3i 


4533 

5oi4 
55o5 
5906 
6487 

697® 

7469 


7196 
7688 
8180 
8672 
9164 

9656 
01 48 
0640 
ii3i 
1623 

2Il5 

2606 
3098 
3589 
4o8o 


4292 

4784 
5277 
5769 
6261 


6704  6753 


7246 
7738 
8230 
8722 


4341 

4834 
5326 
58i8 
63 10 
68o3 

7ao5 

7787 
8279 

8771 


601  f 
65o4 
6998 

7491 
7984 

8477 
8970 
9463 

9956 


92149263 


79608009 


845i 
8943 

9433 
•  9923 

9470414 
ooo5 
1395 

1886 
3376 
2866 
3357 
3847 


4572 
5o63 
5554 
6045 
6536 

7027 
75i8 


9705 
0197 
0689 
1181 
1672 

3164 

2655 

3i47 
3638 
4i3o 


9755 
0246 
0738 
i23o 
1721 


4631 

5f  13 

56o3 
6094 


85oo 
8991 

9482 
9973 
o463 
0954 
1444 

1935 
3425 
2915 


65866635 


7077 
7568 
8o58 
8549 
9040 

9531 
♦022 

05l2 

ioo3 
1493 

1984 
3474 
2965 


32l3 

2705 
3196 
3687 
4179 

4670 

5i6i 

5652 
6144 


7136 

7617 
8108 
8598 
9089 

9580 
0071 
o56i 
io52 
1542 

2o33 

3533 

3ot4 
35o4 


34o6|3455 

3896' 3945  3994  4043 


0943 
1435 
1928 

2430 
3913 

34o5 
3898 
4390 

4883 
5375 
5867 
636o 
6853 

7^44 
7836 
8338 
8820 
931 3 

9804 

0296 
0787 
1279 

1771 

3263 

3754 
3245 

3737 
4328 

4719 
5210 

5703 

6193 

6684 

7175 
7666 
8157 
864? 
91 38 

9639 

0130 
0610 
1 101 
1591 

ao8a 
3572 

3o63 
3553 


5073 
5567 
6060 
6554 
7047 

7540 
8o33 
8527 
9020 
951 3 

♦006 
0498 
0901 

i4»4 
1977 


5l33.5l72j5222 

56i6  5666  5715 
61  io'6i5962o8 
6652,6702 
7146  7195 


2469 
3963 
3455 
3947 
4440 

4933 

5434 
5917 
6409 
6901 


66o3 
7096 

7590 
8o83 
8576 
9069 
9562 

oo55 
o548 
104 1 
1 533 
3026 


7393 

7885 
8377 


25i9 

3oi 

35o4 

3906 

4489 

4981 

5474 
5966 
6458 
6950 


744a 
7934 
8426 
88698918 
94io 


7639 
8i32 
86a5 
9118 
9611 

0104 
0597 
1090 
1 583 
2075 

2568 
3o6t 
3553 
4o46 
4538 

5o3i 
5523 
6or5 
65o7 
7000 


7688 
8181 

8674 
9167 
9660 

oi53 
0646 
1 139 
i632 

3125 


9361 
9853 

o345 


o836o8^ 
1 328  1377 
1869 


9003 
o3o4 


7492 
7984 
8476 
8968 


i8ao 


33 1 1 

a8o3 
3294 
3786 
4377 


4768 
5a6o 
575 1 
6342 
6733 


a36o 

2852 

3343 
3835 
4326 


4817 
53o9 
58oo 
6291 
678a 


7334  7373 


771 5 
8206 
8697 
9187 

9678 
0169 

0659 
n5o 
i64o 

ai3i 
363 1 

3f  12 
36o2 


7764 
8255 
8746 
9336 

9727 
0218 
0708 

:^ 

3i8o 

2670 
3r6i 
365 1 


9951 
0443 
0935 
1426 
1918 

2410 
2901 
3393 
3884 
4375 

4867 
5358 

5849 
634o 
683 1 


2617 
3iio 
36o2 
4095 
4587 

5o8o 
5572 
6<)64 
6557 
7049 


7541 
8o33 
8525 
9017 


9459  9509  9558 


7322 

7813 
83o4 
8795 
9385 

9776 
0267 
0757 
ia48 
1739 

3339 
2719 

3210 

3700 


♦000 
0492 

0984 
1476 
1967 

3459 

2950 
3442 

3933 
4424 

4916 
5407 
5898 

6389 
6880 


5271 

5764 
6258 
6751 
7244 

7737 
823i 
8724 
9217 
9710 

0203 

0696 

1 188 
I68I 
3174 

2667 
3i59 
3652 

4r44 
4637 

5129 
5621 
6!i4 
6606 
7098 

7590 
8082 

8574 
9066 


40921414114190 


7371 
7862 
8353 
8844 
9335 

9825 
o3i6 
0807 
1397 
1788 

3378 
2768 
3259 
3749 
4239 


oo5o 
o54i 
io33 
1525 

30l6 

35o8 

3491 
3982 

4474 

4965 
5456 

5947 
6438 
6939 

7420 

79" 
84o3 
8893 
9384 

9874 

o365 
o856 
1 346 
1837 

2337 
2817 
33o8 

4288 


Nuni. 


01234         56789 


iNflr. 


DiC  ^  Malt. 


I 
3 
3 

4 
5 
6 

7 
8 

9 


Diflr. 


I 
2 

3 

4 
5 
6 

7 
8 

9 


5o 
100 
i5o 
200 
25o 
3oo 
35o 
4oo 
45o 


1 47 
196 
345 
394 
343 
39a 
44i 


DiC  k.  Molt 


LOGARITHMS     OF     NUMBERS. 


135 


Num. 

8860 

61 
62 
63 
64 


0   12   3  4 


5  6  7  8  9 


I 


65 
66 

67 
68 

69 

8870 

71 
72 

73 
74 

75 

76 

77 
78 

79 

8880 
81 
83 
83 
84 

85 
86 

87 
88 
89 

8890 

91 
9? 

^] 
94 

96 

9Z 
98 

99 

8900 
01 
02 
o3 
o4 

o5 
06 
07 
08 
09 

89  10 
II 
12 
i3 

i4 

i5 
16 

17 
18 

19 

Num. 


947  4337  4386  4435 
4827  4876  4925 
5317  5366  54x5 
5807  5856  5905 
6397  6346  6395 

678768366885 
7277  7326  7375 
776778167865 
8257  83o6  8355 
8747  8796  8844 

9236  9285 

*  97269775 

948  02 1 5  0264 

0705  0754 

1 194  1243 

i684  1733 
21733332 
2662  27 1 1 
3i5i  3200 


4484 
4974 
5464 
5954 
6444 

6934 
7424 
7914 
84o4 
8893 

9383 
9873 
o362 


364 1  3689 
4i3o 


949 


4619 
5io8 

5597 
6o85 

6574 
7063 
7552 
8o4o 
8529 

9018 

9506 
5 


0971 

1 460 
1948 
2436 
2924 
3413 

3900 

4388 
4876 
5364 
5852 


4t79 
4668 

5i57 

5646 

61 34 

6623 
7112 
7601 
8089 
8578 

9066 
9555 
♦043 
o532 
1020 


9334 
9824 
o3i3 

(>8o3|o852 
1292  1 341 

1781  i83q 

3271I2320 

2760 

3249 

3738 

4237 

4717 
52o5 

5694 
6i83 


2809 
3298 

3787 


4533 
5o23 
55i3 
6oo3 
6493 

6983 

7473 
7963 
8453 
8942 

9432 
9922 

o4ii 
0901 
1390 

1879 
2369 
2858 

3347 
3836 


4582 
5072 
5562 
6o52 
6542 


463 1  4680 


4276 
4765 


4325 

48i4 


5254  53o3 


5743 
6232 


i5o8 
1997 
2485 
2973 
3461 


6672 
7161 
7650 
8i38 
8627 

9115 
9604 
0092 
o58i 
1069 

1 557 
2045 
2534 

3022 

35io 


6721 
7210 
7698 
8187 
8676 

9164 
9653 

oi4i 
0629 
1118 


1606 
2094 

2582 

3070 
3558 


6339 
6827 
73i5 
7802 
8290 

8777 

9264 

*  9752 

950  0239 

0726 

iai3 

1 701 
2188 
2675 
3i6a 


3949 
4437 
4925 
54i3 
5900 

6388 
6876 
7363 
785 1 
8338 


8826 
93i3 
9801 
0288 
0775 

1262 

1749 

2236 

2723 

33IO 


3998 

4486 
4973 
5461 
5949 

6437 
6934 
7412 
7900 
8387 

8875 
9362 

9849 
o337 


4o46 
4534 

5o22 

55io 
5998 

6486 
6973 
7461 
7948 
8436 

8923 


5792 
6281 

6770 

7259 

7747 
8236 

8724 

9213 
9701 
0190 
0678 
1 167 

i655 
2143 
263 1 
3119 
3607 

4095 
4583 
5071 
5559 
6047 

6534 
7022 
75io 

7997 
8485 


8972 
9411  9459 
98989947 


0824 

i3ii 
1798 

2285 

2772 
3259 


o385 
0872 

i36o 

1 847 
2334 
282 


0434 
0921 

1 408 
1895 

2382 

2869 


7o32 
7522 
8012 
85o2 
8991 

9481 

o46o 
0950 
1439 

1928 
2418 

388 

4374 
4863 
5352 

584i 
633o 

6819 

7307 
7706 
8285 
8773 

9262 
9750 
0239 

0727 

I2l5 

1704 
2192 

2680 

3i68 
3656 

4i44 
4632 

5l20 

56o8 
6095 

6583 

7071 
7558 
8o46 
8533 


5l2I 

56ii 
6 1 01 
6591 

7081 

7571 
8061 
855i 
9040 

9530 
♦020 
oSoo 
0998 
i488 


5170 
566o 
61 5o 
664o 


47294778 
52195268 


5709 
6199 
6689 


1977 
2467 
2956 
3445 
3934 

4423 
4912 
5401 
5890 

6379 

6868 
7356 
7845 
8334 
8822 


7i3o 
7620 
8110 
8600 
9089 

9579 
0068 

o558 

io47 
1 537 

2026 
25 1 5 
3oo5 
3494 
3983 

4472 

4961 

545o 

593 

642 


7179 
7669 
8159 
8649 
91 38 

9628 
0117 
0607 
1096 
1 586 


5758 
6248 
6738 

7228 
7718 
8208 
8698 
9187 

9677 
0166 
o656 
1 145 
i635 


DiflT. 


2075 

2564 
3o54 
3543 
4o32 

4521 
5oio 

5499 
5988 

6477 


9311 

0288 
0776 
1264 


2124 
2613 

3l02 

3592 

4081 

4570 

5o59 
5548 
6o37 
6525 


6916 

74o5 
7894 
8382 
8871 

9360 
9848 
o336 
0825 
i3i3 


9021 


1752 
224r 
2729 
3217 
3705 

4193 
4681 
5169 
5656 
6i44 

6632 
7119 
7607 
8oq5 
85: 

9069 


6965 
7454 
7943 
843 1 
8920 

9408 
9897 
o385 
0874 
1 362 


1 801 
2289 

2778 
3266 
3754 

4242 
473o 
5217 
5705 
6193 

6681 
7168 
7656 
8143 
863 1 


i85o 
2338 
2826 

33i4 
38o2 


7014 
75o3 
7992 
8480 
8969 

9457 
9946 

0434 
0922 

i4ii 

1899 
2387 
2875 
3363 
385i 


33o8|3356 


9508  9557 
9995  4044 
o483o53i 
0970  1019 

1457  i5o6 
1944  1993 


4290 

4778 
5266 

5754 
6242 

6729 

7217 
77o5 
8192 
8680 


243 1 
2918 
34o5 


2480 
2967 
3454 


9118 
9606 
0093 
o58o 
1067 

1 554 
2042 
2529 
3oi6 
35o2 


9167 
9654 
0142 
0629 

IIIO 


4339 
4827 
53i5 
58o3 
6290 

6778 
7266 
7753 
8241 
8728 

9216 
9703 
0190 
0678 
ii65 


49 


i6o3 
2090 

2577 
3o64 
355i 


i653 
2i39 
2626 
3ii3 
36oo 


Di<r.  &.  Mult. 


I 

49 

2 

98 

3 

i47 

4 

196 

5 

245 

6 

294 

7 

343 

8 

392 

9 

44i 

« 


I 

48 

2 

9t> 

3 

i44 

4 

193 

5 

240 

6 

288 

7 

336 

8 

384 

9 

43a 

0      12      3     4 


5     6     7     8     9 


Diff. 


Diff.  &  Mult. 


\i 


136 


Nom. 

8920 

ai 
aa 

a3 

25 

a6 

a? 
aB 
29 

8930 

3i 

32 

33 

34 

36 
37 
38 
39 

89  4o 
4i 

43 
M 

45 

47 
48 

49 

8950 
5i 
5a 

3*3 

54 

55 
56 

57 
58 
59 

8960 
61 

63 
64 

65 
66 
67 
68 
69 

8970 

71 

7a 
73 

74 

75 

76 

77 
78 

79 


LOGAKITHMS  OF  NUMBERS. 


Num. 


0   12   3  4 


950  364 
4i3 
462  a 
5io9 
5590 

6082 

0J09 
7o55 
7542 
8028 

85i5 

9CK11 

9487 

•   9973 

951  0459 

0946 
1433 
1 91 8 
3404 
2889 

3375 
386 1 

4347 
4832 
53i8 

58o3 
6389 

6774 
7260 
7745 

8a3o 

8716 
9201 


3697 
4i84 
4671 
5i58 
5644 

6i3i 
6617 

7104 
7590 

8077 

8563 
90  5o 


♦022 
o5o8 


3746 
4333 
4730 
5206 
5693 

6180 
6666 
7 1 53 
7639 
81 30 

861  a 

9^ 
q584 


953695849633 


0071 
0557 


0994  1043 
i48oji52o 
1966I2015 

2,452  aSoi 
2938  2987 

34243472 
30103958 

43954444 


3705 
4a8i 
4768 
5a55 
5742 

6228 
6715 
7201 
7688 
8174 

8660 
9' 47 


3843 
43  3o 
4817 
53o4 
5790 

6277 
6763 
7a5o 

77.36 
8223 


4881  4929 
5366  54 1 5 

5853  5901 
6337  6386 
68a3687i 

73o8  7357 
7794  7842 

8279  8327 

87648813 

934919398 

•  9686  9734  9703 


9530171 

o656 

ii4i 
i6a6 

3III 

3595 
3o8c 

4049 
4534 
5oi8 

D'jOJ 

■59871 

6472 

6956 

7440 

7924 
8409 
8893 

9377 
•  9861 

953  o345 
0838 

l3l2 

1796 

aa8o 


0319,0368 


07040753 
1189!  I  a38 
1674I1723 
21593208 


3644 


369a 


3130  3177 
36i  3.3662 

40984146 
4582  463  r 
5067  5ii5 

555i  56oo 
6o366o84 

652o656o 
70047053 
74897537 

7973)8021 
8457  85o5 
8941 


15 


5g4* 

643 
6930 
74o5 
7891 


ii4o 

1626 
2112 

2598 
3o84 

356o 
4o55 
4541 
5027 
55ia 


8376  84a4 


8861 
9346 
9831 
o3i6 

0801 
1386 
1771 

3356 

3741 

3aa6 
3710 
4195 


6483 
6969 
7454 
7939 


8910 
9395 
9880 
o365 

o85o 
1 335 
i8ao 
a3o5 

3789 

3274 
3759 
4343 


4679  47a8 


9425947 
9909J9957 

0393  o44i 
0877  0925 


i36i 
1844 
3338 


14 

189 

3376 


09 
o3 


5i64 

5648 
61 33 
6617 
7101 


75867634 


8070 
8554 


89809038 
0473  o5a2 


95a  a 
♦006 

0490 
0974 
1457 
1941 
2425 


5213 

5697 

6i8f 
6665 

7i5o 


81 18 
860a 
9086 

9570 
oo54 

o538 

1032 

i5o6 
1989 

a47J 


5  6  7  8  9 


389213941 
437914427 
48664914 
5401 
5888 


398914038 
4476J4525 
4963  5oi2 


6423 


6o46 
6532 

7017 
75o2 
7988 

8473 
8958 
9443 


8369 

8855 
9341 
9837 

o3i4 
0800 

1286 

177a 

2358 

2744 


1337 

1723 

3200 
269$ 

3i8 

3667 
4 1 52 
4638 
5 1 24 
5609 

6095  6143 
658o 


3715 
4201 
4687 
5172 
5658 


6472 
6958 
7445 
7931 
8417 

8004 
9J9U 
9876 

o362 
o848 

1 334 
1820 
23o6 
2792 


33393378 


7066 

755i 
8o36 

8521 
9007 
949a 


9928  9977 
o4i3o462 

08980947 
i43a 
1917 

a4oi 
3886 


66396677 


71 14 

80?? 

8570 
9055 
9540 
♦oa5 
o5io 


3764 
4350 
4735 
5221 

5706 

6192 


4087 
4574 
5o6o 

5547 
6o34 


7»63 
7648 
8i33 

8619 
9104 


8952 
9430 
9925 

o4n 
0897 

i383 

1869 
2355 
2841 
3327 

38i3 
4398 

47B4 
5269 

5755 

6240 
6726 
72n 

7607 
8182 

8667 
91 53 


o587 
1070 
i554 
2o38 

2533 


9589  9637 

0074 

0559 

io44 
1529 

aoi4 

'^?? 
3983 


58425890 
6336  6375 


83i2 

8706 
9280 
9764 
0248 


o683 
1*67 

i65r 

3 1 35  2183, 

2618I2667I2715 


or23 
0607 

109a 
1 577 
3063 

a  547 
3o33 

35i6 
4ooi 
4486 
4970 
5454 


7393 

7876 

836o 
8844 
9328 
9813 
0296 

0780 
1264 
1748 

3331 


0      12      3     4 


8 


Diff. 


Diir.  tc  Malt. 


I 

3 

^ 

3 

147 

4 

196 

5 

245 

6 

294 

7 

343 

8 

392 

9 

44i 

DiflT. 


I 

a 
3 

4 
5 
6 

7 
8 

9 


LOGARITHMS  OF  NUMBERS. 


48 

96 

144 
19a 
340 
288 
336 
384 
432 


DifT.  tc  Mult. 


Num. 

8980 

81 
82 
83 
84 

85 
86 

87 
88 

89 

8990 

9' 
9a 

93 
94 

96 

98 

99 

9000 
01 
02 
o3 
o4 

o5 
06 


0   12   3  4 


5  6   7  8  9 


953  2763 

3247 
3731 

4214 
4697 

5i8i 
5664 


90 


90 


09 

10 
II 
la 
i3 
i4 

i5 
16 

17 
18 

19 

ao 
21 

32 
23 
24 

a5 

36 

37 

38 

39 

90  3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

Nam. 


6147 
663 1 

7114 

7597 
80S0 

8563 

9046 

9529 

9540012 

0494  j 

0977 
1 460 

1943 

2425 
3908 
3390 
3873 
4355 

4837 


2812, 
3395 

3779^ 
4262 

4746| 

5329 
5712 
6196 
6679 
7162 


2860 
3344 
3827 
43ii 
4794 

5277 
5761 
6244 


2908  2957 
33933440 
3876  3934 
43594407 
4842 14891 

5326  5374 
5S09  5857 
6292  634 1 
672767766824 

7210  72597307 


764576947742! 
812881778225 


861  T 
9094 
,9577 
10060 

o543 
1025 
i5o8 
1991 


86608708 
9143  9191 
96259674 


0108 
0591 
1074 
i556 


oi57 
0639 
ir22 
i6o5 


5319536b 
580215850 
6284  6332 


2039  2087 

2473  2522  2570 

2956,3004  3o52 
3438|3487|3535 
3921  39694017 
44o3  445 1  45oo 

4885  4934  4982 


7790 
8273 
8756 
9239 
9722 

0205 

0688 

1 170 
i653 
2 1 36 

2618 
3ioi 
3583 
4o65 
4548 


3oo5  3o54 
3489  3537 
39724021 
445645o4 
49394987 

542  2 '547 1 
5906  5954 
6389  6437 
68726921 


6766 

7248 
773o 
8212 
8694 
9176 

#  9657 

9550139 

0621 

1102 

1 584 

2o65 

2547 
3028 
35io 
3991 


6814 

7296 
7778 
8260 
8742 


5416 
5898 
638o 
6862 

7344 
7826 
83o8 
8790 


922419272 

9705I9754 
0187J0235 
06690717 
ii5o  1199 


i632 

2Il4 

2595 
3076 
3558 
4039 


4472I4520 
4953|5ooi 
5434  5483 


1680 

2162 
2643 
3i25 
36o6 
4087 

4568 
5o5o 
553 1 


5464 
5946 
6428 
6910 

7393 

7874 
8356 
8838 
9320 

9802 
0284 
0765 

1247 
1728 

2210 
2691 
3173 
3654 
4i35 


5o3o 
55i2 
5994 

6477 
6959 

7441 
7923 
84o5 
8886 
9368 

9850 
o332 
o8i3 
1295 

1776 

2258 

2739 

3221 
3702 

4i83 


59646012,6060 
6445,6493,6541 


5916 
6397 

6878 

7358  740717455 

7839  788717935 

8320  8368  84i6 

8801 


46I6I4665 
5o98|5i46 
557915627 
-  '  6108 


9282 


88498897 
9330  9378 


9762I98109858 

956  0243 10291  0339 

0723  0771  !o8i9 

1204  1252  1 3oo 


3 1 02  3 1 5o  3 1 99 


3585  3634 
4069  4 1 17 
455214601 

5o36,5o84 


55i9'5567  56i6 
6oo2!6o5i  6099 
6486  6534  6582 


3682 
4166 

4649 
5i32 


7355 

7838 
8321 
8804 
9287 
9770 


74o4 

7887 
8370 
8853 
9336 
9819 


69697017 
7452J7500 


7065 
7549 


7935  7983  8o32 
84 1 8  8466' 85 1 5 
890 1 1 8949  8998 
9384'9432'948i 
9867 1 99 1 5  9963 

0253  o3oi|o35o|o398jo446 
0784083  2 1 088 1 10929 
I267ii3i5|i363ii4i2 
i749;i79B!i846{i894 

2232  228012329^2377 


0736 
I219 
I7OI 
2184 


2715 
3197 

368o 
4162 
4644 

5i27 
5609 
6091 
6573 
7o55 

7537 
8019 
85oi 
8983 
9465 

9946 
0428 
0910 
1 391 
1873 


6589 

6926  6974 1 702  2  7070 

'  '  ""  75o3|755i 

79848032 

8464  8512 

8945.8993 

9426  9474 
9906,9954 
o387  0435 
108680916 
1 1 348  1396 


2666 

3i49 
363 1 

4ii4 
4596 

5078 
556i 
6043 
6525 
7007 

7489 

7971 
8453 

8935 

9416 

9898 
o38o 
0862 
1 343 
1825 

23o6 
2788 
3269 
3750 
423 1 

47i3 
5194 
5675 
6i56;62o4 


2763  28 II 12859 


3245 
3728 
4210 
4692 

5175 
5657 
6139 
6621 
7io3 

7585 


3?94i3342 
377613824 


4258 
4741 


4307 
4789 


522315271 

57o5|5753 
6187I6236 
66696718 
71 52  7200 


7634 

8067  81 15 
8549|8597 
903 1 1 9079 


7682 
8i64 
8646 
9127 


9513,956119609 

9995'»o43,oo9i 
o476io524|0573 


0958 
1439 
1921 


2354  2402  245 1 


ioo6|io54 
i488|i536 
1969  2017 


2836 
33i7 
3798 
4280 

4761 
5242 
5723 


2499 
2980 


2884!  2932 
3365|34i3J346i 
3846  3895,3943 
4328I4376  4424 

48o9!4857  4905 
5290  5338,5386 
577 1 1 58 1 9  5867 
6253  63oo  6348 


6637 

7118 
7599 
8080 
856o 
9041 

9522 
♦oo3 
o483 
0964 
1 444 


66856733,67816829 


7166721417262J7310 

7647  7695  7743,7791 
8128,8176,82248272 

860986578705,8753 

9089  9137  9185  0234 

9570961896669714 
oo5i  00990147,0^95 
o53i  0579' 0627  0675 
1012  106011108;  II 56 
1492  1 540  1 588  1 636 


137 


DiX 


0      12      3      4 


Diff.  &  Molt. 


I 
3 

3 

4 
5 
6 

7 
8 

9 


1 47 
196 
245 
294 
343 
392 
441 


I 

48 

2 

96 

3 

i44 

4 

19a 

5 

240 

6 

288 

7 

336 

8 

384 

9 

432 

II 


6     7      8     9     I  Di^. 


Diff.  Sc  Mult. 


18 


u 


138 


LOGABITHMS    OF     NUMB  BBS. 


Nam. 

0040 

4i 

43 

45 

46 

47 

48 

49 

90  5o 
5 1 
5a 

•#4 
55 

57 
58 

59 

9060 

61. 
§2 
63 
64 

65 
66 

67 
68 

69 

90' 70 
71 
71 

73 

74 

75 
76 

77 

70 

79 
0080 
81 
8a 
83 
84 

85 
86 
87 
88 
89 

9090 
91 

9? 
9 

o^ 

?^ 
96 

97 
98 

99 


01234         56789 


l«li684 
2i65 
3645 
3ia5 

4o86 
4566 
5o46 
55a6 
6006 


173a  1780 
a2i3  2a6i 
2693  2741 

3173  3221 

3654  370a 

4i  34  4182 
46144662 
5094  5i4a 

5574  5622 

60546102 


1828 
2309 
2789 
3269 
3750 

423() 

!47io 
5190 
'5670 
'61 5o 


1876 
2357 
2837 
33i7 
3798 

4278 
4758 
5238 
5718 
6198 


6486 

6966 
7445 
7925 
84o5 

8885 
9364 

•  98441 

957  o323 
o8o3 

1282 

1761 
3241 
2720 
3199 

3678 
4i57 
4636 
5ii5 
5594 

6552 

7o3o 
7509 

7988 
8466 
89fj 
9423 

♦  9902 

958  o38o 

o858 
i337 
i8i5 
2293 

2771 


i33oIi378  1426 
18091857  1905 
2289  23 361  a 384 
2768  2816  2864 
324732953343 

3726 '37741382  2 
42o5  4253430 1 


46844732 
5i63  52ii 
564215690 


4780 
52.59 
5738 


6121I61696217 


42o5 
4683 
5i6 


8027 
85o5 
89B2 
9459 
9937 


6534  6582'663o  6678 

70147062J71107158 

7493754175897637 

79738021  80^)98117 
8453  85oi  854#597 

8933  898o'9028  9076 
94129460,95089556 
9892  9940  9988  ♦t>35 
o37i  04190467  o5i  5 
0851,0898509460994 

1474 
1953 
2432 

IV* 

3391 

3870 

4349 

4828 

53o7 
5786 

6a64 
6743 
7222 

7701 
8179 

8658 
9i36 
9615 
0093 
0571 

io5o 
1 528 
2006 
2484 
2962 

3441 
3919 
4396 

4874 
5352 

583o 
63o8 
6785 
7263 

774 1 

8218 
8695 
9i-»3 
9650 
0128 


6600,6647 

70787126 
7557  7605 
8o36  8o83 

85 1 4  8562 
8993  9041 
9471  9519 
99509997 
04280476 


6695 

7174 
7653 
8i3i 

8610 
9088 
9567 
♦045 
o524 


09060954 


3a49 

37^7  3775 


1 385 
1 863 
2341 
3819 

3397 


1 432 
1911 

2380 


1002 
1 480 
1958 
2437 


4253 

473 1 
5209 


5639  5687 
61 17  6164 
6594  6642 
7072  7'30 

7549  7597 


2867  291 5 

3345  3393 
38233871 

43014349 
47794827 
525715304 

5734;  5782 
6212,6260 

66906738 

7i67|72i5 
7645  7693 


8075 
8552 
90  3c 
9507 

ggS4 


8123 

8600 

9077 
9555 


8170 
8648 
9125 
9603 


♦o32  0080 


1925 1973 
34o5  2453 
2885  a933 
3365  34 1 3 
38463894 

43a64374 
4806  4854 
5a865334 

57665814 

6a466a94 

I 
67266774 
72067254 
76857733 
8i65  82i3 
8645,8693 

9124917* 
9604  9652 
oo8ioi3i 
o563  061 1 
1042!  1090 

1 522  1570 
200 1 1 2049 
2528 

3oo7 
3486 

396*> 

4445 
4924 
5402 
588 1 


2021 
a5oi 
2981 
346i 
394a 

44aa 
490a 
5382 
5862 


2o69|ai!7 


6342  6J90 

6870 
7349 


2480 
2959 

3439 

3oi8 

4>97 
4876 
5355 
5833 

63 12 
6791 

7270 
7748 
8227 

8706 
9184 
9663 
oi4i 
0619 

1098 
1576 
2o54 

2532 

3oio 

3488 
3966 

4444 
4922 
5400 

5878 
6355 
6833 
73 1 1 
7788 


636(> 
6839 
73i8 

7796 
8275 

8753 
9232 
9710 
0189 
0667 


682a 
73oa 
7781 
8261 
8741 

9220 
9700 

0179' 
0659 
1 1 38 

1618 
2097 

3576 
3o55 
3534 

401 3 
4492 

497 « 
545o 
5929 

64o8 
6887 
7366 

7844 
8323 


2597 
3o77 
3558 
4o38 

4518 
4998 
5478 
5958 
6438 

6018 

7397 

7829I7877 


a  549 
3029 
3509 
3990 

4470 
4950 
543o 
5910 


83o9 


8357 


87898837 


9266 
9748 

10227 
0707 
ii86 

i665 
2145 
2624 
3to3 
3582 

4o6i 

4540 
5oi9 


9316 
9796 
0375 

0755 
1334 

1713 
2193 
2672 
3t5i 
363o 

4109 
4588 
5067 


5498  5546 

59776025 

645665o4 


1145 
1624 
2102 
258o 
3o58 

3536 
4oi4 
4492 
4970 
5448 

5935 
,64o3 
6881 

73  5B 
7836 


8266 
8743 
9221 
9698 
or75 


8801 
9280 
9758 
0237 
0715 

1 193 
1672 
2i5o 
3628 
3io6 

3584 
4062 
4540 
5oi8 
5495 

5973 
645 1 
6929 

74<)6 
7884 


6935 
74 1 3 

7892 
8371 

8840 
9328 

9806 
0284 
0763 

1 341 
1719 
3198 
2676 
3i54 

3632 
4iio 
4588 
5o65 
5543 

602 1 


83i4 
8791 
9268 
9746 
0223 


64996 
6976 

7454 
7932 


836i 
8839 
9316 
9793 
0271 


Diff. 


48 


6983 
7461 
7940 

8418 

8897 
9376 

9854 
o332 
0811 

1289 
1767 
2245 
2723 

3302 

368o 
4i57 
4635 
5n3 
5591 

6069 

"547 
7024 
75o2 

7979 


8409  8457 
8886  8934 

9364  94 1  "i 
9841  9889 

o3i8o366 


0      12      3     4         5     6     7     8     9 


Diir.&Mult. 


I 

a 

'^ 

3 

i47 

4 

196 

5 

245 

6 

394 

7 

343 

8 

39a 

9 

44i 

DiflT. 


I 

48 

2 

96 

3 

144 

4 

192 

5 

240 

6 

a88 

7 

336 

8 

384 

9 

432 

DifT.  k.  Malt. 


LOGARITHMS     OF     NUMBERS 


139 


Num. 

9100 

01 
oa 
o3 
o4 

o5 
06 
07 
08 
09 

91  10 
II 
12 
i3 
i4 

i5 

16 
17 
18 

«9 

91  20 

2f 

22 
23 
24 

25 

26 
27 
28 
29 

91  3o 
3i 

32 

33 
34 

35 
36 

37 
38 

39 

91  4o 

4i 
4a 
43 
44 

45 
46 

47 
48 

49 

5o 
5i 

52 

53 

54 

55 

56 

57 
58 

59 
Num. 


91 


©390414 
0891 
1 368 
1845 

2322 

2800 
3276 
3753 

42  3o 

4707 

5i84 
566o 
6137 
66i4 
7090 

7567 
8043 
8520 
8996 
9472 

#  9948 

9600435 

0901 

1 377 
i853 

2329 
2805 
3281 
3756 
4232 

4708 
5r83 


0   12   3   4    5   6   7   8   9 

0843 

l32I 

1798 

2275 

2752 


0462 
0939 
i4i6 
1893 
2370 

2847 
3324 
38oi 
4278 
4755 

523i 

57r)8 
6i85 
666  r 

7i38 

7614 
8091 
8567 
9044 
9520 

9996 
0472 
0948 

1424 
1900 

2376 
2862 
3328 
38o4 
4280 

4755 
523i 


5659  5707 


6i35 
6610 

7086 
756i 
8o36 
85i2 

8987 

9462 

*  9937 
901  o4i2 

0887 

1 362 

i837 
a3i2 

2787 
3262 
3736 

4211 
4686 
5i6o 
5635 
6109 

6583 
7o58 
7532 
8006 
848 1 


6182 
6658 


o5o9 
0987 
1 464 
1941 
2418 

2895 
3372 
3849 
4326 
4802 

5279 

5756 
6232 
6709 
7186 

7663 
8f38 
861 5 
9091 
9567 

♦044 
o52o 
0996 

1472 

1948 

2424 
2900 

3376 

385 1 
4327 

48o3 
5279 

5754 
6230 
6705 


o557 
io34 
i5ii 
1989 
2466 

2943 
3420 
3896 
4373 
485o 

5327 
58o3 
6280' 
6757 
7233 

7710 
8186 
8662 
9139 
9615 

0091 

0567 

io44 
1 520 
1996 

2472 

2947 
3423 
3899 
4375 

485o 
5326 
58o2 

6277 
6753 


o6o5 
1082 
1559 
2o36 
25i3 

2990 

3467 
3944 
4421 
4898 

5374 
585 1 
6328 
6804 

7281 

7757 
8234 
8710 
9186 
9663 

oi3 

06 

1091 

1567 

2o43 


't 


7133 
7608 
8084 
8559 
9034 

9509 
9985 
o46o 
0935 
i4io 

1 885 
2359 
2834 
3309 

3784 

4258 
4733 
5208 
5682 
61 57 

663 1 
7105 
758o 
8o54 
8538 


7181 
7656 
8i3i 
8607 
9082 

9557 
♦o32 
o5o7 
0982 

1457 

1932 
2407 
2882 

3357 
383 1 

43o6 
4780 
5255 
5730 
6204 

6678 
7i53 
7627 
8101 

8575 


2510 

2995 

3471 

3947 

4422 

4898 

5374 

5849 
6325 
6800 


7228  7276 


7704 

8179 
8654 
9129 

9605 
0080 
o555 
io3o 
i5o5 

1980 

2454 
2929 

3404 


775 1 
8226 
8702 

9177 

9652 
0127 
0602 

1077 
i552 

2027 

25o2 

2977 
345 1 


3879  3926 


4353 
4828 

53o2 

5777 
6251 

6726 
7200 

7674 

8149 
8623 


44oi 
4875 
535o 
5824 
6299 

6773 
7248 

7722 
8196 
8670 


o653 
ii3o 
1607 
2084 
256i 

3o38 
35i5 
3992 

4469 
4945 

5422 
5899 
6375 
6852 

7328 

7805 
8281 
8758 
9234 
9710 

0186 
o663 
1 139 
i6i5 
2091 

2567 
3o43 
35i8 
3994 
4470 

4946 
5421 
5897 
6372 
6848 

7323 

7799 
8274 

8749 
9224 

9700 
0175 
o65o 

II25 

1600 

3075 
2549 
3o24 
3499 
3974 

4448 
4923 
5397 

5872 
6346 

6821 

7295 
7769 
8243 

8718 


0700 

1 177 
i655 

2l32 
2609 

3o86 
3563 
4039 
45i6 
4993 

5470 
5946 
6423 
6900 

7376 

7853 
8329 
88o5 
9382 

9758 

0234 
0710 
1 186 
1663 
2i38 

2614 
3090 
3566 
4042 

4517 


4993 
5469 

5944 
6420 


6895  6943 


0748 

1225 
1702 
2179 

2656 

3i33 
36io 
4087 
4564 
5o4i 

5517 
5994 
6471 

6947 
7424 

7900 

8377 
8853 
9329 
9806 

0282 
0758 
1234 
1710 
2186 

2662 
3i38 

36i4 
4089 
4565 


0796 
1273 
1750 
2227 
2704 

3i8i 
3658 
4i35 
4612 
5o88 

5565 
6042 
65i8 
6995 

7471 

7948 
8424 
8901 

9377 
9853 

0329 
o8o5 
1282 

1758 
2234 

2709 
3i85 
366i 

4i37 
46i3 


5o4i 
55i6 
5992 

6467 


7371 
7846 
8321 
8797 
9272 

9747 
0222 

0697 

1172 

1647 

2122 
2597 
3072 
3546 

402I 


5o88 
5564 
6o3 
65 1 
6990 


7418 

7894 
8369 

8844 
9319 

9795 
0270 
0745 
1220 
1695 

2170 

2644 
3119 
3594 
4009 


3229 
3706 
4i83 
4659 
5i36 

56i3 
6089 
6566 
7043 
7519 

7996 
8472 
8948 
9435 
9901 

o377 
o853 
1329 
i8o5 
2281 

2757 
3233 
3709 

4i84 
4660 

5i36 
56ii 
6087 
6563 
7o38 


Diff. 


7466 
7941 
84i6 
8892 
9867 

9842 
o3i7 
0792 
1267 
1742 

2217 
2692 
3167 


75i3 
7989 
8464 
8989 

9414 

9890 
o365 
o84o 
i3i5 
1790 

2264 
2739 
33i4 


4496  4543 
4970,5018 
5445 1 5492 
59195967 

6394,6441 


6868 

7342 
7817 
8391 
87658812 


6916 
7390 

7864 
8338 


364 1  3689 
4ii6,4i63 

4591  4638 
5o65,5ii3 
5540,5587 
60146062 
6489'6536 

6963  7010 

74377485 
791217959 
8386,8433 
886o'8907 


DiflT.  &  Mult 


I 
a 

3 

4 
5 
6 

7 
8 


0      12      3      4 


6      7      8 


Diff. 


48 

96 

i44 
192 
240 
288 
336 
384 
432 


I 

47 

a 

94 

3 

i4i 

4 

188 

5 

335 

6 

282 

7 

329 

8 

376 

9 

423 

Diif.  Sc  Mult. 


:• 


n 


£40 


LOGAEiTHMS  OF  NHMBERS 


Noiii. 


961  8955 

•   9Qu3 

962  0J77 

o85i 

i3a5 

1799 

2272 

274s 
3220 


12     3     4         5     6      7      8     9 

Qj87l9334i938i 
5761981)819855 


01 4o 
1088 


liiiiii* 


j09'' 
4167 
464o 
5ii4 
5587 

6061 

6534 
7007 
7481 
7954 

8427 
8900 

9373 

•  9846 

963o3i9 

0792 

1264 

1737 
2210 

2683 

3i55 
3628 
4100 
4573 
5o45 

55i7 
5990 
6462 

6934 
7406 


9666  97 1 3 


3741  3788 
4214  4262 
4688  4735 
5i6i  5209 
5635  5682 


6108 

658 1 
7o55 
7528 
8001 


8474 

8947 
9420 

9893 

o366 


61 55 
6(>29 
7ioi 

7575 
8o48 

8521 
8994 
9467 
9940 
041 3 


3835 
4309 
4783 
5256 
5729 

6203 
6676 
7149 
7622 
8096 

8569 
9042 
95i5 
9988 
o46i 


0839 

l3l2 

1784 

2257 
2730 

3202 

3675 

4147 
4620 
5092 

5565 

6o37 
65o9 
6981 
7453 


3883 
4356 
483o 
53o3 

5777 

6250 
6723 
7197 
7670 
8143 

8616 
9089 
9562 
♦o35 
o5o8 


0187 
0661 
II 35 

1600 

2o83 

'?557 
29S3  3(>3<) 
3457  35o4 


0886 
1 359 
i832 
23o4 

2777 

325o 
3722 
4195 
4667 
5i39 

56i2 

6084 
6556 
7028 


7878  7925 
835ol839& 
8822I8869 
9294,9341 
•  9766190 1 J 

964  0238  0285 

07100757 
1181  1229 
1 653 1 1 70a 
21252172 


0933 
i4o6 
1879 

2352 

2824 

3297 

3709 
4242 
47»4 
5187 

5659 
6i3i 
6604 
7076 


0981 

1454 
1926 
2399 
2872 

3344 
3817 
4289 

4762 
5234 

5706 
6179 
6()5i 
7123 
7595 


75oi  7548 

7973  8020  B067 
8445  B492  8539 
891 718964  9<^>n 


44o4 
4877 
535 1 
58i4 

6297 

6771 
7244 
7717 
8190 

8663 
91 36 


02  3  3 
0700 
1 1 83 

1 656 
2i3o 
2604 
3078 
355i 

4025 


0282 
0756 
i23o 

1704 
2178 
265 1 
3i25 


5398 

5871 

6345 
6818 

77^*4 
8238 

871 
9.84 


o32< 

o8o5 

1277 

1751 

2225 
2699 
3172 


Diff. 


3599  3646 


3978 

445114498 

4925  4972 

-"^     5445 

5919 

6392 
6865 
7339 
7812 
8285 


9609  9<)57 

0082 

o555 

1028 
i5oi 
1974 


oi3o 
0602 

1075 
1 548 
2021 


244612493 


2919 

3391 

3864 
4336 
4809 
5281 

5753 

6226 
6698 
7170 
764a 


8758 
9231 
9704 
0177 
o65o 

II23 

1595 
2c»68 
254 1 


4072 
4546 
5019 
5493 
5966 

643o 
6913 
7386 
7859 
8332 

88o5 
9278 
9751 
0224 
0697 

1170 
1643 

2Il5 

3588 


4120 

4593 
5o()7 
5540 
6oi3 


2966 

3439 
391 1 
4384 
4856 
5328 

58oi 
6273 
6745 
7217 
7689 


3oi3  3o6i 


6487 
69(x) 

7433 

838o 

8853 
9326 

9799 
0271 

0744 

1217 
1690 
2163 
2635 
3io8 


9389J9436 
98609908 

o332o379 
o8o4!o85i 
127611323 

17471795 
2219  2266 


2596  2643!  2691 
3o68  3ii  53162 
3539  35863634, 
4oiij4o58  4io5 
448245294576 

4953  5ooi  5o48 
545»5  547'J»55i9 
5896  5943}  5990 
6367  64 1 46461 
6838  6885  6932 


2738 
3209 
3681 
!4i52 
4623 


9483 
9955 

0427 
1)898 
1370 
1842 
23i3 

2785 
3256 
3728 
4199 
4671 


5095 
5566 
:6o37 
|65o8 
6979 


5i42 
56i3 

6084 
6555 
7027 


8u48i6i 
8586  8634 
9o58|9io5 
953019577 
♦0020049 

o474|052i 
09460993 
i4i7|'464 
18891936 
a36i  a4o8 

a832  2879 
33o4  335i 
3775  3822 
4246;4294 
47184705 

5i89'5236 
566015707 
61 3i  6179 
66o3665o 

707417131 


3486 
3958 
443 1 
4903 
5376 

5848 
6390 
6792 
7265 

7737 
8209 

8^:8 1 
9153 

9625 
0096 

o568 
io4o 

l5l2 

1983 
2455 

2926 
3398 
3869 

4341 
4812 


3533 
4006 
4478 
4951 
5423 

5895 
6367 
684o 
73i2 

7784' 


358o 
4o53 
4525 
4998 
5470 

5942 
64e5 
6887 
7359 
783 1 


8256i83o3 

872818775 

92009247 

9672I9719 
0144.019! 

o6i5o663 

1087I1134 
15591606 
2o3o|  2078 
25o2|2549 

2974  3o2 1 

3445  3492 
39163904 
43884435 
48594906 


52835330^5378 
5755,5802  5849 
6226,6*73  6320 
66076744,679! 

7l08l72l5'7262 


0      12      3     4        5     6      7     8     9 


Dili'.  &.  Mult. 


I 

2 

3 

4 

5 
6 

7 
8 

9 


Diff. 


48 

96 

144 
192 
240 
288 
336 
384 
432 


1  •  I 


LOGARITHMS  OF  NUMBEES 


I 

47 

2 

94 

3 

l4! 

4 

188 

5 

235 

6 

282 

7 

329 

8 

376 

9 

423 

Diff.  &  Mult. 


Nam. 

9220 

21 
22 

23 

24 

25 

26 

27 
38 
29 

92  3o 
3i 

32 

33 

34 

35 

'   36 

37 
38 

39 

9240 
4i 
42 
43 
44 

-  45 
46 

47 

48 
49 

9a  5o 

5i 

52 

53 

54 

55 
56 

57 
58 

59 

9260 
61 
62 
63 
64 

65 
66 

67 
68 
69 

92  70 

71 

72 

73 
74 

75 
76 

77 
78 

79 
Num. 


0   12   3   4 


5  6   7   8   9 


964  73091 
7780 
825i 
8722 
9193 

•  9664 

965  01 35 

o6o5 

1076 

1 546 


7356 
7827 
8298 
8769 
9240 

971 1 
0182 
o652 

1 1  23 

1594 


74o3 

7874 
8345 
8816 
9287 

9758 
0229 
0699 
1170 
i64i 


745 1 
7922 
8392 
8863 
9334 

9805 
0276 
0746 
1217 
1688 


2017 
2488 
2958 
3428 
3899 

4369 
4839 
5309 
5780 
6250 

6720 
7190 
7660 
8i3o 
8599 


2064 
2535 
3oo5 
3475 
3946 

44 16 
4886 
5356 
5827 
6297 

6767 

7237 

7707 
8177 
8646 


7498 
7969 
844o 
8910 
>38i 

9852 
o323 
0793 
1264 
1735 


2111 

2582 

3o52 

3522 

3993 

4463 
4933 
54o3 

5874 
6344 

68i4 
7284 
7754 
8224 
8693 


2i58 
2629 
3099 
3569 
4o4o 

45io 
4980 
545o 

ir 

6391 


9069 

,^  9539 
966000 

o478| 
0948 

i4i7 
1887 
2356 
2826 
3295 

3764 
4233 
47o3 
5172 
564i 


9116 
9586 
oo56 
o525 
0995 

i464 
1934 
24o3 
2873 
3342 

38ii 
4280 

4750 
5219 

5688 


a2o5 
2676 
3i46 
36i7 
4087 

4557 
5027 

5497 
5968 
6438 


686  r 
733 1 
7801 
8270 
8740 


9163 
9633 
oio3j 
0572 
1042 

i5ii 
1981 
2450 
2919 
3389 

3858 
4327 

479^ 
5266 

5735 


6110 

6579 

7048 

7517 
7985 

8454 

8923 

9392 

*  9860 

967  0329 

0797 
1266 
1734 

2203 
2671 

3i39 
3607 
4076 

4544 
5oi2 


6i57 
6626 
7095 

7564 
8o32 


9210 
9680 

ot49 
0619 
1089 

1 558 
2028 

2497 
2966 
3436 

3905 
4374 
4843 
53 1 2 
5782 


6908 

7378 
7848 
83i7 
8787 

9257 
9727 
0196 
0666 
ii36 

i6o5 
2075 

2544 
3oi3 
3483 

3952 
4421 
4890 
5359 
5828 


6204 
6673 
7142 
7610 
8079 


85oi 
8970 
9438 
9907 
0376 

o844 
i3i3 
1781 
2249 
2718 

3i86 
3654 

4l22 
4590 

5o59 


8548 
9017 
9485 
9954 
0423 

089! 
1359 
1828 
2296 
2765 


62  5 1 
6720 
7188 

7657 

8126 

8595 

9<)64 
9532 
♦001 
0469 

0938 
i4o6 
1875 
2343 
2811 


3233 
3701 
4169 
4637 
5!o5 


6297 
6766 
7235 
7704 
8173 

8642 
9110 
9570 
oo48 
o5i6 

0985 
1453 
1922 
2390 
2858 


7545 
8016 

8487 
8958 
9428 

9899 
0370 

084 1 
i3ii 

1782 

2252 
2723 
3193 

3664 
4i34 

46o4 
5074 
5545 
6oi5 
6485 

6955 
7425 
7895 
8364 
8834 

93o4 
9774 
0243 
0713 
ii83 

i652 
2122 

2591 
3o6o 
353o 

3999 
4468 

4937 
5406 
5875 

6344 
681 3 
7282 


7  592 1 7639  7686 
8(^3  81 10:81 57 
8534  858!  18628 
9005 
9475 

9946 

0417 
0888 
i358 
1829 


9052  9099 
952319570 

9993  ♦o4o 
o464o5ii 
09350982 
i4o5  1452 


2299 

2770 
3240 
3711 
4181 


1876 

2346 
2817 
3287 
3758 
4228 


1923 

2393 
2864 
3334 
38o5 
4275 


7733 
8204 
8675 
9146 
9617 

0087 
o558 
1029 

1499 
1970 

2440 
291 1 
338 1 
3852 
4322 


465146984745 
5i2i  5i68  52i5 
5592  5639  5686 
6062  6109  61 56 
653265796626 


7002 
7472 
7942 
84ii 
8881 


9351 
9821 
0290 
0760 

123o 

2168 
2638 
3i07 

3577 


7049 
7519 
7989 
8458 
8928 

9398 
9868 

()337 
0807 
1276 

1746 

22l5 

2685 
3i54 
3623 


4o46 
45i5 

4984 
5453 


7096 

7566 
8o36 
85o5 
8975 

9445 
99' 5 
o384 
o854 
i323 

1793 
2262 

2732 

3201 

3670 


4093 
4562 
5o3i 
55oo 


6391 
6860 
7329 

7751I7798 
8220  8267 


3280  3326 


3748 
4216 
4684 
5i52 


3795 
4263 

473 1 
5199 


8689 
9157 
9626 
0095 
o563 

io32 
i5oo 
1968 

2437 
2905 

3373 
384i 
43io 

4778 
5246 


4792 
5262 
5733 
6203 
6673 

7143 
7613 
8o83 
8552 
9022 

9492 
9962 
043 1 
0901 
1370 

i84o 
2309 

2779 
3248 

3717 


5922  5969 


4i4o 
4609 
5078 

5547 
6016 

6485 
6954 
7423 


6438 
6907 

7376 

784517892 
83i4  836o 

8735  87821882^ 
9204  925119291 
9673  9720J9767 
oi4i  0188I0235 


0610 

1078 
i547 

20l5 

2484 
2952 

3420 
3888 
4356 
4825 
5293 


0657  0704 


4187 
4656 
5i25 

5594 
6o63 

6532 
7001 
7470 

7939 
8407 

8876 
9345 
9813 
0282 
0750 


1125 

1594 
2062 
253o 
2999 

3467 
3935 

44o3 
4871 


1172 

i64i 
2109 

2577 
3o46 

35i4 
3982 
445o 
49' 8 


53395386 


141 


Diff. 


1219 
1687 
2i56 
2624 
3092 

356i 
4029 
4497 

4965 
5433 


0 


3     4         5      6      7      8     9 


Diff.  &  Mult. 


I 

2 

3 


47 


Diff. 


47 
94 
i4i 


4 

188 

5 

235 

6 

282 

7 

329 

8 

376 

9 

423 

I 

46 

2 
3 

i38 

4 

1 84 

5 

23o 

6 

276 

7 

322 

8 

368 

9 

4i4 

Diff.  &  Mult. 


li 


It 


142 


LOGARITHMS  OF  NUMBERS. 


Hum. 

0280 

Bi 

83 
83 

o4 

85 

m 
87 

88 
89 

92  90 
91 

93 

94 

MmJCZ. 

n 
98 

99 

9300 

01 
02 

o3 
o4 

oS 
06 
07 
08 
09 

93  10 
II 

13 

1 3 

•■•if 

i5 
16 
17 

19 

93  ao 
ai 
a  2 

23 

36 

27 
a8 
29 

9330 
3i 

32 

34 

35 
36 

37, 

38 

39 


01234         56789 


tMJT  5480 
5948 
64i6 
6884 

7351 


552715573 
59956041 
64626509 
69306977 
73987445 


781978667913 

828783348380 
8801  8848 
92699316 

9736J9783 


8754 

9222 

•  9690 

968  01 57 
0625 

.1092 
1559 
2027 


0204  025 1 
0671  0718 
1  i3o  [i85 
1606  1 653 
2073  2 1 20 


562015667 
60886135 


6556 

7024 
7492 


66o3 

7071 
7538 


79598006 

84278474 
8895^8942 
9362J9409 
9880  9877 


0297 
'O765 
1 23a 
i7cx> 
2167 


•  9963 

969  o43o 
089(1 
1 362 

1829 
2395 

2761 
3227 
3693 

4159 

462§ 

5557 
6023 

6488 
6954 
7420 
7885 
835i 

8816 
9282 

•  9747 

970  oa  1 3 

0678 

1143 
1608 
2074 


7210 

7677 

8144 
8610 

9«77 

9543 
♦010 
0476 
0943 
1409 

1875 
2341 

28t>8 

3274 
3740 

4206 
4672 
5i38 
56o3 
6069 

6535 
7001 
7466 
7932 
8397 

8863 
93a8 
9794 
0259 

0724 

1190 
1 655 
2120 


2539  2585 
3oo4l3o5o 


o344 
0812 
1279 

1746 

22l4 
2681 

3i48 

4082 
4549 

5oi6 
5483 
5950 

64i7 
6884 

7257  73o4  735o 
779477707817 
819082378284 
8657  8704  8750 
91 24  9170  9217 

959096379683 

oo57  0io3oi5o 
o523  05700616 
0989  io36  io83 
1 456  i5o2  1549 

1922  1968  201 5 
2388  2435  2481 
2854  2901  2947 
3320  3367  34 1 3 
3786  3833  388o 

4252  4299  4346 
4718  4765  48i  I 
5i84  523i  5277 
565o  5697  5743 
61166162  6209 

6582  6628  6675 
704770947140 
751375597606 
7978  8025  8072 
844484918537 

891089569003 
9375  9422  9468 
984098879033 
o3o6  o352  0399 

0771  08180864 

1236  1283  1329 
170T  1748  1794 

2167  22l3  2260 

2632  2678  2725 
3097  3i43  3190 


57 1 4i  5761 
61826228 
66506696 


7117 
7585 

8o53 
8521 
8988 


7 '64 
763a 

8100 
8567 
9035 


94569503 
9923  9970 


0391 
o858 
1326 
1793 
2260 

2728 
3195 
3662 
4129 
4596 

5o63 

553c; 

5997 
6464 
6930 

7397 
7864 
833o 
8797 
9264 

9730 
0196 
o663 
1129 
1595 

2062 

2528 
2994 
3460 
3926 

4392 
4858 
5324 
5790 
6256 

6721 

7187 
7653 
81 18 
8584 


o438 
0905 

1372 
1840 
23o7 

2774 
3241 
3709 
4170 
4643 

5iio 

5577 
6043 
65 10 
6977 

7444 
7910 

8377 
8844 
9310 

9777 
0243 
0709 
1170 
1642 

2108 

2574 
3o4i 
35o7 
3973 

4439 
4905 
5371 
5836 
63o2 

6768 
7234 

863o 


90499096 
95 1 5  9561 

9980  4027 
0445  0492 
091 1  0957 


1376 

i84i 
23o6 


1422 

1888 
2353 


2771  2818 
3236*3283 


58o7 
6275 
6743 
7211 

7679 

8i46 
8614 
9082 
9549 
♦or 

o484 
0952 

1419 
1886 

2354 

2821 
3288 
3755 
4222 
4689 

5i56 
5623 
6o9f) 
6557 
7024 

749*1 
7957 

8424 
88 


5854 

6322 

6790 

7258 

7726 

8193 
8661 

0064 
o53i 

1 466 
1933 
2400 

2868 
3335 
38o2 
4269 

4736 

52o3 

5670 
6137 
6604 


90 

57 


93 
9823 

(>29() 

0756 

1222 
1689 

2i55 
2621 

3087 
3553 
4019 

4485 

495 

5417 

5883 

6349 

6814 
7280 
7746 
821 1 

8677 

9«42 
9608 
0073 
o538 
1004 

1469 
1934 


8?4 
3329 


5901 

6369 
6837 
73o5 

7772 

8240 
8708 
9175 
9643 

Olio 

0578 

1045 
i5i3 
1980 

2447 

2914 
3382 

3849 
43i6 
4783 

52  5o 

5717 
6184 
66  5o 


70701 7 1 17 

7537I7584 
8004  8o5o 


8470 
8937 
94o4 

9870 
o336 
o8o3 
1269 
1735 

2202 
2668 
3i34 

36oo 
4066 

4532 

4, 

5 


6861 

7327 
7792 
8258 
8723 

9189 

9654 
0120 
o585 
io5o 

i5i5 
1981 
24rf6 
291 1 
3376 


85i7 
8984 
9450 

o383 
0849 
i3i6 
178a 

2248 

2714 
3i8o 
3647 
4ii3 

4578 

5o44 
55io 
5976 
6442 

6908 

7J73 
7839 
83o4 
8770 

9235 
9701 
0166 
o63i 
1097 

1 562 
2027 
2492 
2957 
3422 


01234        56789 


Diff. 


Diif.  &  Molt. 


I 

47 

2 

94 

3 

i4i 

4 

188 

5 

235 

6 

282 

7 

329 
376 

8 

9 

4a3 

Diff. 


I 

46 

2 

3 

.^ 

4 

1 84 

5 

23o 

6 

276 

7 

322 

8 

368 

9 

4i4 

Diflf.  &  Mult. 


LOGARITHMS     OF     NUMBERS 


143 


Num. 

9340 

4i 
42 
43 
44 

45 
46 

47 
48 

49 

93  5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

9360 
6i 
62 
63 
64 

65 
66 

67 

68 
69 

9370 

71 
72 

73 
74 

75 
76 

77 
78 

79 

9380 
81 
82 
83 
84 

85 

86 

87 
88 
89 

9390 

91 

9? 
93 

94 

96 

9Z 
98 

99 

Num. 


0      12      3      4 


5     6     7     8     9 


97034693515 
393413980 
4399I4445 


4863 
5328 

5793 
6258 
m  6722 
7187 
7652 

8116 
858  r 
9045 
9509 

*  9974 

971  o438 
0902 
1 366 
i83o 
2294 

2758 

3222 

3686 
4i5o 
46r4 

5078 
5542 
•6oo5 
6469 
6932 

7396 

7859 

832 

8786 

•  9249 

#  97i3 

9720176 
0639 
1 102 
1 565 

2028 

2491 

2954 

3417 
388o 

4343 
48o5 
5268 
573 1 
6193 

6656 
7118 
758 1 
8043 


910 

375 


3562 
4027 

4492 
4956 
5421 


584o5886 
63o4635i 
676q'68i5 


723 
7698 

8i63 
8627 
9091 
9556 
♦020 


7280 
7745 

8209 
8673 
91 38 
9602 
0067 

o484o53i 
0940  0995 


!4i3 

1877 


36o8[3655 
4073  4 1 20 


4538 
5oo3 
5468 

5o32 
6397 
6862 
7326 
7791 

8255 
8720 
9'84 


4585 
5o49 
55i4 

5979 
6444 
6008 
7373 

7837 

83o2 
8766 
9231 


9649  9695 


i45o 
1923 


2341  2387 


2805 
3269 
3733 

4197 
4660 

5i24 
5588 
6o52 
65 1 5 
6979 


285i 
33i5 
3779 
4243 

4707 

5l7T 

5634 
6098 
6562 
7025 

7442  7489 
79067952 
83698415 


8833 
9296 

9759 
0222 
o685 

1 149 
1612 

2075 
2538 
3ooi 
3463 
3926 

4389 
4852 
53i4 

5777 
6240 

6702 
7i65 
7627 
8089 


8879 
9342 

9805 
0269 
0732 

IK 
16^8 


oii3 

o577 
io4i 
i5o6 
1970 
2434 

2898 

3362 

3826 

428 

475 

5217 
568 1 
6i44 
6608 
7071 

7535 
7998 
8462 
8925 
9388 

9852 
o3i5 
0778 
1241 
1704 


85o6|8552 

89689014 

94309476 

»  98929938 

973  o354  p4oi 

o8i6'o863 


2121 

2584 

3o47 
35io 
3973 

4435 
4898 
536 1 
5823 
6286 

6748 
7211 
7673 
8i36 
8598 

9060 

9523 

9985 

0447 
0909 


0109 

0624 
1088 
i552 
2016 
2480 

2944 
3408 

3872 
4336 
4800 

5263 

5727 
6191 

6654 
7118 

758 1 
8045 
85o8 
8972 
9435 

9898 
o36i 

0824 
1288 
1751 


2167 
263o 
3093 
3556 
4019 

4482 
4944 
5407 
5870 
6332 

6795 

7257 
7720 
8182 
8644 

9107 
9569 
♦o3i 
0^93 
0955 


22l4 

2677 

3i39 
36o2 
4o65 

4528 

4991 
5453 
5916 
6378 

684i 
73o3 
7766 
8228 
8690 

9153 
9615 
0077 
0539 
1001 


3701 
4i66 
463 1 
5096 
556i 

6025 
6490 
6955 
7419 
7884 

8348 
881 3 

9277 
9742 
0206 

0670 
ii34 
1598 
2062 
2526 

IT4 

3 

4 
4846 

53io 
5773 
6237 
6701 
7164 

7628 

80 

85 

9018 

9481 

9944 
o4o8 
0871 

1 334 

1797 

2260 
2723 
3i86 
3649 
4iii 

4574 
5o37 
55oo 
5962 
6425 

6887 
735o 
7812 
8274 

8737 

9199 
9661 

OT23 

o585 
io48 


3748 
42x3 
4678 
5i42 
5607 

6072 
6537 
7001 
7466 
7930 

8395 
8859 
9324 

9788 

0252 

0716 
II81 
1645 
2109 
2573 

3o37 
35oi 
3965 
4429 
4892 


379413841 13887 
42594306I4352 
472414771 '481 7 
518952355282 
5654  5700' 5747 


6118 
6583 

7048 
75i2 

7977 

844i 
8906 
9370 

9834 
0299 

0763 
1227 
1691 
)5 
2619 

3o83 

3547 
4oii 

4475 
4939 


6165,6211 
6629  6676 

709417141 
7559  7605 
8023  8070 


8488 
8952 
9416 


8534 
8990 
9463 


9881  9927 
03450391 


5356 
5820 
6283 

6747 
7211 

7674 
8i37 
8601 
9064 
9527 

0917 

i38o 
1843 

23o6 
2769 

3232 

3695 
41 58 

4620 
5o83 
5546 
6008 

6471 


54o2 
5866 
633o 
6793 

7257 

7720 

8184 

8647 
91 1 1 

9574 

♦637 
o5oo 
0963 
1426 
1889 

2352 

2815 
3278 

3741 
4204 

4667 
5129 
5592 
6o55 
65i7 


0809 
1273 
1738 
2202 
2666 

3i3o 
3594 
4o57 
4521 
4985 

5449 
5912 

6376 


o856 
1 320 
1784 

2248 

2712 

3176 

364o 
4ro4 
4568 
5o3i 

5495 
5959 
6422 


Diff. 


68406886 
73o3  7350 


7767 
8230 
8694 
9157 
9620 

oo83 
o547 

lOIO 

1473 
1936 

2399 
2862 
3325 
3787 
425o 


7813 
8276 
8740 
9203 
9666 

oi3o 
0593 
io56 
i5i9 
1982 

2445 
2908 
3371 
3834 
4296 


6933 
7396 
7858 
8321 
8783 

9245 
9707 
0170 
o632 
1094 


6980 
7442 
7905 


47 1 3  4759 
5176I5222 
5638  5685 
6ioij6i47 
6563, 6610 


7026 


7488 

795  r 

8367184 1 3;8459 

8829  8875,8922 


7072 
7535 
7997 


929 

975 

0216 

0678 

ii4o 


93389384 
980019846 
o262'o3o8 
07240770 
11861232 


0      1 


3      4 


5     6     7      8     9 


Diff.  &  Mult. 


I 

47 

2 

94 

3 

i4i 

4 

188 

5 

235 

6 

282 

7 

329 

8 

376 

9 

423 

Diff. 


I 

46 

2 

3 

i38 

4 

184 

5 

23o 

6 

276 

7 

322 

8 

368 

9 

4i4 

Diff.  &  Mult. 


«i 


fl 


n 


i 


\l 


( 


144 


LOGARITHMS  OF  NUMBERS. 


Num. 

9400 

oi 

Ol 

o3 
o4 

oS 
06 
07 

'08 
09 

94  10 
II 

i3 

i4 

i5 
16 

17 
18 
19 

9420 
21 
33 

33 

34 

35 

36 

27 

38 

39 

94  3o 
3i 

33 

33 
34 

35 
M 

37 
38 
39 

4i 
4a 
43 
44 

4S 

47 
48 
49 

o45o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 

Nam. 


0      12      3      4 


973  1379 

1741 

3303 

a664 
3i36 

3588 
4oSo 


i3'j5 
1787 
3349 
3711 
3172 

3634 
4oc 


45 1 1  4558 

4973  5019 
54355481 


1371  1417 
1 833  1879 


3395 

3737 


3341 

38o3 


33193265 


368o 
4 1 42 

46f:»4 


3727 
4i88 
465o 


5o65i5ii2 

552715573 


1 463 
1925 
2387 
2849 
33ii 

3773 
4234 
4696 
5i58 
5619 


5896  594?  598916035  6081 

6358  64o4  645(.',649(')  6542 
6oiil6938  7cx»4 

7373;74i9|7465 
7834,788017926 


6819 


7281 

7742 


.6865 

7327 
7788 


83o3i8249 
86648711 
9126  9172 

•  958719633' 
974  oo48  0094 


o5o9 

0970 
i43i 


8295 

8757 
9218 
9679 
01 4o 


o555o6oi 
1016  1062 

1 477  i5v3 
1802  iq38  1984 
335323992445 

I'       I 
2860!  2006 
32-f4i332o  3367 


834218388 
88o3|8849 
!  92641 93 10 

,9725'977i 
oi86:0232 

0647  0693 

!io8!n54 

1569,1615 
20302076 


3491 


(537 


3735  3781 


4196 
4656 

5ii7 

5577 
6o38 

6498 
6959 

7419 
7879 
834o 
88oc: 
9260 

#  9720 

9750180 

0640 

1 100 

i56o 

ao2o 

3479 

3o39 
3399 

3858 

43i8 
4778 
5337 
5697 
6i56 

66i5 
7075 
7534 
7993 
8453 


4242 
4702 

5i63 
5623 
6084 
6544 
7oo5 

7465 
7925 
8386 
8846 
9306 

9766 
0226 
0686 
1 146 
1606 

2066 

2525 

2985 
3445 
3904 

4364 
4824 


3827 
4288 

4748 


295i  2998 
34i3,345y 
3873  3919 

433414380 
479514841 


52o9  5255|53oi 
5670571615762 
6r3o|6f76|6222 
6590  663616683 


705 1 


7097 


75 1 1  7557  7603 
7971  80178063 
8432  8478  8524 
8892;  8938  8984 
9352j  9398  9444 


9813 

0272 
0733 
1 192 
i652 


9858 
o3i8 
0778 
1238 
1698 


2II3  3l58 

2571  2617 

3o3ij3o77 
34913537 
39503996 

44 10  4456  45o3 


7143 


9904 
o364 
0824 
1384 
1744 

3204 

2663 
3i23 
3583 
4042 


487049154961 
5283532953755421 
5743,5788  5834|588o 
620216248  6294  634o 


6661 
7121 

7580 


67076753 
7166  72 1 2 
76267672 


8o39'8o85  8f3T 
849618544  8590 


7718 

8177 
8636 


D 


i5io 
1972 

3433 
2895 
33^7 

3819 
4281 
4742 
52o4 
5665 

6137 
6588 
7o5o 
75ii 
7973 

8434 
8895 
9356 
9817 
0379 

0740 

I30i 

1661 

2122 
2583 

3o44 
35o5 
3963 


848o 
8941 
9403 

9864 
o325 


602 1 1648 
2064  2110 


2526 
2988 
3449 

3911 

4373 
4835 
5296 
57^8 

6219 


7142 

76^14 

8oi9[8o65 

8526 

8987 

9449 

9?'« 
0371 


0786 

1247 
1708 

2l6« 

26^*9 

3090 
355 1 
4on 


4426  1^72 
488-  '4933 

5347  53 


o832  0878 
i  293  1 339 

17M  >8oo 
2215  2261 
2675  272 1 

3i363i82 
35973643 
4o58  4io4 
45t8]4564 
f979 ,5o25 


58o8 
6268 
6729 
7189 

7649 
8109 
8570 
9o3o 
9490 

9950 
o4io 
0870 
i33o 
1790 

335© 

2709 
3169 

3629 

4088 
4548 

5oo7 

5467 
5926 
6386 

6845 
73o4 
7763 
8223 
8682 


2572 
3o34 
3496 

3957 

4419 
4881 
5342 
58o4 

6265 
6727 
7188 
7650 
8111 

8572 
9033 

9956 
o4i7 


6  7  8  9 

7556 
2018 
2480 
2941 
34o3 

3865 
4327 
4788 
52  5o 
5712 

6173 
6635 
71196 

7557 


1604 
3i56 
2618 
3o8o 
3542 

4oo4 

4465 

4927 
5389 
585o 

63 1 3 

6773 
7234 
7696 
8157 

8618 
9080 

9541 
♦002 
o463 

0924 
1385 
■  846 
33o7 

2768 


3 
58^4 
63i4 

6775 
7235 

7695 
8i55 
8616 
9076 
9536 

9996 
04  56 
0916 
1376 
1 836 

2296 

3755 
32 1 5 
3675 
4i34 

4594 
5o53 
55i3 
5972 
6432 

6891 
7350 
7809 
8269 
8728 


5439 
Sooo 
6j6o 
6821 
7281 

774 1 
8201 
8662 
9122 
9582 

♦042 
o5o2 
0963 
1422 

1882 

234i 
2801 
3261 
3721 

4180 

464o 
5099 
5559 
6018 
6478 

^P 

7855 


r /or 
3403 

5946 

64o6 
6867 

7327 

7787 
8248 
8708 
9168 
9628 

0088 
o548 
1008 
i468 
1928 

2387 
3847 
33o7 

3767 
4226 

4686 
5i45 
56o5 
6064 


3228 
3689 
4i5o 
4610 
5071 

553 1 
5992 
6452 
6913 
7373 

7833 
8294 
8754 
9214 
9674 

01 34 
0594 
io54 
i5i4 
1974 

3433 
3893 
3353 
38i3 

4272 

4733 
5191 
565 1 
61 10 


6523  6569 


6983 
7442 
7901 


83i5|836o 
87748820 


7030 
7488 

7947 
84o6 
8865 


01234         56789 


Di.r. 


Difi'.Ac  Molt. 


I 

47 

3 

94 

3 

i4i 

4 

188 

5 

235 

6 

283 

7 

329 

8 

376 

9 

423 

46 


DiflT. 


I 

3 

3 
4 
5 
6 

7 
8 


46 

i38 
1 84 
23o 
376 

322 

368 
4i4 


Diff.  &  Mult. 


LOGARITHMS     OF     NUMBERS. 


Num. 

9480 

61 
62 
63 
64 

65 

66 

67 
68 
69 

9470 
71 
72 
73 
74 

75 
76 

77 
78 

79 

9480 
81 
82 
83 
84 

85 
86 

87 
88 
89 

9490 
91 

94 

96 

9Z 
98 

99 

9500 
01 
02 
o3 
o4 

o5 
06 
07 
08 
09 

95  10 
II 
12 
i3 
U 

i5 
16 

17 
18 

19 

Num. 


0      12      3     4 


5     6     7     8     9 


975891118957 

9370  9416 

#  08299875 

976  0288  o334 
07470793 


1206 
i665 
2124 

2582 

3o4i 

35oo 
3958 

4417 
4875 
5334 

5792 
625 1 
6709 
7167 
7625 

8o83 

854 1 
9000 

9458 


1252 
I7I1I 
2170 
2628 
3087 


9003  9049  9095 

9462  95o8|9554 
9921  9967  ♦oi3 
o38o'o426  0472 
o839|o885o93i 

1 344  1390 
i8o3  1849 
2261  23o7 
2720  2766 
31793225 


1298 

1757 
2216 

2674 
3i33 


35463592 
4oo4|4o5o 
4463,4509 
4921  4967 


538o 

5838 
6296 
6755 
72 1 3 

7671 

8129 

8587 
9045 
95o3 


5425 

5884 
6342 
6800 
7259 
7717 


#  99159961 


97- 


0373 
o83i 
1289 

1747 
2204 

2662 
3 1 20 

3577 
4o35 
4492 

4950 
5407 
5864 

6322 

6779 

7236 

7693 

8i5o 
8607 
9064 


3637 
4096 

4554 
5oi3 

5471 

5930 
6388 
6846 
73o5 

7763 


3683 
4i42 
4600 
5o59 
55i7 

5976 
6434 
6892 
73do 
7808 


0419 
0877 
i335 
1793 

225o 


2708 

3i65 
3623 
4o8i 
4538 


8175 
8633 
9091 

9549 
♦007 

o465 
0923 
i38i 
1 838 
2296 

2754 

3211 

3669 
4126 
4584 


8221 

8679 
9137 
9595 
oo53 


8267 
8725 
9183 
9641 
0099 


o5ii  o556 
0969  ioi4 
1426  1472 
1 884  1930 
2342  2388 


9141 
9600 
ooSo 
o5i8 

0977 

i436 
1894 
2353 
2812 
3270 

3721 

4i8 

4646 

5io5 

5563 

6021 
648o 
6o38 
7396 
7854 

83i2 
8770 
9229 
9686 
oi44 

0602 
1060 
i5i8 


91879233 
9646  9692 
oio5oi5i 
o564!o6io 

1023 


i48i 
>4o 


9279  9325 
9738,9784 
oi97|0243 
06560701 


1069 

i527 

1986 

i9'2445 

2858*2904 

33i6,3362 


iii4 
1573 

2032 
2491 
2949 
3408 


3775,3821 

423342794325 

4602 


4738|4784 
05196  5242 


5i 
56o9]5655 


1160 

1619 
2078 
2537 

3867  3913 
4371 

483o 
5288 


6067 
6525 
6984 
7442 
7900 

8358 
8816 

9274 
9732 
0190 


6ii3 
6571 
7o3o 
7488 
7946 

84o4 
8862 
9320 
9778 
0236 


o648 
1106 
1 564 


4995 
5453 
5910 
6367 
6825 

7282 

7739 
8196 

8653 
91 10 


5o4i 

5499 
5956 

64i3 

6870 

7327 
7785 
8242 
8699 


27 

32 

3715 
4172 
463o 

5087 

5544 
6002 
6459 
6916 

7373 
783o 
8287 
8744 


1976  2021 
2433  2479 


2845 
33o3 
3760 
4218 
4675 

5i33 
5590 

6047 
65o5 
6962 

7419 
7876 
8333 
8790 


289 

3349 

38o6 

4264 

4721 

5178 
5636 
6093 
655o 
7007 


5701 

6159 

6617 

7075 

7534 
7992 

845o 
8908 
9366 
9824 
0282 


5746 

6205 
6663 
7121 

7579 
8o38 

8496 
8954 
9412 
9870 
o328 


2937 
33 

38^2 
4309 

4767 

5224 
568 1 
6139 
6596 
7o53 


06 
II 
1609 
2067 

2525 

2982 

3440 
3898 
4355 
4812 


0740 
1 197 

i655 

2ll3 

2571 

3028 

3486 
3943 
4401 
4858 


9521  9567 


#  9978 

978  0435 

0892 

1 348 

i8o5 
2262 
2718 
3175 
363 1 


♦024 
o48i 
0937 
1394 

i85i 
23o7 
2764 

3221 

3677 


9 1 56  9201  9247 

9613 
0069 
0526 
0983 
1 440 


4088 

4544 
5qoi 
5457 
5913 


1897 
2353 
7810 
3266 
3723 

4179 
4636 

5092 

5548 


9658 
on  5 
0572 
1029 
i485 

1942 

2399 
2855 
33i2 
3768 


4i34 
4590 
5o46 
55o3 
5959I6005 


4225  4270 


9704 
0161 
0618 

1074 
i53i 

1988 

2444 
2901 
3358 
38t4 


7465  7510 
7922  7967 

8379  8424 
8836  8881 
9293  9338 

9750  9795 


4681 
5i38 
5594 
6o5o 


4727 
5i83 
564o 
6096 


0207 
o663 
1 1 20 

1 577 

2o33 
2490 
2947 
34o3 
386o 


0252 
0709 
1166 
1622 

2079 
2536 
2992 

3449; 
3905 


5270 
5727 
6184 
6642 
7099 

7556 
801 3 

8470 

8927 

9384 

9841 
0298 
0755 
1211 
1668 


53i6 

5773 
d23o 
6687 
7145 

7602 
8059 
85i6 
8973 
9430 


0785 
1243 
1 701 
2159 
2616 

3074 
3532 
3989 

4447 
4904 

536i 
5819 
6276 
6733 
7190 


9887 
o344 
0800 
1257 
1714 


43i6 

4773 
5229 
5685 


2125 

258i 

|3o38 

3495 

3951 


145 


Diff. 


4362 
4818 
5274 
5731 


2170 

262 

3o8 

3540 

3997 


7647 
8io5 
8562 
9019 
9476 

9932 

0389 
o846 
i3o3 
1760 

2216 

7I2673 

4  3129 

3586 

4o42 


4407  4453 

48644909 
5320' 5366 
15776  582215868 
6141I6187  6233i6278j6324 


4499 
4955 

54ii 


01234         56789 


Di.T.  &  Mult. 


I 
3 

3 

4 
5 
6 

7 
8 

9 


46 

i38 
184 
23o 

376 

322 

368 
4i4 


III 


H 


I 

45 

3 

3 

1I5 

4 

180 

5 

335 

6 

270 

7 

3i5 

8 

36o 

9 

4o5 

r 


Diff. 


Diff.  fc  Muh. 


19 


■ 


146 


LOGARITHMS  OF  NUMBERS . 


NOIDU 
31 

aa 

34 

aS 
a6 

27 
3® 
99 

95^30 

33 

.33 
34 

35 
36 

d7 
38 
39 

9540 
4i 
43 
43 

45 

4? 
4S 

49 

95  5o 
5f 
5a 
53 
54 

55 

57 
58 
59 

9560 
61 

63 
63 
64 

65 
66 

67 
66 
69 

9570 

71 

72 

73 
74 

75 

76 

77 
78 

79 


0      12      3     4 


5     6     7     8     9 


©TO  63601 
68ao 

7382 
7738 
8194 

865o 
9106 

9562 

9790017 
0473 


64i5 
6871 

7327 
7783 
8239838 


I 

i84o 
3396 
3751 

3207 
1J002 
'4' 18 
4573 
5o38 

5484 
j39 

6849 
73o4 


8695 
9i5i 
9607 

oo63 
o5i9 

0975 
i43o 
1886 
2341 

2797 

3253 
3708 
4i63 
46i 

5074 


7759 
8214 


98ocx>34 
o4B8 
0943 
1J98 

i852 

33o7 
3761 
3216 
3670 
4ia5 

4579 
5o33 

5487 
5942 
6396 

685o 
73o4 
7758 
8212 
8666 

9573 

981  0027 

o48i 

0934 

1 388 
i84i 
2295 
2748 
3202 


6461 
6017 

7^73 
783 


87411 

9197 

96S3 

01 

o564 


42094 
94664 


5529 

5984 
644o 
68o5 
735o 

7805 
8260 
86698715 
91349170 
9579  9624 


007901 


o534 
0989 
i443 

1898 

2352 

2807 
3a6! 
3716 
4170 

4624 
S079 

«J  i.W#tJI<llJ 

5987 
644i 

6895 
7349 
7803 

8257 
87 1 1 

9165 

9619 
0072 
o526 
0980 

1433 

1887 
2340 
2794 
3247 


t 


6962 

7419 
7875 
833 1 

8787 
9243 
9606 
0134 


0901 


1020 

1476 
loSi 

3i87 

2843 


5l20 


0610 
to66 

l52I 

1977 
2433 
2888 

3344 
3799 

254 

4710 
5i65 


83o5 
8760 
9215 

9670 


25 

0579 
io34 
1 48 
194 

3398 
>853 
33o7 
3761 
42i5 

4670 
5 1 24 
5578 
6o32 
6486 

6941 
7395 
7849 
83oa 
8756 

9210 

9664 
0118 

0571 

1025 

1479 
1939 
2386 
2839 
329: 


65o6t6552 
7008 
7464 

7030 

8376 

883a 
9288 

9744 
oaoo 
o656 

nil 
i567 

202  3 
2478 
2934 

3389 
3845 
43oo 
4755 

32 1 1 

5666 
6121 
6576 
703 1 
7486 

7941 

8306 
885 1 
9306 
9761 

0216 
0670 
ifaS 
i58o 
2o34 

2489 
45 
33o6 
385j 
43o6 

4761 
5ii5 
5669 
6ia3 

6577 

703 1 
7485 


5620 
6076 
653 1 
6986 
744 « 

7850  78^6 


8331 
8806 
9261 
9715 

0170 
o6a5 
1080 

i534 
1989 

2443 
2898 
336a 
38o7 
4261 

47i5 
5169 
56a4 
6078 
6532 

6986 
744o 
789^ 
8348 
8802 

9a  56 


8393 

8847 

93oi 


016 

0617 

1070 

i5a4 

1977 
243. 
2884 
3338 


0208 

0662 
1 116 

i569 
2023 
2476 
2930 
3383 


65o8 

7054 
75 1  o 
7966 

8432 

8878 

9334 
9790 
0245 
0701 

1 1 57 

i6i3 

2068 
2524 
2979 

3435 

389f 
434(> 
4801 
5256 

571 1 
6167 
6622 

7077 
7532 


897894 

l352  QJO 


7987 

8442 

8 

93 

9806 

0261 
0716 
1170 
1625 
3080 

3534 
3989 
3443 
3897 
4352 

4806 

5a6o 
5714 
6169 
66a3 

7077 
753 1 
7985 


6643 
7000 
7555 
8011 
8467 

8023 
937 
983 
0291 

0747 

1202 
1 658 

2Il4 

2569 
3o25 

348t> 
3o3r> 
4391 
4846 
53o2 

5757 
62 1 2 
6667 
712a 
7577 

8o3a 

8487 


8892 


9800 
0254 
0707 
1 161 

i6i5 
2068 

2522 

2975 

3428 


66B9 
7145 
7601 

8o57 
85i3 

8969 
9425 
9881 
o337 
079a 

1248 

1704 
21S9 
2615 
3070 

35  a6 
398. 

4437 
4892 

5347 

58o2 
6258 
6713 
7168 
7623 

8078 


9852 

o3o7 
076 
r2i6 
1671 

2125 

258o 

3o34 

3481 

394 

4397 

485i 

53o6 
5760 
6214 
6668 

7132 
7576 
8o3o 


84398484 


8938 


93469392 


,6734 

7191 

7647 
8io3 


85598604 
9015 


9926 
o382 
o838 


1339 

1795 
22S0 
2706 
3i6i 

.3617 

4072 
4528 
4983 
5438 

5893 
6349 
6804 
7259 
7714 

8169 
8624 
8988  9033  9079 
9443  9488  9533 
989799439988 


1394 

1749 

2  2<  )5 

2660 
3ii6 

3571 
4037 
4482 

4937 
5393 

5848 
63f)3 
6758 
72i3 
7668 

8123 
853318578 


9845 
0299 
0753 
1 306 

1660 

2Il3 

2567 

3020 

3474 


o352 
0807 
1261 
1716 
3171 

3635 
3o8o 
3534 

3988 
4443 

4897 
535i 
58o5 
6259 
6714 

7168 

7622 

8075 

852 

898 

9437 
9891 
o344 
0798 

1252 

1705 
21 59 
2612 

3o66 
3519 


6780 
7336 
7692 
8i48 


9060 
94709516 
9972 
0428 
o883 


0398 
o852 
i3o7 
176 

33l6 

267 

3 1 35 

3579 
4o34 
4488 

4942 
5397 
585  r 
63o5 


72i3 

7667 
8121 
8575 


0443 
0898 
1 352 
1807 
2361 

3716 
3170 
3635 
4079 
4533 

4988 
5442 
5896 
635o 


67596804 


7258 
7712 
8166 
86ao 


90399074 


9482 
9o36 
0390 

0844 
1297 

1751 
2204 
2658 
3iii 
3564 


9538 
9982 
0435 
0889 
1 342 

1796 

2250 
2703 
3i56 
36io 


01234        56789 


Difl*. 


Diflr.&MuIt. 


I 

46 

3 

3 

iS 

4 

i84 

5 

23o 

6 

276 

7 

333 

8 

368 

9 

4i4 

I 

3 

3 

4 
5 
6 

7 
8 


45 

i?5 

180 

325 
270 

3i5 

36o 
4o5 


Ditr. 


Diir.  tc  Mult. 


LOGARITHMS     OF    NUMBERS. 


147 


Num. 

9580 

8t 
82 
83 
84 

85 
86 

87 
88 
89 

9690 
9' 

93 

94 

96 

98 
99 

9600 
or 
02 
o3 
o4 

o5 
06 
07 
08 
09 

96  10 
II 

13 

i3 

i4 

i5 
16 

17 
18 

»9 

9620 
21 
33 

33 

34 

a5 
36 

27 
38 
29 

9630 
3i 

32 

33 

34 

35 

36 

37 
38 
39 

Nnm. 


0 


234        56789 


981  3655 
4108 
4562 
5oi5 
5468 

5921 

6374 
6827 
7280 
7733 

8186 
8639 
9092 
9544 
*  9997 

982  o45o 
0902 
i355 
1807 
2260 

2712 
3i65 
3617 
4069 

4522 

4974 
5426 
5878 

633o 
6782 


3700 

4i54 
4607 
5o6o 
55i3 

5966 
6420 
6873 
7326 
7778 

823i 
8684 
9137 
9590 
♦042 

0495 
0948 
i4oo 
r853 
23o5 

2758 

32IO 

3662 
4ii5 
4567 

5019 

547' 
5923 

6375 

6837 


3746 

41 

46 

1106 

5559 

6012 
6465 
6018 

7371 
7824 

8277 
8729 
9182 
9635 
0088 

o54o 
0993 
1445 
18 

23 


7234 
7686 
8i38 
8589 
9041 

9493 

«  9945 

983  0396 

o848 

1299 

1751 
3  202 
2654 
3io5 
3556 

4007 
4459 
4910 
536t 
58i2 

6263 
6714 
7i65 
76)6 
8066 


7279 
773 1 
8i83 
8635 
9086 

9538 
9990 

044 1 
0893 

1 344 

1796 
2247 
2699 
3i5o 
36oi 

4o53 
45o4 
4955 
5406 
5857 

63o8 
6759 
7210 
7661 
8111 


o 

2803 
3255 
3707 
4160 
4612 

5o64 
55 16 
5968 
6420 
6872 

7324 
7776 
8228 
8680 
9132 

9583 
♦o35 
o486 
0938 
1390 

i84i 
2292 

2744 
3195 
3646 

4098 

4549 
5ooo 

545 1 

5902 

6353 
6804 
7255 
7706 
8157 


3791 

4244 
4698 
5i5i 
56o4 

6057 
65io 
6963 
7416 
7869 

8322 

8775 

9228 

9680 

oi33 

o586 
io38 

1491 
1943 
2396 

2848 
33oo 
3753 
42o5 
4657 


5 109 
556i 
6014 
6466 
6918 


3836 
4290 
4743 
5196 
5649 

6102 
6555 

7008 
746r 
7914 

8367 
8820 
9273 
9726 
0178 

o63i 
io83 
1 536 
1988 
2441 

2893 
3346 
3798 
4230 
4702 

5i55 
5607 
6059 
65ii 
6963 


8517  8562 


8968 
94t9 
9869 


984  o32o  o365 


9oi3 
9464 
9914 


7369 
7821 
8273 
8725 

9177 

9628 
0080 
o532 
0983 
r435 

1886 
2338 
2789 
3240 
3692 

4143 
4594 
5o45 
5496 
5947 

6398 
6849 
73oo 

775 1 
8202 


74i5 
7867 
83i8 
8770 
9222 

9674 
0125 
o577 
1028 
1 480 


8607 
9o58 
9509 
9959 


8652 
9103 

9554 
♦004 


1931 
2383 
2834 
3285 

3737 

4r88 
4639 
5090 
5541 
5992 

6443 
6894 
7345 

7796 
8247 

8697 
9148 
9599 
0049 


o4iolo455!o5oo 


3882 
4335 
4788 
5241 
5695 

6148 
6601 

7054 
7507 
7960 

84(2 
8865 
9318 
9771 

0223 

0676 
II 29 

i58i 
2o34 
2486 

3843 
4295 
4748 

5200 
5652 
6io4 
6556 
7008 

7460 
7912 

8364 
88i5 
9267 

9719 
0170 

0622 

1073 

1 525 

1976 
2428 
2879 
3331 
3782 

4233 
4684 
5i35 
5586 
6037 

6488 
6939 
7390 

7841 
8292 

8743 
9193 

9644 
0095 
0545 


127 

80 

4834 

5287 

5740 

6193 
6646 
7099 
7552 
8oo5 

8458 
8911 
9363 
9816 
0269 

0721 

1 174 
1626 
2079 
253i 

2984 
3436 
3888 
4341 
4793 

5245 
5697 

6149 
6601 
7053 


39724018 

44264471 
487914924 
533215377 
5785  583 1 


62*38 
6691 

7144 
7597 
8o5o 

85o3 
8956 
9409 
9861 
o3i4 

0767 
1219 

1672 
2124 

2577 

3029 
348 1 
3934 
4386 
4838 

5290 

5742 
6194 
6646 
7098 


6284 

6737 
7190 

7643 
8095 

8548 
9001 
9454 
9907 
0359 

0812 

1264 
1717 
2169 
2622 

3o74 
3527 
3979 
443 1 
4883 

5335 

5787 
6240 
6692 
7143 


75o5 

7957 
8409 
8860 
9312 

9764 
0216 
0667 
1119 

1570 

2022 
2473 
2924 
3376 

3827 

4278 
4729 
5i8o 
563 1 
6082 

6533 
6984 
7435 
7886 
8337 

8788 
9238 
9689 
oi4o 
0590 


4o63 
45i6 
4970 
5423 
5876 

6329 
6782 
7235 

7688 
8i4i 

8594 
9046 

9499 
9952 

o4o5 

0857 
i3io 
1762 

22l5 

2667 

3II9 

3573 
4024 

4476 

4928 

538i 
5833 
6285 
6737 
7189 


DiflT. 


755o 
8002 

8454 
8906 
9^57 

9809 
0261 
0712 
1x64 
i6i5 

2067 
25i8 
2969 
3421 
3872 

4323 

4774 

5225 

5677 

6128 

6579 
7029 
7480 
7931 
8382 

8833 
9283 
9734 
OI85 
o635 


7595 

8047 

8499 
8951 

94o3 

9854 
o3o6 
0757 
1209 
1660 

2II3 

2563 
3oi5 
3466 
3917 

4368 
4819 
5271 
5722 
6173 

6624 

7075 
7525 
7976 
8427 

8878 
9328 
9779 

0230 

0680 


7641 

8092 

8544 
8996 
9448 

^?? 

o8o3 
1254 
1706 


2i57 

2608 
3o6o 
35ii 
3962 

44i3 
4865 
53i6 
5767 
6218 

6669 
7120 

7571 
8021 

8472 

8023 
9374 
9824 
0275 
0725 


12      3 


6      7     8     9 


Diif.  k.  Molt. 


I 
3 

3 

4 
5 
6 


46 

i38 

1 84 
33o 
376 

333 

368 
4i4 


I 

45 

3 

90 

3 

i35 

4 

180 

5 

325 

6 

270 

7 

3i5 

8 

36o 

9 

4o5 

DiflT. 


Difr.&Mnlt 


hi 


148 


Mwn. 

9640 

4i 
4a 
43 

45 
46 

47 
48 
49 

96  5o 
5i 

52 

53 

54 

55 

56 
57 
5d 
59 

9660 
61 
6a 
63 
64 

65 
66 
67 
68 
69 

9670 

71 

7a . 

73 
74 

75 
76 

77 
78 

79 

9680 
81 
82 
83 
84 

85 
86 

87 
88 
89 

9690 
91 
92 
93 
94 

95 
96 

97 
98 

'99 


Nvnu 


LOGARITHMS  OF  NUMBERS. 


01234         56789 


o8i5 
ia66 
1716 
2167 
2617 

3067 
35i8 
3968 

4418 
4B68 

5273  53 1 8 


t84p770 
1221 
1671 
2122 
2572 

3oa2 

3473 
3923 
4^73 
4823 


6173 
6623 
7073 

7523 

7973 
8422 
8872 
9322 

•  9771 
9850221 

0670 
1 1 20 
1669 

2019 

2468 
2017 
3366 
38 16 

4265 
47*4 
5i63 
56i2 
6061 

65io 

6959 

7407 
7856 
83o5 

8754 
9202 

•  9651 

0996 

1445 
1893 
234 1 
2790 

3238 
3686 
4i34 
4582 


0860 
i3ii 
1761 

2212 
266a 

3fI2 

3563 

4oi3 
4463 
4913 

5363 
58 1 3 
6263 
6713 
7163 

7613 
8o63 
85i2 
8962 
9412 

9861 
o3ii 
0760 
1210 
1659 

2108 
9558 
3oo7 
3456 
3905 

4355 
48o4 
5253 
5702 
61 5 1 

6600 
7048 

7497 
7946 
8395 

8843 
9292 
9740 
0189 
0637 

1086 
1 534 
1983 
243i 
2879' 


5768 
6218 
6668 
7118 

7568 
8018 
8467 

8917 
9367 

9816 
0266 
0715 
ii65 
i6i4 

2064 
25i3 
5962 
341 1 
386i 

43io 

4759 
52(>8 

5657 
6106 

6555 

70o3 
7452 
7901 
835o 

8798 

9247 
9696 

0144 
0593 

io4i 
1489 
1938 
2386 
2834 

3283 
373i 

4179 

4627467214717 


ooo5 
ii56 
1806 
2257 

2707 

3i57 

36o8 
4o58 
45o8 
4958 

5408 
5858 
63o8 
6758 
7208 

7658 
8107 

8557 
9007 
9457 

o356 
o8o5 
1255 
1704 

2i53 
2603 
3o52 
35oi 
3950 

4399 

4849 
5298 

5747 
6196 

6644 
7093 
7542 
7991 
844o 

8888 

933 

9785 

0334 

06S2 

ii3i 
1 579 
2027 
2476 
2924 


3327:3372 
3776,3820 
42244268 


5o3o  5075  5 120  5 1 65 


5478 
5926 


0951 
i4oi 
i85i 

2302 
2752 

3  202 
3653 
4io3 
4553 
5oo3 

5453 
5903 
6353 
6do3 
7253 

77o3 
81 52 
8602 
9o5a 
95oa 

9951 

o4oi 
o85o 
i3(x> 
1749 

2198 
2648 
3097 
3546 
3995 

^m 
4893 
5342 
5791 
6240 

6689 

71 38 

7587 
8o36 
8484 

8933 
9382 
9830 
0279 

0727 

1176 
1624 
2072 

2521 
2969 

3417 

3865 
43i3 
4761 
5209 

5657 
6io5 
6553 
7001 
7449 


5523|5568  56i3 

15971160166060 
6§74  64 196464,6508 
6822  6867I69H  6956 

727o'73i  4173597404 

0     12      3     4        5     6     7     8     9 


09961  io4i 
1 446 1491 


1896 

2347 
2797 

3247 
3698 
4i48 
4598 
5o48 

5498 
5o48 
6398 
6848 

7298 

7748 
8197 

8647 
9097 
95469591 


9996 

o446 
0895 
i345 
1794 

2243 
2693 
3i42 
3591 
4o4o 

4489 

4938 
5387 
5836 
6285 

6734 
7i83 
7632 
8081 


85298574 


8978 
9426 
9875 
o324 

0772 

1220 
1669 
2117 
2565 
3oi4 

3462 
3910 
4358 
48«6 
5254 

5702 
61 5o 
6598 
7046 
7493 


1042 
2392 
2842 

329a 

3743 
4193 
4643 
5093 

5543 
5993 
6443 
6893 
7343 

7793 
8242 
8692 
9142 


♦04 1 
0491 
0940 
1 389 
1839 

2288 
2737 
3 18-7 
3636 
4o85 

4534 

4983 
5432 
588 1 
633o 

6770 
7228 

7677 
8125 


9023 

9471 
9920 

()368 

0817 

1265 
i7'4 
2162 
2610 
3o58 

3507 
3955 
44o3 
485 1 
5299 

5747 
6195 
6643 
7090 
7538 


1086 
1 536 

1987 
2437 
2887 

3338 
3788 
4238 
4688 
5i38 

5588 
6o38 
6488 
6938 
7388 

7838 
8287 
8737 
9187 
9636 

0086 
o535 
0985 
1434 
1884 

2333 

2782 

3232 

3681 
4i3o 

4579 
5028 

5477 
5926 
6375 

6824 

7273 
7722 
8170 
8619 

9068 
9516 
9965 
04 1 3 
0862 

i3fo 

1758 
2207 
2655 
3io3 

355i 
4000 
4448 
4896 
5344 

5792 
6240 
6687 
7i35 
7583 


ii3i 
i58i 

2032 
2482 
2932 

3383 

3833 
4a83 
4733 
5i83 

5633 
6o83 
6533 
6983 
7433 

7883 
8332 
8782 
9232 
9681 

oi3i 
o58o 
io3o 

1479 
1929 

2378 
2827 
3277 
3726 
4175 

4624 
5073 

5522 

5971 

6420 


1176 
1626 

2077 
2527 

2977 

3428 

3878 
4328 
4778 
5228 

5678 
6128 
6578 

7028 

7478 
7028 

8377 
8827 

9277 
9726 

0176 
0625 
1075 
1 524 
1974 

2423 
2872 
3321 
3771 
4220 

4669 
5ii8 
5567 
6016 
6465 


Diff. 


86969 
3i8  7S< 


6 

73i 

7766 

8215 

8664 

9112 
9561 
♦010 
o458 
0907 

1 355 
i8o3 

2252 
2700 

3i48 

3596 
4044 
4493 

4941 
5389 

5836 
6284 
6732 
7180 
7628 


i4 
7J63 
7811 
8260 
8709 


91^7 
9606 
oo54 
o5o3 
0951 

i4oo 
1848 
2296 
2745 
3193 

364i 
4089 
4537 
4985 
5433 

588i 
6329 

6777 
7225 

7673 


Diff.  &  MulU 


45 


Diff. 


I 
a 

3 

4 
5 
6 

7 
8 

9 


I 
a 
3 

4 
5 
6 

7 
8 


46 

i38 
184 
a3o 
276 
3a  2 
368 
4i4 


45 

i35 
180 

225 

270 

3i5 
36o 
4o5 


Diff.  &  Mult. 


LOGARITHMS     OF     NUMBERS. 


Num. 

0700 

01 
02 
o3 
04 

o5 
06 

07 
08 
09 

9710 
II 
12 
i3 
i4 

i5 

16 

17 
18 

19 

97  20 
21 
22 
a3 
a4 

25 

26 

27 
28 
29 

9730 
3i 

32 

33 
34 

35 

36 

37 
38 

39 

9740 
4i 
42 
43 

45 
46 

47 
48 

49 

9750 

5i 

52 

53 

54 

55 

56 

57 
58 

59 

Num. 


0      12      3      4 


5     6 


7762178071785217896 

8210  8255  8299I8344 

86578702874718792 
9io5|9i5o  9195  9239 


986  7717 

8i65 
86x3 
9060 
95o8|9553J9597j9642 


#  9955*000 

987  o4o3  o448 

o85o  0895 

1298  1 342 

1745  1790 


2192 
2640 
3087 
3534 
3981 

4428 
4875 
5322I 
5769' 
6216 

6663 
7109 
7556 
8oo3 
84f)0 

8896 

9343 

#  9789 

988  0236 

0682 

1128 
1575 
ao2i 

2467 
2913 

336o 
38o6 
4252 
4698 
5i44 

55 
60 
648 1 
6927 
7373 


2237 
2684 
3i3i 
3579 
4026 

4473 
4920 
5367 

58i4 
6261 

6707 

7t54 

7601 
8048 
8494 

8o4i 
9387 
9834 
0280 
0727 


0045 
0492 
0940 
i3«7 
1 834 

2282 
2729 
3176 
3623 
4070 

45i7 
4964 
54ii 

5858 
63o5 

6752 

7»99 

7646 

8092 
8539 

8985 
9432 
9878 
o325 
0771 


1 173 
1619 
2066 

25l2 
2958 

3404 

385o 
4296 

4742 
5i88 


5634  567 


0090 
0537 
0985 
1432 
1879 

2326 

2774 

3221 

3668 
4ii5 

4562 
5009 
5456 
5903 
635o 

6797 
7243 
7690 
8137 
8583 

9o3o 

9^77 
9923 
0370 
0816 


1218 
1664 
2110 
2556 
3oo3 

3449 
3895 

4341 

4787 
5233 


6080 
6526 
6972 

7417 
78187863 
8264  83o9 
87108754 
91559900 

9601  9645 


9890046 
0492 
0937 
1 382 
1828 

2273 
2718 
3i63 
36o8 
4o53 


0091 
o536 


9687 

01 34 
o582 
1029 

1477 
1924 

2371 
2818 
3266 
37i3 
4160 

4607 

5o54 
55oi 
5948 
6395 

684 1 
7288 
7735 
8182 
8628 

9075 
9521 
9968 

o4i4 
0861 


0981 

1427 
1872 

23i7 
2762 
3208 
3653 
4098 


612 

6570 
7016 
7462 

7908 
8353 

8799 
9244 
9690 

oi35 
o58i 
1026 

1471 
1917 

2362 

2807 
325? 
3697 
4i42 


1262 
1709 
21 55 
2601 
3o47 

34o3 
3939 

4386 
483 1 

5277 

5723 
6169 
66i5 
7061 
75o6 

7952 
8398 


i3o7 
1753 
2200 
2646 
3092 

3538 
3984 
443o 
4876 

5322 

5768 
6214 
6660 
7io5 
755i 

7997 

8442 


8843  8888 
9289  9333 


9734 

0180 
0625 
107 1 
i5i6 
1961 

2406 
285i 
3297 
3742 
4187 


9779 

0224 
0670 
iii5 
i56o 
2006 

245i 
2896 
3341 

3786 
423 1 


7941  i  79861803 1 
8389'8434i8478 


8837 
9284 
9732 

0179 
0627 
1074 

l521 

1969 

2416 
2863 
33io 

3757 
42o5 

4652 
5o, 


88818926 
9329'9374 
9776.9821 

0224  0269 


0671 
1 1 19 


0716 
ii63 


i566ji6ii 
201 3  2o58 

2461  25o5 
2908  2953 
3355  3400 
38o2  3847 
4249  4294 

469614741 
5i43.5i88 


5545,  SSooj  5635 
59926037,6082 
6439'6484  6529  6573 

6886693 1 


7333 

7780 
8226 
8673 

9119 
9566 
♦012 
0459 
0905 

i352 
1798 

2244 
2690 
3i36 

3583 
4029 

447^ 
4921 

5367 

58x3 
6258 
6704 
7i5o 
7596 

8o4i 
8487 
8932 


7^77 
7824 
8271 

8717 

9164 
96x1 
oo57 
o5o3 
0950 

1396 
1842 
2289 
2735 
3i8x 

3627 
4073 
4519 
4965 
54ii 

5857 
63o3 


6975 
7422 
7869 
83x6 
8762 

9209 
9655 
0102 
o548 
0994 

i44i 
1887 
2333 
2780 
3226 

3672 
4118 
4564 
5oio 
5456 


7020 
7467 
79x4 
836o 
8807 

9253 
9700 
0146 
o5q3 
1039 

i485 

I032 

2378 
2824 
3270 

3716 
4162 
4609 
5o54 
55oo 


6749  6793 


5902  5946 
634816392 


9378 
9823 

0269 
0714 
1160 
i6o5 
2o5o 

2495 

2940 
3386 
383 1 
4276 


7194 
7640 

8086 
853i 

8977 
9423 
9868 

o3i3 

0759 

1204 

i64< 

209! 

254o 
2985 
343o 


6838 


7239 
7685 

81 3o 
8576 
9022 
9467 
9913 

o358 
o8o3 
1249 
1694 
2139 

2584 
3o3o 

3475 
3875  3920 
4320  4365 


7284 
7729 

8175 
8621 
9066 
9512 
9957 

O4o2 

o848 
1293 
17J8 
2184 

2629 
3o74 
35x9 
3964 
4409 


7065 
75ii 
7958 
84o5 
885 1 

9298 
9745 

OXOI 

0637 
io84 

i53o 
1976 
2423 
2869 
33x5 

3761 
4207 
4653 
5099 
5545 

5991 

6437 
6882 
7328 

7774 

8220 
8665 

91 IX 

9556 
♦002 


0447 
0892 

1 338 

1783 

2228 

2673 
3x19 
3564 
4009 

4454 


0      1 


3      4 


5      6      7      8     9 


Diff. 


I 

A4 

a 

88 

3 

l32 

4 

176 

5 

220 

6 

264 

7 

3o8 

8 

352 

9 

396 

Diff.  &  MulU 


M* 


LOGARITHMS    OF     NUMBERS. 


©760 

6i 
6a 
63 
64 

65 
66 
67 
6tt 
69 

9770 

71 
72 
73 

74 

75 
76 
77 
78 
79 

9780 
81 
82 

83 
84 

85 
86 

87 
88 
89 

9790 

9» 
9a 

93 
94 

98 

99 

9800 

01 

02 

o3 
o4 

o5 
06 

07 
08 
09 

98  10 
II 

i3 
14 

i5 
16 

\l 

19 
Num. 


01234        56789 


980  4498j4543|4587i4632 


49434988,503  a 
5388  5433  5477 


58335877 
627816322 


6722' 
7167 
7612 
8o57 
85oi 

8946 
931 


6767 
7212 
7656 
8101 
8546 


5922 
6367 


5077 
552 
5966 
64ii 

681 1  6856 
7256  73oi 

7701  7745 
81458190 
85908634 


8990' 9035  9079 
9435i9479;9523 


•  9835198701992 

990  0279  o32  3 
0723  0768 


1168 
161 2 

2o56 
25oo 

2944 

3389 
3833 

4277 
4721 

5i64 

56o8 
6o52 
6496 
6940 
7383 

7827 
8271 

8714 

91 58 

•  9601 

9910044 
o488 
0931 
1374 
18 18 

2261 
2704 
3i47 
3590 
4o33 


4476  4520 


4919 


1212 
1 656 
2101 
2545 
2989 

3433 
3877 
4321 
4765 
5  209 

5653 
6096 
654o 
6984 
7428 

7871 
83i5 
8758 
9202 
9645 

0089 
o532 
0975 
1419 
1862 

23o5 
2748 
3191 
3634 
4077 


4963 


5362  i  5406 
58o5  5849 
6247.6292 

66906734 
71337177 
7575  7620 
80188062 
846i85o5 


o368 
0812 

1257 
1701 

2 145 
2589 

3o33 

3477 
3921 

4365 

4809 

5253 

5697 

6i4i 
6585 
7028 

7472 

7916 
8359 
88o3 
9246 
9690 

oi33 
0576 
1020 
1 463 
1906 

2349 
2793 
3236 
3679 

4l22 

4565 
5007 
545o 
5893 
6336 


8o(.38q47 

9345  9390 

•  97889832 

999  o23o  0275 

0673I07I7 


9968 
o4i2 
oS57 

i3oi 
1745 
2189 
2634 
3078 

3522 
3966 

4410 
4854 
5298 

5741 
6i85 
6629 

7073 
7516 

7960 

84o4 

8847 
9291 

9734 

0177 
0621 
1064 
i5o7 
1951 

3394 
2837 
3280 
3723 
4i66 

4609 
5o52 
54o5 
5937 
638o 


8992 
9434 
9876 
o3f9 
0761 


6779 

7221 

7664 
8107 
85498593 


6823 
7266 
7708 
8i5i 


9o36 
9478 
9921 
o363 
o8o5 


4676 

5l21 

5566 
601 1 
6456 

6900 

7345 
7790 
8234 
8679 

9123 
<)568 

«OI2 
0457 
0901 

1 345 
1790 
2234 
2678 
3l32 

3566 
4oio 

4454 
4898 
5342 

5786 
6230 
6673 

7117 
7561 

8004 
8448 
8891 
9335 
9778 

0222 
o665 
1108 
1 552 
1995 

2438 
2881 
3324 
3767 
4210 

4653 
5096 
5539 
5982 
6424 

6867 
73io 
7752 
8195 
8638 

9080 
9522 
9965 
0407 
08  5o 


583o 
6274 
6718 
7161 
7605 


84^ 


9379 
9823 


4765 
5210 
5655 
6100 
6545 

% 

7434 

7871 
832 
8768 

9212 

9657 

UIOI 

o546 
0990 

1434 
1878 

2323 

2767 

32II 

3655 
4099 
454J 

4987 
5431 

5875 
63i8 
6762 
7206 


4810  4854 
5255  5299 

56995744 
6144  6189 

65896634 

7034  7078 
7478  7523 
7923  7968 
8368  8412 
88128857 

9257  930  T 

9701  9746 
01460190 
0590  06.34 
io34  1079 

1479  ^^"^^ 
1923  1967 
23672411 
281 1 '28.56 
3255  33oo 

3699  3744 
4i4J4i88 
4587|4632 
5o3 1  5076 
5475,5520 

59105963 
636  J  6407 
6806685 


8049  8093 


853? 
8980 

94a4 
9867 

o3io 
0754 

"97 
1640 
ao83 


72  5o 


76497694 


8137 
858 1 
9025 
9468 
9911 

o355 
0798 

I24i 

i685 
2128 

2571 


2527 

297o|3oi4 
3413)3457 
38 12  3856;  3900 
425542994343 

4697  4742 14786 
5i4o5i85  5229 
5583;  5627!  5672 
6o26,6o7o'6ii5 
646965i3,6557 

6911 

7354 

7797 
8239 


6956,7000 
73987443 
7841I7885 
8284.8328 
8682  8726,8770 


9124 
9567 
♦009 
o45i 
0894 


9169  92 1 3 

9611J9655 
00530098 
04960540 
093810982 


7295 

7738 

8182 
8625 
9069 
9512 
9956 

0399 
0842 
1286 

1729 
2172 

2615 
3o58 
35oi 

3944 
4J87 

483o 
5273 
5716 
6159 
6602 

7044 
7487 
7929 
8372 
881 5 

9257 
9699 
0142 
o584 
1026 


4899 
5344 
5788 
6233 
6678 

7123 
7567 

80[2 

8457 
8901 

9346 

9700 

0235 
0679 

1 1 23 

1 568 
2012 
3456 
2900 
3344 

3788 
4232 
4676 
5 1 20 
5564 

6008 
6452 
68o5 
7339 
7783 

8226 
8670 
91 13 
9557 
♦000 

0443 
0887 
i33o 

1773 
2216 

2660 
3io3 
3546 
3989 
4432 

4875 
53i7 
5760 
6203 
6646 

7088 
753i 
7974 

84i6 
8859 

9301 

9744 
0186 
0628 
1071 


Diffl 


0      12      3     4 


5     6     7     8     9 


Diir.  &  Mult 


I 
2 

3 
4 
5 
6 

7 
8 

9 


DiflT. 


I 
2 

3 

4 
5 
6 

7 
8 

9 


45 

iS 
180 

225 
270 

3i5 
36o 
4o5 


44 
88 

l32 

176 
220 
364 
3o8 
352 
396 


DiflT.  frMulU 


LOGARITHMS     OF    NUMBERS. 


151 


Num. 
9830 

31 
32 
33 

a4 

25 

26 
37 
28 
29 

9830 
3i 

32 

33 
•34 

35 

36 

37 
38 

39 

9840 
4i 
42 
43 
44 

45 
46 

47 
48 

49 

9850 
•     5i 

52 

53 

54 

55 
56 

57 
58 
59 

9860 
61 
62 
63 
64 

65 
66 

67 
68 
69 

9870 

71 
72 

73 

74 

75 
76 
77 
78 

79 
Num. 


01234         5678     9 


993iii5 

1557 
1999 
344 1 
2884 

3326 
3768 
4210 
465 1 
5093 

5535 

5977 
6419 
6860 
7302 

7744 
8i85 
8627 
9068 
9510 

#  9951 
993  0392 

0834 
1275 
1716 

21 57 
25o8 
3039 
3480 
3921 

4362 
48o3 

5244 
5685 
6126 

6566 
7007 
7448 
7888 
8329 

8769 
9210 

#  9650 
9940090 

o53i 

0971 

i4ii 
i85f 
2291 
2731 

3172 
36i2 
4o5i 

4491 
4931 

5371 
58ii 
6251 
6690 
7i3o 


1 646 
2088 
253o 
2972 


1159 
1601 

2044 
2486 
2928 

3370 
38r2 

4254 
46o6 
5i38 

55*9 
6021 

6463 

6905 

7J46 

7788|7832 
82298274 


i2o3  1248 


1690 

2132 
2574 

3oi6 


34i4  3458 
3856  3900 


4298 
4740 


4342 
4784 


5i82  5226 

5624  5668 
60656109 


65o7 


655 1 


6949  6993 


7390 


8671 
91 12 
9554 

9995 

o4J6 
0878 
i3i9 
1760 

2201 
2642 
3o83 
3524 
3965 

44o6 

4847 
5288 
5729 
6170 

6610 
7o5i 
74q2 
7932 
8373 

881 3 
9254 
9604 
0134 
0575 

ioi5 
1455 
1895 
2335 
2775I2820 

32163260 
3656  3700 
4095I4139 

45354579 
49755019 

54t55459 
5855  5899 
6295  6338 
6734,6778 
7174  7218 


8715 
91 56 

9598 

♦039 
o48i 
0922 
1 363 
1804 

2245 
2687 
3i28 
3569 
4oio 

445o 
4891 
5332 

5773 
6214 

6654 
7095 
7536 
7976 
8417 

8857 
9298 
9738 
0178 
0619 

io59 

1499 
1939 

2379 


7435 

7876 
83i8 
8759 
9201 
9642 

oo83 
o525 
0966 
1407 
1848 

2290 
2731 
3172 
36i3 
4o54 

4495 
4935 
5376 

58i7 
6258 

6608 
7139 
758o 
8020 
846 1 

8001 
9342 
9782 
0222 
o663 

iio3 
1 543 
1983 
2423 
2864 

33o4 
3744 
4i83 
4623 
5o63 

55o3 
5943 
6382 
6822 
7262 


1292 

1734 
2176 
2618 
3o6o 

35o2 

3q44 
4386 
4828 
5270 

5712 
61 54 
65q5 

7037 

7479 

7920 
8362 
88o3 
9345 
9686 

0128 
0569 

lOIO 

i45r 
1893 

2334 
2775 
3216 
3657 
4098 

4539 
4980 
5420 
586i 
63o2 

6743 
7i83 
7624 
8064 
85o5 

8945 
9386 
9826 
0266 
0707 

ri47 
1 587 
2027 
2467 
2908 

3348 
3788 

4227 
4667 
5107 

5547 
5987 
6426 
6866 
73o6 


i336i38o 
1778  1822 


2220 
2662 
3io5i 


2265 

2707 
3 149 


3547  3591 
3989'4o33 


443 1 
4872 
53i4 


4475 

4917 
5358 


5756  58oo 
61986242 
664o|6684 


7081 
7523 

7964 
84o6 

8847 
9289 
973o 

0172 
061 3 
io54 
1495 
1937 

2378 
2819 
3260 
3701 
4142 

4583 
5o24 
5464 
5905 
6346 

6787 
7227 
7668 
8fo8 
8549 

8989 
943o 
9870 
o3io 
0751 

1191 
i63i 
2071 

25ll 

2952 

3392 
383 1 
4271 

47" 
5i5i 

5591 
6o3i 
6470 


7125 

7567 

8009 
845o 
8892 
9333 

9774 

0216 
0657 
1098 
1 540 
1981 

2422 
2863 
33o4 
3745 
4i86 

4627 
5o68 
5509 
5949 
6390 

683 1 

7271 
7712 
8i52 
8593 

9033 

9474 
9914 
o355 
0795 

1235 
1675 

2Il5 

2555 
2996 

3436 
3875 
43i5 
4755 
5195 

5635 
6075 
65i4 


1424 
1867 
23o9 
2751 
3193 

3635 
4077 
4519 
496  r 
54o3 

5844 
6286 
6728 
7170 
7611 

8o53 
8494 
8o36 

9.377 
9819 

0260 
0701 
1142 
1 584 

20i5 

2466 
2907 
3348 
3789 
423o 

4671 

5lI2 

5553 
5993 
6434 

6875 
73i5 

7756 
8197 
8637 

9077 
9518 
9958 
0399 
0839 

1279 
1719 
2x59 
2599 
3o4o 

3480 
3919 
4359 
4799 


i5.3 


I 

23 

28 
3281 


55 

97 
9 


1469 
1911 
2353 

vf 

3237 

3679  3723 
4i2i  4i65 
4563  4607 
5cx)5  5o49 


5447 

5889 
633o 
6772 
7214 
7655 

8097 
8538 
8980 
9421 
9b63 

o3o4 
0745 
1 187 
1628 
2069 

25ro 
2951 
3392 
3833 
4274 

47i5 
5i56 
55o7 
6037 

6478 

6019 
7359 
7800 
834t 
8681 

9122 
9562 
♦002 

0443 
o883 

i323 
1763 

2203 
2643 

3o84 

3524 
3963 
44o3 
4843 


5239  5283 


5679 
6119 
6558 


5723 
6i63 
6602 


6910,6954  6998  7042 

7350173947438!  7482 


5491 

5933 
6375 
6816 
7253 
7699 

8i4i 
8583 
9024 
9465 

9907 

o348 
0789 
i23r 
1672 

2Il3 

2554 
2995 
3436 

3877 
43i8 

4759 
5200 
564i 
6082 

6522 

6963 

74o4 
7844 
8285 
8725 

9166 
9606 
0046 

0487 
0927 

t367 
1807 
2247 
2687 
3i28 

3568 
4007 

4447 
4887 
5327 

5767 
6207 
6646 
7086 
7525 


Di.T. 


Diff.  &  Mult. 


0 


3      4 


5      6      7      8      9 


44 


I 

44 

2 

88 

3 

l32 

4 

176 

5 

330 

6 

264 

7 

3o8 

8 

352 

9 

396 

I 

2 

3 
4 
5 
6 

7 
8 


Diff. 


43 

86 
129 
172 

2l5 

258 
3oi 
344 
387 


Diff.  Sc  Muh. 


^1 


lt#<« 


LOGARITHMS  OF  NUMBERS. 


a 


Num. 

0880 

8i 
8a 

84 

85 
86 

88 

89 

9890 

9* 

9i 
94 

90 

97 
98 

99 

9900 
01 
03 
o3 
o4 

o5 
06 
07 
08 

09 

9910 
II 
I  a 
i3 
i4 

i5 
16 

17 
18 
19 

9920 

31 

aa 
a3 

a4 

a5 

a6 

a8 
29 

9930 
3i 
3a 
33 
34 

35 
36 

37 
38 
39 

Nam. 


0      12      3     4 


5     6      7     8     9 


m4  7569 

8txj9 
844^! 
8888 

9337! 

•   9767 

995  0206 

u645 

io85 


76i3;7657 
8o53boQ7 
840218536 
SoSa  8976 


9371 


94i5 


981  r  9855 
02  5o  0294 
06890733 

Iia8jii7a 
i568  i6i2 


7701  7745 
8i4i8i85 
858o8624 
90209064 
9459  95o3 

9899904a 

o338  o38a 
07770831 
1216  1260 
i656  1699 


1963 
a4oa 
a84i 
3380 
3719 

4158 

45o7 
5o36 


2007  205 1  2095  2  1 39 

24461 2490] 2534  5578 
28851292929733017 
3324'3368  34i2  345(i 
3763|38o7j385i|3895 

420214246  429o!4334 


4641 
5o8o 


54745518 
591315957 

635263o6 

6791  6834 
72397273 
7668  7712 
8106  8 1 5o 

85458589 
89839027 


9432 
*  9860 
9960298 

0737 
1 175 
i6i3 
3o5i 

3489 

2927 
3365 
38o3 

4241 
4679 

5ll7 

5554 

%' 

d43o 

6868 
73o5 


9465 


9004994' 

o34a  o38i 


468547294772 
5i23  5i67'52ii 
5562  56o6(565o 
6001 16045,6089 

644o'6484'6527 
6878^6022,6966 

73i7  7J6i,74o5 


7755|77C 
8194  82: 


9115 


]4a 

0780 
1219 
1 657 
2095 
2533 

2971 
3409 

3847 
4285 
4723 

5i6i 
5598 
6o36 

6474 
691 1 

7349 


8632 
9071 
95o9j9553 

904819991 

o386  o43o 


7843 
8282 


8676  8720 


0824 
1262 
1 701 


0868 
i3o6 
1744 


774317786 
81808224 
86i8|866i 
90559099 


21392182 
2577  2621 


3oi5 

3453 
3891 
4329 
4766 

52o4 
5642 
6ti8o 
65 1 7 
6955 

7393 

783o 
8268 
8705 
9143 


3o59 

3497 
3o35 
4372 
4810 

5248 
5686 
6124 
656 1 
6999 

7436 
7874 
83ii 

8749 
9186 


9492 
•   99309974 

997o367,o4n 
o8o4  0848 
1242I1285 

16791722 

2ri6  2160 
2553  2597 


9536  9580  9624 


♦0170061 
<.455o498 
0892  [0936 
1 329!  1 373 

1766^810 

22o3|2247 
2640  2684 


9159 
9507 

♦o35 

0474 

0912 
i35o 
1788 
2226 
2664 

3ro2 
354o 
3978 
44i6 
4854 

5292 

57  Jo 
6167 
66o5 
7043 

7480 
7018 
8355 
8793 
9230 

9667 
oio5 
0542 
0979 
i4i6 


299o3o34j3o77|3i2T 
34273471(35143558 


1 854 
2291 

2728 
3 1 65 
36o2 


7789783378777021  79<>5 
8229827383178361:8405 
8668  871  a'8756  8800  8844 
9108  9i52'9i96  9239  9283 
9547.9591 19655  9679  9723 

9986  ♦o3o  0074  0118 
0426  0470  o5 1 4  o557 
o865  0000  oo53  0997 
i3o4  IJ48  1J92  i436 
I743;i787i83i|i875 


3l82!2226'227o|23l4 

2665  27002753 
3io4  3i48j3i92 
3543:3587|363i 


262  a 
3o6i 
35oo 
3939 


3983  4026  4070 


4377  44a  1 
48i6(486o 


4465'45o9 
49o4|4948 


5255' 5399  5343  5387 
569.'<i5738  578':«5825 
613316176622016264 


6571 
7010 

7449 
7887 
8326 

8764 
9202 
9641 
0079 
o5i7 

oo56 

i832 

2270 
2708 

3146 
3584 
4oaa 
4460 
4898 

5336 
5773 
6aii 
6649 
7086 

7524 
7961 
8399 
8836 
9274 


661 5  66 


7054 
7492 
7931 
8369 

8808 
9246 
9685 
01 23 
o56i 

0999 
1 438 
1876 
23i4 
2752 

3190 
3628 
4066 
45o4 
4942 

5379 

58i7 
6255 
6693 
71 3o 

7568 
8oo5 
8443 
8880 
9318 


0162 
0601 

io4i 
i48o 
1919 

235^ 
2797 
32j6 
3675 
4ii4 

4553 

5869 
63o8 

6747 
709«|7i42  7185 
7536175807624 
797580198062 
84i3|8457  85oi 

885288968039 
9290I9334  9^78 
97289772  9816 
oi67{o2ii  0254 
o6o5  0649  0693 


DiflT. 


1043 

i48t 
1920 
2358 
2796 

3a34 

3672 
4tio 
4548 
4985 

5423 
586i 
6299 
6736 

7174 

761 1 
8049 


9711 

01 48 
o586 

I023 

1 460 
1897 

2334 

2771 

3208 

3645 


1087 
1 525 
1963 
2402 
2840 

3278 

3716 
4i53 
4591 
5029 

5467 
5905 
6342 
6780 
7218 

7655 
8093 


9755 
0192 
0629 
1067 
i5o4 

1941 

2378 
2815 

3252 

3689 


84868530 
8024,8968 
9361  94o5 

97099842 
o236|Oa8o 
0673,0717 


ii3i 
1569 
2007 
2445 
2883 

33a  I 
3759 

4197 
4635 

5073 

55ii 
5q48 

6824 
7261 

7699 
8i36 

8574 
9011 

9449 

9886 
o323 
0761 


IIIO 

1 548 


ii54  II 


1 591 


1985  2028  2072 
2422  2465  2509 
2859  2903  2946 
32q6  334oi3383 
37  j3  3776  3820 


i63 


0      12      3     4 


5     6     7     8     9 


Diff.  Sl  Mult. 


I 

44 

2 

88 

3 

l32 

4 

176 

5 

220 

6 

264 

7 

3o8 

8 

352 

9 

396 

Dim 


I 

43 

3 

86 

3 

129 

4 

172 

5 

ai5 

6 

a58 

7 

3oT 

8 

344 

9 

387 

DiflT.  k.  Mult. 


LOGARITHMS     OF     NUMBERS. 


153 


Num. 

9940 

4i 
4a 
43 
44 

45 

4^ 
4i 
48 

49 

9950 

5i 

52 

53 

54 

55 
56 

57 
58 
59 

9960 
61 
62 
63 
64 

65 
66 

67 
68 
69 

9970 

71 
72 

73 

74 

75 
76 
77 
78 

79 

9980 
81 
82 
83 
84 

85 
86 

87 
88 
89 

9990 

91 
9a 

93 
94 

96 
97 
98 
99 


01234        56789 


997  3864 
43oi 
4738 

5i74 
56ii 

6o48 
6485 
6921 
7358 
7794 

823i 
8667 
9104 
9540 
*  9976 

9980413 
0849 
1285 
1721 
2157 


2593 

3029 
3465 
3901 
4337 

4773 
5209 
5645 
6080 
65i6 

6952 

7387 
7823 
8258 
8694 


3908 
4344 
4781 
5218 
5655 

6092 
6528 
6965 
74oi 
7838 

8274 
8711 

V4l 
9584 
♦020 

0456 
0893 
1329 
1765 
2201 

2637 

3073 


3951 
4388 
4825 
5262 
5699 

6i35 
6572 
7009 
7445 
7882 

83i8 
8755 
9191 
9627 
0064 

o5oo 
0936 
1372 
1808 
2245 

2681 
3ii7 


3509  3553 


4869 
53o5 
5742 

6179 
6616 
705  2 
7489 
7925 

8362 

87 
9235 
967! 
0107 

o544 
0980 
i4r6 
i852 
2288 


9129 

9564 

9990000 

0435 

0870 

i3o5 

»74i 
2176 
261 
3o46 

3481 
3916 
435o 
4785 
5220 


3945 
438 1 

4817 

5252 

5688 
6124 
656o 

6995 
743 1 
7866 
83o2 
8737 


9173 
9608 
0043 

0479 
0914 

1349 

1784 
2219 

2654 
3089 

3524 
3959 


3988 
4424 

486o 
5206 
5732 
6167 
66o3 

7039 

7474 
7910 
8345 
8781 

9216 
9651 
0087 

o522 

0957 

1390 

1828 

2263 

269S 

3i33 


2724 
3r6o 
3596 
4o32 


4o3 

447 
4912 

5349 
5786 

6223 
6659 
7006 
7532 
7969 

84o5 
8842 
9278 
971 5 
oi5i 

0587 
1023 
1 460 

1f 

233a 


3568 
4oo3 


5655 
6090 
6524 
6959 
7393 

7828 
8262 
8607 
9i3i 
9566 


4394|4437 
4829  4S72 
5264  53o7 

5698  5742 
6i33  6177 
6568  66  ri 
7046 
7480 


4468 

4904 
5340 

5775 
6211 

6647 

7082 
75i8 
7953 
8389 
8824 

9260 
9695 
o!3o 
o566 
1001 

1 436 
1871 
23o6 
2741 
3176 


36ii 
4o46 


2768 
3  204 
364o 
4076 
45i2 

4947 
5383 

58 1 
625 
6690 

7126 
7561 

7997 
8432 

8868 

93o3 
9739 
0174 
0609 

io44 

1479 
1915 
235o 
2785 
3220 


3655 
4090 
4481  45 ''4 
49164959 


535 1 


5394 


7002 
7437 


7871 
83o6 


701 5 
8349 


8740,8784 
91759218 
9609I9653 


5785  5829 
'6220,6263 
6655,6698 
70897133 


7524 
7958 


7567 
8002 


8393  8436 


8827 
9262 
9696 


8871 
93o5 
9739 


4082 
4519 
4956 
5393 
583o 

6266 
6703 
7139 
7576 
8oi3 

8449 
8885 
9322 
9758 
0195 

o63i 
1067 
i5o3 
1939 
2375 

281 1 

3247 
3683 


4126 
4563 
5ooo 
5436 
5873 

63io 

6747 
7i83 
7620 
8o56 

8493 


092 
936 
9802 
0238 


0674 
nil 

i547 
1983 
2419  2463 


4170 
4607 
5o43 
5480 
5917 

6354 
6790 
7227 
7663 
8100 

8536 
8973 
940 

984 
0282 

0718 
ii54 
1590 
2026 


4119 
4555 

5862 
6298 
6734 

7169 
7605 
8o4o 
8476 
891 1 

9347 
9782 
0217 
0653 
1088 

i523 
1958 
2393 


2855 
3291 

3727 
4i63 
4599 

5o35 
5470 
5906 
6342 

6777 

7213 

7648 
8084 
85r 
895 

9390 
9826 
0261 
0696 
ii3i 

1 567 
2002 

2437 


42x3 
465o 
5087 
5524 
5961 

63o7 
6834 

7270 
7707 
8i44 

858o 

9016 

9453 

988 

o32 

0762 

II98 

1 634 

2070 
25o6 

2942 
3378 
38i4 


28282872 


2899 
3335 

377!  ^„.^ 
4206  425o 
4686 

5l22 
5557 
5993 
6429 

6864 

73oo 
7736 
8171 
8607 
9042 

9477 
9913 
o348 
0783 
1218 

i654 
2089 
2524 


3698 
4i33 
4568 
5oo3 
5438 

5872 
63o7 
6742 
7176 
761 1 

8045 
848o 
8014 
9349 
9783 


4642 

5078 
55i4 
5950 
6385 
6821 

7256 
7692 
8128 
8563 
8998 

9434 
9869 
o3o4 
0740 
1175 

i6ro 
2045 
2480 
2915 


4257 

46o4 
5i3i 
5567 
6004 

644i 
6878 

73i4 

775i 
8187 

8624 
9060 
9496 
9933 
0369 

o8o5 
1 241 
1678 

2Il4 

255o 

2986 
3422 
3858 
4294 
4729 

5i65 
56oi 
6o37 
6472 
6908 

7344 

777? 
8215 

865o 

9086 

9521 
9956 
0391 
0827 
1262 

1697 
21 32 
2567 


29593002 


3263  33o7  335o  339413437 


3742 

4177 
46ii 

5o46 
548 1 

5ot6 
635o 
6785 
7220 
7654 

8089 
8523 
8958 
9392 
9826 


3785 
4220 
4655 
5090 
5524 


3829I3872 
4264,4307 
4698'4742 
5i33  5i77 
5568l56ii 


5959  6oo3  6o46 
6394|6437l648i 


Num. 


6828 
7263 
7698 

8x32 
8567 
9001 
9435 
9870 


6915 
73  5o 
7785 


1234         5678 


6872 
7307 
774 1 

8 1 76^82 1 9 
86108653 
90449088 
9479  9522 
99^39957 

9 


Diff. 


Diff.  k.  Malt 


I 

44 

3 

88 

3 

l32 

4 

176 

5 

220 

6 

264 

7 

3o8 

6 

35a 

9 

396 

DiflT. 


I 
2 
3 
4 

5 
6 

7 
8 

9 


43 

86 

129 

172 

2l5 

258 
3oi 

344 
387 


I 


Diff.  k.  MuH. 


20 


ill 


\ 


I 


TABLE 


LOGARITHMIC 


SINES,  TANGENTS.  &c 


LOOABITHMIC     SINES,    TANGENTS,    &C. 


!i 


1^ 


o 
60 

iBo 

3oo 


3f)0' 
4m 
480 
540 
600 
660 


730 
780 
84o 

900 

loao 

1080 
i4o 
1200 
1360 
ilao 
i38o 


00 


o 
I 
a 
3 
4 
_5 

6 

7 
8 

9 

o 

I 


mn. 


t44o 
i5oo 
i56o 
1620 
1680 
1740 

1800 
i860 
I920 
1980 
3o4o 

3IOO 

ai6o 
aaao 
aa8o 
a34o 
a4oo 
a46() 


»5»o 
a58o 
364o 
•700 
5760 
aSao 

alio 
a94o 
3ocx> 

3o6o 

3l20 

3i&o 


3a4o 
33oo 
336o 
3420 
3480 
354o 


20 
at 

22 

a3 


24 

25 

26 

27 
28 

?? 

3o 
3i 

32 

33 

34 
3^ 

36 
37 
38 
39 
4o 
4i 

42 
43 
44 
45 
46 

47 

48 
49 

5o 

5i 

52 

53 


inf.  neg. 
6-463  7201 
6.764  756i 
6.9408473 

7.065  7860 
7.1636960 


7.241  8771 
7.308  8239 
7-366  81 57 
7.417  9681 
7-463  7255 
7.5o5  1181 


7.542  9065 
7-577  6684 
7.609  853o 
7.6398160 
67.6678445 
77-694  1733 

8 


q-n 


■i.ms 


5749(5749 


574y 

574b 
5748 
5748 
5747 


5746 
5746 
5745 
5744 
5743 
574 1 


5740 
5738 
5737 
5735 
5733 
573. 


7.7'8  9966 

9  7.742  4775 
7-7^4  7537 
7.785  9427 
7.806  1 458 


5749 
5749 

5756 
5751 
575a 


tan. 


inf.  neg. 
6.463  7261 
6.764756a 

6.940  8475 
7.065  7863 
7.1626964 

7.a4i  8778 
5755  7.3o8  8a48 
575717.366  8169 
57597.4179696 

5761  7.4637373 
5763i7.5o5  i2o3 


5753 


1790 


eoL 


inf.  DOS. 
13.5302739 
i3.a35a438 
13.059  '525 
12.9342137 
ia.837  3o36 


5769 

5773 
5776 
5780 
5784 

5729*5788 


57667.5429091 
7.5776715 
7.6098566 
7.6398301 
7.667  8495 
7.694  1786 


5727 

5724 

5722 


5793 
5798 
58o3 


57195808 


7.7190026 
7.7424841 
7.7647610  12.235  2390 


7.825  45o7[57i6.58i3 

7.843  ^^MSjtiWig 
7.861  6623  57IO  5835 


7.87869535707 
7.89508545704 
7.9108793  5701 
7.926  1190 


7.9408419 
7.9550819 
7.968  8698 
7.982  a334 
7.995  1980 
8.007  7867 


8.020  0207 
8.o3i  9195 
8.043  3009 
8.0547814 
8.065  7763 
8.076  4997 


8.0869646 
8.097  i832 
8.107  1669 
8. 1 16  9262 
8. 1 26  4710 
8.i35  8io4 
8.1449532 
8.1539075 
8.1626808 
8. 171  2804 
8.1797129 
8.1879848 


54,8.196  1020 
55,8.204  0703 
56  8.21  r  8949 
5718.319  58i  I 
58.8.237  t335 
59  8.234  5568 
6o,8.a4i  8553 


CO*. 


583 1 
5838 
5845 
5853 

585^ 
5866 

5874 
588a 
5890 
5899 


7.785  gSoi? 
7.806  1 54? 
7.835  46o4 

7.843  9444 
7.861  6738 
7.878  7077 
7.895  0988 
7.9108938 
7.936  1344 


5907 
5916 
5936 
5656  5935 
565i  "  ' 
5646 


564 1 
5635 
563o 
5625 
5619 
56i3 


5965 
5975 
5986 
599-' 
6008 
6019 


56o8 
56o2 
5596 
5589 
5583 
5577 


5570 
5563 
5557 
555o 


5945 
5955 


6o3i 
6043 
6o55 
6067 
6080 
6093 


6106 
6119 
61 33 
6147 


5543  6161 
55356175 
5528I6190 


4.685 


§Qo 


JLI. 


7.940  8584 
7.955  0996 
7.9688886 
7.983  a534 
7.995  3193 
8.007  8093 

8.030  0445 
8.o3i  9446 
8.043  5374 
8.054  8094 
8.o65  8o57 
8.076  53o6 


12.758  1222 
12.601  1752 
12.633  1 83 1 
12,582  o3o4 
12.5362727 
12.4948797 


12,4570909 
ia.422  3a85 
12.390  1434 
i2.3oo  1790 
13.333  i5o8 
i3.3o583i4 

13.3809974 
13.257  5 1 59 


12.2140493 
12.1938453 
12.174  5396 


q-fn 


15.314 


425i 
425i 
425i 
435o 
4349 
4248 


4247 
4245 
4243 

4241 
4239 
4237 


4234 
433 1 

4237 
4234 
4230 
4216 


4a5i 
435i 
4353 
4a53 
4a5a 
4353 


4254 
4254 
4255 
4256 

4257 
4259 


i2.i56o556 
12.138  3263 

13.131  3933 
13  104901a 
12.089  "^^ 

1 2.073  8656 


4t8i 
4i75 
416914293 


416:; 
4i55 
4i48 


8.086  9970 
8.097  2173 
8.107  203  5 
8.1169634 
8,126  5099 
8.135  85io 

8,1449956 
8,1539516 
8.16a  7267 
8. 171  3283 
8,1797626 
8,188  o364 


8-21 1  9536 
8.3196408 
8.327  1953 
8.a34  6ao8 
8.34i  9a 1 5 


eou 


ia.o59  '4i6 
13.0449004 
i3.o3i  1114 
ia.0177466 
13.0047808 
11.993  1908 

1 1.9799555 
11. 9680554 
1 1 .956  4736 
11.945  1906 
11.934  1943 
11.9234694 


4213 
4207 
4303 

4197 
4193 

4187 


11.913  oo3o 
11.9037838 
1 1 .892  7975 
11.883  o366 
1 1.873  4901 
11.864  1490 


1 .855  0044 
1 1.846  0484 
r  1.837  3733 
11.8386718 
1 1 .830  3374 
11.811  9636 


8.u;6  1 556  ii.8o3  8444 
8.3o4  1359  11.7958741 


11-7880474 
1 1 .780  3592 

11.7738047 
1 1 .765  3793 
11.7580785 


4i4i 
4i34 
4126 
4ii8 

4iio 
4iot 

4093 
4084 
4074 
4o65 
4o55 
4045 


4260 
4263 
4263 
4265 
4267 
4269 


4271 
4273 
4276 
4278 
4281 
4284 

4^ 
4290 


OOMC. 


inf.  pos. 
1 3.536  3739 
1 3.335  3439 
13.0591 537 
ia.o34ai4o 
1 2.837  3o4o 


ia.758  1339 
ia.6oi  1761 
ia.633  1843 
ia.58ao3io 
13.5362745 
12.4948819 


12.4570035 

13.423  33 16 

i3.3qo  1470 

i3.36o  i84o 

12.332  i555 

2.3o5  8267 


4296 
4299 
43o3 


43o6 
43io 

43i4 
43i8 

4322 

4326 


4o35 
4o25 
4oi4 
4oo3 
3993 
3981 


3969 
3957 
3945 
3933 
3920 
3907 


taa. 


3894 
388 1 
3867 
3853 
3839 
3825 
38io 


433 1 
4335 
4340 
4344 
4349 
4354 


4359 
4365 
4370 
4375 
438 1 
4387 


12.281  oo34 
12.357  5225 
12.235  2463 

1 3.3 140573 

13.1938543 
12.1745493 


12.1 56  0662 
12.1 38  3377 

13.131  3o47 

13.1049146 
12.080  1307 
I3.07J88IO 


12.059  i58i 
12.044  9181 
i3.o3i  i3oa 
13.0177666 
1 3.004  8030 
n.992  2i33 


1 1 .970  9793 
11.9680805 
11.9564991 
11.945  2186 
11.934  2237 
1 1 .923  5oo3 


4393 
4398 
4404 
44ii 
44n 
4423 


443o 

4437 
4443 
445o 
4457 
4465 

4472 


15.314 


J+J 


ii.9i3o354 
11.902  8168 
1 1.802  833 1 
1 1 .883  0738 
1 1 .873  5290 
11.864  1896 


11.855  0468 
1 1 .846  0925 
11.837  3192 
11.828  7196 
11.830  3871 
11.813  Ol52 


11.8038980 
11.7959297 
11.788  io5i 
11.7804189 
1 1 .772  8665 
11.7654432 
11.758  1447 


MC. 


aec.  I  CM. 


lO.dOOl  9.999 

0000 

0000 

0001 

0003 

ooo3 
ooo5 


0007 
0009 
0012 
ooi5 
0018 
ooaa 


0026 
oo3i 
oo36 
oo4i 
0047 
oo53 


ten 
ten 

9999 
9998 

9997 
9995 


60I 
5 


57 
561 

55 

54 
53 

\52 

5i 

5o 

49 
9974  48 
996947 


9993 

9985 
9982 

9978 


:? 


0060 
0066 
0073 
0081 
0089 

oo97J99f)3 


9964 

9947 

9940 
9934 
9927 
9919 
991 


46 
45 
44 

43 


01069894 
01159885 


0124 
oi34 
oi44 
01 55 


9876 
9866 
9856 
9845 


oi65 
0177 
0188 
0200 
0212 
0225 


02  38 
0252 
0265 
0279 


9835 
9833 
9812 
9800 
9788 
9775 


9762 
9748 
9735 
9721 


42 
4i 
4o 

3 

h 

36 
35 

34 

33 

32 

3i 


3o 

2 

2 

27 
26 

25 


0394,9706 
03099691 


o324 
o34o 
o356 
0373 
0389 


9676 
9660 

9644 
9638 
9611 


04069594 


o433 
044 1 
0459 

0478 
0497 
o5i6 


9577 
9559 

9541 

032 

95o3 
9484 

o536|9464 
05569444 
0576^9434 
o597|94o3 
0618,9383 
06409360 
0663  9338 


10.000 


eosec  sin 


9.999 


24 
23 
22 
21 

30 

i? 

18 

n 
16 

i5 

14 

12 
11 
10 

9 
8 

_7 
6 
5 
4 
3 
2 
I 


^,nT^M^W>ic 


LOaARITHMIC     SINES,    TANGENTS,     &C. 


157 


n 


36oo 
366o 
3720 
3780 
384o 
3900 


3960 
4020 
4080 
4i4o 
4200 
4260 


10 


4320 
438o 
4440 
45oo 
456o 
4620 


4680 
4740 
4800 
4860 
4920 
4980 

5o4o 
5 100 
5i6o 
5220 
5280 
5340 

54<x) 
5460 
5520 
558o 
564o 
5700 


o 
1 
2 
3 
4 
_5 

6 

7 
8 

9 
10 

II 


sin. 


1780 


8.241  8553 
8.2490332 
8.2560943 
8.2630424 
8.2698810 
8.2766136 


12 
i3 

14 
i5 
16 

17 


8.283  2434 
8.389  7734 
8.296  2067 
8.3o2  5460 
8.3o8  7941 
8.3 14  9536 

8.321  0269 
8.327  016J 
8.332  9243 
8.338  7529 
8.344  5o43 
8.35o  i8o5 


5760 
5820 
588o 
5940 
6000 
6060 

6120 
6180 
6240 
63oo 
636o 
6420 

6480 
654o 
6600 
6660 
6720 
6780 

6840 
6900 
6960 
7020 
7080 
7i4o 
7300 


16 
»9 

30 
21 
32 
23 

25 

26 

27 
28 

2^ 

3o 
3i 

33 

33 
34 
35 

36 

37 
38 

39 
4o 

4i 

42 
43 
44 
45 
46 

48 
5i 

53 

53 

54 
55 

56 

57 
58 


q-n 


4.685 


5528 
5521 
55i3 

55o6 

5498 
5490 


8.355  7835 
8.36 1  3i5o 
8.366  7769 
8.372  1710 
8.377  4988 
8.382  7620 

8.3879622 
8.393  1008 
8.398  1793 
8.4o3  1990 
8.408  16 1 4 
8.4130676 


5482 

5474 
5465 

5457 


543 1 
5422 
54i3 
54o4 
5395 
5386 


6190 
6205 
6220 
6235 
6250 
6266 


tan. 


6282 
6299 
63i5 
6332 


54496349 
5440 


6366 


8.417  9190 
8.422  7168 
8.4274621 
8.432  i56i 
8,436  7999 
8,44  r  3944 

8.445  9409 
8.450  4402 
8.454  8934 
8.4593013 
8,463  6649 
8.467  9850 


5376 
5366 
5357 

5347 
5337 
5327 

53i^ 
53o6 
5296 
5285 
5274 
5264 

5^ 
5241 
523o 
5219 
5207 
5196 


6384 
6402 
6420 
6438 
6456 
6475 


8.24i  9215 
8.249  *o'5 
8.256  1649 
8.263  n  53 
8.2699563 
8.2766912 

8.283  3234 
8.2898559 
8.296  2917 
8,3o2  6335 
8.3o8  8842 
8,3i5o462 


cot. 


8.321  1221 
8.327  1143 
8,333  0249 
8.338  8563 
8.3446105 
8.35o  2895 


6494 
65i3 
6533 
6552 

6573 

6593 

66T3;8.388o9i8 
6634I8.393  2336 
6655|8.398  3i52 
6676  8.4o3  338 1 


8.355  8953 
8.36i  4297 
8,366  8945 
8.372  2915 
8,3776223 
8.382  8886 


11.7580785 
11.7508985 
1 1.743  835 1 
11.736  8847 
1 1 .730  0437 
11.7233088 


q  +  n 


15.314 


11.7166766 

11.710  i44i 
11.703  7083 
1 1 .697  3665 
11.691  1 1 58 
11.684  9538 


1 1 .678  8779 
11.6728857 
11.6669751 
11.661  1437 
11.6553895 
11.6497105 


38io 
37Q5 
3780 
3765 

3750 


3734  45 10 


3718 
3701 
3685 
3668 
365 1 
3634 


11.644  1047 
1 1.638  5703 
11.633  io55 
1 1 -627  7085 
11.622  3777 
ii.6r7  iii4 


36i6 
3598 
358o 
3563 

3544 
3535 


35o6 
3487 
3467 
3448 
3428 
3407 


4472 

4479 
4487 
4494 
45o2 


45i8 
4526 
4535 
4543 
455 1 
456o 


4569 
4578 
4587 
4596 
46o5 
46i4 


ccwec. 


11.758  l447 
1 1 .750  9668 
11.7439057 
11.736  9576 
11.730  1190 
11.7233864 


aec. 


10.000 


11.7167566 
11.710  2266 
1 1 .703  7933 
11.6974540 

ii.6qi  2059 
ii.685o464 


0662 

0684 
I  0706 
0729 
0753 
0776 

0800 
0825 
o85o 
0875 
0900 
0926 


con. 


4624 

4634 


11.6789731 
11.6729837 
1 1 .667  0757 
11.661  2471 
1 1 ,655  4957 
11.6498195 


11.644  2i65 
II.638  6850 


4643! n. 633  223 1 


6697 
6719 


8.472  2626 
8,476  4984 
8,4806932 
8.484  8479 
8.488  9632 
8.493  0398 


8.497  0784 
8.5oi  0798 
8.5o5  0447 
8.5o8  9736 
8.5128673 
8.5167264 


5i84 
5172 
5i6o 
5i48 
5i36 
5i24 


5iii 
5099 
5o86 
5073 
5o6o 
5o47 


8,520  55i4 
8,524  3430 
8,528  10T7 
8,53i  8281 
8.-535  5228 
8,539  T863 
8.5428192 


5o34 
5p2i 
5oo8 

4994 
4980 
4967 


6741 
6763 
6786 
6808 
683  T 
6854 

6878 
6901 
6925 
6949 
6974 
6998 


8.408  3o37 
8.4i3  2i32 


8.4180679 
8,422  8690 
8,4276176 
8.432  3 1 5o 
8.4369623 
8.441  56o3 


11.61 1  9083 1 3  387 
11.60676643366 
ii.6oi6848  3345 
11.59666193334 
1 1 -59 1  6963  33o3 
11.58678683281 


7023 
7048 
7074 
7099 
7125 
7i5i 


4953 

4939 
4924 
4910 
4896 
4881 
4867 


COS. 


7178 

7204 

723i 

7258 
7286 
73r3 


8.446  11  o3 
8.450  6i3i 
8.455  0699 
8.4594814 
8.463  8486 
8.468  1725 


8.472  4538 
8.4766933 
8.480  8920 
8.485  o5o5 
8.480  1696 
8. 49 J  25o2 


ii.58i  9321 
11.577  i3io 
11.572  3824 
11.5676850 
1 1 .563  0378 
11.5584397 


11.5538897 
11.5493869 
11.5449301 
ii.54o5i86 
11,536  i5i4 
ii.53i  8275 


3259 
3237 


4653 
4663 
4673 


4683 
4694 

4704 
47^5 
4726 
4736 


11.6278290 
11.622  5oi3 
11.617  238o 


9.999 

9338 
93i6 
9294 
9271 

9247 
9224 

9200 
9175 
91 5o 
9125 
9100 
9074 


I 


0979 
1006 
io34 
1061 


4747 
4759 
32 1 414770 
3192  4781 
31694793 


11.612  0378 
1 1 .606  8992 
11.601  8207 
11.5968010 
1 1. 591  8386 
11,5869324 


1118 

1147 
1176 
1206 
1236 
1266 


60I 
5 

57 
56 
55 

54 
53 

52 

5i 

5o 

49 


0953  9047 

0031 
8994 
8966 
8939 
10898911 

888i 


1297 
i328 
1359 
1391 
1423 
1 456 


8853 
8824 
8794 
8764 
8734 


8703 
8672 
864 1 
8609 

«577 
8544 


3i46 


7341 
7369 

7397 
7426 
7455 
7484 
75i3 


8.497  2938 
8.5oi  2982 
8.5o5  2671 
8,5092001 
8.5 1 3  0978 
8.5169610 


11.527  5462 
11.523  3067 
1 1. 519  1080 
1 1.5 1 4  9495 
ii.5io83o4 
11.5067498 


8.520  7902 
8.524  586o 
8.528  3490 
8.532  0797 
8.535  7787 
8.539  4466 
8.543  o838 


4.685 


m^ 


q-n 


cot. 


ii.5o2  7072 
11.4987018 
11.4947329 
1 1 .460  7999 
11.4869022 
1 1 .483  0390 


3l23 

3099 

3o75 

3o5 

3026 

3oo 


1 1 .479  2098 
11.4754140 
11.471  65io 
r  1 .467  9203 
11.464  22 1 3 
1 1 .460  5534 
11.4569162 


tan. 


2977 
2953 
2926 
2901 
2875 
2849 

2822 
2796 
2769 
2743 
2714 
2687 


48o4 


4816 
4828 
484o 
4852 
4864 
4876 


2659 
263 1 
36o3 
2574 
2545 

25l 


4889 
4901 
4914 
4927 
4940 
4953 

4966 

4979 
4992 

5oo6 

5020 

5o33 

5^ 
5o6i 
5076 
5090 


11.582  0810 
11.577  2832 
11.572  5379 
11.5678439 
11.563  2001 
ii.558  6o56 


11.5540591 
11.5495598 
11.545  1066 
11.5406987 
II.536  335I 
11.532  01 5o 


11.5277374 
11.523  5oi6 
11.5193068 
ii.5i5  i52i 
ii.5ii  o368 
11.5069602 


1 488 

l522 

i555 
1589 
1624 
i658 

1694 
1729 
1765 
1801 
1 838 
1875 


[i-5o2  9216 
11.498  9302 

11.4949553 

1 1 .491  0264 
11.487  1 327 
11.483  2736 


1912 
1950 

1988 
2026 
2o65 
2104 


85i2 
8478 
8445 
8411 
8376 
8343 


48 

47 

46 
45 

44 
43 

42 

4i 

4o 

3 

3, 

37 

36 

35 

34 
33 

32 

3i 


3o 
29 
28 

27 
26 

25 


83o6 
8271 
8235 
8199 
8163 
8125 


8088 
8o5o 
8012 
7974 
7935 
7896 


11.4794486 
1 1 .475  6570 
11.471  8983 
11.468  1719 
,^  5io4Ji  1.464  4772 
6|5ii9!ii.46o8i37 


2144 
2 1 83 
2224 
2264 
23o5 
2347 


7856 

7817 
7776 
7736 
7695 
7653 


2388 
243o 
2473 


7612 

7570 
7527 


24 

23 
22 
21 

20 

18 

'7 
16 

i5 

14 
i3 

12 
II 
10 


35167484 
3559  744 1 


3487I5133 


15.314 


q  +  n 


11.457  1808 


»ec. 


3602 
2646 


10  000 


cosec.  Rin 


7398 
73541 


9.999 


880 


I 


f! 


.  t| 


i 


N 


158 


LOGAmiTHMIC    8IHBS,   TANGENTS,    &C. 


0« 


179< 


inf.  oeg 
l€  5.66S  §749 
SO  5.966  6049 
3o  6.163  6  " 
4o  987  6 
So    3845449 

64637^61 
53o  67a 


1' 

10 
30 

3o 
40 

5o 


5*86^51??^: 


diCl" 


iDfin. 
3oio3o. 
176001. 

124939- 
96910.0 

181.3 

8 


79101 
66946 


8174 
685  5748 
7269675 
2'  6.7647561 
10  7095183 
20  8Ji  7029 
3o  861  6661 
4o  8806948 
5o  9160337 
3'  6.9408473 
10  964  3284 
20  6.986  6o48 

307.0077941 
4o  027  9975 
5o  o47  3026 
4'  7.0657860 
10  o83  5 1 48 

30   100  5481 

3o  1169385 
4o  1327328 
5o  1479727 
5'  7.1626960 
10    1769^64 

20   190724? 

3o  2040886 
4o  3170536 
5o  3296427 
6'  7.241  8771 
10  353  7764 
30  265  3582 
3o  276  6393 
40  287  6346 
5o  298  3584 
7'  7.3088339 
10  3190430 
ao  3290272 
3o  3387870 
4o  348  3323 
5o  357  6723 
8'  7.366  8 1 57 
10  375  7705 
30  384  5444 
3o  393  1 446 
4o  4oi  5778 
5o  409  85o3i 
W  7.417  9681 
10  435  9370 
20  433  7624 
3o  44i  4492 
4o  449  0023 
5o  4564263 
10'  7-463  7255 


eo-Mc. 


inf.  poi. 
i4.3i4435i 
i4-oi3  395i 


13.83730396.162 


712  3651 
61 5  455 1 


taaf. 


inf.  neg. 

5.685  5749 

5.9866049 


287 
3845449 


e<Ktiii. 


45757-4 
41392.7 
37788.6 
34762.1 
32184.7 
29963.2 
28028.7 
26328.9 
24823.6 
23481.1 
33376.4 
21 189.3 

3020J.4 

93o5. 1 

b483.4 

772H.8 

7033.3 

63/J.4 

5794.3 

5330.9 

4"'2S.3 

4240.4 

3788.3 

3363-9 

2965.0 

2589. 

2234.4 

1899.3 

i58i.8 

1281.0 

0995.4 

0733.8 

o465.5 

0219.1 

9984.3 

9759.8 

954D-3 

9340.0 

9143.4 

8954.8 

8773.9 

8600.2 

8433.2 

8373.5 

8117.8 

7068.9 

7825.4 

7686.8 

7553.1 

7434.0 

7399.3 

4iff.  I" 


13.536  2739  6463  7261 
4693271  5306729 
4ii3352  5886649 
3601826  6398174 
3i4  4252  685  5749 
273o325  7269670 

13.23524306.7647562 
2004818  7995183 
1682071 
1 38  3339 
iio3o53 


did' 


eo-Uiif. 


infin. 
3oio3o. 
176001. 

l3969io.o 

l8l.3 


8 


83 1  7o3o 
8616663 
8896949 
0839763    9160339 
1 3.059  153716.9408475 


0356716 
13.0133953 


9643386 
6.9866050 


1 3.993  3059  7.007  7943 


973  002D 
9626974 

12.934  2i4o 
916  4852 

8994519 
883  06 1 5 
867  2673 
853  0373 


037  0977 

047  JOSO 

7.065  7863 
o83  5i5i 
100  5484 
1169389 
i32  7332 
1 47  9733 
13.837  3o4o|7. 1 63  6064 


823o636 
809  3753 
795  9114 
782  o464 
770  3573 
13-758  1229 
746  2336 

734  64 1 8 
7233608 
712  3654 
701  64 1 6 

12.691  1761 
680  9570 
6709728 
661  2i3o 
65 1  6677 
642  3277 

12.633  1843 
634  2295 
6i54556 
6068554 
598  4223 
590  1497 


1769J69 

1907253 
3040893 
3170542 
2296433 

7.241  8778 
2537771 
365  3590 
2766400 
287  6354 
398  3593 

7.308  8348 
3190440 
329038a 
3387881 
348  3334 
3576735 


79181. 

66946. 

57993.0 

5ii53.5 

45757.5 

41393.7 

37788.6 

34763 

33184.7 

39963.3 

28028.7 

26329.0 

24823.6 

33481.1 

33376.4 
31189.3 

303oi.4 
9305.3 

8483.4 
7728.8 
7o33.3 
6390.5 
5794.3 
5240.0 
4733.3 
4340.5 
3788.3 
3364-0 
3965.0 
3589.1 
3334.5 

:^: 


■ee. 


10 


7.3668169 
375  7718 
384  5457 
393  1459 
401  5791 
4098517 


13.582  o3i9  7.417  9696 


574  o63o 
5662376 
558  55o8 
5509977 
543  5737 
1 2.536  2745 

■ec. 


4259386 
433  7640 
44 1  45o8 
449  oo4o 
4564281 
7^163  7373 

co-Ung. 


1 38 1 .0 
09954 
0733.9 

0465.5 
0319.3 

99»4 

9759.0 

9545.3 

9340. 1 

0143.4 

8954.9 

8773.9 

8600.2 

8433 

8273.6 

8117.9 

7969.0 

7835.4 
7686.8 
7553.3 

7434.1 
7299.2 

diir.  I" 


10 


10 


10 


inf  pof.  10 

i4.3i44a5i 

14.0133951 

1 3.837  3o39 
712  3651 
6i5  455i 

13.5362739 
4693271 
41 1  335i 
36o  1826 
3i4435i 
273  o324 

1 3.235  2438 
2004817 
168  2970 
138  3338 
iio3o5i 
0839761 

1 3.059  1 52  5 
0356714 

i3.oi3  395o 

I  a. 992  3o57 
9720033 
953  6971 

12.934  3 1 37 
016  4849 
8994516 
883  0611 
8673668 
853  0368 

ia.837  3o3^io 
833o63i 
809  2748 
7959108 
7620458 
7703567 

12.758  1222 
7462229 
7346410 
723  36oo 
713  3646 
701  6407 

ia.691  175? 
6809560 
6709718 
661  3119 
65i6666 
64a  3365 

13.633  i83i 
634  2283 
6154543 
6068541 
598  4309 
590  i483 

12.58a  o3o4 
5740614 
566  a36o 
558  5493 
5509900 
543  57 1 9 

13.5363737  10 

t»ng. 


e»-iin. 


10 


10 


10 


10 


.0000000 
0000 

OCKX) 

0000 

0000 
0000 

,0000000 
0000 
0000 
0000 
0001 
0001 

.0000001 
0001 
0001 
0001 
0001 
0001 

.0000003 

0003 
0003 
0003 

oooa 
ooo3 

.oooooo3 
ooo3 
ooo3 
ooo4 
ooo4 
0004 

ooooooS 
ooo5 
ooo5 
0006 
0006 
0006 

,0000007 
0007 
0007 
0008 
0008 
0009 

.0000009 
0009 
0010 
0010 
0011 
001 1 

.000001 3 
0013 
OOl3 

ooi3 
ooi4 
ooi4 

.0000015 
001 5 
0016 
0017 
0017 
0018 

.0000018 

co-flee. 


ten 
ten 
ten 
ten 
ten 
ten 
ten 
ten 
ten 
ten 
9.9999999 

9999 
99999999 

9999 

9999 

9999 

9999 

9999 

9-999999^ 

999^ 
999fc 

9998 

9998 

9997 
9.9999997 

9997 

9997 
9996 

9996 

999<^ 
9.9999995 

9995 
9995 
9994 
9994 
9994 
9.9999993  54' 
9993 
9993 
9992 

999= 
9991 

9.9999991 

9991 

999d 


160' 
5o 

40 
3o 
20 
10 
59' 
5o 
4o 
3o 
ao 
10 
58 
5o 
4o 
3o 
30 
10 
57' 
5o 
4o 
3o 

30 
lU 

56 

5o 
40 
3o 

2C 

10 


9900  3o 

9989  30 

9989  10 
9.9999986  52' 

9988 

9987 

9987 

9986 

9986 
9-9999965151 

9983 

.     9982 
9.9999983 


fin. 


do' 
5o 
40 
3o 
30 
ic 


5t. 
4o 
3c 
20 
i( 
153 
5o 
4c 


5c 
4c 
3( 

3v 
It 


5< 
4c 
3< 
9( 
rf 
SO' 


000 


690 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


159 


00 


1790 


10' 
10 
20 
3o 
40 
5o 
11' 
10 
20 
3o 
40 
5o 
12' 
10 
20 
3o 
40 
5o 
13' 
10 
ao 
3o 
40 
5o 
14 
10 
20 
3o 
4o 
5o 
15' 
10 
20 
3o 
4o 
5o 
16 
10 
20 
3o 
4o 
5o 
17 
10 
20 
3o 
io 
5o 
18 
10 
20 
3o 
40 
5o 
19' 
10 

30 

3o 

4o 

5o 

180' 


■in. 


7-463  7255 
470  9041 
477  9659 
4849147 
491  7541 
498  4875 

7.5o5  iidi 
5116489 
5i8o83o 
5344231 
5306721 
536  8334 

7.543  9065 
548  8968 
554  8067 
56o  6352 
566  3875 
573  o646 

7.577  6684 
583  2009 
588  6638 
5940588 
599  3876 
6o465i8 

7.609  853o 
6149926 
6300731 
635  0938 
63o  o563 
634  o635 

7.6398160 

6446149 
649  36 1 3 

654  o563 
6587012 
663  3969 
7.667  8445 
673  345o 

676  7993 
681  2084 
685  5732 
689  8945 
7.694  1733 
6984103 

7026064 
7067623 
7108788 
7149567 

7.7189966 
722  9993 
7269655 
73o  8957 
7347908 
7386511 

7.742  4775 
746  3705 
75o  o3o6 
753  7584 
7574545 
761  1194 

7-764  7537 


eo-fin. 


diff.l" 


7178-6 
7061.8 
6948.8 
6839.4 
6733.4 
6630.6 
6530.8 
6434.1 
634o.  I 
6249.0 
6160.3 
6074. 1 
5990.3 
5908.0 
5829.5 
5752.3 
5677.1 
56o3.8 
5533.5 
5463.9 
5395.0 
5338.8 
5364.3 

530I.3 
5139.6 
5079.5 
5020.7 
4963.4 
4907.3 

4853-5 
4798.9 
4746.4 
4695.0 
4644-9 
4595.7 
4547.6 
4500.5 
4454.3 
4409.1 
4364.8 
4331.3 
4378.8 
4337.0 
4ig6.i 
4155.9 
4116.5 

4077.9 
4039.9 
4003.7 
3966.3 
3930.2 
3895.1 
3860.3 
3836-4 
3793.0 
3760.1 
3737.8 
3696.1 
36649 
3634.3 


diff.  r 


CtKvGC* 


3745 


■ee. 


tang. 


7.463  7373 
4709060 

477  9679 
4849168 
491  7562 
4984897 

7.5o5  i2o3 
5ii  65x2 
5i8o854 
524  4356 
5306746 
536  8349 

7.543  9091 
548  8995 
554  8084 
56o638o 
566  3904 
572  0676 
.5776715 
583  2o4i 
588  6670 
5940621 
599  39x0 
604  6553 

7.609  8566 
6149963 
620  0758 
6250967 
63oo6o2 
634  9676 

7.6398301 
6446191 
649  3656 
654  0608 
658  7057 
663  3oi5 

7.667  8492 
673  3498 
6768043 
681  3i34 
685  5783 
6898997 

7.694  1786 
6984157 
7036119 

7067679 
7108846 

7149635 

7.7190026 

733  oo54 

7269717 
73o  9030 

734  7972 
738  6577 

7.743  484i 
746  2772 
75o  o374 
753  7654 
757  4616 
761  1266 

7.764  7610 


eo4ang. 


diffll' 


7178.7 
7061.9 
6948.9 
6839.4 
6733.5 
663o.6 
6530.9 
6434.2 
6340.3 
6349.0 
6160.3 
6074.3 
5990.4 
5908.9 
5829.6 
5752.4 
5677.3 
56o3.9 
5533.6 
5463.9 
5395.1 
5338.9 
5364.3 
5201. 3 
5139.7 
5079.5 
5030.9 
4963.5 
4907.4 
4853.5 

47990 
4746.5 

4695.3 

4644-9 
4595-8 

4547-7 
45oo.6 

4454.4 
4409.3 
4364-9 
4321-4 
4378.9 
4237.1 
4196.3 
4i56.o 
4ri6.7 
4077.9 
4o4o-i 
4003.8 
3966.3 
3930.3 
3895.2 
3860.5 
3836.4 
3793.1 
3760.3 
3728.0 
3696.3 
3665 .0 
3634-4 


diffll' 


co-taof. 


12.536  2727 
5290940 

523  0J3I 

5i5o833 
5o8  3438 
5oi  5io3 

13.4948797 
488  3488 
481  9146 
475  5744 
469  3354 
463  i65i 

13.4570909 

45 1  I003 
445  I916 

439  3630 
4336096 
437  9334 

ia.433  3385 
4i6  7059 
4i  I  333o 
4o5  9379 
4006090 
395  3447 

i3.3oo  1434 
385  oo37 
379  9343 
374  9033 
3699398 
365  o334 

ia.36o  1799 
355  3809 
35o  6344 

345  9393 
341  3943 
3366o85 

13.333  i5o8 
337  65o2 
333  1958 
3187866 
3144317 
3io ioo3 

i3.3o5  83i4 
3oi  5843 
397  388 1 

393  3331 

389  II 54 
385  0375 

13.3809974 
3769946 
373  0383 
3690980 
365  2028 
261  3423 

12.2575159 
253  7338 
249  9636 

346  3346 
343  5384 
238  8734 

13.335  3390 


tang. 


■ec 


10.0000018 
0019 
0030 
0030 
003I 
0033 

10.0000033 

ooa3 
0034 
0034 

0035 

0036 

10.0000036 
0037 
0038 
0039 
0039 
oo3o 

io.ooooo3i 
oo33 
oo33 
oo33 
oo34 
oo35 

io.ooooo36 
oo37 
oo38 
0039 
0040 
oo4o 

io.ooooo4i 
0043 
0043 

0044 
0045 
0046 

10.0000047 
oo48 
0049 
oo5o 
oo5i 
oo53 

io.ooooo53 
oo54 
oo55 
oo56 
oo57 
oo58 

10.0000060 
0061 
0063 
oo63 
0064 
oo65 

10.0000066 
0067 
0069 
0070 
0071 
0073 

10.0000073 


eo-«ee. 


eo-nii. 


9.9999983  50' 
9981  5o 

9980  4o 
9980  3o 

9979  20 
9978  10 

99999978  49' 
9977  5o 
9976  4o 
9976  3o 
9975  20 
9974  10 

9.9999974  18' 
9973  5o 
9972  40 
9971  3q 
9971  20 
9970  10 

9-999996947' 
9968  5o 
9967  40 
9967  3o 
9966  30 
9965  10 

9-9999964  46 
9963  5o 
9962  4o 
9961  3o 
9960  20 
9960  10 

9.999995945' 
9958  5o 
9957  4c 
9956  3o 
9955  ac 
9954  ic 

9.9999953  44' 
9952  5o 
9951  4c 
9950  3c 
9949  30 

9948  TC 

9.999994743' 

9946  5o 
9945  io 
9944  3o 
9943  30 
9943  10 

9-9999940  42' 
9939  5o 
9938  4o 
99^7  3o 
9936  20 
9935  10 

9.999993441 
9933  5o 
9931  4o 
9930  3o 
9930  30 
9938  10 

9.9999937  40' 


■in. 


90« 


890 


^J! 


- 1 


i\ 


160 


LOGAKITHMIC    8INBS,     TANGENTS,    <&  C . 


Oo 


m 

lO 
30 

3o 
4o 

5o 

HI' 

to 

30 

3o 
4o 

5& 


10 
30 

4ci 
5o 

lO 

ao 
3o 
40 
5o 

Hi' 
10 

30 

•So 

10 

30 

3o 
4o 
5o 
1% 
10 
ao 
3o 
4o 
5o 

m' 
10 

ao 
3o 
4o 
So 
183' 
10 
ao 

4o 

5o 

10 

30 

4o 
5o 


■in. 


7.7647537 
768  3577 
771  9322 
775  4774 
7789 
782  4tiaa 

7.785  9427 
7895758 
79a  7820 
796  1 61 7 
79951 53 
8oa  843a 

7.8061458 
8094235 
8126766 
8159055 
8191106 
8aa  2022 

7.825  4 
8a8  5864 
83i  6996 

834  7' 
8378 
8409074 

7^09338 
8469393 
849934 1 
852  8885 
855  8329 
858  7574 

7-861  6623 

8645479 

867  4i4§ 
870  2623 
873  0916 
8759025 

7Ji78  6953 
881  47o3 
884  2277 
8869677 
889  6905 
892  3963 

7.895  o854 
8977580 
9(X}4i4t 
9o3o542 
905  6783 
9082866 

7.9108793 
9134567 


9160189  :^fji-: 


9185660 
921  0983 


diff-l" 


36o4o 
3574.5 
3545.2 
35i6.5 
3488.3 
3460.5 
3433.1 
3406.2 
3379.7 
33516 
3327.9 
33oa.6 
3277.7 
3353.1 
3aa8.9 
3ao5.i 
3i8i.6 
3i58.5 
3i35.7 
3ii3.a 
3091.0 
3069.3 
3o47.6 
30264 
3oo5.5 
a984.8 

29644 
29444 

2924.5 
2904 

2885 
3866.6 

2847.8 
3839.3 
2810.9 
2792.8 
2775.0 
2757.4 
2740.0 
2722.8 
2705.8 
2689.1 
2673.6 
2656.1 
2640.1 
2634.  f 
2608.3 
2592.7 
2577.4 

2562 


2532.3 
2517.6 


93Le8>3^:t 

2446.7 


933  5428 

935  9895 

938  4224 

7.9408419 


CCMIIIl. 


eo-«ec. 


13 


2463  7 


12 


)573  7 


la 


la 


la 


12 


13. 


12. 


13 


13 


2432. 
3419 


diir.i" 


la 


a3i  642 
2280678 
aa4  53a6 
331  0061 
3175178 
ai4o! 
2106242 
ao7  3180 
3o3  8383 

300  4847 

97  1568 
93  8542 
905765 
87  3234 
840945 
808894 
777078 
7454 
71  4i 
68  3oo4 
65  2094 
63  i4o2 
590926 
560662 

530607 
SootSq 
47  Iii5 
44  1671 
4i  a4a6 

38  3377 
35  45a  1 
3a  5855 

397377 

269084 

240975 

21  3o47 

185297 

157723 

i3o323 

10  3095 

07  60  J  7 

049146 

02  2420 

0995859 

0969458 

0943217 

I  71 34 

1207 

5433 

083981! 

081  4340 

0789017 

076  384 1 

.073881 

071  3923 

0689177 

0664572 

o64oio5 

061  5776 

.0591581 


UUDf. 


.764  7610 
768  3652 
771  9398 
7754851 
7790018 
782  4902 
.785  oSoS 
7893841 
7927904 
796  1702 
799  5240 
80a  8520 

7.806  1 547 
8094325 
81a  6858 
8159148 
819 1201 
822  3oi8 

7.825  4604 
828  5962 
83 1  7096 
8348007 
837  8701 


84091793^^-5 
7.843  9444  t»^(f  c 


.996 
855  844o 
858  7687 

7.861  6738 
8645596 
8674263 
870  2743 
873  1037 
875  9147 

7.878  7077 


881  4829  ;77;^'^ 


8843404 

8869806 

889  7o36 

892  4006 

7.895  0988 

8977715 

905  6923 

9083008 

7.9108938 


diCl" 


36o4.3 

3574.6 
3545.3 
3516.7 
3488.4 
3460.6 
3433.3 
3406.3 
3379.8 
3353.8 
3328.0 
33<j2.7 
3277.8 
3253.3 
3aao.o 
3205.3 
3181.7 
3 1 58.6 
Jl  J3.8 
3i  i3.4 
3091. 1 
3069.4 
3o47.8 


eo4uig. 


la 


2944.4 
2924.7 
2905.1 
2685.8 
2866.7 
2848.0 
28294 
2811.0 
2793.0 
2775.3 


3740.2 
3723.0 
3706.0 
2689.9 
2672.7 
2656.4 


2624.3 
2608.5 
2593  o 

9»?47i3   S!l 


9i6o336r^;-^ 
9185809^^47.3 

9aiii34'^^'^ 


9236312 
017.926  1 344 


2517.8 

25o3.2 

928  6233  If^.i 
931 0981  ^474-8 

933  5588 

9360057 

938  4388 

7.9408584 


eo-tang. 


2460.7 
2446.9 

3433  1 
3419.6  J 


diff. 


.335  3390 
23|i6348 
228  0603 

aa4  5i49 
aao 


la 


13. 


la 


12 


13 


12 


13 


13 


2073 
303  8308 
3004760 

97  i48o 
93  8453 
005675 
87  3i43 
84o853 
8087 

77 
74 
7i4o38 
68  2904 
65  1993 
62  1299 
590831 
5oo556 
53o5oo 
5oo65o 
471004 
M  i56o 
4i  33i3 

38  3262 
354404 
33  5737 

39  7357 

3680 
240853 

31  3933 
18  5171 
157596 

i3oi^ 
102904 
07  5904 
049019 

02  3285 

0995721 
0969319 
094  3o77 
091  6992 
.089  1069 
0865287 
0839664 
081  4191 
0788866 
076  3688 
.073  8656 
071  3767 
0689019 
c6644i2 
0639943 
061  3612 
.059  i4 


tang. 


wc. 


10.0000073 
0075 
0076 
0077 
0078 
0080 

10.0000081 
0082 
0084 
oo85 
0086 
0088 

ioxxx>oo89 
0090 
0093 
0093 

0094 
0096 
10J0000097 
0099 
0100 

OIOI 

oio3 
0104 
io.0000106 
0107 
0109 
0110 

01 13 

Oil  3 
10.0000115 
0116 
01 18 
0119 
0121 
01 33 
10JO000124 
0126 
0127 
0129 
oi3i 

Ol32 
lO4XX>0l34 

01 36 

01 37 
0139 

oi4i 

0142 

10JO000144 

,  oi46 

0148 

0149 

oi5i 

01 53 

10.0000 1 55 

01 56 

01 58 

0160 

0162 

0164 

10.0000165 


1-J90 


oo.«ee. 


ctMin. 


9.9999927  40' 
9925  5o 
9924  4o 
9923  3o 
9922  20 

9920  JO 

9-99999' 9  39' 
991B  5o 
9916  40 
9915  3o 
9914  ao 
9912  10 

9-99999' '  38' 
9910  5o 
9908  4o 
9907  3o 

9906  20 
9904  10 

9.999990337 
9901  5o 
9900  4o 
9899  3o 
9897  30 
9896  10 

9.9999894  36' 
9893  5c 
9891  4g 
9890  3o 
9888  30 
9887  10 

9.9999885  35' 
9884  5g 
9882  4o 
9881  3t 
9879  20 

9877  ID 

9.9999876  34' 

9874  5o 
9873  4o 
9871  3o 
9869  20 
986.'  10 

9.999986^,  3:i' 
986;^  5o 
9663  4c 
9^61  3o 
9F5c  20 
985.^  10 

9^999985^  .3*2 
985-  5o 
965  4o 
9651  3t 
9849  20 
984-  10 

9.9999845  31 
9844  5o 
9842  4o 
9840  3o 
9838  20 
9836  10 

9.9999835  30' 


900 


89« 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


161 


00 


1790 


30' 
10 
20 
3o 
4o 
5o 
31 
10 
20 
3o 
4o 
5o 
32' 
10 
20 
3o 
40 
5o 
33 
10 
20 
3o 
4o 
5o 
34' 
10 
20 
3o 
4o 
5o 
:»' 
10 
20 
3o 
40 
5o 
:36' 
10 
20 
3o 
4o 
5o 
37' 
10 
20 
3o 
4o 
5b 
38' 
10 
20 
3o 
4o 
5o 
39' 
10 
20 
3o 
4o 
5o 
40' 


sin. 


7.940 
943 
945 
948 
950 
952 

7.955 
957 
959 
962 

964 
966 
7.968 
971 
973 
975 

977 

980 

7.982 

984 
986 
988 
990 
993 
7.995 
997 

7-999 
8.001 

oo3 

oo5 

8.007 
009 
on 
oi3 
oi5 
018 

8.020 
022 

024 
026 
027 
029 

8.o3i 
o33 
o35 
o37 
039 
o4i 

8.043 
045 

047 
049 
o5r 
o52 

8.o54 
o56 
o58 
060 
062 
o63 

8.065 


8419 
2479 
64o6 

0203 

3869 

74o8 

081 

410 

7267 
o3o6 

3223 

6020 
8608 
1258 
3702 
6o3o 
8244 
0345 
233i 
4212 
5981 

7641 
9193 
0639 
1980 
3216 

4349 
5379 
63o8 

7137 
7867 

8407 
903 1 
9468 
9808 
oo55 
0207 
0266 
0233 
0108 
9893 
9588 
9195 
8713 
8143 
7488 
6746 
5920 
5009 

4oi4 
2937 

1778 
o537 
9216 

7814 
6333 

4774 
3i37 
1422 
9630 

7763 


diff.  r 


co-9ia. 


2406.0 
2392.7 
2379.7 
2366.6 
2353.9 
2341. 1 
2328.6 

23l6.2 

23o3.9 
2291.7 

2279.7 
2267.8 

2256.0 

2244.4 

2232.8 

2221.4 

22IO.I 
2198.9 
2187.8 
2176.9 
2166.0 
2  I  55.2 

2144.6 
2I34.I 

2123.6 

2ii3.3 
2io3.o 
2092,9 
2082.9 
2073.0 
2o63.o 

2o534 
2043.7 
2o34.o 
2024.7 

2015.3 

2005.9 

996.7 
987.5 
978.5 
969.5 
960.7 
951.8 

943.0 
934.5 
925.8 

9174 
908.9 

900.5 

892.3 

884.1 
875.9 
867.9 
859.8 
85 1. 9 
844.1 
836.3 
828.5 
820.8 
8i3.3 


co-iec. 


diff.  1 ' 


12.059  ^58i 
0567521 

o54  3594 
o5i  9797 
0496I3I 
047  2592 
12.044  91 8 1 
042  5895 
o4o  2733 
0879694 
o35  6777 
o33  3980 

I2.o3l  i3o2 
028  8742 
026  6298 
024  3970 
022  1756 
0199655 

12.017  7666 
0155788 
0134019 
on  2359 
009  0807 
0069361 

12.004  8020 

002  6784 

12.000  565 1 

1 1 .998  46«  I 

996  3692 

994  2863 

11.992  3i33 

990  1 5o3 

9880969 

986  0532 

9840192 

981  9945 

11.9799793 

977  9734 

975  9767 

973  9892 

972  0107 

9700412 

1 1 .968  o8o5 

966  1287 

964  1857 

962  25l2 
9603254 

958  4o8o 

1 1.956  4991 

954  5986 

952  7063 

9508222 

948  9463 

947  0784 

11. 945  2186 

943  3667 

941  5226 

939  6863 

937  8578 

936  0370 

11.934  2237 


tang. 


8 


8 


8 


8 


rec. 


8 


7.940  8584 
943  2646 
945  6575 
948  0374 
950  4042 
952  7582 

^955  0996 
957  4284 
959  7447 
962  0488 
9643408 
9666206 

'.968  8886 

971  1449 
973  3894 
9756224 
977  844o 
980  0543 
'.982  2534 
9844414 
9866185 
988  7847 
990  9401 
993  0849 
.995  2192 
997  343o 
.999  4565 
.001  5598 
oo3  6529 
0057360 
.007  8092 
0098725 
01 1  9260 
oi3  9699 
0160042 
0180291 
.020  0445 
022  o5o6 
024  0475 
026  o353 
0280140 
029  9838 
.o3i  9446 
o33  8967 
o35  8400 
o37  7746 
039  7007 
o4i  6i83 
.043  5274 
045  4282 
047  3207 
049  2o5o 
o5i  0812 
o52  9493 
.o54  8094 
o56  66i5 
o58  5o58 
0603423 

062  1711 

063  9922 
.o65  8o57 


diff.  ] ' 


c(»4«ng. 


2406.2 
2392.9 
2379.9 

2366.8 
2354.0 

2341.4 
2328.8 
23i6.3 
23o4.i 
2292.0 
2279.8 
2268.0 
2256.3 
2244.5 
2233.0 
2221.6 
2210.3 
2199.1 
2188.0 
2177.1 
2166.2 
2155.4 
2144-8 

2 1 34.3 

2123.8 

2ii3.5 
2io3.3 
2093.1 
2o83.i 
2073.2 
2o63.3 
2o53.5 
2043.9 
2o34.3 
2024.9 

201 5.4 
2006.1 

996.9 
987.8 

978.7 

969.8 

960.8 

952.1 

943.3 

934.6 

926 

917.6 

909.1 

900.8 

892.5 

884.3 

876.2 

868.1 

860.1 

852.1 

844.3 

836.5 

828.8 

821.1 

8i3.5 


co-tang. 


flee. 


diff.  l" 


12.059  l4l6 
o56  7354 
o54  3425 
o5i  9626 
049  3958 
047  2418 

12.0449004 
042  5716 
o4o  2553 
0379512 
o35  6592 
o33  3794 

i2.o3i  1114 
028  855 1 
0266106 
024  3776 
022  i56o 
0199457 

12.017  7466 
oi5  55861 
oi3  38i5 
on  2i53 
0090599 
0069151 

12.0047808 
002  6570 

12.0005435 

1 1 .998  4402 
996  3471 
994  2640 

11.992  1908 
990  1275 
988  0740 
9860301 
983  9958 
981  9709 

11.9799555 
977  9494 
975  9525 
973  9647 
971  9860 
970  0162 

IT. 9680554 

966  io33 
964  1600 
962  2254 
9602993 
958  3817 
1 1 .956  4726 
954  5718 
952  6793 
950  7950 
948  9188 

947  o5o7 
11.945  1906 
943  3385 
941  4942 
9396577 
937  8289 
936  0078 
11.934  1943 


10.0000165 
0167 
0169 
0171 
0173 
0175 

10.0000177 
0178 
0180 
0182 
0184 
0186 

10.0000188 
0190 
0192 

0194 
0196 
0198 
10.0000200 
0202 


tang. 


0204 
0206 
0208 
0210 

1 0.00002 12 
0214 
0217 
0219 
0221 
0333 

10.0000225 
0227 
0229 
0232 
0234 

0236 

1 0.00002  38 
0240 
0243 
0245 
0247 
0249 

10.0000252 
0254 
0256 
0258 
0261 
0263 

10.0000265 
0268 
0270 
0272 
0275 
0277 

10.0000279 
0283 
0284 
0287 
0289 
0292 

10.0000294 


co-sec. 


co-sm. 


.30' 

5o 
4o 
3o 
20 
10 
29' 
5o 
40 
3o 
20 
10 
28' 
5o 
4o 
3o 
20 


9.9999835 
9833 
983i 
9829 
9827 
9825 

9.9999823 
9822 
9820 
9818 
9816 

9814 
9.9999812 
9810 
9808 
9806 

9804 
9802 
9.9999800  27' 
9798 
9796 

9794 
9792 

97901 10 

9.9999788 
9786 
9783 
9781 

9779 
9777 
9.9999775 
9773 
9771 
9768130 
9766 

9764 
9.9999762 

9760 

9757 

9755 

9753 

975i 
9.9999748 

9746 

9744 

9742 

9739 

9737 
9.9999735 

9732 

973o 

9728 

9725 

9723 
9.9999721 

9718 

9716 

9713 

9711 

9708 
9.9999706 


10 


5o 
4o 
3o 
20 


26' 
5o 
4o 
3o 
20 
10 
25' 
5o 
4o 


20 
10 

24' 
5o 
40 
3o 
30 
10 

23 
5o 
4o 
3o 
30 
10 

22' 
5o 
4o 
3o 
20 
10 

t21' 
5o 
4o 
3o 
20 
10 

^' 


sm. 


900 


89° 


21 


:| 


■;i 


!j 


162 


lOGJlBITHMIC     SINES,     TANGENT*,     &€. 


00 


179' 


10 
'SO 

•30 
5i> 


lO 
20 

40 
42 

lO 

ao 

3o 

4o 

5o 
m 


■in.    iiJtl" 


lO 

ao 
4o 
44' 

ID 

lO 

3o 

4o 

'30 
lO 

ao 
3o 

.40 
5o 

10 
ao 

'JpO 

4b 

5o 

47 

10 
20 
3o 

40 

48 

JO 

3o 
4o 
5o 
41/ 
10 
ao 
3o 
4o 
5o 


8.o65  7763. 
0G75820! 
0693803 

071  171 1 

072  9546 

074  7307 

8.076  4997 

078  2614 

080  0161 

081  7637^ 
o83  5o4a! 
o8'5  2379I 

8.086  96461 

o88'684S 

090'  <j970[ 

092  io4oi 

093  8o37' 
095  4q68| 

8.097  1 832 
0988632 
1 00  5367 
102  2o38 
io3  8645 
io5  5i88 

8.107  1669 
1088088 
1104445 
112  0740 
1136974 
Ii5  3i4« 

8.1 16  9262 
ii8  53i7 
120  l3l2 
lai  7248 
ia3  3ia7 

1248947 
8.1264710 

12804 16 
1296065 
]3i  i658 
1327196 
1342678 
8.i35  8io4 

1 37  3477 

1 38  8795 
1 40  4059 
i4i  9270 
143  4427 

8.1449532 
1464585 
1479586 
1494534 
1609432 
1524279 

8. 1 53  0075 
1 55  382 

r56  85i7 
i58  3i63 

1 59  7760 
161  23o8 


60' 8.162  6808 


1806.7 
1796.3 
1790.8 
17W.5 

1776.1 
1, 769.0 
1761*7 

I7W-7 
1747.6 

1740.5 

1733.7 
17:26.7 

1719-91 

I7»3'i 

17CJ64 
1690-7 

l6«3.1 

1686.4 
1660.0 
1673.5 

1667. 1 
1660.7 
1654.3 
1648.1 
1641.9 
1635.7 
i6ao.S 

i62d4 

1617.4 
1611.4 

1590.5 
1503.6 

1587.9 
1 582.0 
1576.3 
1 570.6 
1564^9 

1 559.3 
I  jj3.8 

1 548.2 
1 542.6 
1537.3 
1 531.8 

1 526.4 

i53I.I 

t5i5.7 
i5io.5 

1 505.3 
i5oo.i 
1494.8 
1489.8 

1484.7 
1479-6 
1474.6 
1469.6 
1464.6 
1459.7 
1454.8 
1 450.0 


1.93422378.0658057 
9324160  0676117 
930  §197  0694102 
938  8289 
927  0454 
025 


071  2012 
€729650 

©747^14 

1.0765306 
0782926 
0600475 

081  7953 

©83  536 
o85  2700 


1.923 

921  7 
91098 
918  236 
9164956 
9147021 

1.91103548.0669970 
9ii3i55  0887172 
90960^4  0904306 
9078960  0921172 
9061963  09383^71 
904  5o32  095  53o5 

11,902  8168  6x)97  2172 

?oi  i368  098  8975 
994633 


diff*.  1 


tf 


CO- tang. 


897796a 

896  1  j55 

8944812 
iii9a833i 
891  1912 
8895555 
6879260 
8663026 
684  6852 
[1.8830738 
68  r  4683 
8708688 
678  275a 
6766673 
875  io53 


1005712 
loa  a  386 
io3  899S 
io5  5S42 

8.107  2025 
io8  8446 
1 10  4806 
112  iio4 
1137341 
ii535f8 

8.1169634 
118M 
120  i6»9 
lai  7629 
ia3  35io 
ia4  9333 


1 1 .873  5390  8. 1  a6  5099 


II 


ca-8in. 


diff.  I" 


871  o584 
870  J935 
868  834 
8672804 
665  7322 
1.8641896 
862  6523 
861  I205 
8595941 
858  0730 
856  5573 
.855  o468 
853  54 1 5 

852o4i4 
85o  5466 
8490568 
847  5721 
1.8460925 
844  6179 
843  1483 
84 1  6837 
84o  2240 
838  7692 


1 28  0807 

1 29  646<:) 
i3i  ao56 
i32  7596 
i34  3o8i 

8.135  85io 

137  3886 

1 38  9207 
1404474 
i4i  9687 
1434848 

8.1449956 
i46  5oii 
i46ooi5 
1494967 
1509867 
1524717 

8.1539516 
1 55  4265 
1668964 
i58  36i3 
1696213 
161  2766 


11.83731928.1627267 


1806.0 
1798-5 
1 701.0 

1 783.8 
17764 
1 769.2 
1762.0 

1754.9 
1747-0 
1740.8 
1733.9 

1727.0 

1720.2 

1713.3 

1706.7 

1699.9I 

1093.4 

1(186.7 1 

1660.3 

1673.7 

1667.4 

1660.9 

1654.7 
1648.3 
1642.T 
i636.o 
1629.8 
162X7 
1617.7 
1611.6 
1606.7 
1699.8 
1694.0 
i688.r 
1682.3 
1676.6 
1 670.8 
1 665.3 
15596 
i65.fo 

1 548.5 
1642.9 

1 537.6 
i532-i 
1636.7 
1 621.3 
i5i6.i 
1 5 10.8 
i6o5.5 
1600.4 
1496.2 
1490.0 
I485.0 
1479.9 
1474.9 
1469.9 
1464-9 
1 460.0 
1455.2 
i45o.a 


11.934  1943 

932  3883 

9306896 

9287988 

927  01 5o 

925  2386 

11.9234694 

921  7074 

9199625 

918  ao47 

9164639 

9147300 

11.913  oo3b 

91 1  2828 

909  6696 

907  8628 

906  1620 

904  469* 

1 1 .902  7828 

901  1026 

6994388 

897  7614 

896  ioo5 

894  445b 

11^(92  7976 

891  1 554 

889  6194 


■«c. 


wwni- 


iox)ooo294 
0296 
0299 
o3oi 
o3o4 
o3o6 

f0.oooo3o9 
o3ii 

o3i4 
o3i6 
o3i9 
o322 

io.oooo324 
o327 


887  8896 
2660 


s«c. 


CO-t1ll|[. 


886  2t)!)9 

884  6485 

11.883  o36f 

881  4309 

870  83 1 1 
878  2371 
6766490 
8760667 

11.8734901 

871  9193 
870  3540 
8687944 
867  24o4 
866  6919 

11.864  1490 
862  61 1 4 
861  0793 
6695526 
858o3i3 
666  5i53 

1 1 .866  oo44 
853  4989 
8619986 
85o5o33 
8490133 
847  5283 

11.846  o484 
844  5736 
843  io36 
84 1  6387 
84o  1787 
838  7236 


0329 
o332 
©3.34 
o3B7 

io.oooo34o 
o343 
o345 
o348 
«35o 
o363 

io.oooo356 
©368 
o36i 
o364 
©367 
«369 

10.0000372 
0375 
0378 
o38o 
©383 
o386 

10.0000389 
©392 
©394 
©397 
©4oo 
o4o3 

10.0000406 
©409 
©41 3 
©4i5 

©417 
0420 

10.0000423 
0426 
0429 
0432 
0435 
©436 

10.0000441 

o444 

©447 
o45o 

0453 

04.66 


11.837  2733  10.0000459 


diff.  n 


ttui^.   I 


co-Bee. 


919999706  20' 
9704 
9701 
9699 
9696 
9694 

9.9999601 
9^)89 
9686 
9684 
9681 

9.9999676 

9(">73 

9671 
9668 
9666 
9#)63 
9.9999660 
96  •^s 

9655 
9662 
9660 

9647 
9.9999644 
9642 
9639 
9636 
9633 
963] 
9.9999628 
9625 

9620 
9617 

9614 

9.9999611 
960^ 
9606 
9603 
9600 
9697 

9-9999694 
9601 
958b 
9686 
9583 
9680 

9.9999677 
9674 
9671 
9668 
9665 
9662 

9.9999559 
9556 
9663 
9660 
9647 
9644 

9.9999541 


60 

40 

3() 

20 

10 

lit 

5o 

4o 

3o 

ao 

10 

18' 

60 

4© 

3o 

20 

10 

17 

60 

40 

3o 

90 
10 

16' 

5o 

40 

3o 
20 
10 

15' 
5o 
40 
3o 
20 
10 

W 
5© 
4© 
3© 
a© 
I© 

i:j 

5o 

4< 

3o 

20 

1© 

12' 
5o 
4o 
3o 
20 
10 
11 
60 
4o 
3o 
ao 
10 
10' 


Bin. 


HOC 


89<» 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


163 


00 


IT90 


■IB. 


8. 


50' 
10 
30 
3o 
40 
5c 
51' 
10 
20 
3o 
40 
60 

52'|8. 
10 
ao 
3o 
4© 
5o 
53' 
10 
20 
3o 

4© 
5o 


54' 
10 
a© 
3o 
4o 
5o 


8 


8. 


8. 


diC  1" 


626808 
64  1 269 
66  5663 
670019 
68  4337 
698689 

71  2804 

72  6972 

74  1094 

75  6171 

76  9202 
78  3i88 
797139 
81  1026 
83  4877 
83  8685 
85  3450 
866170 
870848 
89  3482 
907074 
920634 
9341 3 1 
947596 
961020 
97  44o3 
987744 

200  io44 
2ot  43o4 
ao2  7623 
55'j8.2o4  0703 
io|  206  3842 
206  6942 
ao8ooo2 
ao9  3o24 
2106006 

8-21 1  8949 
ai3  i854 
a  144721 
2167650 
ai7o34i 
ai8  3096 

8.219  681 1 
a  20  8490 

222  IlJi 

223  3737 
22463o6 
226  8839 

8.227  i335 
aaS  3796 
2296231 
23o86io 
333  0966 
233  3384 

8.234  5668 
2357818 
237  oo33 

238  2214 

2394361 

240  6474 

8.a4i  8653 


20 
3o 
40 
60 

56' 
10 
ao 
3© 
4© 
60 

57' 
10 
ao 
3o 
40 
60 

58' 
10 
20 
3o 
4o 
60 

.61)' 
10 
30 
3o 
4o 
60 

60 


co-Bin. 


1 445,1 
1440.4 
1435.6 
1430.8 
1426.2 
1431.5 
1416.8 

l4t2.2 

1407.7 

i4o3.i 
1398.6 
1 394. 1 
r  389.6 
1385.2 
i38o.8 
1376.5 

i373.0 

1367.8 

1 363. 4 
1359.2 
1 355.0 
1 350.7 

1 346.5 
1342-4 
1 338.3 
i334 
i33o.o 
i336.o 

l33£.9 

i3r8.o 

i3i3.9 

i3io.o 

i3o6.o 

i3oa.2 

1298.2 

1294.3 

1290.5 

1286.7 

1282.9 

1279.1 

1276.4 

1271.6 

1267.9 

1264.3 

1260-6 

1266.9 

1263.3 

1 2496 

1 246. 1 

1242.6 

1338.9 

1236.5 

1231.9 

1228.4 

1226.0 

1221.6 

1218.1 

1214.7 
1211.3 


co-«ec. 


tang. 


8. 


8. 


8. 


11.837  3102 
835  8741 
8344337 
8329981 
83 1  5673 
83©  i4i' 

11.828719618. 
827  3028 
8268906 
824  4829 
823  07 
821  6812 

11.820  3871 
8188975 
817  5i33 
816  i3i6 
8i4  7660 
8i3  383o 

1 1.8120162 
8106618 
809  2926 
807  9376 
8066869 
806  a4o4 

H.80389808. 
80a  5597 

801  3256 

7998966 
798  6696 
797  2477 

11.7969297 
7946168 
793  3o58 
7919998 
7906976 
7893994 

11.788  io5i 
7868146 
786  6279 
784  245o 
782  9669 
781  6906 

11.7804189 
779  i5io 
777  8868 
776  6263 
775  3694 
774  1 161 

11.772  8665 
771  6204 
770  3779 
769  1390 
767  9035 
7666716 

11.7664432 
764  2182 
7629967 
761  7786 
760  5639 

'  y  11.768 1447 


8 


8. 


8 


diff.l" 


•ec. 


8 


8. 


8 


62  7267 
64  1722 
666138 
67  0487 

684799 
690064 
71  3283 

73  7453 

74  1 679 
76  6658 
769693 
783682 
79  7626 
81  i535 
8a  538 1 
839193 
85  3959 
866683 
88o364 
894002 
907697 
92  1 1 5o 
934660 
948129 

96  i556 

97  4949 
988286 

200  1690 

201  4853 
aoa  8076 
.204  1269 

205  44©  I 

206  7605 

208  o568 

209  3693 
2106679 
211  9626 
3i3  2434 
2i4  53o4 
2168137 
2170931 
218  3688 
.2196408 
220  9090 
222  1736 

223  4345 
2246917 
226  9453 
,227  1953 

2284417 
2296846 

23o  9239 

232  1697 

233  3920 
2346208 
236  8461 
2370680 
a38  2866 
2396016 

240  7i32 

241  9216 


diff  1" 


co-tan^. 


1445.6 

1 440.6 
1435.9 

[43 1. 2 
1426.5 
1421.8 

i4i7-i 
i4ia.6 

1407. 
i4o3. 
1398.9 

1394.4 
1389-9 
13856 
i38i.i 
1376.7 
1372.4 
i368.i 
1 363.8 
1359.6 
i355.3 
i35i.o 
1 346-9 
1342.7 
1338-6 
1334.4 
i33o.4 
r  326.3 

l322.3 

i3i8.3 
i3i4,3 
i3io.4 
i3o6.3 
i3o2.6 
1298.6 

1 394.7 
1290.8 
1287-0 
1283.3 

1 379-4 
1376-7 
1272.0 
1368.2 
1 264.6 
1260.9 
1267.2 
1253.6 
1260.0 
1 246.4 
1342.9 
1239.3 
1235.8 

1233.3 

1228.8 

1226.3 
I22I.9 

1218.5 

1216.0 
I2II.7 
1208.3 


oo-tanf. 


tec 


diff.l" 


11.8372733 

8358278 
834  387a 
832  05131 
83i  6201 
8300936 

it.8286718 
827  2647 
8a6  843i 
8a4  4342 
8a3  o3o7 
821  63i8 

ii.8ao  2374 
8188475 
8174619 
8160808 
8147041 
8i3  33i7 

11.8119636 
8106998 
809  24o3 
807  885© 
806  534© 
8o5  1871 

ir.8o3  8444 
80a  5o58 
801  1714 
7998410 
798  5i47 
797  1924 

11.7968741 
794  5599 
793  3496 
791  9432 
790  6407 
7893421 

11.7880474 
786  7566 
7864696 
784  i863 
7829069 
781  63ia 

11.7803592 
7790910 
777  8264 
776  5656 
776  3o83 
774  ©547 

11.772  8047 
771  5583 
770  3 1 54 
7690761 
767  84o3 
7666080 

1 1 .766  3792 
764  1539 
762  9320 
761  7i35 
760  4986 
769  2868 

11.7680786 


10.0000459 
©^ 
©466 
0469 
047a 
©476 
10.0000478 
o48i 
©484 
0487 
©491 
©494 
10,0000497 
©5o© 
o5o3 
o5o6 
o5io 
o5i3 
io.©ooo5i6 
©Sio 
©623 
0626 
©Sao 
©633 
io.©©o©536 
©539 
o54a 
o546 
0649 
©552 
10.0000666 
©669 
©563 
©566 
0669 
0673 
10.0000676 
o58o 
©583 
©687 
*  ©69© 
0694 
i©.©oo©597 
©60© 
©6©4 
0608 
©611 
©616 
10.0000618 
0622 
0626 
©629 
o633 
o636 
10.0000640 
0643 
0647 
o65i 
©664 
©668 
I  ©.0000662 


tang. 


co-aec. 


900 


oo^in. 


9.9999541 
9638 

9534 
9631 
9638 
9626 

9.9999622 
9619 
9616 
9613 
9609 
9606 

9.9999603 
9600 
949" 
9494 
9490 
9487 

9.9999484 
9481 

9477 
9474 
9471 
9467 
9.9999464 
9461 
9458 

9454 
9451 
9448 

9.9999444 
9441 
9437 
9434 
943 1 
9427 

9-9999424 
9420 

9417 
94i3 
9410 
9406 

9.9999403 
9400 
9396 
9392 
9389 
9385 

9.9999382 
9378 

9375 
9371 
9368 
9364 
9.9999360 

9357 
9353 

9349 

9346 

9342 

9.9999338 


10' 

5© 

4© 

3o 

20 

10 

9' 

5© 

4© 

3© 

a© 

I© 

8' 

5© 

4© 

3o 

ao 

I© 

T 

5© 

40 

3o 

ao 

10 

6' 

5o 

4© 

3o 

ao 

10 

5' 

60 

4© 

3© 

a© 

10 

4' 

5© 

4© 

3o 

ao 

I© 

3' 

5© 

4© 

3o 

20 

10 

2' 

5o 

4o 

3o 

20 

10 

1' 

5o 

4© 

3o 
20 
10 
0' 


Bin. 


8»o 


III 


i| 


f  1 


164 


LOGARITHMIC     SINES,     TANGENTS,     &€. 


10 


178° 


a* 

lO 

ad 
3o 
4o 

5o 
I' 

10 

ao 
3o 

4o 

30 
10 

ad 
3o 
4o 
5o 

lO 

ao 
3o 
4o 

4' 

10 

ao 
3o 
4o 
5o 
5' 

10 

ao 
3o 
4o 
5o 
€f 

lO 

30 

3o 

4o 
5o 
7' 

lo 
ao 
3o 
4o 

5o 
w 

lO 
30 

3o 
4o 
5o 
9' 

lO 

ao 
3o 

10' 


•la. 


8.a4i  8553 
a43  0599 

a44  a6t  1 
345  45oi 
a46  6537 
3478451 
8.a4vo332 
25o  2180 
a5i  3906 

253  5781 

253  7533 

254  9354 
8.2560943 

358  4a  37 

359  5822 

360  7387 

361  8920 
8.a63  0434 

264  1896 

265  3339 
a66  475i 
2676134 
268  7487 

8.2698810 
271  0104 
373  i368 
373  3604 

274  38 10 

275  4987 
8.2766136 

277  7256 

278  8348 
3799411 
a8i  o447 
aSa  1454 

8.383  2434 

384  3386 

385  43io 
a86  5207 
287  6076 
2886919 

8.289  7734 
290  8523 
391  9285 

393  0020 

394  0729 
a95  i4m 

8.296  3067 
397  2697 

298  33oi 

299  3879 

300  4432 
3oi  4959 

8.3o2  5460 
3o3  5937 
3o46388 
3o5  68i3 
3067314 
3077590 

8.3o8  7941 


diff.l" 


«o-iiii. 


iao4.6 
1201.2 
1 198.0 
1 194.6 

11 91. 4 
iii^S.i 
1 184.8 

1 1 81. 6 

1 178.5 
1175.3 
1173.1 
1168.9 

1 165.7 
J  162.7 
1159.5 
1 1 56.5 

1 1 53.3 

1 1 50.4 
u47-2 
ii44'3 
ii4i.3 
II 38.3 

1 1 35.3 
ii3a.3 
1139.4 

1 1 26.4 
iia3.6 

I I  ao.6 

II 17-7 
1114.9 

I I I  a.o 
1109.2 

11 06.3 
iio3.6 
1100.7 
1098.0 
1095.2 

1 093 .4 
1089.7 
1080.0 
1084.3 
it»8i.5 
1078.9 
1076.3 
1073.5 
1070-9 
1068.3 
1065.6 
io63.o 
1060.4 
io57-8 
io55.3 
1053.7 
io5o.i 

1047.7 
io45i 
1043.5 
io4o.i 
1037.6 
io35.i 

diCl" 


c0-me. 


11.758  1447 
7569401 
755  7389 
754  5409 
753  3463 
753'  1 549 


8.241  9315 

243  1  264 

244  3380 

245  5263 
2467213 
2479131 


11.750 96(38  8.249  '^'^ 
749  7820  35o  2868 


7486004 
7474219 
746  3467 
745  0746 


11 


t»i»f. 


a5i  4688 

252  6476 

a53  8232 
254  9956 


di.T.l" 


.743  9057  8.256  1649 
7437400     35733 10 


II 


74 1  5773 
7404178 
7392613 
738  1080 
.736  9576 
7358104 
734  6661 


358  4941 
3596540 
2608108 
a6i  9646 
8.263  1 1 53 

264  a63o 

265  4076 


7335249  2665492 
732  3866  267  6879 


II 


II 


II 


II 


II 


II 


II 


73i  25i3 
.730  1190 
7289806 
727  86j2 
726  7396 
7356190 
734  5oi3 
.733  3864 
733  3744 
731  i653 
7200589 
7180553 
7178546 
.7167566 

7i566i4 
7145690 
7i3  4793 
713  3924 
711  3o8i 
.710  3266 
709  1477 
708  0715 
7069980 
7o5  9271 
704  8589 
.703  7933 
70a  73o3 
701  6699 
700  61 2 1 
690  5568 
698504 
.697  4540 
6964063 
695  36i2 
69^  3187 
693  2786 
692  2410 
.691  2059 


368  8336 

8.260  9563 

2710860 

272  2129 

273  3368 
374  4578 
275  5760 

8.2766912 
277  8o36 
2789132 
280  0200 
a8i  1239 
a8a  aaSi 

8.383  3334 
3844190 
385  5ii8 
2866019 
2876893 
288  7740 

8.2898559 
390  9352 

392  01 18 

393  0857 
294  1 570 

295  2256 

8.396  3917 
397  355i 
2984159 
399474a 
3oo52o8 
3oi  58jo 

8.3o3  6335 
3o3  68i6 

3047271 

305  7701 

306  8io6 

307  8486 
8.3o8  8843 


sec. 


eo-tang. 


010 


304.9 

aoi.o 

98.3 

95.0 
91.8 
88.4 

83.0 
78.8 
75.6 

72.4 
60.3 


:? 


63.1 

^- 

53.8 
5o.7 

47.7 
44.6 
4i.6 

38.7 

35.7 
■32.7 
30.7 
36.9 
a3.9 
ai.o 
i8.a 

1 5.3 

12.4 

09.6 

06.8 

03.9 

01.2 

098.3 

095.6 

0928 

090.1 

087.4 

084.7 
081.0 

**7?-3 
076.f) 

073.9 

071.3 

068.6 

066.1 

063.4 
060.8 
o58.3 
o55.6 
o53.2 
o5o.5 
048.1 
045.5 
043.0 
o4o.5 
o38.o 
o35.6 


co-tang. 


II 


II 


II 


11 


■ec* 


II 


II 


II 


diff.  I'- 


ll 


II 


II 


II 


.7580785 
j56  8736 
755  6720 

754  4737 
753  2787 
7520869 
.7508985 
7497132 
748  5312 
747  3524 
746  1768 
745  oo44 
.743  8351 
743  6691 
74  f  5o59 
740  3460 
739  1892 
738  o354 
.736  8847 
735  7370 

734  5o24 

733  4jt>8 

732  3l21 
73 1  1764 
.730  0437 
7289140 
737  7871 
726  6632 

735  5433 

734  4a4o 
.733  3o8b 

733  1064 
731  0868 
7199800 
7188761 

7177749 
.7166766 
7i5  58io 
7144883 
7133981 
713  3i07 
711  3360 
.710  i44i 
7090648 
707  9882 
7069143 
7o5  843o 
704  7744 
.703  7083 
702  6449 
701  584 1 
700  5258 
6904702 
6984170 
.697  3665 
6963184 
695  2729 
694  2299 
693  1894 
692  i5i4 
.691  ii58 


10.0000662 
o665 


0669 
0673 
0676 
0680 

10.0000684 
0687 
0691 
0695 
0699 
0703 

10.0000706 
0710 

0714 
0718 
0722 
0725 

10.0000739 
0733 
0737 
0741 
0745 
0740 

10.00007S3 
0757 
0761 
0764 
0768 
0773 

10.0000776 
0780 

0784 
0788 
0793 
0796 

10.0000800 
0804 
0809 
o8i3 
0817 
0831 

10.0000835 
0839 
o833 
0837 

o84i 

o846 
io.oooo85o 

o854 
o858 
0863 
0866 
0871 

10.0000875 
0879 
o883 
0888 
0892 
0896 

10.0000900 


co-uin. 


tang. 


co-aec. 


9.9999338 
9335 
9331 
9327 
9334 
9330 

9.9999316 
93i3 

93o5 
9301 
9297 

9.9999394 
9290 
9386 
9283 
9378 
9275 

9.9999271 

9267 
9263 
9259 
9255 
9251 

9.9999247 
9243 
9239 
9236 
9232 
9228 

9.9999224 
9330 
9216 
9212 
9208 
9204 

9.9999  2  Of  J 

9 

9 

9 

9 

9 
9.9999 

9 

9 

9 

9 

9 
9.9999 

9 

9 

9 

9 

9 
9.9999 

9 
9 
9 
9 
9 
99999 


96 

?; 

83 

79 

73 
7' 
67 

63 

59 

54 
5o 

46 
4'> 
38 

34 
2 
2 
21 

'7 
12 

08 

o4 
00 


■in. 


6'*' 
5o 
40 
3o 
20 
10 

4( 
3c 
20 

58' 
5c 

4« 
3f. 

2t: 
Id 

57' 

5o 

40 
3c- 
20 
10 
56 
5c 
40 
3o 
20 
10 
55' 
5o 
4o 
3o 
20 
10 
54' 
5o 
4o 
3o 
20 
10 
53' 
5o 
40 
3o 
20 
10 
52' 
5o 
4o 
3o 
20 
10 
51' 
5o 
4o 
3o 
20 
10 
.50' 


88° 


LOGARITHMIC     SINES,     TANGENTS, 


&C. 


165 


1° 


178° 


sin. 


10 
10 
90 
3o 
4o 
5o 
11 
10 
ao 
3o 
40 
5o 
12 
10 
20 
3o 
4o 
5o 
13 
10 
30 
3o 
40 
5o 
14 
10 
20 
3o 
40 
5o 
15' 
10 
30 
3o 
40 
5o 
16 
10 
20 
3o 
40 
5o 
17' 
10 
20 
3o 
4o 
5o 
18' 
10 
20 
3o 
4o 
5o 
19 
10 
20 
3o 
40 
5o 
20' 


djff.  1" 


8.3087941 

309  8268 

3 10  8570 
3ii8848 
3i2  9101 
3i3  933i 

8.3 1 4  9536 

3159717 
3169875 
3 18  cx)o8 
3190119 
320  02o5 
8.321  0269 

322  o3o9 

323  o326 
324o3r9 
3350290 
326  0238 

8.3270163 
3280066 

328  9946 

329  9804 

330  9639 

33 1  9452 
8.332  9243 

3339012 

334  8759 

335  8484 
3368187 
337  7869 

8.338  7529 
3397168 

340  6785 

341  6382 

342  5957 

343  55io 
8.344  5o43 

345  4555 

346  4o47 

347  35 17 

348  2967 

349  2396 
8.35o  i8o5 

35i  1 194 
352  o562 
352  9910 
3539238 
354  8546 
8.3557835 
3567103 
3576351 

358  558o 

359  4790 

360  3979 
8.36 1  3i5o 

363  23oi 

363  1433 

364  o545 

364  9639 

365  8713 
8.366  7769 


co-sec. 


II 


11 


II 


II 


io32.7^'' 
io3o.3 
1027.8 
I025.3 

I023.0 

1020.5 

1018.1 

oi5.8 

ioi3.3 

lOII.l 

ic>o8.6 
1006.4 

KX)4.0 

1001-7 
999.3 
997.1 
994-8 
992.5 
990.3 
988.0 
985 
983 
981-3 
979.1 
9769 

974-7 

972.5 

970 -3 

968-2 

966-0 

963.9 

961-7 

959.7 

957-5 

955.3 

953.3 

951.2 

949.2 

9470 

945.0 

942.9 

940.9 

938.9 

936.8 

934.8 

932.8 

930.8 

928.9 

926-8 

924-8 

922-9 

921.0 

918.9 

9171 
915.1 
913.2 
911. i 
909.4 

907.4 
905.6 


tang. 


II 


II 


co-iin. 


diff.l" 


691  2059 
6901732 
689  i43o 
688  ii52 
6870899 
6860669 
.685o464 
684  0283 
683  0125 
681  9992 
6809881 

679  9795 
.678  973 1 
677  9691 
676  9674 
6759681 
6749710 
673  9762 
.673  9837 
671  9934 
671  oo54 
6700196 
6690361 
6(>8  o548 
.667  0757 
6660988 
665  1 24 1 
664i5i6 
663  i8i3 

662  2l3l 
.661  2471 

660  2832 

6593215 
658  36 1 8 
657  4o43 
656  4490 
.655  4957 
654  5445 
653  5953 
652  6483 
65 1  7o33 
65o  7604 
.6498195 
648  8806 
647  9438 
6470090 
646  0762 
645  1454 
.644  2 1 65 
643  2897 
642  3649 
64 1  4420 
64o  5210 
639  602 1 
.638  685o 
637  7699 
636  8567 
635  9455 
635o36i 
634  1287 
,633  233 1 


difi:  l" 


u 


II 


11 


II 


sec. 


8.3o8  8842 
3099173 

3109479 
3i  I  9761 

3i3  0019 

3i4o253 

8.3 1 5  0462 

3i6o648 

3170810 

3180948 

319  1062 

320  II 54 
8.321  1221 

322  1266 

323  1287 

324  1285 

325  1260 

326  12l3| 

8.327  1143 
328  io5o 
339  0934 

330  0706 

33 1  0636 

332  o454 
8.333  0249 

334  CX)23 

334  9774 

335  95o4 
3369212 
337  8898 

8.338  8563 

339  8206 

340  7828 

34 1  7429 

342  7009 

343  6567 
8.344  6io5 

3455621 

346  5117 

347  4592 

348  4o47 
3493481 

8.35o  2895 
35i  3288 

352  1661 

353  ioi4 

354  o347 
3549660 

8.355  8953 

356  8226 

357  7479 
3586713 
359  5927 
36o5i2i 

8.36i  4297 

362  3453 

363  2589 

364  1707 

365  o8o5 
365  9885 

8.366  8945 

co-tang. 


co-tang. 


II 


11 


io33.i 
io3o.6 
1028.2 
1025.8 

1023.4 
1020.9 
ior8.6 
1016. 2 
!oi3.8 
101 1.4 
1009.2 

i(X)6.7 

ioo4.5 

1002.1 

999.8 

995-3 
993.0 

988.4 

986 

984.0 

981-8 

979.5 

977-4 

975.1 
9730 

970.8 

968.6 
966.5 

964.3 
962.2 
960.1 

958.0 
955.8 
953.8 

951.6 
949.6 
947-5 
945.5 
943.4 
941.4 
939.3 
937.3 
935.3 
933.3 
931.3 
929.3 
937.3 
935.3 

923.4 
921.4 

919.4 
917.6 
915.6 
913.6 
911.8 
909.8 
908.0 
906.0 

diff.  I' 


sec. 


II  .691  Il58 
690  0827 
6890521 
688  0239 
686998 
685  9747 
,684  9538 
683  9352 
682  9190 
681  9052 
680  8938 
679  8846 
.678  8779 
677  8734 
6768713 

675  8715 
674  8740 
673  8787 

11.6728857 
671  8950 
670  9066 
6699204 
6689364 
667  9546 

11.6669751 

'  6659977 
665  0226 
6640496 
663  0788 
662  1102 

1 1. 661  1437 
660  1794 
659  2172 
658  2571 
657  2991 
656  3433 

11.6553895 

654  4379 
653  4883 
652  5408 
65 1  5953 
65o65i9 

11.649  7io5 
648  7712 
647  8339 
646  8986 
645  9653 
645  o34o 

11.644  io47 
643  1774 

642  2521 

64 1  3287 
64o  4073 
639  4879 

1 1 .638  5703 
637  6547 
636  74 1 1 
635  8293 
6349195 
634  01 1 5 

11.633  io55 

tang. 


co-sm. 


IO.OOCK)9CX> 

0905 
0909 
0913 
0918 
0922 

10.0000926 
0931 
0935 
0939 
0944 
0948 

10.0000953 
0957 
0961 
0966 
0970 
0975  1 

10.0000979 
0984 
0988 
0993 
0997 

I{X>3 

io.oooicxd6 
ion 
ioi5 
1020 
1024 
1029 

io.<XK)io34 
io38 
1043 

1047 
io52 
io57 

10.0001061 
1066 
1 071 
1075 
1080 
io85 

io.ocx)io89 
1094 
1099 
1104 
1108 
iii3 

10.0001118 

1 1 23 

1128 

Il32 

ii37 

1 143 

io.cxx)ii47 

Il52 

11 57 
1161 
1166 
1171 
10.0001176 

co-sec. 


9V 


9.9999100 
9095 

9087 
9082 
9078 
9.9999074 
9069 
906D 
9061 
90  56 
9052 

9.9999047 
9043 
9039 
9034 
90  3o 
9025 

9.9999021 
9016 
9012 

9007 
9o<53 
8998 
9.9998994 
898^ 
898 
8980 
8976 
8971 
9.9998966 
8962 
8957 
8953 
8948 
8943 
9.9998939 
8934 
892 
892 
8920 
8915 
9.999891 1 
8906 
8901 
8896 
8892 
8887 
9.9998882 
8877 
8872 
8868 
8863 
8858 
9.9998853 
8848 
8843 
8839 
8834 
8829 
9.9998824 


50' 
5o 
40 
3o 
30 
10 
49' 
5o 
4o 
3o 
20 
10 
48' 
5o 
40 
3o 
20 
10 
147' 
5o 
4o 
3o 
20 
10 
46 
5o 
40 
3o 
20 
10 
45' 
5o 
40 
3o 
30 
10 
44' 
5o 
40 
3o 
20 
10 
43' 
5o 
4o 
3o 
30 
10 
H2' 
5o 
4o 
3o 
20 
10 
41 
5o 
40 
3o 
20 
10 
40' 


SlU. 


88° 


iiiiiii miia I 


if 


;l 


1. 


166 


LOGARITHMIC     SINES,     TANGENTS,     &iC. 


10 


•tn. 


'5Hl 
lo 
20 

•3o 
4o 

m 

20 

3o 
4o 

5o 

10 
20 

3o 

4o 

5o 

123' 

10 
20 

3o 

.4o 

ill 

lO 

ao 

3o 

4o 
5c> 

85'' 

lO 

30 

3o 
4o 
5o 

lO 
20 

3o 
4o 

5i> 
127' 

10 

»o 

5o 

26 

lO 

ao 
'3o 
4o 
5o 

W 

lO 

ao 

"SO 

So 


8.366  7769 
3676806 
3(38  5824 

369  4833 

370  38<.)4 

3  "7 1  3700 

8.37a  I7H> 
373  o635 

373  954; 


178= 


^<lif.  1"   eo-wc. 


374  M3o 

375  73oi 
3766153 

8.377  4988 

378  38o4 

379  2603 

380  1 384 

38 1  0147 
38 1  8892 

8.38a  7620 

383  633o 

384  5o23 

8.387  9622  *''•'» 
388  8229 
3896818 
391)  5391 

391  3947 

392  2486 
8.393  1008 

3939513 
394Sooa 

395  647^ 

396  4930 

397  3370 
8.398  1793 

3990199 
399  8590 
4006964 
4oi  53-.»2 
4o?  3664 
8.4o3  1990 
4o4  oJcjo 

404  8594 

405  6873 

406  5i35 

407  3382 
8.408  i6i4 

4080829 
409  8029 
4106214 
4m  4383 
4i2  a537 
8.4130676 
4i3  88oo 
4146908 
4i5  5ooi 
4i6  3079 

417  Il42 

[8.4179190 


II 


903.7  '  * 
901.8 

^? 

896.2 

894-4 
B92.5 
»9o.7 

887.1 

885-2 

883.5 

881.61" 

879.9 

878.1 

876.3 

874,5 

872.8 

871.0 

869.3 

867.6 

'865.8 


.633  223  J 
632  3194 
63i  4176 
63o  5i77 
6206196 
628  7234 


tang. 


diCl" 


6260458 
625  1570 
624  2699 
623  3847 
.622  5oia 
621  6196 
620  7397 
6198616 
618  9853 
618  1108 


36779871'^  f 
368  7mo  9*>^-3 

3696014  H't 

.627  8290  8.372  291 5:2^ 

6269365  373  i845:°?f" 

— -  374o757:^g;:^ 

3749651  ^g^fi 

375  8527  00  c 

8.3776223^2,? 


co-tanf. 


II 


•ec. 


11.61723808.3828886 


860.7 
858.9 

857.3 
855.6 
S53.9 

852.2 

85o.5 
848.9 
847.3 
845.5 
844.0 
842.3 
840.6 
839.1 

837.4 

835.8 

834.2 

832.6 

83 1. o 

829.4 

827.9 

826.2 

824.7 

823.2 

821.5 

820.0 

818.5 

816.9 

81 5.4 
813.9 
812.4 
810.8 
809.3 
807.8 
806.3 
804.8 


6163670 
6154977 
6i463oi 
6137643 

612  9(X)3 


II  .61 2  0378  8.388  09 1 8 


ti 


11 


11 


611  1771 
6io3i82 
6<»9  4609 
608  6o53 

6077514 
.6068992 
6060457 
6o5  1998 
6o4  3525 
6o3  5070 
6o2  663o 
.601  8ao7 
6009801 
600  i4io 
5993036 
598  46 
597  6336 
.5968010 


379  3849 

380  2634 

38 1  i4o3 

382  01 53 


383  7601 

384  6299 

385  4980 

386  3643 

387  2290 


c»«ia. 


595  9700  4o4  1696 
595  i4o6  4o4 
594  3 1 27  4o5 
593  4865  4o6  6548 
592  66  r  8  407  4800 
11.591  8386  8.408  303-1 


388  9530 
3898125 

390  6703 

391  5264 
3923808 

8.393  2336 
394  o846 
394  9340 
3957818 

396  6279 

397  4724 
8.3983152 

399  1 564 
3999959 

400  8339 
4oi  6702 
4o2  5o5o 

8.4o3  338i 


591  0171 
5oo  1971 
5893786 
588  56i7 
587  7463 


1 1.5869324  8.41 3  2 132 


dif.  I'- 


ll 


586  1200 
585  3092 

584  4999 
583  6921 

582  8858 

.582  08  r 


409  1 258 
4099463 
4107653 
4ii  5828 
4123988 


VCK^ 


4140261 
4i4  8374 
4i5  6473 
4i6  4556 
417  2625 
8.4180679 


00-tanf. 


878.5 
876.9 
875.0 
873.3 
871.5 
869.8 
868.1 
866.3 
864.7 
862.8 
861.2 
859.5 
857.8 
856.1 

854-4 

852.8 

85 1.0 

849-4 

847 -b 

846.1 

844-5 

842.8 

84i.a 

839.5 

838.0 

836.3 

834.8 

833.1 

831.5 

83o.o 

828.4 

826.8 

825.2 

823.7 
822.1 
820.5 
819.0 
817.5 
816.0 

814.4 

812.9 

in.! 


II 


II 


II 


II 


II 


II 


II 


II 


:? 


806.9 
8o5.4 


II 


dif.r 


II 


.633  io55 
632  aoi3 
63 1  2991 
6303986 
629  5ooi 
628  6o33 
.627  7085 
6268155 
625  9243 
625  0349 
624  1473 
623  2616 

.022  3777 
621  4955 

63o6i5i 

6197366 
6188597 

6179847 
.617  1114 
6162399 
61 5  3701 
61 4  5o2o 
61 3  6357 
612  7710 
.61 1  9082 
61 1  0470 
610  1875 
6003297 
60847J6 
6076192 
.6067664 

6059154 
6o5o66o 
6042182 
6o3  3721 
602  5276 
.601  6848 
6008436 
6oooo4i 
599  1661 
5983298 
597  4950 
.5966619 
59583o4 
595  0004 
594  1720 
593  3452 
592  5200 
.591  6963 
590  8742 
Soo  o537 
589  2347 

5884172 
5876012 
.5867868 
5859739 
585  i6a6 
584  3527 
583  5444 
58a  7375 
58i  9321 


10.000 


10.000 


10.000 


10.000 


10.000 


10.000 


10.000 


10.000 


10.000 


10.000 


*Mag. 


10.000 


176 

181 

186 

191 

196 

aoi 

206 

211 

216 

321 
226 
23l 

a36 

241 
246 

25l 

256 

261 

266 

271 

276 

28 1 

386 

391 

297 

3o3 

3o7 

3ia 

3i- 

322 
328 

333 
33*^ 
343 
349 
354 
359 

m4 
370 
375 

38o 
386 
391 
396 
4o2 
407 

12 
18 
23 
428 

434 
439 
445 
45o 
456 
46i 

467 
472 

477 
483 
488 


d.r 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.5 

0.6 

0.5 

0.5 

0.5 

0.5 

0.5 

0.6 

0.5 

0.5 

0.5 

0.6 

0.5 

0.5 

0.5 

0.6 

0.5 

0.5 

0.6 

0.5 

0.5 

0.6 

0.5 

0.5 

0.6 

0.5 

0.5 

0.6 

0.5 

0.6 

0.5 

0.6 

0.5 

0.6 

0.5 

0.5 

0.6 

0.5 


eo-ain. 


9.9998824 
8819 
8814 
8809 
8804 
8799 

9.9998704 

8789 
8784 
8779 
8774 
87C9 
9.9998764 
8759 

8754 

8749 
8744 

8739 
9.9998734 
8729 
8724 
8719 

8714 
87OQ 

9.999870J 
8698 
8693 
8688 
8683 
8678 

9.9998672 
8667 
8662 
8657 
865 
8646 

9.9998641 
8636 
863o 
8625 
8620 
8614 

9.9998609 

8604 
8598 
8593 
8588 
8582 
9.9998577 
8572 


|40' 
5o 

4<^ 
3o 

20 
10 

39' 
5o 
4o 
3c) 
20 
10 

mf 

5o 
4o 
3o 
20 
10 
37' 
5ci 
40 
3o 
20 
l(; 

36' 

5o 
4c 
3( 
20 

10 

35' 

5c 

4c: 

3c 
20 

341 
5( 

4< 
3( 

3( 
U 

331 

5< 
^( 
3o 
20 
10 
32' 


co-see. 


m" 


8566 
856i 
8555 
855o 

9-9998544 
8539 
8533 
8528 
8523 
85i7 

9.9998512 


4o 
3 

20 
10 
.31' 
5o 
4< 
3o 
20 
10 
30 


•10 


88<' 


LOGARITHMIC     SINES,     TANGENTS, 


&C. 


167 


1780 


1° 


sin. 


did" 


10 
20 
3o 
40 
5o 
33 
10 
20 
3o 
40 
5o 
34' 
10 
20 
3o 
40 
5o 
35' 
10 
20 
3o 
4o 
5o 
:36 
10 
20 
3o 
40 
5o 
37 
10 
20 
3o 

•40 
5( 

38 
10 
20 
3o 

40 
5o 

:J9 
10 
20 

3o 

40 

5o 

40' 


30' 8.417  9»90 
t  10  4i8  7223 

I  20  419524a 
3o  420  3245 
4o  421  1234 
5o  421  92.08 
31' 8.422  7168 
10  423  5it3 
20  424  3o43 
3o  425  0959 
40  425  8861 
5o  4266748 
32i8.427  462i 

428  2480 

429  o324 
4298154 

430  5971 

43 1  3773 
8.432  i56i 

432  9335 

433  7095 

434  4842 

435  2574 

436  0293 
8-436  7999 

437  5690 

438  3368 

439  io32 

439  8683 

440  632 1 

8.441  3944 

442  i555 
4429152 

443  6736 

444  4307 

445  1 865 
8.445  9409 

446  6940 

447  4459 

448  1964 

448  9456 

449  6936 
8.450  4402 

45i  i856 
45i  9297 
4526725 

453  4i4i 

454  1 543 
8.454  8934 

455  63 II 


co-sec. 


8o3.3 
801.0 
800.5 
798.9 

797-4 
796.0 

794-5 
793.0 
791.6 
790.2 

788-7 
787-3 
785-9 

784-4 
783.0 

781-7 
780-2 
778.8 

777-4 
776.0 

774-7 
773.2 

771.9 

770.6 

769.1 

767-8 

766.4 

765.1 

763.8 

762.3 

761. 1 

759-7 

758.4 

757. 


tang. 


1 1.582  0810 
58 1  2777 
58o4758 
579  6755 
578  8766 
578  0792 

11.577  2832 

576  4887 
575  6957 
5749041 
574  1 1 39 

573  3252 


dif.  1" 


8.4180679 

4I887I7 

419  6741 

420  4750 

421  2745 
4220725 

8.422  8690 

423  6640 
4244576 

425  2498 

426  o4o5 
4268298 


co-tang. 


1 1.572  5379  8.427  6176 


571  7526  4284041 
570  9676  429  189I 
5701846  4299727 

569  4029  43o  7549 

5686227     43 
11.56784398.4323150 


8o3.8 
802.4 
800.0 

799-5 
798.0 
796.5 
795.0 
793.6 
792.2 

790-7 
789.3 
787.8 
786.5 
785.0 
783.6 
782.2 


sec. 


,^3?6P» 


iO.7 


755.8 
754-4 
753-1 
751-9 
75o-5 

749 
748.0 

746-6 
745-4 
744-1 
742-8 
741-6 
740.2 
739.1 
1737-7 

456  36771Z352 

457  1029  3/ 
457  8369':;^l8 


5670665 
566  2905 
565  5 1 58 
564  7426 
563  9707 

11.563  2001 
5624310 
561  6632 
5608968 
560  i3i7 
559  3679 

ii.558  6o56 
557  8445 
557  0848 
556  3264 
555  5693 
5548i35 

11.5540591 
553  3o6o 
552  5541 
55 1  8o36 
55 1  o544 
55o  3o64 


433  0930 
4338696 

434  6448 
4354187 
4361911 

8.436  9622 

437  7320 

438  5oo3 

439  2673 

440  o33o 
440  7973 

8.441  56o3 

442  3219 

443  0822 

443  8412 

444  5989 
4453552 

8.446  iio3 
4468640 
4476164 

448  3675 
4491173 

449  8659 
8.45o6i3i 


458  5697 
8.4593013 
46oo3i6 
4607607 

462  9406  7^^-4 
8-463  6649'^^ 


73i 
730.3 
729.1 
727.9 


co-sin. 


11.5495598 

5488144  4513591 

5480703  452  1038 

547  3275  452  8472 

546  5859  453  5893 

545  8457  454  3302 

1 1.545  1066  8.455  0699 

5443689  4558082 

543  6323  456  5453 

5428971  4572812 

542  1 63 1  458  01 58 

54i43o3  4587492 

11.54069878.4594814^3^; 

5399684  46o2i23;Z_Z 
539  2393 
538  5ii4 
537  7848 
537  0594 

11.536  335i 


779-4 

778-0 

776.6 

775.2 

773.9 

772.4 

771. 1 

769.8 

768.3 

767.0 

765.7 

764.3 

763.0 

761.6 

•760.3 

759.0 

757-7 
7563 

755.1 

753-7 
752.4 
75i-T 

749-8 
748.6 

747.2 
746.0 

744.7 
743.4 
742.1 
740.9 
739.7 
738.3 
737- r 
735-9 
734-6 
733.4 
732.2 


11.581  9321 
58 1  1283 
58o3259 
579  525o 
578  7255 
577  9275 

11.577  i3io 
576  336o 
575  5424 
574  7502 
573  9595 
573  1702 

11.5723824 
571  5959 
5708109 
570  0273 
569  245 1 
568  4644 
11.5676850 
5669070 
566i3o4 
565  3552 
564  581 3 
563  8089 
1 1.563  0378 
562  2680 

5614997 
56o  7327 
559  9670 
559  2027 

11.5584397 
5576781 
5569178 
556  1 588 
5554011 
554  6448 

11.5538897 
553  1 36o 
552  3836 
55i  6325 
55o  8827 
55o  1 34 1 


d.1" 


io.oooi488 

1494 
i5oo 

i5o5] 
i5ii 
1 5 16' 

IO.OOOl522 
1 527 

i533 
1539 

1 544 
i55o 

10.0001 555 
i56i 
1567 
1572 
1578 
1 5841 

10.0001589! 
1595 
1601 
1607 
1612 
1618 

10.0001624 
i63o 
i635 
i64i 

i647 
i653 

io.oooi658 
1664 
1670 
1676 
1682 
1688 

10.0001694 
1699 
1705 
1711 

1717 
1723 


CO- sin. 


1 1.549  386dio.oooi729 
548  6409  1735 


diCl" 


sec. 


729-7 


46o?42ol-g;^ 


461  6705 1 


727.3 


462  3978^;^^^ 

463i238|72-8 

8.463  8486  7=*^-° 


547  8962 
5471528 

5464107 
5456698 

11.5449301 
544  1918 
543  4547 
542  7188 
541  9842 
541  25o8 

11.540  5i86 
539  7877 
539  o58o 
538  3295 
537  6022 
536  8762 

11.536  i5i4 


1741 

1747 
1753 
1759 

10.0001765 
1771 
1777 
1783 
1789 
1795 

io.oooi8oi 
1807 
i8i3 
1819! 
18251 
1832I 

1 0.000 1 838 


co-tang. 


di£l' 


tang. 


0.6 
0.6 
0.5 
0.6 
0.5 
0.6 
0.5 
0.6 

0.6 

0.5 

0.6 

0.5 

0.6 

0.6 

0.5 

0.6 

0-6 

0.5 

0.6 

0.6 

0-6 

0.5 

0.6 

0.6 

0.6 

0.5 

0.6 

0'6 

0'6 

0'5 

0.6 

0.6 

0.6 

0.6 

0-6 

0.6 

0.5 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

06 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 

0.6 


9'99985'2 

85o6 
85oo 

8495 
8489 
8484 
9.9998478 
8473 


8467 
846  T 
8456 
845o 
9.9998445 
8439 
8433 
8428 

8422 

84 16 

9.999841 
^4o5 
8399 
8393 
8388 
8382 

9.9998376 
8370 


30' 
5o 
4o 
3o 
20 
10 
29' 
5o 
4o 
3( 


3o 

2C 

10 

28' 
5o 
40 
3c; 
20 
10 
27' 
5o 
4o 
3{) 
20 
10 
|26' 
5o 
40 
3o 
20 
10 


0.7 
0.6 


co-sec. 


8365 
8359 
8353 

8347 
9.999834^  25' 

8336  " 

833o 

8324 

83i8 

83i2 
9.9998306 

83oi 

8295 

8289 

8283 

8277 
9.999827123' 

8265  ' 

8259 

8253 

8247 
8241 
9.9998235 
8229 
8223 
8217 
821] 
8205 

9.9998199 
8193 

8187 
8181 
8175 
8168 
9.9998162 


d.1" 


5o 
40 
3o 
20 
10 
124' 
5o 
40 
3o 
20 
10 


DO 

4o 

3o 

20 

10 

22' 

5o 

4o 

3o 

20 

10 

21 

5o 

40 

3o 

20 

10 

h20' 


Bin. 


9V 


88^ 


168 


LOGARITHMIC     SINES,     TANGENTS,     <fec . 


1,0 


178^ 


JO 

■ao 
3o 
4o 

5o 

lO 

no 

4« 
5o 


'ii(i* 


4IF|8.463  6649 

464  3879 

465  1097 

465  83u3 

466  5497 

467  2680 

8.467  9S50 
4687009 
4694i5(> 

470  1 291 
4708414 

471  55'j(6 
8.472  2616 

4729714 
4736791 

474  3656 

475  0910 
475  7953 

8.476  4984 

477  2*X>3 

4770012 
478 
479  2994 

47999^9 

8.4tto  6932 

481  3884 

482  0825 

482  7755 

483  4674 

484  1 582 
8.484  847 

485  536 

486  3240 
4869104 

487  5967 

488  2800 
8.488  9632 

489645: 

490  3263 

491  oo63 

491  6852 

492  363o 


;i 


10 

ao 

3t: 

4o 

5o 

43' 

10 

20 

3i' 

4o 

5c: 
44' 

10 

ao 

3o 

4o 

5o 
145 

10 

20 

3o 

4o 

5o 

l§ 
10 

30 

3o 

4o 

5o 

47' 

10 
20 
3o 
4o 
5o 
48' 
10 
20 
3o 
4o 

li'p.Soi  0798 

5oi  7432 


iitl" 


c«-iec 


723.0 
721.8 
720.6 

719-'* 

718.3 

715.9 

714-7 
713.5 
712.3 

7U-2 

710.0 
708.8 

707.7 
706.5 

705.4 
704.3 
70.3.1 
701.9 
700.9 


8 


II 


8 


II 


8.493  o3o8 

493  7 1 55 

494  3902 

495  o638 

495  7364 

496  4079 
8.497  0784 

497  74-7' 
498416 
499  f>838 
499  75oi 
5oo4i55 


10 

20 


3o 
4o 
5o 


;? 


502  4o55 
5o3o668 

503  7271 

504  3864 
8.5o5o447 


CO^IO. 


II 


II 


69-T.5 

093.2 
694.1 
693.0 
691.9 
00.8 
689.7 

688.6 
687.5 
686.4 
685.3 

683.2 
682.1 
681.0 
680.0 
678.9 

677i 
676.8 

675.7 

674.7 
673.6 
672.6 
671.5 
670.5 
669.5 

668.4 
667.5 
666.3 
665.4 
664-3 
663.4 
662,3 
661.3 
660.3 
659.3 
658.3 


diCi" 


II. 


II 


II 


535  61 21 
534  8903 
534  1097 
533  45o3 

533  7320 
.532oi5o 
53i  2991 

53o  5844 
5298709 

Sao  1 586 
528  4474 

.527  7374 
5270286 
5'i6  3209 
SaS  6i44 

5249090 

524  2047 
.523  5oi6|8 

522  7997 
522  0988 

521  3991 
Sao  7006 
5aooo3r 
.5193068 
S186116 
5179175 
5 17  2245 
5 16  5326 
Si5  84i8 
.5i5  i52i 
5i44635 
5137760 
5130896 
5i2  4o43 
5ii  7200 
.5 1 1  o368 

5 10 3547 
5oo  6737 
5o8  9937 
So8  3i48 
5o7  6370 
5069602 
5o6  2845 
5056098 
5o4  9362 
5o4  a636 
5o3  592 1 
5029216 

502  2521 

5oi  5837 
5oo  9162 
5oo  2499 
499  5845 
.498  9202 
4982568 
4975045 
496  9332 
496  2729 
495  6i36 
.494  9553 


tang. 


8 


8 


8 


8 


8 


8 


8 


-463  8486 

464  5723 

465  2947 

466  Of  59 

466  7360 

467  4548 
.468  1725 

468  8890 

469  6c»43 

470  3 1 84 

471  o3i3 
471  743 
.472  4538 

473  1 63  2 
4738715 

474  5787 

475  9847 
47S  989(> 
.476  6933 

477  3959 

478  0974 

478  7977 

479  4969 

480  1950 
.480  8920 

48 1  5878 

482  28^6 

482  9762 

483  6687 

484  36o2 
.485o5o5 

485  7397 
4864279 
487  II 49 

487  8009 

488  4858 
.489  1696 
4898524 

490  5341 

491  2147 

491  8942 

492  5727 

.493  2502 
493  0266 
4946019 
495  2762 
495  9494 
4966216 
.497  2928 
4979629 

498  6320 
4993001 

4999671 
5oo  6332 
.5oi  2982 
5oi  9622 

502  ozSa 

503  2871 
5o3  9481 
5o46o8i 
.5o5  2671 


dif.l" 


CfKtang. 


11 


II 


II 


-  1   II 

723.7 

722.4 

720.1 
718.8 

716.5 

715.3 

7I4.I 
712.9 
711.8 

7io.7[ 

700.4; 

708.3 

707.2! 

706.0 

704.9 

703.7 

702.6 

701. 5 

700.3 

699.2 

698.1 

697.0 

695.8 

694.8 

693.6 

692.5 

691.5 

690.3 

689.2 

688.2 

687.0 

686.0 

684.9 

683.8 

682.8 

681.7 

680.6 

679.5 

678.5 

677.5 

676.4 

675.3 

674.3 

673.2 

672.3 

671.2 

670.1 


.1 
667.0 
666.1 
665.0 
664.0 
663 .0 
661.9 
661.0 
660.0 
659.0 


■ee. 


I  co>tanf. 


•ec. 


II 


II 


diCl" 


II 


If 


II 


II 


536i5i4 
535  4a77 
534  7053 
533  9841 
533  2640 
53a  5452 
.53 1  8275 
53i  II 10 
53o  3957 
5296816 
5289687 
528  2569 
.527  5462 
526  i>368 
526  1 285 
5254213 
5^4  7153 
5a4oio4 
.523  3067 
S22  6o4i 
Sai  9026 
521  aoa3 
520  5o3i 
5 1 9  8o5o 
.SiQ  1080 
5i84ia3 
5177174 
5i7  0238 
5i633i3 
S156398 
.5149495 
5i4  2603 
5i3  5721 
Si2  885i 
S12  1991 
5ii  5i4a 
.5io83o4 
5io 1476 
509  4659 
5o8  7853 
5o8  io58 
5o7  4273 
.5o6  7498 
5060734 
5o5  3981 
5o4  7238 
5o4  o5o6 
5o3  3784 
.5o2  7072 

5o2o37i 
5oi  368o 
5006999 
5oo  0329 
490  3668 
.4987018 
498  0378 
497  3748 
4967129 
4960519 
495  3919 
.494  7329 


10 


10 


10 


10 


10 


10 


10 


10 


10 


10 


10 


.0001 838 

1844 
i85o 
i856 
1862 
1868 

.0001875 
1 881 
1887 
1893 
1899 
1906 

.0001912 
1918 
1924 
1931 
1937 
1943 

.0001950 
1956 
1962 
i960 

1975 

1981 
.0001988 
1994 
2000 
2007 
201 3 
2020 
0002026 

2o32 

2039 
2045 
aoSa 
3o58 

.0003065 
ao7i 
2078 
2084 
3091 
2097 

.0003104 
2111 
2117 
3124 
2i3o 
2i37 

.0002144 
21  So 
2i57 
ai63 
2170 
2177 

.0002183 
2190 
2197 

2203 

2210 

2217 

.0002224 


d.l" 


0.6 
0.6 
0.6 

0.6 

0.6 
0.7 
0.6 
0.6 
0.6 
0.6 
0.7 
0.6 
0.6 
0.6 
0.7 
0.6 
0.6 
0.7 
0.6 
0.6 
0.7 
0.6 
0.6 
0.7 
0.6 
0.6 
0.7 
0.6 
0.7 
0.6 
0.6 
0.7 
0.6 
0.7 
0.6 
0.7 
0.6 
0.7 
0.6 
0.7 
0.6 
0.7 

0.7 
0.6 
0.7 
0.6 
0.7 
0.7 
0.6 


co.#in, 


•  I 


9.999816a 

81 56 
8i5o 

8144 

81 38 

8i3^ 

9.9998125 

8ii3 

8107 
8101 
8004 

9.999808b 
8082 
8076 
8069 
8fi63 
8o57 

9.9998050 
8044 
8o38 
8o3 
8025 
8019 

9.999801 2 
8006 
8000 
7993 

7987 
7980 

9-9997974 

7968 


t*nf. 


co-iec. 


0.7 
0.6 
0.7 
0.7 
0.6 
0.7 
0.7 
0.6 
0.7 
0.7 
0.7 


d.1" 


7961 
7955 
7948 
7942 

9.9997935 
7929 
7922 
7916 
7900 
70o3 

9.9997896 
7889 


788 
7876 
7870 
7863 
9.9997866 
7860 


7843 

7837 
783o 

7823 

9.9997817 

7810 
7803 

7797 
7700 

7783 
9-9997776 


■in. 


2<H 
5( 
4o 
3c 

2C 

ic 
I!.' 
So 
4c. 
3( 

2C 
IC 

!8' 
5o 
4o 
3o 
20 
10 
17' 
So 
40 
3o 
20 
10 
16' 
So 
4o 
3c 
20 
10 
J5' 
So 
4o 
3o 
20 
10 
14' 
So 
4o 
3o 
20 
10 

So 
4o 
3o 
20 
10 
12' 
5o 
4o 
3o 
20 
10 
11' 
5o 
4o 
3o 
20 

K) 

10 


880 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


169 


10 


1780 


50' 
10 
20 
3o 

4o 

So 

.51' 

10 

ao 

3o 

4o 

So 

52 

10 

20 

3o 

40 

So 

53' 

10 

20 

3o 

40 

So 

54' 

10 

20 

3o 

40 

So 

55' 

10 

20 

3o 

4o 

5o 

56' 

10 

20 

3o 

40 

So 

57 

10 

20 

3o 

40 

So 

58' 

10 

20 

3o 

40 

5o 

59' 

10 

20 

3o 

40 

So 

60' 


8.So5  o447 

505  7020 

506  3583 

507  o  1 36 


sin. 


507667 

So8  32 


]l 


dif.  1" 


co-sec. 


657.3 
656.3 
655.3 
654.3 
6S3.4 
8-5«8?736|^^2.3 

c'*' '^5^649-4 
5ii5733|g,    5 

5l2  2208^';/  c 

5^41575  643  6 
Si4  8oii6. 
SiS4438^j,Z 
Si6o8S6;^j^-^ 

8.61672641^0    'o 

61-7  3662 1"^9-^ 
^Z  ^1638.0 
5i8oo5iL:oo^ 

Si8  643iK°-^ 

r      o     OJ7.O 

^>9  2801  63^^ 
S199162 

8.520  55i4 
5a  1  1 856 
5ai8i8o 

522  4Si3 
Sa3  0828 

523  7133 
86243430 

6249717 
SaS  6996 
626  2264 

526  8624 

527  4775 
8.628  1017 

628  7260 

629  3474 
S29  9689 
53°  5895  6  8 

532  446i 

533  o632 
5336794 

534  2948 
5349092 

8.535  5228 
536  i356 


tang. 


635.2 
634.2 
633.3 
632.4 
63 1.5 
63o.5 
629.7 
628^7 
627.8 
626.9 
626.0 
626.1 
624.2 
623.3 
622.4 
621.5 
620.6 


618.0 
617.1 
616.2 
6i5.4 
614.4 
6i3.6 
612.8 

.--  -  .6u.8 

536  7474  6 

537  3586^  '• 

537  f  86,6^  3 

538  5779  6o8  4 
8.5391863^^-^ 

??  7^9  6^-8 
54o  4007 ^~c 

S4ioo66  2!c'9 
5416116^^.0 

542  2i58X°t^, 
8.54281921^^-4 


1 1 .494  9553 
494  2980 

4936417 
492  9864 
492  3321 
491  6787 
11.491  0264 
490  37S0 
489  7246 
489  07  5  2 
488  4267 

487  7792 
11.487  i327 

4864871 

485  8425 

486  1989 
484  5562 
4839144 

11.483  2736 
48a  6338 
4Bi  9949 
48 1  3569 
4807199 
480  o838 

1 1 .479  4486 
4788144 
478  1811 

477  5487 
476  9172 
476  2867 
1 1 .475  6S70 
47S  0283 
474  4oo5 
473  7736 

473  1476 
472  S22S 

11.471  8983 
471  27S0 
470  6526 
47003 11 
4694105 
468  7907 

11.468  1719 

467  553 
466  o36 
466  3206 
465  7062 
465  0908 

1 1 .464  4772 
463  8644 
463  2626 
4626416 
462  o3i4 
461  4221 

11.4608137 
460  2061 
459  S993 
458  9934 

468  3884 
4S7  7842 

11.457  1808 


dif.l" 


CO- tang. 


II 


II 


II 


II 


co-sin.   diC  I' 


8.5o5  2671  ^r^  .  II 

505  9250 

506  5820 

507  238o 

507  893© 

508  5470 

8.609  "^^^^ 

5098521 

Sio  5o32 

Sii  1 533 

5ii  8025 

5i2  4S06 
8.5i3  0978 

5i3  744i 

S 143894 

5i5o337 
Si  5  6771 
5163195 
8.S169610 
6176016 
5r8  2412 
S188798 
S19S17S 

520  1S43 
8.520  7902 

521  4251 

522  0S91 

522  6922 

523  3244 
523  9S67 

8.S24  586o 
626  21 64 
525  8439 
S264716 
S27  0983 

527  7:^41 
8.528  3490 

528  973o 

529  5961 

530  2 1 83 
53o  8397 
53i  4601 

8.532  0797 
5326984 
5333162 
633  9331 

534  5492 

535  1644 
8.535  7787 

5363922 
537  oo48 

537  6i65 

538  2274 
538  8374  6^  3 

8.639  4466,^-^ 
64o  0649  60  5 
54o6624|^-i 

li'  R  ?S6o6.8 

642  4797  6o4  I 
8.543  o838^^ 


667-9 

667.0 

656.0 

656.0 

654-0 

653.1 

662.0 

661.1 

65o.i 

649.2 

648.1 

647-2 

646.3 

646.3 

644.3 

643.4 

642-4 

64i.S 

|64o.6 

639.6 

638.6 

637.7 

636.8 

636-9 

634-9 

634.0 

633.1 

632.2 

631.3 
630.3 
629.4 
628.5 
627.7 
6a6.7 
6a5.8 
624.9 
624.0 
623.1 
623.2 
621.4 
620.4 
619.6 

618.7 
617.8 
616.9 
616.1 
61S.2 
6i4-3 
6i3.S 
612.6 
611.7 
610.9 
610.0 


sec 


d.l 


II 


IT 


sec. 


II 


II 


II 


co-tang. 


di£l" 


.494  7329 
494  07S0 
4934180 
492  7620 
492  1070 

491  453o 

.4907999 
490  1 479 
4894968 

488  8467 
488  1975 
487  5494I 
.486  9022 
486  2SS9 
485  6106 
484  0663 
4843229 
483  680 
.483  0390 
482  3984 
481  7588 
481  1202 
480  4825 
479  8457 
.479  2098 
478  5749 

477  9409 
477  3078 

476  6756 

476  o443 

.475  4 1 40 

474  7846 

474  1S61 

473  5284 

4729017 

472  2759 

.471  65io 

471  0270 

470  4o39 

4697817 
469  i6o3 
468  5399 
.467  9203 

467  3oi6 
4666838 
4660669 
465  45o8 
464  8356 

.^^  22l3 

463  6078 
462  9962 
462  3835 
461  7726 
461  1626 
.460  6634 
4699451 
459  3376 
4587310 

468  1262 
467  62o3 
.4669162 


10 


10 


.0002224 

223o 

2237 
2244 
2261 
2267 
.0002264 
2271 
2278 

2285 


>/ 


10 


10 


10 


10 


10 


10 


10 


10 


II 


tans. 


10 


2292 
2298 

.ooo23o5 

23l2 

2319 
2326 
2333 
234o 

.0002347 
2354 
a36o 
2367 
2374 
238i 

.0002388 
2395 
2402 
2409 
2416 
2423 

.0002430 
2437 
2445 
2452 
2459 
2460 

,0002473 
2480 
2487 
2494 
2S01 
25o9 

.0002616 
2S23 
253o 
2537 
2544 

2552 

.0002559 
2566 
2573 
2S81 
2588 
2595 

.0002602 
2610 
2617 
2624 
2632 
2639 

,0002646 


0.6 

0.7 

0.7 

0.7 

0.6 

0.7 

0.7 

0.7 

0.7 

0.7 

0.6 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.6 

0.7 

0-7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.8 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.7 

0.8 

0.7 

0.7 

0.7 

0.7 

0.7 

0.8 

0.7 

0,7 

0.7 

0.8 

0.7 

0.7 

0.7 

0.8 

0.7 

0.7 

0.8 

0.7 

0.7 


9.9997776 

7770 


dMiin. 


7763 
7756 

7749 
7743 

9.9997736 

7729 
7722 
7715 
7708 
7702 
9.9997 


co-sec. 


d.l" 


10' 

So 

40 

3o 

20 

10 

D' 

So 

40 

3o 

20 

10 

8 

So 

7681J40 

76741  3o 

20 

10 

7' 

So 

4o 

3o 

20 

10 

6' 

So 

4o 

3o 

20 

lo 

5' 

So 

4o 

3o 

20 

10 

4' 

So 

4o 

3o 

20 

10 

3' 

So 

4o 

3o 

20 

10 

2' 

So 

4o 

3o 

20 

10 

1 

So 
4o 
3o 
20 
10 
0' 


7667 

7660 

9.9997653 

7646 
7640 
7633 
7626 

7619 
9.9997612 

7605 

7598 
759 

7S84 

7S77 

9.9997S70 
7563 
7555 
7548 
7541 
7S34 

9.9997S27 
7620 
761 3 
7606 

7499 

749' 

9.9997484 

7477 
7470 
7463 
7456 
7448 

9.9997441 
7434 
7427 
7419 
7412 
74o5 

9.999739b 
7390 
7383 
7376 
7368 
7361 

9.9997354 


ain. 


91° 


880 


22^ 


170 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


\ 


i; 


\ 


2° 


1770 


■in. 


8 


8 


8 


8 


8 


0* 

I  10 

ao 
i3o 
^40 

5o 

1' 
1 10 
■  w 

3o 

% 
W 
10 

3o 
4o 

5o 

3' 

10 

>o 
3o 
4tt 

4' 

10 

20 

3o 

4o 

5' 
10 

30 

3o 

4o 

So 

e'  B 

to 
so 

3o 

4o 

5o 

7' 

10 

30 

3o 

4o 

5o 

& 

10 

30 

3o 

4o 

Qf 
10 
20 
3o 
4o 
5o 
10' 


dici" 


CCMvOC* 


.5428193 
5434217 

544  oa34 
544624? 

545  aa43 
545  8234 

'.546  42 

5470194 

5476161 

548  2 1 10 

5488071 

5494013 
.549  9948 

55o  5874' 

55i  179312' -y 

55i77o3!^'-« 

309.4 
588-7 


602.5 
601.7 
600.8 

597.6 
596.7 
595.9 
595.1 
594.2 

1/9*^  •** 
592.6 
591 .9 


587.8 
587.0 


8 


578.4 

577-7 


6 


8 


552  94 

554     1264 

303  2997  CQC  4 

555  8851^°^-^ 

5564698!^°t« 
557o536;^°^-^ 

557  6367^^fi 
5582190!^°^-^ 

558  8oo5  ;2!  R 

559  3813^-^ 
55? 96.2  579-9 

.56o  54o4  ^^'^ 

56i  1188 

56i  6d>5  r^  ^ 

562  2734^2? 
56284953^1 

563  4248  ^Z^-^ 

■5639994^8 

564  5732|^73.« 

565  1463?!^-^ 
565  7i86,2Z!l 

568  (xx)4  c^  c 

568  5689  S   a 
569'367]^^.8 

^o^?'566:3 

370  2701   c^c  fy 

570  8357^-^ 

571  4006  ?^  ? 

571  9647i2ti 

572  5281  ^I't 

573  0908  ^I'l 

573  6527^  •? 
.574  2139^-^ 

574  7744  fr 

575334.^^9-7 


tMltg. 


8 


575  8932  ^^^^ 

5764515  cc_g 

5770091  „Z-   4229909 

577  5660^^^*9  1 1.422  4340  8 


11.45718088 
456  5783 
455  076^ 
455  3756 
454  7757 
4541766 

11.453578a 
452 
452 

45 1  7880 
45 1  1939 
4505967 

ii45o  00538 
4494126 
448  8207 
448  2297 
447  6395 
447o5oi 

ii44646i4  8 
4458736 
4452866 
4447003 

444  1149 
443  53o2 

1144294648 
442  3633 
44i  7810 
44 1  1995 
4406187 
44o  o388 

11.43945968 
438  8812 
438  3o35 
437  7266 
437  1 5o5 
436  5752 

ii436ooo6  8 
435  4268 
4348537 
4342814 
433  7098 
433  1390 

1 1 .432  5690  8 
4319996 
43i  43n 
43o8633 
43o  2962 
429  7299! 

11.429  16438 
428  5g94 
428  o353 

4274719 
4269092 

426  3473 
11.42578618 

425  2256 

4246659 
4241068 

423  5485 


co-sin.      dl£l" 


sec. 


.543o838 
5436871 

5442895 
544  891 1 

5454918 

546c>9i8 
.546  6039 
547  2892 
5478866 
5484833 
5490791 
5496741 
■.55o  2683 
5508617 

55 1  4543 

552  0461 

552  637 1 

553  2272 
.5538166 

554  4o52 

554  9930 

555  5800 

556  1662 

556  751 6 
.557  3362 

557  9201 

558  5o3i 

559  o854 
5596669 

560  2476 
.5608376 
56i4o68 
56i  o852 
5625628 
563  1397 

563  7158 
.564  591 2 

564  8658 
5654396 
5660127 

566  5851 

567  i566 
.567  7275 

568  2976 
5688669 
5694355 
570  oo34 

570  5705 
.571' 1 3681 

571  7025! 

572  3674 
5728316 

573  395o| 

5739577 
■5745197 
5750810' 
5756416 
576  201 4 
5767605 
5773189 
.5778766 


diCl" 


6o3.3 

602.4 

6oi.6 

600.7 

600.0I 

599.1 

598.3 

597.4 

596.7 

595.8 

595.0 

594 

593.4 

592.6 

591.8 

591.0 

590.1 

589.4 

588/> 

587il 
587.0 
586.2 
585.4 
584.6 
583.9 
583.0 
582.3 
581.5 
580.7 
58o.o 
579.2 

578.4 
577-6 
576.9 
576.1 
5754 
574.6 
573.8 
573.1 
572.4 
571.5 
5-0.9 
570.1 
3 
6 

567.9 
567-1 
566.3 

565.7 

564.9i 
564.2 

563.4 
562.7 
5^i2.o 
561.3 
56o.6 
559.8 
559.1 

5584 

557.7 


CO- tang.     di£l" 


CO- tang. 


II 


II 


II 


II 


II 


II 


II 


II 


II 


II 


II 


4569162 

456  3120 
455  7105 
455  1089 
4545082 
453  0082 
.453  3091 
4527106 
452  II 34 
45i  5167 
4509209 
45o  J259 

.4497317 
4491383 
448  5457 
447  9539 
447  3629 
446  7728 
.446  i834 
4455948 
4450070 
444  4200 
443  8338 
443  2484 
.442  6638 
442  0799 

44f  4^1^ 
4409146 
44o  333 1 
439  75a4 
439  1724 
438  5932 
438oi48 
437  4372 
436  86o3 
436  2842 
.435  7088 
435  1 342 
4345604 
4339873 
4334149 

432  8434 
.432  2725 
43 1  7024 
43i  i33i 
43o  5645 
4299966 
4294395 
.428  8632 
428  2975 
427  7326 
427  1684 
426  6o5o 
426  0423 
.425  48o3 
4249190 
424  3584 
423  7986 
423  2395 
4226811 

433  1334 


tang. 


■«c. 


10.0002646 

2654 
3661 
2669 
J676 
3683 

10.0002691 
3696 
3706 
3713 
3730 
3728 

10.0002735 
3743 
3750 
2758 
2765 
2773 

10.0002780 
2788 
•2796 
2803 
2811 
3818 

10.0002826 
2833 
2841 
2849 
3856 
2864 

10.0002872 
3879 

3887 
3895 
2902 
2910 

10.000291 8 
•  3925 
2933 
7^1 
3949 
2966 

10.0002964 

297^ 
2980 
2988 
2995 
3oo3 
io.ooo3on 
3oi9 

3o27 

3o35 
3o43 
3o5o 

io-ooo3o58 
3o66 
3o74 
3082 
3090 
3098 

io.ooo3io6 


CO-MC. 


d.!" 


0.8 
O17 

0.8 
0.7 
0.7 
0.8 
0.7 
0.8 
0.7 
0.7 
0.8 
0.7 
0.8 

0.7 
08 
0.7 
o«o 
0.7 
V.8 
o4J 
0.7 
a8 

0-7 
0.8 

0-7 
0.8 
0.8 
0.7 
0.8 
0.8 

0.7 

0.8 
0.8 
0.7 
0.8 
0.8 
0.7 
0.8 
0.8 
08 
0.7 
0.8 
0.8 
0.8 
0.8 
0.7 
0.8 
0.8 
0.8 
0.8 
0.8 
0.8 
0.7 
0.8 
0-8 
0.8 
0.8 
0.8 
0.8 
0.8 


d.l" 


co-4iin. 


9-9997354 
7346 


7339  4o 

"'  30 

20 

10 


7331 

7324 
7317 
91999730959 
7302  5o 

7294  4o 
7287  3o 
7280  20 
7272  10 

9-9997265  58 
7257  5o 
72 5()  4o 
724^  3o 
7235  20 
7227  10 

9-999722057' 
7212  5o 
72c4  4o 

7197 
7189 
7182 

^9997174 

7107 
7159 
7i5i 

7144 

7i36 
9.999^128 

7121 

7ii3 

7io5 

7098 

7090 
9-9997082 

7075 

7067 

7059 

705 1 

7044 
S^9997o36 

7028 

7020 

7012 

7oo5 

6997 
9.9996989 

6981 

6973 

6965 

6957 

695<3 
9.9996942 

6934 

6926 

6918 

6910 

6902 
9.9996894 


GO 
5o 


BUI. 


3o 

20 

10 
56' 

5o 
4o 
3o 
20 
10 
55' 
5o 
40 
3o 
20 
10 
54 
5o 
4o 
3o 
20 
10 
>3' 
5o 
40 
3o 
20 
ro 
52' 
5o 
4o 
3o 
20 
10 
51 
5o 
4o 
3o 
20 
10 
50' 


«3® 


870 


«F 


LOGARITHMIC     SINES,     TANGENTS, 


&C 


171 


3|o 


1770 


10' 
10 
20 
3o 

4o 
5o 
11' 

10 

30 

3o 

40 

5o 

12* 

10 

20 

3o 

4o 

5o 

13' 

10 

20 

3o 

40 

5o 

14' 

10 

20 

3o 

40 

5o 

15' 

10 

20 

3o 

40 

5o 

16* 

10 

20 

3o 

4o 

5o 

17» 

10 

20 

3o 

40 

5o 

18 

10 

20 

3o 

40 

5o 

19 

10 

20 

3o 

4o 

5o 

20' 


8.577  566o 


gtn. 


di£  r 


co-sec 


tang: 


556-1 
555.5 


578  1221 
5786776554:; 

^^''«aJ554.« 
5?9  7864  553  J 


552.6 
551.9 
55i.2 
550.6 
549-8 

549.1 

5484 
547-8 
5470 
546.4 
545.6 
545.0 
544.3 
543.6 
543.0 
542.2 
541.6 
540.9 
540.2 


II 


580  3397 

8.58o  8923 

58 1  4442 

58 1  0954 

582  5460 

583  0958 

583  6449 
8.584  1933 

584  74 1 1 

585  2881 

585  8545 

586  38oi 
5869251 

8.587  4694 
588oi3o 

588  556o 

589  0982 
5896398 

590  1807 
8.590  7201 

591  26o5|53^g 

591  79941538:2 

592  3376  53  5 

^9^8751535 

593  4120  535  J 
8.593  9483  5353 

534.Q 
5343; 
533.5 


[i 


8 


II 


M¥. 


II 


8 


II 


II 


594  4838 
5950187 

595  553o 
596o865|^^3;j 
5966i95|532., 

8.5971517:53.  - 

597  6834,^^^-^ 

598214353    ? 

5987446:^^^-; 

599^7435,5.^ 

5998033,5,^4 

8.6oo33i7jc.,_  a 
6008595^^7-8 

6ot  3866^^^-^ 
^'  9'3o5  5  8 
602  4388  ^"  ° 
6029640 
8.60348865,3 
60401255,3  J 
6o4  5357  c.^' 
6o5o584'r     " 


525.2 

524.6 


1 1 


42243408 
421  8779 
421  3224 
420  7677 
420  2 1 36 
4196603 
.4191077 
4i8  5558 
4180046 
4174540 
4169042 
4i6  355i 
4i5  8o67 
4i5  2589 

4147H9 
4i4  i655 
4i3  6i99 
4i3o749 
.412  53o6 
4ii  9870 
4ii  4440 
4io  9018 
4io36o9 
4098193 
.409  2791 
4o8  7395 
4o8  2oc6 
407  6624 
407  1249 
4o6  588o 
.4o6o5i7 
4o5  5 162 
^io4  98I3 
4o4  4470 
4o3  9135 
4o3  38o5 
.402  8483 
4o2  3i66 
4oi  7857 
4of  2554 
4oo  7257 
4oo  1967I 


diCl" 


556-9 
556.3 
555.5 

554.8 
554.2 

5534 

552.7 
552.0 


8 


.577  8766 
578  4335 

578  9898 

579  5453 

580  looi 

580  6543 

58 1  2077 

58 1  7604 

582  3124  cr,  / 

582  863e^fc2!^-2 

583  4i4^ 
583  9643 
.584  5 1 36 
585  0621 

585  6100 

586  1571 

586  7o36 

587  2494 

587  7945 

588  3389 

588  8897 

589  4258 

589  9682 

590  3099 
.591  o5o9 

591  5913 

592  1 3 10 
5926701 

593  2o85 
593  7462 
.594  2832 
5948106 


co-tang. 


8 


8 


II 


II 


605  58o4 

606  1018 
8.6066226 

607  1427 
6076622 

608  181 1 
60869945 
6092171  -^'/•/ 

8.609  7341 


22.0 
521.4 
520.8 
5  20. 1 
519.5 
5i8. 
5i8 


co-sin. 


517.0 


dif.l' 


II 


II 


3996683 

399  i4o5 

3986134 
398  0870 
397  56 1 2 
397  o36o 
.396  5if4 
395  9875 
395  4643 
3949416 
3944196 
393  8982 
.393  3774 
392  8573 
392  3378 
391  8189 
391  3oo6 
390  7829 
390  2659 


8 


8 


8 


8 


sec. 


595  3553 

595  8904 

596  4248 
596  9586 

,5974917 
5980341 

598  5559 

5990871 

5996176 

600  1475 
.600  6767 

601  2o53 

601  7332 

602  2605 

602  7872 

603  3 1 32 
.6o3  8386 

604  3633 

604  8875 

605  4iio 

605  9338 

606  456 1 
.606  9777 
6074987 
6080190 

608  5388 
6090579 

609  5764 
.610  0943 


549.9 
549.3 
548.5 

547.9 
547.1 
546.5 
545.8 
545.1 
5444 
543.8 
543.1 
542,4 

541.7 
541.0 

540.4 

539.7 

539.1 

5384 

537.7 
537.0 

5364 
535.7 
535.1 

5344 
533.8 
533-1 

5324 
53 1. 8 
53i.2 


sec. 


d.1' 


530.5 
529.9' 
529.2 
528.6 
527.9 
527.3 
526.7 
526.0 
5254 
524.7 

524-2 

523.5 

522.8 
522.3 

521.6 

52 1. o 

520.3 
519.8 
519.1 
5i8.5 
517.9 


co-tang. 


1 1422  1234 
421  5665 

421  0I03 

420  4547 
4198999 
419  3457 

II4I87923 
4i8  2396 
4176876 
417  i362 
4 16  5856 
4i6  o357 

ii.4i5  4864 

4149379 
4i4  3900 
4i3  8429 
4x3  2964 
4i2  7306 

11.412  2o55 
4116611 
4ii  1173 
4105742 
4ioo3i8 
4094901 

11.4089491 
4o8  4087 
4078690 
407  3299 
4o6  7913 
4o6  2538 

11.4057168 
4o5  1804 
4o4  6447 
4o4  1096 
4o3  5732 

^^3o4i4 
11.402  5o83 
4oi  9759 
4oi  444i 
4009129 
4oo  §824 
3998525 
11.3993233 
398  7947 
3982668 
397  7395 
397  2 1 28 
3966868 
11.396  i6i4 
395  6367 

395  1 1  25 

394  5890 
394  0662 
393  5439 

11.393  02  23 
392  5oi3 
391  9810 
391  4612 
3909421 
390  4236 

1 1 .389  9057 


di£l" 


io.ooo3io6 
3ii4 

3l22 

3i3o 
3i38 
3i46 
io.ooo3i54 
3162 
3170 
3178 
3i86 
3194 

I0.0O032O2 
32IO 

3218 

3227 
3235 

3243 

io.ooo325i 
3259 
3267 
3276 

3284 
3292 

io.ooo33oo 
33o8 
33i7 
3325 
3333 
3341 

io.ooo335o 
3358 
3366 
3374 
3383 
3391 

[0.0003399 
3408 
3416 
3424 
3433 

3441 
io.ooo345o 
3458 
3466 
3475 
3483 
3492 
io.ooo35oo 
3509 
35i7 
3526 
3534 
3543 
io.ooo355i 
356o 
3568 

3577 
3585 

3594 
io.ooo36o2 


CO-HUI. 


0.8 

0.8 
0.8 
0.8 
0.8 
0.8 
0.8 
0.8 
0.8 
0.8 
0.8 
0.8 
0.8 
0.8 

0.8 

0.8 
0.8 
0.8 
0.8 
0.9 
0.8 
0.8 
0.8 
0.8 

0.9 
0.8 
0.8 
0.8 

0.9 

0.8 
0.8 
0.8 


9.9996894 

6886 
6878 
6870 
6862 

6854 

9.9996846 

6838 


683o 
6822 

68i4 
6806 
9.9996798 
6790 
6782 

6773 
6765 

6757 
9.9996749 
6741 
6733 
6724 
6716 
6708 
9.99967<x) 
6693 
6683 
6675 
6667 
6659 
9.9996650 
6642 


0.9 
0.8 
0.8 
0.9 
0.8 
0.8 


6634 
6626I 
6617 
6609 
9.999660 
6592 
6584 
6576 
6567 
6559 
^■9  9.9996550 
6542 


0.8 
0.8 


taug. 


co-sec. 


0.9 
0.8 

li 

0-9 
0.8 

0.9 
0.8 

0.9 

0.8 

0.9 

0.8 

0.9 

0.8 


6534 
6525 
65i7 
65o8 
9.9996500 
6491 


50' 
5o 
40 
3o 
20 
10 
4^ 
5o 
40 
3o 
20 
10 
48' 
5o 
40 
3o 
20 
10 
47' 
5o 
40 
3o 
20 
10 
46 
5o 
4o 
3o 
20 
10 
45' 
5o 
40 
3o 
20 
10 
44' 
5o 
4o 
3o 
20 
10 
43' 
5o 
40 
3o 
30 
10 
42' 
5o 
4o 
3o 
20 


6483 

6474 

6466 

6457  »„ 
9.9996449  41' 

644o 

6432 

6423 

64i5 

64o6 
9.9996398 


d.r 


Hin. 


10 


5o 
40 
3o 
20 
10 
40' 


920 


87^ 


10 

ao 
4o 


» 8-609 7341  =,«  J" 
■-    6ioa5o5c  ?«t 
6107663  5  5^ 

«'■  796'!|  to 

612  3ioi  c,.;  / 

6i3  336a5[3-^ 
61 3  84B4  c,  ,'c 


172 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


«<» 


1TT° 


10 

ao 
3« 
4o 
5o 
22' 
It) 

KO 

3t 
4o 


■iii« 


dif.  1"       etHiec. 


tang< 


.390  265o 


8.6100943 


61061 16 
6ii  1983 


6148709  c  '". 

6.5  38i2^'Ji 
8.6i5  89io3^ 

6164OOI   c^"^ 

6160087? 
i  ..^TTfiA  507.9 

<il7  4luO  r         /! 

1;,-!!  /   507.4 
6i7  9^4oc^:! 

6.8  4307  2^-^ 
W«-6«8  9369^:6 

6194425    C^C    „ 

620  9557  L3  3 

8.621  9610- „  ; 
622  4637i^f  1 
6229652:^-^ 
6234661;^°^? 

624  4662H99-8 
8.624  9653,  W' 

625  9620.^^^  ' 

626  45o4|J97-4 

ii  ^'^?r  49^:4 


7898 
2981 


10 

ao 
So 

4o 
5o 

M' 

•■ni 

fO 

20 

3o 

5t> 

%' 
10 

30 

3c; 


5o 
%' 
10 
ao 
3o 
4o 
5o 
•7 
10 
ao 
3o 
4o 
5o 
'38' 
10 
ao 
3o 
4o 
5o 
•2iJ' 
10 
ao 
3o 
40 
5o 


30* 


627  4527J 


495.7 


8.6a7  9484  ]^5'- 


389  7495 

389  2337 

388  7i85 

388  2039 

3876899 

.387  1765 

3866638 

386  1 5 16 

385  640I 

385  1291 

384  6188 
11.384  1090 

383  5999 

383  091 3 

382  5834 

3820760 

38i 
ii.38i  06 

38o  5579 

38oo5»5 

3795481 

379  0443 

378541 1 
11.3780384 

377  5363 

377  o348 

376  5339 

376  o336 

375  5338 
11.3750347 

374  536 1 

374  o38o 

373  54o6 

373  0437J  627  3463 

37a  5473'  627  8435 
n.372  o5 168.628  3405 


iiir.  I ' 


5i7 

5 1 6.7 

A..  «/^2  5i6.o 

611  6443  r,  re 
612.598^^-^ 

6i.6746jr^i^ 

8.6131889'c  t« 
6i3  7025|^  :^-^ 

6i4ai55r:J-5 

^1^5^:8 

6«5  23975 
6157500'^;-^ 

616  7716 

617  2810 
61778 
616  2 

6188657 
8.6193127 

619  81 92 

620  325 1 
62o83o4 

621  335 I 

621  8392 
8.622  3427 

622  8457 

623  3480 
623849B 
6a4  35i  I 
6248517 

8.6a5  35c8 

625  85  r  3 

626  35o2 
6268485 


co-ttm;. 


11 


-4 
5o8.8 
5o8.3 
507.6 
507.0 
5o6.5 
5o5.9 
5o5.3 
504.7 
5o4.i 
5o3.5 
5o3.o 
5o2.3 
5oi,8 
5oi  .3 
5oo.6 
5oo.i 
4995 

498-9 
498.3 


494-6 


1 1 


6a8  4436j 
62893821,  . 

8.6309111 2^ /^ii 

63i4029'j9-^ 

63 1  Sgi'i.f^'^ 

632  3849  9^'^ 

632  875oi^2;!^ 

633  3646;^^9;' 

8.633  8537  ^QQc 

634  34a2  j88-5j 
634830I  j°7?i 

635  3i75JJ^-2l 

635  8043  ^^^^ 

636  2906 
8.636  7764 

637  2616 

637  7463 

638  23o4 

638  7i4o 

639  1971 
8.639  6796 


I 


eo-iin. 


486.3 
485.8 
485.2 

484-7 
484-1 
483.6 

483.1 
482.5 


371  5564 
371  0618 
3705677 
370  0742 
3695813 
36q  0889 
368  5971 
368  io58 
367  61 5 1 
367  1 25o 
366  6354 
.366  1463 
365  6578 
365  1699 
364  6825 
364  1957 
363  7094 


497-8 
497 

49^1-7 
496. 1 
495.5 
495.0 

494' 
493.Q 
493.3 


II 


II 


II 


II 


819C'« 


II 


628  8363 

629  33 1 8 
6298268 
63o32ii 

630  8 1 5o 
8.63i3o83,^_, 

63i  8oioiJ9^-7 

632  7848i5^, ;; 

633  27581  j^'o 

633  7663  j9«-^ 
8.634  2563,X° 

634  7457l'»®9-^ 


635  2345 


488.8 


TI 


363  7094  636  6978 ^"^'^ 
363  2236.8.637  1845  "Joa"^ 


II 


diCl" 


362  7384 
362  2537 
36i  7696 
36 1  2860 
36o  8029 
.36o  3 204 

Me. 


.{86.1 
485.6 
485.0 

639  1 257  ^ot^ 

639  6097  jo  t^ 

8.640093.  ^^^-^ 


637  6706 

638  1 562 
638  64.2 


eo-tang. 


diCl" 


II 


II 


II 


II 


II 


.389  9057 
38o3884 
388  8717 
388  3557 
387  84o2 
387  3254 
.3868m 
386  2975 
385  7845 
385  272. 
384  7603 
384  2491 
.383  7384 
383  2284 
382  7190 
382  21 09 
38 1  7019 
38 1  .94^ 
.3806873 
3801808 
3796749 
379  1696 
378  6649 
378  1608 
.377  6573 
377  .543 
376  6520 
376  i5o2 
375  6489 
375  1 483 
.374  6482 
374  1487 
373  6498 
373  i5f5 
372  6537 
372  1 565 
.371  6598 
371  1637 
3706682 
370  1732 
3696789 
369  i85o 
.3686917 
368  1990 
367  7069 
367  21 52 
366  7242 
366  2337 
.365  7437 
365  ?543 
364  7655 
364  277a 
363  7894 
363  3o2a 
.3628155 
362  3294 
36.  8438 
36i  3588 
36o  8743 
36o  3903 
.359  9069 

tang. 


io.ooo36o2 
36.1 
36ao 
3628 
3637 
3645 

io.ooo3654 
3663 
3671 
368o 
3689 
3697 

10.0003706 
3715 
3793 
3732 

3741 
3750 
io.ooo3758 
3767 
3776 
3785 

3794 
38oa 
io.ooo38n 
3820 
3829 
3838 

3847 
3855 

io.ooo3864 
3873 
3882 
3891 
3900 
3909 

10.0003918 
3927 
3936 
3945 
3954 
3963 

10.0003972 
3981 
3990 

4008 

4017 

10.0004026 

4o35 

4o44 
4o53 
4062 

4071 

io.ooo4o8i 

4090 

t^ 

4117 

4126 

io.ooo4i35 


d.l'' 


co-sin. 


0.9 
0.9 
0.8 

0.8 
0.9 
0.9 
0.8 
0.9 
0.9 
0.8 
0.9 
0.9 
O.S 
0.9 
0.9 

0.8 
0.9 
0.9 
0.9 
O. 


CO-MC. 


I 


9.9996398 

63«9 
638o 
6372 
6363 
6355 
9.9996346 
6337 


5o 
4o 
3o 
20 
10 

5o 


o. 

0.9 

0.9 

0.9 

0.9 

0.9 

0.8 

0.9 

0.9 

0.9 

0.9 

0.9 

0.9 

0.9 

0.9 

o. 

o. 

0.9 

0.9 

0.9 

0.9 

0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 
0.9 

0.9 
0.9 

I.O 

0.9 

0.9 

0.9 

0.9 
0.9 
0.9 


d.l" 


63.?  9  40 
6320  3o 
63 1 1  20 
63o3  10 

9-99962943^ 
6285  5o 
6277  4o 
6268  3u 
6259  20 
6250  lu 

9.9996242  '.M 
6233  5o 
6224  4o 
62 1 5  3o 
6206  20 
6198  10 

9.9996.89  :ms' 
6180  5o 
6171  40 
6162  3o 
61 53  20 
6r45  10 

9.99961 36  3'> 
6127  5o 
61 18  4o 
6109  3o 
6100  20 
6091  10 

9.9996082  34 
6073  5o 
6of)4  4o 
6o55  3o 
6o46  20 
6o37  10 

9.9996028  3:i 
6019  5o 
6010  4o 
6001  3o 
5992  20 
5983  ic 

9.9995974,-32 
59^i5j  5o 
5956  4o 
5947'  3o 
5938  20 
5929'  10 

9.999591931 


5910 
5901 

5892 
5883 
5874 


5o 
4o 
3o 
20 
10 


9-9995865  30' 


Bin. 


«8® 


870 


LOGARITHMIC     SINES,     TANGENTS, 


&C. 


173 


30 


1770 


em. 


3i)' 
10 
20 
3o 
4o 
5o 
31' 
10 
20 
3o 
40 
5o 
32' 
10 
20 
3o 
40 
5o 
33' 
10 
20 
3o 
4o 
5o 
34' 

I  o 
20 
3(» 
4(» 
5u 

35 
10 
20 
3o 
40 
5o 

36 
10 
20 
3 

4 
5o 
37' 

H 

2C> 

3o 

4o 
5. 

38' 
Id 

2Ci 

3< 

4 
5() 
31)' 
10 
20 
3o 
40 
5o 
40' 


dif.  r 


8.639  6795 
040  161 5 

640  643o 

64 1  1239 
641  6043 
6420841 

8.642  5634 
643  0422 
643  5204 

643  9982 

644  4754 

644  9520 
8.645  4282 

645  9<)3b 

646  3780 

646  8535 
6473^76 

647  801 1 
8.648  2742 

648  7467 
6492167 

649  6902 

650  1619 
65o63i6 

8.65i  1016 
65i  5710 
652  o4oo 
652  5o84 

652  9763 

653  4437 
8.653  9107 

6543771 

654  843o 

655  3o84 

655  7733 

656  2377 
8.6567017 

657  i65i 

657  6280 

658  0904 

658  5524 

659  « 1 38 

8.659  4748 
659  9353 
66o3q52 

6608^47 
66i3i37 

661  7723 
8.662  23o3 

662  6878 

663  1449 

663  601 5 

664  0576 

664  5i32 

8.664  9684 

665  4231 

665  8773 

666  33io 
6667842 

667  2370 
8.667  6893 


co-sec. 


481.9 
481.5 
480.9 
480.4 

479-8 
479-3 
4-78.8 

478-2 

477-8» 

477.2 

476.6 

476.2 

475.6 

475.1 

474.6 

474.1 

473.5 

473.1 

472.5 

472.0 

471.5 

47 1 -o 

470.4 
470.0 

469.4 
469.0 
468.4 
467.9 

467.4 
467.0 

4(i6.4 
465.9 
465.4 
464.9 
464.4 
464.0 

463.4 

462.9 

462.4 

462.0 

461.4 

461.0 

460.5 

459. 

459. 

459.0 

458.6 

458.0 

457.5 

457-1 

456.6 

456.1 

455.6 

455.2 

454.7 
454.2 

453.7 
453.2 
452.8 
452.3 


tan?. 


ii.36o32o4 
359  8385 
359  3570 
358  8761 
358  3957 
357  9159 

r  1.357  4366 
356  9578 
356  4796 
3560018 
355  5246 
355  0480 

11.3545718 
354  0962 
353  6211 
353  1465 
352  6724 
352  1989 

ii.35i  7258 
35i  2533 
3507813 
35o  31)98 
349  8388 
349  3684 

.1.3488984 
348  4290 
347  9600 
347  4916 
347  0237 
346  5563 

.1 1 .346  0893 
345  6229 
345  1570 

344  69 1  r 

344  2267 

343  7623 

1 1 .343  2983 

342  8349 
342  3720 
341  9< 


dif.l" 


co-taog. 


8.6400931 

640  5760 

64 1  o584 

64 1  5402 

642  021 5 

642  5o23 
8.642  9825 

643  4622 
6439414 
6444200 

644  8982 

645  3758 
8.645  85  >8 

646  3294 

646  8o54 

647  2810 

647  7560 

648  23o5 
8.648  7044 

649  ^779 

649  65ob 

650  1233 

650  5955 

65 1  c)()66 
8.65i  5375 

652  0079 
659  4778 

652  9471 

653  4«6o 

653  8844 

8.654  3522 

6548196 

655  2865 

655  7528 

656  2187 
656  6841 


482.9 
482.4 
481.8 
481.3 
480.8 
480.2 

479-7 


11.3599069 


sec. 


d.l" 


8.657  1490 
1 33 


co-8in. 


341  4476 
340  9862 
11.340  52  52 

340  0647 

3396048 

339  1  ^5'^ 

338  6863 

338  2277 

1 1 .337  7697 

337  3l92 

336  8551 
336  3985 
335  9424 
335  4868 

ii.335o3r6 
334  5769 
334  1227 
3336690 
333  2158 
332  763o 

11.332  3i07 


6576 
658  0772 

658  5406 

659  oo35 

659  4659 
8.659  9^79 

6603893 

660  85o2 
66.  3i07 

661  7707 

662  23oi 
8.66a  6891 

663  .477 

663  6o57 
6640633 

664  52o3 

664  9770 
8.665  4331 

665  8887 

666  3439 
6667986 

667  2528 
6677066 

8.668  1598 


dif.l" 


sec. 


479 
478.6 

478.2 

477.6 

477.0 

476.6 

476.0 

475.6 

475.0 

474.5 

473. 

473. 

472. 

472.5 

471-9 

471.4 

470.9 

470.4 

469.9 

469.3 

468.9 

468.4 

467.8 

467.4 

466.9 

466.3 

465.9 

465.4 

464.9 

464.3 

463.9 

463.4 

462.9 

462.4 

462.0 

461.4 

460.9 

460.5 

460.0 

459.4 
459.0 

458.6 
458.0 
457.6 
457.0 
456.7 
456.1 
455.6 
455.2 

454.7 
454.2 
453.8 
453.2 


1 0.0004 1 35 


co-tang. 


359  4240 
358  9416 
358  4598 
357  9785 
357  4977 
11.3570175 
356  5378 
356  o586 
355  58oo 
355  1018 
354  6242 

11.354  1472 
353  6706 
353  1946 
352  7190 
352  2440 
35 1  7695 

11. 35 1  2956 
3508221 
35o  3492 
349  8767 
349  4o48 
348  9334 

11.3484625 
347  9921 

347  5222 

347  0529 
346  584o 
346  11 56 

11.3456478 
345  1804 
3447135 
344  2472 
3437813 
3433159 

11.342  85 10 
34'.^  3867 
341  9228 
341  4594 
340  9965 

34oD§4i 
11.3400721 
3396107 
339  1498 
338  6893 
338  2293 
33?  769 
11.3373.09 
336  8523 
336  3943 
335  9367 

33547 
335  o2vio 

11.3345669 
334  iii3 
333  656i 
333  20i4 
332  7472 
332  2934 

ii.33i84o2 


co-tiin. 


dif.l" 


4i45 
4i54 
4i63 

4172 
4182 
10.0004191 
4200 
4209 
4219 
4228 
4237 

10.0004247 
4256 
4265 
4275 
4284 
4293 

io.ooo43o3 
43i2 
4321 
433 1 
4340 
435o 

10.0004359 
4369 
4378 
4387 
4397 
4406 

io.ooo44i6 
4425 
4435 
4444 
4454 
4464 

10.0004473 
4483 

4492 
45o2 

45ii 
452 1 1 
1 0.000453 1 
4540 
4550 
456o 
4569 

4579 

10.0004589 

4598 

4608 

4618 

4627 

4637 

10.0004647 

4657 

4666 

4676 

4686 

4696 

io.ooo47o5 


tang. 


1.0 
0.9 
0.9 
0.9 
1.0 
0.9 
0.9 
0.9 
1.0 
0.9 
0.9 
I-O 

0.9 
0.9 

1.0 

0.9 
0.9 

1.0 

0-9 
0.9 

1.0 

0.9 

1.0 

0.9 

1.0 

0.9 
0.9 

1.0 

0.9 

1.0 
0.9 
1.0 
0.9 
1.0 
1.0 

0.9 

1.0 

0.9 

1.0 

0.9 

1.0 

1.0 

0.9 

1.0 
1.0 

0.9 

1.0 
1.0 

0.9 

1.0 
1.0 

0.9 

1.0 

1.0 
1.0 
0.9 
1.0 
1.0 

1.0 

0.9 


9.9995865 


30' 


co-sec. 


5855  5o 

5846  40 

5837  3o 

5828  20 

58i8  10 

9.9995809  29' 

58oo  5o 

5791  4o 

5781  3o 

5772  20 

5763  10 

9.9995753  28' 

5744  5o 

5735  40 

5725  3o 

6716  20 

5707  10 

9.9995697  27' 

5688  5o 

5679  40 

5669  3o 

566o  20 

565o  10 

9.9995641  26 

563 1  5o 

5622  4o 

56i3  3o 

56o3  20 

5594  10 

9.9995584  25 

5575  5o 

5565  4o 

5556  3o 

5546  20 

5536  10 

9.999552724' 

55 17  5o 

55o8  4o 

5498  3o 

5489  20 

5479  'o 

9.999546923 

546o  5o 

545o  4o 

5440  3o 

543 1  20 

5421  10 

9.9995411  22' 

54o2  5o 

5392  4o 

5382  3o 

5373  20 

5363  10 

9.9995353  21 

5343  5o 

5334  40 

5324  3o 

53i4  20 

53o4  10 

9.9995295  20' 


d.1' 


»m. 


92« 


87^ 


n 


1 1 


174 


LOGARITBMIC     SINKS,     TANGENTS,     &C. 


m^ 


ITTo 


•in.        fiiC  I" 


4a'8.6676893Le,  ft 

()68i4filc  i 

668  5925  Ir,-'* 

669  0434  jc!'? 

6694938 

669  9437 
8-670  3932 

6708422 


10 
20 
3o 

4o 

St 
41' 

10 
30 
3o 

40 

10 

ao 

.3o 

40 

5o 
4:V 

10 

90 

3o 

40 

5o 
4l'B.678  4o52 


45o.4 
449.9 
449' S 
449.0 
448.6 


672  6337 
8,673  f)8o4 

673  5266 

673  9724 

6744177 

674  8626 

675  3070 
8.67.5  75 10 

676  1945 

676  6375 
6770801 

677  5233 

677  9640 


10 

20 
3o 

4o 
5o 
45' 
10 
20 

4o 
So 
i& 
10 
20 


671  20f>H 

671  7389'^^**-i 
673  i8(5?|^47.6 

447.2 

446.7 

446.3 

445.8 

445.3 

444.9 

4444 

444'^ 

443.5 

443.0 

442. 6 

443.3 

441.7 
44i.2 
440.8 

440.4 
439.9 

439^4 


eo-mic 


678  846o 

679  2864 

679  7263 
681)  1657 


11.332  3 1 07 
33 1  8580 
33 1  4075 
330  0566 
33o  5062 
33o  o563 

11.3296068 
329  1 578 
338  7092 
328  2611 
3278135 
327  3663 

11.32691^ 
326  47J4 


tftiig. 


difl  I" 


452. 
452 


:I 


3260276  6744568 


680  6047 1!?  2 


8.681  0433 

68i48i4 

681  9r9t 

682  3563 
6827931 

683  2295 
8.683  6654 

684  1009 

684  5359 

685  4o47HHft 

685  8385 1„? 
8.686  2718  Kb 

686  7046  if? 

687  1 371 ''''^•^ 
6875691 
6880007 


438.6 
438.  J 

437.7 
437.2 
436.8 

4364 
4359 
435.S 
435.0 
434.7 


8.6681598 

668  61 27 

669  o65o  .r 
6695169''  9 

6724192^^'? 
8.670  8697  ^^""-^ 
671  3197 
671  7692 
673  2 1 83 
6736669 

673  ij5i 
8.673  5638 

674  0100 


335  5833 
325  1 374 
334  6930 
1 1.324  ^4qo 
333  8o55 
323  3635 

322  9199 

322  4777 

333  o36o 

rr.33i  5948 

331  1 5.40 

33071 36 

320  3737 
3198343 
319  3953 
ii.3r8  9567 
3i8  5i86 
3180809 
3176437 


432.0 
431.6 


3 17  2069  ^3  2076 
3i6  77(»4  683  7§5o 
ii.3i6  3346  8.684  1719 


6749031 
675  3490 

675  7944 
8.676  2393 

676  6839 
6771279 

677  5713 
6780147 

678  4573 
8.678  8996 

679  34 1 4 

679  7828 

680  2337 
6806641 

681  1043 
8.681  5437 

681  9839 
6834216 
6838598 


6884318  If-' 
8.688 8625 '*^^'^ 


689  2928 
6897237 

690  l521 
6905811 

691  0097 

8.69.  4379 1 
6^,  8656lf  7-7 

tL  427.3 

002  2020'^  L 

«9^  iWa^\ 


43o-3 
429.9 
439.4 

429.0 
428.6 
428.2 


693  5724 
8.693  9980 


co-tin. 


425.6 


diCI" 


3i5  8991 
3i5  464i 
3i5o994 
3i4  5953 
3i4  i6i5 
11.3137382 

3 132954 
3i2  8629 
3i2  4309 
3ii99q3 

3ii56 
ii.3ii  1375 
3107072 
3io  2773 
309  8479 
3094189 
3089903 
3o8  562i 

3o8i344 
3o7  7071 
3o7  a8oa 
3o68537 
3o6  4276 


II 


6846084 
685  0445 

685  4801 
6859153 

686  350I 
8.686  7844 

6872183 
6876518 
688  0848  .0  e, 

688  5174  If 
'^433.2 


45o.o 
449.5 
449.1 
448.6 
448.3 

447-7 
447.2 
446.8 
446.3 
445.9 
445.4 
444.9 
444.6 
444.0 
443.6 
443.2 
442.6 
442.3 
441.8 

441.4 
440.9 
440.4 
44o.i 
439.5 
4392 
438.7 
438.2 
437.8 

437.4 
436-9 
436.5 
436.1 
435.6 
435.2 
434.8 
434.3 
433.9 
433.5 
433.0 


eo-tniig. 


flOC 


1 1.33 1  84o3 
33 1  3873 
3309350 
33o483i 
33oo3i7 
329  58o8 
11. 329  i3o3 
3286803 
338  23o8 
327  7817 
327  333 1 
336  8849 
11.3364373 
325  9900 
335  5433 
3250969 
324  65 10 
324  2o56 
11.3237607 
323  3i6i 
3238721 
322  4285 
321  o853 
321  5427 
11.321  1004 
320  6586 
3202172 
319  7763 
3193359 
3188958 
ii.3i84563 
3180171 
3i7  5784 
3 17  i4o2 
3167024 
3 16  265o 
ii.3i5828i 
3153916 
3149555 
3i43i99 
3 140847 
3i3  6499 
ii.3i3  2i56 
3i2  7817 
313  3482 
3ii  9152 
3114826 


688  9496r^";-:   3iio5o4 
8.689  38. 3^3|-3"-3io6i87 


6898126 
6902435 
6906740 

691  in4i 

691  5337 
8.691  9629 

692  3917 


430.9 

43o.5 
43o.i 
429.6 
429.2 
4a8.8 
438.3 


693  82001  r"*^ 

693  347^f  ^'^ 

693  675S'<'7-^ 

694  1036 


1 .3o6  ooao  8.694  5293 


sec. 


co-ian§. 


427.1 
426.6 

dif.l' 


3io  1874 
3o9  7565 
3093260 
3088959 
3o8  4663 

ii.3o8o37i 
3076083 
3o7  1800 
3067521 
3o6  3245 
3o5  8974 

ii.3o5  47o8 


io.ooo47o5 
471 5 
4725 
4735 
4745 
4755 

10.0004764 
4774 
4784 
4794 
48o4 
48i4 

10.0004834 
4834 
4844 
4854 
4864 

4874 
10.0004884 

4894 
4904 
4914 
4924 
4934 
10.0004944 
4954 
4964 
4974 
4984 
4994 
io.ooo5oo4 
5oi4 
5o25 
5o35 
5o45 
5o55 
io.ooo5o65 
5o75 
5o86 
5096 
5io6 
5ii6 
io.ooo5i26 
5i37 
5i47 
5i57 
5167 
5178 
io.ooo5i88 
5198 
5309 
5219 
5229 
534o 
io.ooo535o 
5260 
5271 
5281 
5391 
53o2 
io.ooo53i2 


A.V 


co-»n. 


tang. 


co-aec. 


l.o 
1.0 
I.o 
1.0 
1.0 
0.9 
1.0 
1.0 
1.0 
l.o 
1.0 
1.0 
1.0 

1.0 

1.0 
1.0 
1.0 
1.0 
1.0 
1.0 
1.0 

1.0 

1.0 

1.0 

1.0 

1.0 

1.0 

1.0 

\<i 

1.0 

1.0 

I.I 

1.0 

1.0 

1.0 

1.0 

1.0 

l.l 

1.0 

1.0 

1.0 

1.0 

1.1 

1.0 

1.0 

1.0 

1.1 

1.0 

1.0 
1.1 

I'O 

1.0 
I'l 
1.0 
1.0 
I.I 
1.0 
1.0 
I.I 

1.0 


d.1" 


9.9995295 

5285 
5275 
5265 
5255 
5245 
9.9995236 
5226 
52i6 
53o6 
5i9() 
5i86 
9.9995176 
5 166 
5i56 
5i46 
5i36 
5i26 
9.9995116 
5 1 06 
5096 
5o«6 
5076 
5o66 
9.9995056 
5o46 
5o36 
5o26 
5oi6 
5oo6 
9.9994996 
49»6 
4975 
4965 
4955 
4945 
9.9994935 
4925 
4914 
49f>4 
4894 
4884 
9.9994874 
4863 
4853 
4843 
4833 
4822 
9.9994812 
4803 
4791 
4781 
4771 
4760 
9-9994750 
4740 
4729 

4719 
47 
4< 
9.9994 


20' 
5o 
4o 
3o 
ao 
10 
19' 
5o 
40 
3() 
20 
10 
18 
5o 
4o 
3o 
20 
10 
17 
5o 
4o 
3o 
30 
10 
16 
5o 
4c 
3o 
20 
10 

I:V 

5o 
4o 
3o 
20 
10 
14' 
5o 
4o 
3o 
20 
10 
VV 
5o 
40 

20 

10 

12' 

5o 

4o 

3o 

20 

10 

II' 

5o 

4o 

3o 

20 

10 

10' 


■in. 


•2® 


LOGARITHMIC  SINES,  TANGENTS,  «k  C . 


175 


30 


m^ 


9in. 


50' 

10 
20 
3o 
4o 
5o 

51 
10 
20 
3o 
40 
5c 

52 
10 
20 
3o 

4' 
5ol 
53 

10 
20 

3u 

4o 
5o 

lOl 

so 
3o 

4o 
5() 
55' 
10 
20 
3o 
4o 
5o 
156 
10 
20 
3o 
4o 
5o 
57 
10 
20 
3o 
4o 
5o 
58 
10 
20 
3o 
40 
5o 
59 
10 
20 
3o 
4o 
5o 
60 


8.693 
694 
694 
695 
695 
696 

8.696 
696 
697 
697 
698 
698 

8.699 
699 
699 
700 
700 
701 

8.701 
702 
702 
702 
7o3 
7o3 

8.704 
704 
704 
7o5 
7o5 
706 

8.706 
706 
707 
707 
708 
708 

8.709 
709 
709 


dlf.1" 


7 
7 
7 

8.7 
7 
7 
7 
7 
7 

8.7 
7 
7 
7 
7 
7 

8.7 
7 
7 
7 
7 
7 

8.7 


9980 

4232 

848o 
2724 
6964 
1200 
543 1 

?659 
882 
8101 
23i6 
6527 
0734 
4936 
9135 
333o 
7520 
1707 
5889 
0067 
4242 
84i2 
2578 
6741 

9204 

335o 

7493 

i63i 

5766 

9896 

402  3 

8i46 

2265 

638o| 

0490 

4598 

8701 

2800 


425.2 

424.8 
424.4 

424.0 
423.6 
423.1 

423.8 

432.3 
421.9 
421.5 
42 


!l.I 


420,7 
420.2 

9.5 


co-sec. 


[I 


8 


ti 


8 


II 


.0 

•7 
8.2 
7.8 

7-5 
7.0 
6.6 
6.3 
5.8 
5.5 
5.0 
4-6 
4.3 
3.8 
35 
3.0 
2.7 

2.3 

1.9 

1.5 


5075 

?»59 
3239 

73i5 

1 387 

5456 

9520 

358 1 

7638 

1692 

5741 
0787 
3829 
7867 
1901 
5932 
9959 
3982 
8002 


co-am. 


1.0 
0.8 
0.3 
409.9 
409.6 
409.1 
408.8 
408.4 
4o8.o 
407.6 
407.2 
406.9 
406.4 
406.1 
405.7 
405.4 
404. 
404.6 
4o4.3 
4o3.8 
4o3.4 
4o3.i 
402.7 
4o2.3 
402.0 

dif.  I'- 


ll 


tang. 


8 


II 


II 


II 


II 


II 


II 


II 


,3o6  0020 
3o5  5768 
3o5  1 520 
3o4  7276 
3o4  3o36 
3o3  8800 
.3o3  4569 
3o3  o34i 
3026118 
3o3  1899 
3oi  7684 
3oi  3473 
.3oo  9266 
3oo  5o64 
3ooo865 
2996670 
3992480 
298  8293 
.2984111 
297  9933 
297  §758 
297  1 588 
296  7422 
296  3259 
.2959101 
295  4946 
295  0796 
294  665o 
294  25o7 
293  8369 
.293  4234 
2930104 
292  5977 
292  1 854 
291  7735 
291  3620 
.2909510 
290  54o2 
290  1299 
289  7200 
2893104 
288  9013 
288  4925 
2880841 
2876761 
287  2685 
2868613 
286  4544 
.286  o48o 
285  6419 
285  2362 
284  83o8 
284  4259 
2840213 
,283  61 7  J 
283  2 1 33 
282  8099 
2824068 
282  (X)4i 
281  6018 
.281  1998 


dif.i" 


8 


8 


8 


8 


8 


8 


sec. 


8 


8 


.694  5292 
694  9555 
6953814 
6958068 
6962318 

696  6564 
.697  0806 

697  5o44 

697  9378 

698  35o7 

698  7733 

699  1954 
6996172 

700  o385 
700  4594 

700  8799 

701  3ooo 

701  7197 
.703  1390 

702  558o 

702  9765 

703  3946 

703  8i22 

704  2295 
.704  6465 

705  o63o 
7o5  4791 

705  8948 

706  3ioi 

706  725o 
.707  1395 

707  5537 

707  9674 

708  3808 

708  7937 

709  2063 
.7096185 

oo3o2 
o44i6 
08527 

1  2633 
16735 
20834 

24929 

2  9019 

3  3io6 
37190 

4  1269 
45345 
49417 

5  3485 

57549 

6  1609 

6  5666 
6971 
7376 

7  7813 

8  i855 
85893 
89927 
93958 


co>tang> 


426.3 

425.9 

425.4 

425.0 

424.6 

424.2 

423.8 

423.4 

422 

422. 

422.1 

421.8 

421 

420. 

430 

420.1 

9-7 
9.3 


II 


% 


9.0 
8.5 
8.1 
7.6 
7.3 
7.0 
6.5 
6.1 

5.7 
5.3 

4 
4 
4.2 

3.7 
3.4 

2.6 


u 


II 


sec. 


II 


II 


II 


co-tang. 


3.2 

1-7 
1.4 
I.I 
0.6 
0.2 
409.9 
409.5 
409.0 
408.7 
408.4 

4079 
4076 

407-2 
406.8 
406.4 

4o6.o 
4o5.7 
4o5.3 
404.9 
4o4.5 
4o4.3 
4o3.8 
4o3.4 
4o3.i 

dif.l" 


II 


II. 


II 


II 


II 


.3o5  4708 
3o5  0445 
3o46i86 
3o4  1932 
3o3  7682 
3o3  3436 
.3o2  9194 
3o2  4956 
3o2  0722 
3oi  6493 
3oi  2267 
3oo  8046 
3oo  3828 
2999615 
2995406 

290  1201 
298  7cx)o 
2982803 
,297  8610 
297  4420 
297  02  3  5 
2966054 
296  1878 
295  77o5 
.295  3535 
294  9370 
294  J  209 
294  io52 
293  6899 
293  2750 
.292  86o5 
292  4463 
292  0326 

291  6193 
291  2o63 
290  7937 
.290  38 1 5 
2899698 
289  5584 
289  1473 
288  7367 
288  3265 
2879166 
287  5071 
2870981 
286  6894 
2862810 
285  8731 
285  4655 
285  o583 
284  6515 
284  i45i 
283  R391 
283  4334 
2830281 
282  6232 
282  2187 
281  8145 
281  4to7 
281  0073 
.2806042 


10 


10 


d.l" 


10 


10 


10 


10 


10 


10 


10 


10 


tang. 


10 


.ooo53 1 2 
5323 
5333 
5344 
5354 
5365 

.0005375 
5385 
5396 
5406 

5417 

5428 

.0005438 

5449 
5459 
5470 
5480 

5491 
.(X)o55o2 
55i2 
5523 
5533 

5544 
5555 

.ooo5565 
5576 
5587 
5597 
56o8 
5619 

ooo563o 
564o 
565 1 
5662 
5672 
5683 

.0005694 
5705 
5716 
5726 
5737 
5748 

.0005759 
5770 
5781 

5792 
58o2 
58i3 

.0005824 
5835 
5846 
5857 
5868 
5879 

.0005890 
5901 
5912 
5923 
5934 
5945 

,0005956 


co-stn. 


1.1 
1,0 
1.1 
l.o 
r.i 
1.0 
1.0 

I.T 

1.0 

1.1 

I.I 

1.0 

1.1 

1.0 

I.I 

1.0 

I.I 

I.I 

1.0 

I.I 

1.0 

I.I 

1.1 

1.0 

I.I 

I.I 

1.0 

I.I 

I.I 

I.I 

1.0 

1.1 

1.1 

1.0 

1.1 

I.I 

I.I 

1.1 

1.0 

I.I 

1.1 

1.1 

l.l 

I.I 

1.1 

l.Ol 

l.l 

I.I 

I.I 

I.I 

I.I 

I.I 

I.I 

I.I 

I.I 

I.I 

I.I 

I.I 

I.I 

1.1 


co-sec. 


9.9994688 

4677 
4667 
4656 
4646 
4635 

9.9994625 
46i5 
46o4 
4594 
4583 
4572 

9.9994562 
455 1 
454i 
453o 
4520 
4509 

9.99944 
44B8 

4477 

4467 
4456 
4445 

9.9994435 
4424 
44i3 
44o3 
4392 
438 1 

9.9994370 
436o 

4349 
4338 
4328 

43i7 
9.9994306 
4295 
4284 
4274 
4263 
4252 

9.9994241 
43  3o 
4219 
4208 
4198 
4187 

9.9994176 
4i65 
4i54 
4i43 
4i32 

4l2I 

9.9994110 
4099 
4088 

4077 
4066 

4o55 
9.9994044 


d.1" 


10' 

5o 

40 

3o 

20 

10 

9' 

5o 

40 

3o 

20 

10 

8' 

5o 

4o 

3o 

20 

10 

V 

5o 

40 

3o 

20 

10 

6' 

5o 

40 

3o 

20 

10 

5' 

5o 

40 

3o 

20 

10 

4' 

5o 

40 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

10 

2' 

5o 

4o 

3o 

20 

10 

V 

5o 

4o 

3o 

20 

10 

0' 


stn. 


920 


870 


176 


LOGARITHMIC    8INES,TAN'&ENTS,     &C. 


17«o 


Id 

30 

3o 
4o 
■50 
1' 


10 

aci 

So 

2' 

10 

■30 
■jO 

,40 

5o 

3 

ro 

20 


'01 H*. 


'did*' 


co-iec. 


719  2017 


401.2 


8.7188003  .,  c  I'-aSi  1998 
!4oi.Si  280  703 

280.3971 
2790962 
a'79^  5958 

379  107 


IAil||^* 


7196029^  '•* 
720  oo3«  1^-9 


720 

720  4043 


400.4 

399.4 

399.0 
398.6 


.40 

5o 

4' 

10 

20 

3o 

4(> 

:5o 

5' 
10 
20 

Jo 

4o 

5o 

§ 

10 

30 

3o 

40 

5o 
7» 

10 

•'U 

3o 
4o 

5o 
» 
10 

20 

4o 


8.721  2o4o 

721  & 

722  0024 

722  4010 

722  7992 

723  I97I 
8,723  5946 

733  9918 
-54  3886 

724  7«5o  :j_^ 
725i8ioW-^ 

725  5767  gc'] 

8.7359721  X^r"'' 
726  .§671  |g-^ 

7267617  "^^fij^ 

727  rlSo  9'' 

'"''  ^1?5i'393l| 
727  9434U7',7 

8.728  3366  -^^'^ 


1 1.276  7960  8.721  8o63 


398 

397-9 
397 -5 

397.2 

396.8 

•j90'*4 


1 1 .276  4o54  8.724  2o3:f :  .^^^ 
2760082  7246oi8i"?9° 


2783966 
277  09'76 
^77  5990 
277  aoo8 
276  8029 


2756114 
275  3i5o 
274  8190 
274  4233 


8.719  39S8 
719  7984 

720  3tX>7 

720  6027 

721  0042 

721  4o54' 


dif.l" 


72a  2067 
7226068 

723  4o59 
7a3  8o4i 


19 


402.6 

4oa.3 

402.0 

4ot.5 

401.2 

400.9 

400.4 

4oo.i 

J99.7 

399.4 


co'tang. 


WW. 


7240997 

725  3972 
725  7944 


,3979 
397.5 

.397.2 


T,  396.8 


726  ^Qi^l^Z^c 

1 1.274  027918.726  58^7'  i!^!^*^ 


'392.8 
392.5 
392.1 


728  7294 
729 12191 
7295140 
75990573  5 

8.730  6882  ^^i-o 
73 1  0780  |9«-7 
73i  4693  -9«'* 

73 1  8593 

732  2489 

732  6383 

8.733  0272 
7334157 

733  8o4o 
734 


390.0 
B9..6 
389.3 
389.0 
388.5 
388,3 
387.9 


386.8 
735  74oo[^-^ 

7. 36  '''^^Loe'gl 
736  5f20'3j.r'r 

7.36  8075  S?, 

73-  ^M^i 

8.737  6675  '^Jj-; 
738o5i9|®|f 
738  436o  i^mt'o 
738  ®'9**J3fj3'5 

74o35i5  3g2_j* 

740  7336,  ^o,"a 

741  1 1 J4  -JO-  ji 


10 

ao 
3o 
4o 
5o 
W  8.742 


74 1  87791  ^fi«', 
.74a  a586r***''7 


M-fin.   tl'Cl" 


373  6320 

273  2383 
2728441 
272  45o2 
272  o'566 

1 1- 27 1  6634 
271  2706 
2708781 
2704860 
270  0943 
269  7oa8 

it.3693118 
2689211 
26S  53o7 
268  1407 
267  75 u 
267  36  J  8 

11.2669728 
3166  5843 
aoD  1960 
265  8081 
265  42o5 
265  o333 

1 1 .264  6465 
264  2600 
263  8738 
263  488o 
263  1025 
2627173 

11.2623335 
261  9481 
261  564o 
261  1802 
260  7967 
260  4 1 36 

11.2600309 
2596485 
259  2664 
258  8846 
358  5o32 

258  1231 

11.2577414 


736  o838 

727  J795 
727  7749 
738  1700' 


39*5. 

395.7 

395.4 

395 


728  5646  ^;\ 
8.738  9389 


739  J539 
739  7465 

730  1 397 
7..30  5326 
7309252 

8.731  3 1 74 

73 1  7092 

732  1007 
7324918 
732  88^6 

733  273o 

8.733  6631 

7.34  o53 

734  443 

734  83 1 3 

735  3200 


394.3 
394.0 
393.6 

".2 


% 


393.9 
592.0 

391.8 

391.5 
391. 1 
390.8 
.390.4 
390.1 
389.8 
389.4 
3890 

388-7 
388-4 


Z?5  ^A  388.0 


■AC* 


8.735  9964 

736  384o 
7367714 

737  1 583 
737'  545o. 
7379313 

8.738  3173 

738  7038 

739  0881 
739  473o 
739  8576 

74oa4i9 
8.740  6a  58 
74 1  0094 
74 1  3936 
74i  7755 
74a  i58i 
74a  54o3 
8.74a  9332 


eo-tmif. 


387.6 

387.4 

386-9 

386-7 

386.3 

385-9 

385.6 

385.3 

384. 

384-' 

3843 

383. 

383j 

383.2 

382.9 

382.6 

382.2 

381.9 


ii.a8o6o4a 
280  2016 
2797993 

279  3973 

2789958 

278  3946 

11.278  1937 

277  7933 
277  3932 
276  9935 
2765941 
276  1951 

11.2757965 
275  3982 
275  ooo3 
2 -•4  6028 
274  2o56 
2738088 

ii.2734ia3 
273  0162 
272  6205 

272  225l 

271  83oo 

271  4354 

11.271  o4ii 

270  6471 
270  3535 
2698603 
269  4674 
260  0748 
11.2686826 
268  2908 
3678003 
267 

2671174 

2667270 

1 1 .266  3369 

265  9471 


265  5577 
265  1687 
2647800 
264  3916 
1 1.264  f>o  36 
263  6160 
263  3286 

2628417 
262  455o 
262  0687 

11.2616828 
261  2972 
260  91 19 
260  5270 
260  1424 
259  758 1 

11.3593742 
2580906 
258  6074 
258  2245 
2578419 
257  4597 

11.2570778 


tang. 


10.0005956 
5967 
5978 
5989 
6000 
601 1 

IO.00o6t)23 

6o33 
6045 

tX>30 

6067 

6078 

1 0.0006089 
6100 
61 II 
6123 

61 34 

6145 

10.00061 56 

6167 
6179 
6190 
6201 
6312 

10.0006224 
6235 
6246 
6258 
6269 
6280 

io-0006392 
63o3| 

63i4 
6326 

6337 
6348 

io.ooo636o 
63-' r 
6383 
6394 
6406 
64 1 

10.0006428 
6440 
645 1 
6463 
6474 
6486 

10.0006497 
6509 
6520 
6532 
6544] 
6555 

10.0006567 
6578 
659fj 
6602 
66 1 3 
6635 

ro.ooo6636 


dj" 


C4»-8fiC. 


I.I 
I.I 
I.I 

1*1 

I.I 

I.I 

I.t 

1.2 

l.I 

I.I 

1.1 

I.I 

I.I 

l.I 

1.2 

l.I 

I.l 

l.I 

l.I 

I. a 

l.I 

l.I 

I.l 

1.2 

I.l 

l.I 

1.3 

l.I 

l.I 

1.3 

I.l 

l.I 

1.3 

l.I 

I.l 

1.2 

l.I 

1.2 

l.I 

1.2 

l.I 

I.l 

1.2 

1.1 

1.2 

I.l 

1.2 

I.l 

1.2 

l.I 

1.2 

1.2 

l.I 

1.2 
I.l 
1.2 
1.3 
l.I 

i.a 
l.I 


€«Miin. 


d.l" 


9.9994044 
4o33 
4o3a 
4oii 
4ooo 
3989 

9.99939:8 
3967 
3955 
39if 
3^33 
3922 

9.999391 1 
3900 
3b89 
38— 
3b66 
385 

9.9993844 
3833 
3821 
38io 

I^S 

9.9993776 
3765 
3754 
3742 
3731 
3720 

9.9993708 
3(>97 
3686 

3674 

3663 

3652 

9.9993640 

36i7 
36o6 
3594 
3583 

9.9993572 
356o 
3549 
3537 
3526 
35i4 

9.9993503 
3491 
3480 
3468 
3456 
3445 

9.9993433 
3423 
3410 
3398 
3387 
3375 

9.9993364 


W 

5o 

4o 

3o 

20 

10 

5!) 

5o 

4o 

3o 

20 

to 

.58 

5o 

40 

3o 

20 

10 

.57' 

5o 

4o 

3o 

20 

10 

5() 

5o 

4o 

3o 

20 

10 

5o 
4o 
3o 
20 
10 
'>4' 
5o 
4o 
3o 
20 
10 

.53 
5o 
4o 
3o 
20 
10 

r,2 

5o 
4o 
3o 
20 
10 
51' 
5o 

40 
3o 
20 
10 
50 


•in. 


''#9** 


66<> 


LOGARITHMIC  SINES,  TANGENTS,  &C. 


177 


3" 


i7e«> 


tin. 


dif.  l" 


10 

10 
20 
3() 
4«» 
5.. 
11' 
10 
20 
3< 

4' 
5' 
12' 

M> 

20 

3o 
40 
5<. 
13 

Ui 
3<» 

3( 
4(1 
5o 
14 
10 
20 
3<i 
40 
5.. 
15' 
10 

2l» 

3c 
4<> 
5o 
16 
10 
20 
3o 

4<' 
5i. 
17' 
10 
20 
3(. 

4«' 
5o 


co-sec. 


tang. 


dif.  I" 


7456390  380.1 

743  3j?8^79-7 

743  7783  ^79f 

7441573^79* 

87445360^78.7 

7449144  3^8^ 

745  2925  3'  g 
745 6703  J'', 

74604773^^7 

746  4248^77.1 

8.7468015 

747  1780 

7475541 

747  9299 

748  3o53 

748  68o5 
8. 7.-^9  o553 

749  4297 

749  8039 

75<»  1777 

750  55  r  3 
75f)  9244 

8.751  2973 

75 1  6699 
7520421 

752  4i4o 

752  7856 

753  1569 
8.753  5278 

753  8984 

754  2688 
7546388 
755o<»85 

755  3778 
8.755  7469 

756  1156 
756  484o 

756  8522 

757  2200 

757  5874 
8.757  9546 

758  3215 

758  688<> 

759  o543 
7594202 
759  7859 


II 


8 


II 


II 


II 


II 


7608809 
453 


l^i' 8.760  i5i2 
i«)  7605162 
ao 
3 

4o 
5< 
11)' 
10 
ao 
3o 
40 
5o 
2-' 


761  a45 
761  6094 

761  9731 
8.762  3366 

762  6998 

763  0627 
7634252 

763  7875 

764  «494 
8.764  5iu 


376.7 
376.5 
376.1 

375.8 

375-4 
375.2 
374.8 

374-4 
374.2 
373.8 
373.6 
373.1 

372,6 
372.3 

371.9 
371.6 
371.3 
370.9 
370.6 

370.4 
370.0 

369.7 
369.3 

369- 1 

368.7 
368.4 
368-2 
367-8 
367-4 
367-2 
366-9 
366.5 
366.3 
365-9 

365-7 
365-3 
365.0 

364-7 

364-4 

364-1 

363-7 

363.5 

363.2 

362.0 

362-5 

362.3 

361.9 

361.7 


257  74f4 
257  36io 
2569809 
256  6012 
256  2218 
255  8427 
.255  464o 
255  o856 
254  7075 
a54  3397 
353  0523 
253  5752 
.253  1985 
2528220 

252  4459 
252  0701 

25 1  6947 
25i  3195 
.25o  9447 


8 


8 


8 


8 


8 


II 


8 


II 


II 


co-am. 


dif.r* 


25o  5703 
aSo  1961 
3498223 
249  4487 
2490756 
-248  7027 
248  33oi 

247  9^79 
247  586o 

2472144 
246  8431 

3464723 

246  1016 
2457313 
a45  36i2 
a44  99i5 

a44  0332 

.2442531 
243  8844 
243  5i6<j 
243  1478 
242  7800 
a4a  4126 
.342  0454 
24  r  6785 
241  3 1 20 
240  9457 
240  5798 

240  3l4l 

2398488 
2394838 
239  1 191 
238  7547 
2383906 
238  0269 
.237  6634 
237  3oo2 
a36  9373 
336  5748 
236  2ia5 
235  85o6 
.235  4889  8 


II 


II 


,742  9222 
743  3o38 

743  685o 
744^^660 
7444465 

744  8268 
.745  2067 

745  5863 

745  9655 

746  3444 

746  723o 

747  101 3 

.747  4792 

747  8569 

748  2  34 1 
748  61 1 1 

748  0877 

749  364i 
.749  7400 

750  1 1 57 
75o  491 1 

750  8661 

75 1  2408 
75i  6i52 
.751  9892 

752  3629 

752  7364 

753  1095 
753  4833 

753  8547 
.754  2269 

754  5987 
754  9702 
7553414 
7557123 
756  0829 
.756  4531 

756  8231 

757  1927 

757  5620 
7579310 

758  2997 

758  6681 

759  o362 

759  4o39 
7597714 

760  1 385 
76c^  5o54 
.7608719 

761  238 1 
761  6o4o 

761  9697 

762  335o 

762  7000 
,763 1^47 

763  4291 

763  793 1 

764  1569 
764  52o4 
764  8836 
,765  2465 


cfKtang. 


II 


II 


II 


II 


8 


8 


8. 


BOO. 


381.6" 
381.2 
38 1. o 
380.5 
380.3 

379-9 
3796 
379.2 
378.9 
378.6 
378.3 

377.9 
377.7 
377-2 
377.0 
376.6 
376.4 
375-9 
375.7 

375.4 
375.0 

374-7 
374-4 
3740 
373.7 
373-5 
373-1 
372.8 

372.4 

372.2 

371.8 

371.5 

371.2 

370.9 

370.6 

370.2 

370.0 

369.6 

3693 

369.0 

368.7 

368.4 

368.1 

367-7 
367-5 
367-1 
366-9 
366.5 
366.2 
365-9 
365.7 
365.3 
365.0 

364-7 
364-4 
364.0 
363.8 
363.5 
363.2 
362.9 


roc. 


d-l" 


10 


10 


10 


10 


II 


LI 


co-tang. 


930 


dif.l' 


23 


257  0778 
2566962 

256  3i5o 
255  9340 
255  5535 
255  1732 
.254  7933 
2544137I 
254  o345 
253  6556 
253  2770 

252  8987 

.aSa  5308 
35a  i43i 
25 1  7659 
a5i  3889 
aSi  012J 
25o  6359! 
.35o  26oo|io 
249  8843 
249  5089 
249  1 339 
248  7592 
248  3848 
.2480108 
247  637  c 
247  2636 
246  8905 
246  5 177 
246  1453 
,2457731 
24540 1 3 
245  0398 
2446586 
2442877 
a43  91 7 1 
.a43  5469 
a43  1769 
242  8073 
242  438 
2420690] 
241  70o3 
241  33i9 
240  9638 
240  5961 
24o  2286 
2398615 
239  4946 
.239  1281 
2387619 
238  3960 
238  o3o3 
237  665o 
a37  3ooo 
,2369353 
236  5709I 
236  2069 
235  8431 
235  4796 
235  1164 
.234  7535 


eo-8in. 


10 


II 


II 


II. 


II 


tang. 


.0006636 
6648 
6660 
6671 
6683 
6695 
.0006707 
6718 
6730 
6742 
6753 
6765 
.0006777 
6789 
6801 
6812 
6824 
6836 
,0006848 
6860 
6871 
6883 
6895 
6907 
.0006919 
6931 
6943 
6955 
6967 

6979 
,000699 

7002 

7014 
7026 
7o38 
7o5o 
.0007062 

7074 
7086 
7099 
7111 
7123 
.0007135 

7147 
7159 

7171 
7i83 

7195 
.0007207 

7220 

7232 

7244 
7256 
7268 
.0007280I 
7293 
73o5 

7317 

7329 

7342 

10.0007354 


10 


10 


10 


10 


1.2 
1.2 
l.I 
1.2 
1.2 
1.2 
I.l 
1.2 
I.a 
l.I 
I.a 

I.a 

1.2 

1.2 

l.I 

I.a 

I.a 

1.2 

1.2J 

l.I 

1.2 

1.2 

1.2 

1.2 

1.2 

1.2 

1.2 

1.2 

1-2 
1.2 
l.I 
1.2 
1.2 
1.2 
1.2 

I.a 

i.al 

1.2 

1.3 

1.2 

1.2 

1.2 

1.2 

1.2 

1.2 

1.2 

1.2 

1.2 

1.3 

1.2 

1.2 

1.2 

1.2 

1.2 

1.3 

1.2 

1.2 

1.2 

1.3 

1.2 


9-9993364 
3352 
3340 
3329 

33 1 7 

33o5 

9.9993293 

3282 

3270 

3258 

3247 

3335 

9.999322J 

32II 


50' 

5o 

40 

3o 

20 

10 

49' 

5o 

4o| 

3o 

20 

10 

48' 

5o| 

3i99|4o 

3i88  3o 

3176  20 

3i64  10 

9.999315247' 

3i4o  5o 

3129  4o 

3117J  3( 

3io5  20 

3093 

9.999308 


10 
46^ 

'3069  5o 
3o57 
3o45 


5o 
Zo 
3o 
20 

lO 

44' 


co-sec. 


4o 

3o 

3o33  20 

3o2i  10 

9.999300945' 
2998  '- 
2986 
2974 
2962 
2950 

9.9992938 

2926J  5o 
2914  4o 
290 
2889 
2877 

9.9992865 
2853 
2841 
2829 
2817 
2805 

9.9992793 
2780 
2768 
2756 

2744 

2732 

9.9992720 

2707 
2695 
2683 

2671 

2658 

9.9992646 


3o 
20 
10 
43' 
5o 
4o 
3o 
20 
10 
42' 
5o 
4o 
3o 
20 
10 
41 
5o 
40 
3o 
20 
10 
40 


d.l" 


sin. 


86^ 


'». 


LOGABITHMIO     S  I  I<f  S  S  ,     TANGENTS,     &C. 


•in. 


dif.]' 


8.7645111 
7648724 
765  2335 
765  5q43 
7659547 


176= 


361.3 


36i.i 
360.8 

36o.4 
36o.2 


8.766  6747 
767  0343 
767  3o35 

767  7525 

768  nil 
7684695 

SB'|8.7688275 

769  i853 

769  5428 
7699fKxi 

770  256B 
77061 34 

8.770  9697 

771  3257 

771  6814 

772  ci369|35^;  J 
772  3920  15X  ft 

772  7468  ^Hfi 
8.7731014^^7^ 

7734556^  ''■^ 

773  8006 

774  1633 
7745166 
7748697 

85'|8.775  2226 
7755751 

775  9273 

776  2793 

776  63c: 


11.2354889 


359.6 

359.2 
359.0I 

358.6 
358.4 
35&.0 
357.8 

357.2 
356.8 
356.6 

<J30.<5 

356.0 
355.7 
355.5 


5o 


8.765  2465 
7656091 
7659713 
766  3333 
7666q5o 
7670 


354.0 

353.1 
352.9 
352.5 

352.2 

352.0 
35 1. 61 


77608211?*-^ 


8.777  3334 
7776842 
778  o347 
778  385o 

778  7349 
7790846 

27' 8.779  4340 

779  783 1 

780  i3i9 
7804805 
7808287 

781  1767 
8.781  5244 

781  8719 

782  2190 

782  5650 
7829125 

783  2588 
8.783  6o48 

783  95cj6 

784  2961 
7846413 
7849862 

785  3309  ^21'] 
8.785  6753 '*^'»-'» 


35i.i 
350.8 
35o.5 
350.3 
349.9 
349-7 
349.4 
349.1 
348.8 
348.6 
348.2 
348.0 

347.7 
347.5 

347.1 
346.9 
346.0 
346.3 
346.0 
345.8 
345.5 
345.2 
344-9 
344-7 


a35  1 276 
234  7665 
234  4o57 
234  0453 
233  6851 
11.23332538.7674175 

23a  2475 

23 1  8889 

23 1  53o5 
11 -23 1  17358.7695777 

23o8i47  7699367 

23o  4572 

23o  1000 

229  7432 

229  3866 
11.22903038.771  7274 

228  6743  772  0846 

228  3i86 

227  q63i 

2276080 

227  2532 
11.2268 

22654[4. 

226  I 


ifif.!" 


7681387 
7684989 
768  8588 
7692184 


770  2954 
7706539 

771  0120 
77 »  3698 


362.6 

362.2 

362.0 

361.7 

36i.4 

36i.i 

360.7 

36o.5 

3602 

359.9 

359.6 

359.3 

359.0 

356.7 

358.5) 

358 

3574J 

357.6 

357 


eo-tuif. 


f 


MC. 


co-itn. 


225  8j07 

2254834 
225  i3o3 

11.2247774 
2244249 
2240727 

223  7207 

2233691 

223  0177 

11.2226666 

22a3i58 
221  9653 
221  61 5o 
221  265i 

2209154 

1 1 .220  §660 

2202169 

2198681 

219 5195 

219  1713 

2188233 

ii.ai84756 

2181281 

2177810 

2174341 

2170875 

2167412 

11.2163952 

2160494 
2167039 

2153587 
2i5oi38 
2146691 


772  44i6 
77a  7982 

773  1 546 

773  5 107 
[8.773  8665 

774  2220 

774  5772 
7749321 

775  2868 

775  6411 
8.775  095? 

776  J49r) 

776  7025 

77705573^ 

777  4086  j^^-9 

7777612  ^ 
8.77811 36 

778  4657 
7788175 

779  1690 

779  5202 
7798711 

8.780  2218 

780  5722 

780  9223 

781  2721 
781  6216 
781  0709 

8.782  J 1 99 
7826686 

783  01 70 

783  365 1 
7837130 
7840606 
8.784  4079 
7847550 

785  1017 
7854482 
7857945 

786  i4o4 


11.2347535 

2343909 
234  0287 
2336667 
aS3  3o5o 
232  0436 

11.332  5825 

232  2218 

23i  861 3 
23i  Soil 
a3i  i4i2 
2307816 


7366 
7378 
7391 
74o3 
741 5 
ia(NX>7428 
7440 
7452 
7465 

7477 
7489 


d.!" 


ii.23o4223  iox>oo75o2 


35"  .0 
356.6 

3564 
356.1 
355.8 
355.5 
355.2 
354.9 

354.7 
354.3 
354.1 
353.8 

353.2 


23oo633 

2297046 
2293461 
228  9880 

228  6303 

11.2282726 
2270154 
227  ^584 
227  2018 
2268454 
2264893 

11.226  i3i5 
2257780 
2254228 
2250679 
2247132 


ditV 


11.21432478.7864861 


»«c 


co-tang. 


3524 

352.1 

35 1. 8 

35i.5j 

35i.2 

350.9 

35o.7 

35o.4 

35o.i 

349.8 

349.5 

349.3 

349.0 

348.7 
348.4 
348 

347-9 
347-6 
347.3 
347.1 
346.7 
346.5 
346.3 
345.9 
345.7 


75i4 
7626 
7539 
755! 
7564 

10.0007576 
7589 
7601 
7614 
7626 
7639 

10.000765  r 
7664 
7676 
7689 
7701 


224  3580  77r4 
1 1 .224  tx>.f8  \0j0ooTj76 
22365to  7739 
223  2975  775i 
222  9443  7764 
222  5914  7777 
222  2388  7789 
1 1-22 1  8864  10.0007802 


diCl" 


221  5343 
221  1825 
22o83lO 
2204798 
220  I  389 
11.2197782 
2194278 
2190777 
2187279 

218  3784 
2180291 

11.2176801 
217  33r4 
2169830 
2166349 
2162870 
2159394 

11.2155921 
2i5  245o 
2148983 
2i455i8 
2142055 
213  8506 

ii.2i3  5iJ9 


7815 
7827 
7840 
7853 
7865 
10.0007878 
7891 
7903 
7916 

7939 

7941 

10.0007954 

7967 
7980 

Z993 
8oo5 

8018 

io.ooo8o3i 

8044 
8057 
8069 
8083 
8095 
iox>oo8icS 


tanf. 


1.2 
1.2 
1.3 
1.2 

1.2 

1.3 

1.2 
1.2 

i3 
1.2 
1.2 
1.3 
1-2 
1.2 
1.3 
1.2 
1.3 
1.2 
1.3 
1.2 
1.3 

1-2 
1.3 
1.2 

1.3 

1.2 
1.3 

1.2 

1.3 
1.2 
1.3 
1.2 
iJ 
1-3 

1-2 

1-3 
1.3 
1-2 
1.3 
1.3 

1-2 
1.3 

1.3 

1.2 

1.3 

1.3 

1.2 

1^ 

1-3 

1.3 

1.3 

1.2 

1.3 

1.3 

1.3 

1.3 

1.2 

1.3 

1.3 

i3 


eo-mn. 


eo-iec 


d,l' 


mo 


9.9992646 

2634 
2622 
2609 

2~ 
2 

9.9992572 

256o 
2548 
2535 

2523 
25ll 

9.9992498 

2486 
3474 
2461 
2449 
2436 

9.9992424 
2411 
2399 
2386 
2374 
236i 

9-999^349 
2336 

2324 

a3ii 

22 

22^6 

9.9992274 

2261 

2249 

2236 

2223 

2211 

9.9992198 

2i85 
2173 
2160 
2147 
2i35 
9.9992122 
2109 

2097 
2084 

2071 
2059 

9.9992046 
2o33 
2020 
2007 
1905 
1982 

9.9991969 
1956 
1943 
1931 
1918 
1905 

9.9991892 


40' 
5o 
4o 
3o 
20 
10 
39' 
5o 
40 
3o 
20 
10 
3.5' 
5o 
4o 
3« 
20 
lu 
37' 
5o 
4o 
3f 
20 
10 
36' 
5o 


nn. 


40 
3o 
20 
10 

a-. 

5o 
4o 
3o 
20 
10 
34 
5o 
40 
3o 
20 
10 
33 
5o 
4o 
3o 
20 
10 
32' 
5o 
4o 
3o 
20 
10 
31' 
5o 
4o 
3o 
20 
10 
30' 


86° 


LOGARITHMIC     SINES,     TANGENTS,     <fec. 


179 


30 


176° 


■la. 


8787  7359  lll'l 


30' 
10 
20 

3o 

4o 

5o 

31' 

10 

20 

3o 

40 

5o 

32' 

10 

20 

3o 

4o 

5o 

3;'-' 

10 

20 

3o 

40 

5o 

:34' 

10 

20 

3o 

4o 

5o 

35' 

10 

20 

3o 

40 

5o 

10 
20 
3o 
4o 
5o 
37 
10 
20 
3o 
40 
5o 
3d 
10 
20 
3o 
40 
5o 
3;) 
10 
20 
3o 
4o 
5o 
40' 


8.785  6753 


diCl" 


344.1 


786  0194.3. 38 
786  3632|^^J-e 


7867068 
787  o5oi 
787  3931 


343.3 
343.0 
342.8 


788  0783 
788  42o5 


342.2 
342.0 


788  7625  ii;% 
78910413.  •/ 
7894455  ^"^'-^ 


341.2 
340-8 
340.6 
340.3 

340-I 


co-sec 


tang. 


8.789  7867 
790  1275 
7904681 

790  8084 
79«  ;^485  33  8 

791  4883  -^  - 
8.791  8278 

792  1671 
792  5o6r 

792  8448 

793  1 832 

793  52 1 4 
8.793  8594 

79^  1970 
7945344 

794  8716 

795  2o85 

795  545 1 
87958814 

796  2175 
796  5534 

796  8889 

797  2242 

797  5593 
8-7978941  ,^., 

798  2286,33^.3 
7985629,334.0 
7988969,333.8 

799  j3o7|333.5 

799  56421333.2 

8.7998974,333.0 
8oo23o4:332_ 

800  563113325 
8008956,332^2 

801  2278  .>^ 
801  5598  11 

8.801  89.5|^^;:^5 

802  223o  33 
802  5542 
8028851 

8o3  2i58 


339-5 
339.3 
339-0 
338-7 
338-4 
338  2 
338.0 
337.6 
337.4 
337-21 
336.9 
336.6 
336.3 
336.1 
335.Q 
335.5 
335.3 
335.1 
334.8 
334.5 


11.21432478.7864861 

2 1 3  9806 

213  6368 

2i3  2932 

212  9499 

212  6069 
11.212  2641 

211  9217 

211  5795 

211  2375 

210895 

210  554 
II. 210  2i33 

209  8725 

209  5319 

209  1916 

208  85 1 5 

208  5ii7 
11.208  1722 


dif.!" 


co-tang. 


2 
33o-9 
330.7 

!33o5 

803  5463„^, 

8.8038764:^^^-; 

804  2o64j^°-^ 
8o4  536Th^^9-7 

804  8655,,  Jn 

805  ^9^7\lll'l 
8o5  5236  ^^°'9 


8.8o5  8523 


328.7 


co-Bin. 


dif.!" 


786  83i5^^5f 
7875215  -iVjiI 

78786611^44-6 

788  2io4:o1to 

8.788  5544  oITr 
7888982^43.1 

789  ^417,343.2 
789  5849,3^3  o 
789  9279  342.7 

«  ^^  ft^?^'342.4 

8.7906130  3     2 

790955234, 

79' J971  341.6 
79'6387|34,3 

79198003^^.1 
79^321113^ 
— -i--«-792  6620  3  J 
2078329    79300253      3 
2074939    79334283^^ 
.._.^A.,     7936829-3^ 

7940226339^ 
7943621I33V3 

8.7947014,33^0 
795o4o4J33g 

795  379'!338.4 

7?5  7i75|338.2 

7?6o557l338o 

7963937:33^.6 
8.796  73i3  33    4 

7970687)33^.2 
797  4059  33g 

797  7428i33gg 

7980794335.4 
798415833Q., 

8-7987519335.9 
799  0878  335.g 
7994234,335.3 
799  7587,335.  J 
80009383348 
.^4286334.6 
8.8007632133^.3 
8010975,334., 
801  43i6  333.8 
801  7654  333.5 
8020989333.4 

802  4323  333  o 

8.802  7653  332  8 
8030981 1 332^5 
8o3  43o6  332*3 
803762933^:, 
8040950  33, 
8044267 1 33,^6 

8.8o4  7583,33  3 
8050896,,^  ■ 
1954639  8o5  42o6"*'^'" 


■ec. 


d-1' 


207  id52 

2068168 

206  4786 

11.206  i4o6 
2o5  8o3o 
2o5  4656 
2o5  1284 
2047915 
204  4j49 

11.204  1 186 
2o3  7825 
2o3  4466 
2o3  1 1 1  I 
202  7758 
202  4407 

11.202  1059 
201  7714 
201  4371 
201  io3i 
200  7693 
200  4358 

11.200  1026 
1997696 
1 99  4369 
199  io44 
1987722 
1984402 

11.198  io85 
197  7770 
1974458 
197  1149 
196  7842 
1964537 

II. 196  1236 
195  7936 


195  1 345 

1948053 

1944764 

11.194  1477 


sec. 


8o5  75i4 

8060819 

8o64t22 

8.806  7422 


330.8 
33o.5 
330.3 
33o.o 


co-tang. 


ii.2i3  5i3 
2i3  168 
212  8234 
2124785 
212  1339 
211  7896 

1 1.21 1  4456 
211  1018 
210  7583 
2io4i5i 
2100721 
2097294 

11.2093870 
209  o448 
208  7029 
2o8  36i3 
208  0200 
207  6789 

1 1 -207  338o 
2069975 
206  6572 
206  3171 
2o5  9774 
2o5  6379 

ii.2o5  2986 

2o4  9596 

2o4  6209 
2o4  2825 
2o3  9443 
2o3  6o63 

ii.2o3  2687 
202  93 1 3 
202  5 
202  2 
201  9206 
201  5842 

11.201  2481 
2009122 
2005766 
200  24 1 3 
1999062 

199  5714 

II. 199  2368 
198  9025 
1985684 
198  2346 
197  9011 
197  5677 

II. 197  2347 
1969019 
196  5694 
196  2371 
195  9o5o 
195  5733 

II. 195  2417 
1949104 
194  5794 
194  2486 
1939181 
193  5878 

1 1. 193  2578 


dif.l" 


10.0008108 

8121 

8i34 

8147 
8160 

8173 

10.0008 1 85 
8198 
8211 
8224 
8237 
8250 

10.0008263 
8276 
8289 
83o2 
83i5 
8328 

1 0.000834 1 
8355 
8368 
838 1 
8394 
8407 

10.0008420 
8433 
8446 
8459 

847^ 
8486 

10.0008499 
85i2 
8525 
8539 
8552 
8565 

10-0008578 
8592 
86o5 
8618 
863 1 
8645 

io.ooo8658 
8671 
8685 
8698 
8711 
8725 

10.0008738 
8751 
8765 
8778 
8792 
88o5 

10.0008818 
8832 
8845 
8859 
8872 
8886 

10.0008899 


tang. 


1-3 
1.3 
1.3 

1.3 

1.3 

1.2 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1-4 

1-3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.3 

1.4 
1.3 
1.3 
1-3 
1-3 

1.4 
1.3 
1.3 
1.3 

1.4 
1.3 
1.3 
1.3 
1.4 
1-3 
1.3 
1.4 
1.3 
1.3 

1.4 
1.3 
1.3 

14 
1.3 
14 
1.3 
1.3 

14 
1.3 

1 4 
1.3 

1 4 
1.3 


9.9991892 
1879 


co-Bin. 


30' 
5o 
40 
3o 


co-sec. 


1866 
i853 
1840 
1827 

9.999181529' 
1802 
1789 
1776 
1763 
1750 

9.9991737 
1724 
1711 
1698 
i685 
1672 

9.9991659 
i64d 
i632 
1619 
1606 
1593 

9.9991580 
i567 
i554 
i54i 

l527 

i5i4 

9.999150 1 

i488 

1475 
i46i 
i448 
1435 

9.9991422 
i4o8 
1395 
i382 
1369 
i355 

9.9991342 
i329 
i3i5 

l302 

1289 
1275 

9.9991262 
1249 
1235 
1222 
1208 
1195 

9.9991182 
1168 
ii55 
ii4i 
1128 

iii4 
9.9991 101 


d.1" 


20 
10 


5o 

4o 

3o 

20 

10 

2a' 

5o 

4o 

3o 

20 

10 

27' 

5o 

40 

3o 

20 

10 

26' 

5o 

40 

3o 

20 

10 

25' 

5o 

40 

3o 

20 

10 

24' 

5o 

4o 

3o 

20 

10 

23' 

5o 

40 

3o 

ao 

10 

22' 

5o 

4o 

3o 

20 

10 

21' 

5o 

4o 

3o 

20 

10 

20' 


■in. 


93° 


g6° 


180 


LOGAEITHMIC     SINKS,     TANGENTS,     ^fec 


3^ 


1T««» 


a  I  ill  J* 


tt^-mx. 


m 

lO 

ao 
4o 


8A>5  85a3^3^g_5  ii.  1941 477 


5o 


806  itktH'.^  ^ 
8068369:;,:!; 

807  4920:  :;^,'; 
4l'|SJo7  8i93^^,"^ 

to    808  i462.3^j^'° 

ooo  799'*' 3»|;  «» 

000  ''233'! '3,^ 

8o9  45r5"^^;!' 


ao 

■Syflk 


to 

iijlliil 
'ilO 

5d 


193  8192 

19349'! 

193  i63i 

1938354 

19a  5o8€ 


tMf .      liiiC.  t 


ClMilllf. 


3i9.8"!?^!?Z* 


WB>8o9^— '2  ^,-\  11.1902528 


8.8<:»6  742 '2 
8c:'»7  0720  -   -  ^ 

807  4016:  f9-*> 

8077309^9-^ 

808  o5o9  ^^9-^ 

11.19a  i8o8p.8o8  7i7a  ,"'5  11.191  2828 
1918538    809 0455 :5:Jf      1909S45 

8097014,'^    1902986 

810  oa^^  2^'?' 

327-1 


191  5271 
191  2007 
190 

190  5485 


«'°  4^9:3,5.0 


81:1  0'-''T6i, 
ill  4oai 


324.  :3 
324.3 


i59'89-''3 
189  5721 
1892471 

188  92 '24 

r88  59T<a 


«'8.8ii  7264^:j"  11.18827368.8126407  ,f" 
10  8i2o5o4t3°  18-9496  81a 9661  j^J^-f 
ao    8123-41,'^*:      1876250    8i3a9ta!r.' 


'<JO 

4o 
5o 


e      ,       ,323.6 

«''5'^n3.3.3 

813  0'209 ',.,:.  ^ 

1  i  J4"i'>'^      c 

|M'l8Ji36668!,"-r 

8i3  9893i„i 

814  3 1 H,""^^ 

814  633-1^"-^! 
i4  9:>3h|3,jj^g, 


11 


10 

ao 

4o 
So 

15 
10 

ao 
3o 
40 

10 

ao 

4o 

nJr'M' 

17' 
10 

ao 
'3o 
4o 


187  3oaJ 
1860791 
1866M0 
186  333a  8.814 
1860107  8 
185  6883 
1 85  3663 
i85o444 


8io35t)3' 

8.8106834 

811  oioa 
811  3368 
811  663i' 
811  9893 
8ia  3i5i 


326.8 

3'26.6 
326.3 
3>6.:> 
3'3  5.8 
325.6 


81 5  ai^Tai-j   .  r, 


816  ao66 


184  "^"aaS 
8.8155985^::";  ii.i84  4oi5  8Ji65294  t'    «. 

8i5  9i96|3^'|   i84oSo4  8i685i9^^^-^ 

816  a4o5h.,n'-rl  i83  75o5 
"-'"  lJio.7,  ,834388 

1 83  1184 

18a  798a 


3ao.2 


Bi6  56i2 

816  8816 
Si'T  2018 

8.817    5217    3, g 

817  84 1 4^  3  ((^_4 

818  i6o8i'3,-.j  1 

«»»'^W3i,8.7 
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Im  «        *"^  790^ 

|2?ii.i82  47838.8i846o8.  ,  , 

^'^"         i82i586    8187819^'-* 
1818392     " '•■^ 

181  5199 
i8i  2009 
180  882  2I 


8i3  6?6l'?^t9; 

8i3  94o8;^Jj-]:i 

814  a65aJf  t  ' 

14  5894  ft  ^ 

323.5 


81 5 2370 

8!  5  883'^"-' 


'irl 


co-iin. 


32a 


22.0 
22.8 


817  1741 
8174962 
8178180 

818  i3g5 


3aa.a; 
3aa.i 
321.8 
321.51 
3a  1. 3 


"§9  ioa»^      ? 

U.Z  i.-ii  320.0 
019  4234  ,^,,   / 

81974  38if^'* 

8'aoo63r''^^'^-' 


8.819  4363^ 3, g  3111.180  563'?|8.8ao 


1899710 
1^9643? 

11.1893166 
1889898 
188^6632 
188  3369 
1880107 
1876849 

11.187  3593 
1870339 
1867088 
186  3839 
186059a 
185734?* 

ri.i854io4i 
1850867 
184  763ci 
1844395 
184  1 163 
1 83  7934 

ii.i83  4-'o6 
i83  1 48 1 
182  8259 
18a  5o38 
1 8a  i8ao 
1818605 

II. 181  5392 
181  2181 
i8o89-'a 
180  5^66 
180  2562 
J799%i 


8'i9  7546]3,8;, 
8aoo7'2-7"!3j^g 
8ao  3905 '  3 1  ^  'fi 
8ao'7oSi!3j^"3 

821  025i  ■»,,", 
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10    8ai6594,fi? 
8219^13,5^ 

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822  608^1 3  J  ij"^ 


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4o    822  608^;  3 ,  ij"  '  I  ^'  391 3 

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8,823a,4b4  7,c"s  II 

8a3  5559^^^ 

8a3  87ii  ''"'^ 


180  2454 

fyg  9273 

1  -9  tx>95 

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1-89-46 

i78  65^'5,8.822  29^4 ^'2  •, 

1-8  3406;  82a  6167: fj-^ 
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176  laSo 
1-5  81 38 

1-5  499:> 
1-5  1844 

11.1758701 


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8.8a6ioa6^'^" 


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1786578 
1 78  3389 
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1 1. 177  7016 
1^-3833 
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1-64299 
176  1125 

11.1757954 
175  4^85 
175  1618 
1748453 
174  5291 
I74ai3i 

11.1738974 


m-tMos.    idiCl"    uac. 


10-0008890 

8913 

8926 

•  8940 

8953 

8967 

10.0008980 
8994 
9007 
9021 1 
9o35: 
90^8 

10.0009062' 
90-5 
9080 

91  o3, 
91 16 
9i3o 
10.0009144' 
915- 
91-1 

9l85; 

9 ''9^1 
921  a| 

10.0009226; 

92401 

9253! 

930T' 

9281 

9295! 

10.0009309 
9322 
9336| 
9350 
936^1 
93781 

10.000939?' 
94o5 
9419I 
9433 
9I4- 
9461 

10.0009.i75 
9480 
95oi; 
95  it' 
953 1 
9545 

10.0009559I 
95'-r3! 

9587 
9601 
9615 
96a9 
10.0009643 
96571 
9671 
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10.0009727 


4  9999"o» 

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1074 

1060 

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10 
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4o 
3o 

20 
10 


9.9990774 

0760 

0747 
0733 


0719 

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0664 

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4         ^^5 

4 


o56i 
o567 
o553 
0539 


49-9990525 
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co-«ec 


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20 
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20 
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0469  20 

10 

12' 

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10 

II 

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4o 

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20 
10 

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042 

o4i3 

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•3^ 


LOGARITHMIC     SINES,     TANGENTS, 


dec . 


181 


30 


17«= 


50' 
10 
ao 
3o 
4o 
So 

51 
10 
ao 
3o 
4o 
5o 

5i' 
10 
ao 
3n 
4o 
S<> 

53 
10 
au 
3( 
4<) 

So 
S4 


iin. 


4if.r 


3i4.i 


co-sec. 


8.825  1299 

8254440  3,3  q' 

825 -579!,.  ^x* 

or         ■  £lJl  J-7 

826  385o^3^-f 

8266982^  ^; 

8.82701125  f« 

827  324o 
827  6365 

827  9488 

828  2609 
8a8  5728 


II 


3i2.5 
3ia.3 
3ia.i 

8.8a8  8844K!!x 
8291958^^''-'* 


11 


II 


tang. 


dif.l" 


8 


8. 


3ii.a 
310.9 
3 10.8 
3 10.5 
3 10.3 
3io.i 
309.8 
309.6 
3094 


i(» 
ao 
3o 
40 
5.1 
55 
III 
au 
3<"j 
4o 
'k 
56* 
10 
20 
3o 
4o 
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57 

lO 

20 
3o 

4o 
So 

5d 
10 

ao 

3o 

4o 

So 

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•ji 
3.. 
4< 


829  3070 
8298179 

830  1 287 

830  4392 
8.8  3o  749S 

8310596 

83 1  3694 
83 1  6790 

83aa9T6r9^ 
8.832  6o6*>r9*!i 

833  2238  J^  1 
833  5321  ^'^'^ 

833  8402 

834  1 48 1 
8.834  4557 

834  7631 

835  O7o3 


3oS.i 
307.9 

3o7-6 

307.4 
307.2 


II 


8 


II 


8 


II. 


033  070  J  3q_  J, 

835  3773  1^  f. 
835684.  g^:^ 
83:»99i6  3^3 

8.8362969,3^^ 

836  909013^3  g 
8J7  J  14613^,5  5 
5i7  ->^Om3o5  3 

837  8234  3o5"o 

8.838  i3o4;^^o 

838  4352Jg^;° 

838  739Sj3^^^ 

839  0442  U-, 

839  3484!^^ 
839  6323(3^3  g 

8.839  956 1!  3^315 


II 


II 


84o  2596 
84o  5629 
840  86  3 1 
84i  1690 
84i  4716 
8.84 1  7741 
84a  0764 
84a  3784 
8426803 

842  9819 

843  2833 
S(yl8.843  5845 


co-tin. 


3o3.3 
3o3.2 

302.9 
3o2.6 
3o2.5 
3o2.3 
3o2.o 
301.9 
3oi.6 

3oi4 
3oi.2 


II 


II 


ditl" 


174  8701  8 
i74S'56<") 
I -4  242 1 
1739284 
i736i5o 
173  3oi8 
1729888 
17a  0760 
172  3635 
1720S12 
171  7391 

171  42-72 

171  1 1 56 
1708042 
170  4930 
170  1821 
1698713 
1695608 
,1592505 
168  9404 
i68  63o6 

168  3210 

1680116 
1677024 
.167  3934 
167  084":' 
166  7762 
166  4679 
166  1598 
1638319 
i65  5443 
i65  2369 
1649297 
164  6227 
1643159 
1640094 
i63  7o3i 
i63  3969 
1630910 
162  7854 
162  4799 
162  1746 
.16186968 
161  5648 
161  a6o2 
1609558 
i6o65i6 
160  3477 
,16004398 
1 597404 
1594371 
iSo  1 339 
i58  83io 
iS8  5a84 
.i58a2Sg8 
1 57  9236 
1S76216 
1 573107 
1570181 

1567167 

i564i55 


eo-tanf. 


sec. 


.826  1026't  c  fi 
8264182!^  J-^ 
8267335^^-^ 

827  04853  J^ 
8273634:3  J /? 

8^7  678o!^;t5 
.82799243   . 

828  3o56  ,7^ 

828  6206  ^;f^ 

828934313^35 

8^9^4783.3.3 
82956113,3^^ 

.8298^41  3,31. 

83049963  4 
83o8i.93^'^ 
83i  i34i  3"-^ 
83i  4360,  Z 
83i  7478  f.? 
832oS93|  -^ 
832  37o5'3jjj 

832  63i6",,^"q 

.833  6.341^^; 

833  9236^^-^ 

834  2336'^*^-^ 


41' 


309.- 
309.5 


8 


8 


11 


II 


II 


II. 


■ee. 


8 


834  5433 

834  8528  q  •  , 

835  1621 :5^f 
.83547123^' 
8357801,^,? 

836o887;S«/ 

836  39-.!^^-^ 

836  7053  3  «• 

837  0.33;3«8x' 
•837  321 1  3^^ V 
837  628-!  f^-^ 

837  936o:^^-^ 

838  2432irZ- 
838  55oi!^;9 

838  8308' ,v^  r 

839  •633:]^-J 
8394^3953^;, 

Rx2o8iii3o5.8 
8400814  3^5 

840  3871  t,^c  / 
84069^5:33°:^ 
•84o?977|3„5,,/i 

841  ^^:  3o4.8 
841  6075  3^4  6 
^/  9'^i  3^.3 
84221643^, 

84a  5206^4-^ 
.84a  8245  r  [9  „ 

8431282^3;^ 
8434318U  .^'^ 

843  735i'^^-^ 

844  o382 
8443410 
844  6437 


11.1738974  10.0009727 
173  58 18  974> 

173  2665  9755 

1729515  9770 

17a  6366  9784 

17a  3220       9798 

1 1 .  172  0076  10.00098 1 2 

171  6934       9826, 

171  3794       ^40 

171  o657     98S5 

I70  75aa     9869 

1704389     9883 

11.170  1259  10.0009897 

1698131     99«i 
169  5oo4     9926] 
169 1881     9940, 
1688759     9954| 
168  564o     9968 

ii.i68aS22  10.0009983 
167  9407  10.0009997; 
1676295  10.001001 1| 
1673184  0026, 
167  0076  oo4o 
1666970     oo54 

11.166  3866  10.001 0060 
166  0764  oo83: 
1 65  7664  0097 
1654S67  01 1  a 
1 65  1472  o'26 
1648379  oi4i! 
164528810.0010155 
164  2199  0169 
163911 3  oi84 
1 63  6029  0198} 
i63  2947  02 1 3 
162  986-  0227 
,162678010.0010242 
1623713  0256 
162  o64o     0271 


9.9990273.  !(>' 
0230  So 


e«>-flin. 


1.4 
1.4 

I   iiJi 

i4 
i'4 

I*49-9990>88 

i4 
1.5 
1.4 

1 .4' 

Jj  9.9990103 

1.4 

1 4 
1.4 
1.5 


oa4 
oa3o 
oai6 
0202 


01-4 
0160 
0145 
oi3i 
0117 


4o 
3o 
20 

10 

y 

So 
4o 

20 
10 

8' 

So 

00-4  40 

0060  3o 

oo|6l  20 

10 

7' 

So 


oo32 


,9.9990017 
19.9990003 

79.99899^9  4o 

i4|         99-4  ^ 

;!         9946 
;>-998??3. 


99':: 
9903 

9888 

98-4 

9859 


eo4aiif. 


3o3.i 
3o2.8 
3o2.7 


161  7568 

161  4499 

161  1432 

.160  836; 

160  S3o5 

160  aa44 

1599186 

1596129 

1593075 

.1590023 

158  69^3 

158  3925 

i58o8t9 

157  7836 

1574794 

.i57  1755 

1 56  8718 

156  5682 

1562649 

1559618 

i65  6590 


0285 
o3oo 

o3i4 
10.001  o32 

o34 
o358 
0372 
o387i 

o4o2i 
10.0010416 
043 1 
0445 
0460 
0475 
0489 
10.001  o5o4 
o5i9 
o533 
o548 
o563 
oS: 


1-4; 

i-4l 
1.5 

1.4^ 
1.5 
1 4 
1-5 

I -41 

I;]  9-9989758 
1.5,     9744 

i4    972 

1-5      ?ZL. 

A         9700 

;f  96B6 
,4  999896: » 
1. 5 


3o 
9960]  20 

10 

6' 

5o 

4o 

3o 

20 

10 

5' 

So 

40 

3o 

20 

10 

4' 


9831 
9816 
9802 
9787 
9773 


I  o&l 

1.5; 

1.5 

1.4 
1.5 

1.4; 
i.Sl 
1.5 
14! 
5 
.5 
i4 
1.5 
1.5 
1 4 
1.5 


ii.i55  3563  10.0010S92 


96S 
9642 

9628 
9613 

9598 
9.9989584 
956^ 
95S3 
9540 
9525 

1  5    95' I 

9467 
9452 

9437 

9423 

9.9989408 


ditl" 


VUQkfii* 


OO-MC 


'AV 


5o 

4o 

3o 

20 

10 

3' 

So 

4o 

3o 

20 

10 

2' 

5o 

40 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 


930 


86° 


1'0« 


LOGABITHMIC     SINES,     TANGENTS,     &C. 


175° 


SI'llw 


8v843  S845 

843  8855 

844  1 863 
844  4W>o 

73\ 


3oo.6j 

844  7^73! -^r^"' 
845«:*74,      , 

8.845  3874L,;;;;-" 

845  9^;f>'r99A 

84rt'>86<„>!^99-^ 
299. 

;>98.9 


846  5851 

846  8840 

8.84?  '827 

847  48 1  a 

^^7  77951  .^,^_, 

848o776Lr;  _ 


11') 

3<. 
41: 

5(; 

1' 

10 

X) 

4o 
So 

Kl 

3( 
4o 

■JWj 

3' 

10 

70 

3<. 

4o 

4' 
10 

3a 

4<» 

5t 

5' 

10 

20 

3o 

4o 

5o 

6' 

10 

ao 

3o 

4o 

5o 

10 

20 

3o 

4o 

5o 

8' 

10 

20 

3o 
4o 

9' 
10 
ao 
3o 
4o 
5o 
10'  8.861  2833 


'die 


loin  "-'^4155 
^*^'*°   i56ii45 
1 55  81 37 
i55  5i3i 

1 55  2 1 27 


1 54  91 26 
If  .1546126 
i54  3i2- 
1 54  oj  3. 
1537140 
1 53  4149 
1 53  1 160 


tanf. 


diC  I ' '      co-tang. 


? 


848  3755,^^, 

848  6-32  '97 

8.8489707   97-^ 

849  2679 
849  565o 
8498619 
85(h5n5 
8'5o  455o 

8.85075 1 3 
85 1  0473 
85 1  343 1 
85i  6388 

85 1  9342 

852  3995 
8.852  5245 


^9^*5  1 1. 1 528173 
298:3      '^^5r88 

^  1 52  22o5 

i5i  9224 
1 5 1  6245 
i5i  3a68 


297-2 

297-1 

296.9 

2966 

296-5 

296.2 

296. 1 

295.8 

295.  ■; 

295.4 

295.3 

295.0 

852  8193  ?9j-^ 

853n4oN-7 

853  4o84^2t; 
853  7056  .^r." 

853  996^  jr*- 
8.854  2905  '9j-» 

854  5842  '9^] 

854  8776  3'9^-4 

855  «7o8r9^-2 

8.8560493   9^-^ 

856  34 1 8 

856  63jo 
8569261 

857  2 1 79 

857  5096 
8.8578010 

858  0923 
858  3834 
858674a 

858  9649 

859  2554 
8.859  5457 

859  8357 

860  1256 
86041 53 
8607048 
8609941 


8.844  6437 
8449462 
845  2485 
845  55o5 

845  8524 
8461 540 

8.846  4554 

846  7567 

847  o577 

847  3585 
8476591 

8479595 
8.848  2597 

848  5597 
848  8595 
840  1 590 
8494584 
8497576:^ 


ii.i5i  o293  8.85oo5()6l 


3oa.5 
3o2.3 
3o2.o 

^^'*9 
3oi.6 

iioi  .4 

3oi.3 

3oi.o 

3oo.8 

3oo.6 

3oo.4 

3oo.2 

3oo.o 

299.8 

299.5 

399.4 
299.2 

990 


see. 


II 


CO-SIII. 


292.5 
292.2 
292.1 
291.8 
291.7 
291.4 
291.3 
291 

390.8 
290.7 

290.5 
290.3 
290.0 
289.9 
289.7 
289.5 
289.3 
289.2 


1 5o  732 1 
i5o  43 5o 
i5o  i38i 
1498415 
149  545o 
.  1 49  2488 
i48  ^527 
1486569 
i48  36i  3 
i48o658 
!47  77"5 
11.1474755 
147  1807 
1468860 
146  5916 
1 46  2974 
146  oo33 
11.1457095 
145  4 1 58 
i4Srfip24 


85o  3553  im 
85o6539^^-5 

850  9522  =*?8-3 
85i  25o4  '98-2 

85 1  5483  '97-9 
8.85i  846i 

852  1436 
85a  44 10 

852  738 1 
853o35i 

853  33 1 8 
8.8536283 

853  9247 

854  2208 

854  5i68 
8548125 

855  1081 
8.855  4o34 

8556985 


did'* 


144^292 
144  536 1 
144  3433 

11.1439507 
1436582 
i43  366o 
143  0739 
143  7821 
143  4904! 

11.143  1990 
i4i  9077 
i4i  6166 
i4i  3258 
i4i  o35 
i4o  7446 

11-1404543 
i4o  1643 
1 39  8744 

139  5847 
1 39  2952 
1390059 


855  9935 

856  2882 
856  5828 
8568771 

8.857  171 3 


857  4653  ^94.o 
'  293.7 

293.6 

393.4 

393.1 

293.0 

392.8 


857  7590 

858  0526 
858  3460 

858  6391 
8.8589321 

859  2249  ___fi 
859  5175  ^?2-o 

8598099 

860  1031 
8603941 


II.  155  3563 
i55o538 
i54  75i5 
1544495 
1 54  1476 
1.53  8460 

11.153  5446 
1533433 
1 52  9423 
i52  64i5 

1 52  3409 

1 53  o4o5 
ii.i5i  74o3 

i5i  44o3 
i5i  i4o5 
i5o84io 
i5o54i6 
i5oa434 
11-1499434 

1496447 
1493461 
149  0478 
1 48  7496 

297-8  „  MS  ^ci^ 
2n-T'iM'-*48i539 

147  8564 

147  5590 

147  2619 

1469649 

1466682 

I46  37I7 

1460753 

145  7793 

1454832 

i45  1875 

1448919 

1445966 

i44  3oi5 

1 44  oo65 

1437118 

1434173 

143  1229 

Ii.i4a8a87 

1 4a  5347 

i4a  2410 

i4i  9474 

i4i  654o 


397.5 

397.4 

297 

397.0 

296  7 

296.5 

296.4  '  * 

296 

296.0 

295.7 

295.6 

295.3 

295.1 


u. 


295.0 

294-7 
294.6 
294.3 
294.2 


i4i  36od 
ii.i4i  0670 


10.0010592 
0607 
0622 
o636 
o65i 
0666 

10.0010681 
0695 
0710 
0725 
0740 
0755 

10.0010770 

0784 
0799 

0814 
0839 

0844 
10.0010859 

0874 
0889 

0904 
0918 
0933 
10.0010948 
0963 
0978 
0993 
1008 

I023 

10.001  io38 
io53 
1068 
1084 
1099 

1114 
10.0011129 

ii44 
it59 

U74 

1189 

1304 
10.0011220 
1335 
i35o 
1365 
1280 
1295 


d.l' 


1-5 
1.5 

i.4 
1.5 
1.5 
1.5 
1.4 
1.5 
1.5 
1.5 
1.5 
1.5 

1.4 

1.5 

1.5 

1.5 

1.5 

1.5 

1.5 

1.5 

1.5 

1.4 

1.5 

1.5 

1.5 

1.5 

1.5 

1.5 

1.5 

1.5 

1.5 

1.5 

1.6 

1.5 

1.5 

1.5 

1.5 


C1V4III. 


9.9989408 
9393 
9378 

9364 
9349 
9334 

9.9989310 
930  5 
929c 
9275 
926^ 
9245 

9.9989230 
9216 
9201 
9186 
9171 
9i56 

9.9989141 
9126 
9111 
9096 
9082 
9067 

9.9989052 
9037 
9022 
9007 
8992 

8977 
9.9988963 

8947 


4i  0679  10.001  i3r  I 


8.8606859 
8609775 
861  2689 

861  56oi 
86i85i3 

862  1420 


I  i.i38  7167(8.862  4327 


292.4 
292.2 
392.0 
291.8 
291.6 
391.4 
391.3 
291.1 
290.8 
290.7 


II 


i4o775i 
1404825 
i4o  1901 
1398979 
1396059 
i393i4i 

l30  0225 

i38  73ii 
138  4399 
i38  1488 
1 378580 
11.1375673 


■«c 


Go-tanf. 


diCl" 


tanf. 


1326 
l34i 
1356 
137a 

i387 
10.0011402 

1417 
1433 

1 448 
1463 

1479 
10.001 1 494 


1.5 

1.5 

1.5 

1.5 

1.6 

1.5 

1.5 

1.5 

1.5 

1.5 

1.6 

1.5 

1.5 

1.5 

1.6 

1.5 

1.5 

1.5 

1.6 

1.5 

1.5 

1.6 

1.5 


8932 
8916 
8901 
8886 

9.998887 
8856 

8841 
8826 
8811 
8796 

9.9988780 
8765 
8760 
8735 
8720 
8705 

9.9988689 

8674 
8659 
8644 
8628 
86 1 3 

9.9988598 
8583 
8567 
8552 
8537 
85ai 

9.9988506 


CO-MC 


d.r 


■m. 


60' 
5( 
4o 
3o 
20 
10 
5fl' 
5o 
4o 
3o 
20 
10 
G«' 
5o 
4o 
3o 
20 
10 
.57' 
5o 
4o 
3o 
20 
10 
.%' 
5o 
40 
3o 
20 
10 
55' 
5o 
4o 
3o 
20 
10 
54 
5o 
4o 
3o 
20 
10 
5.3' 
5o 
4o 
3o 
20 
10 
52 
5o 
4o 
3o 
20 
10 
51' 
5o 
40 
3o 
20 
10 


940 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


183 


40 


175° 


am. 


diCl' 


10' 
10 
30 
3o 
4o 
5o 
11 
10 
20 
3o 
40 
5o 
12 
10 
20 
3o 
40 
5o 
13 
10 
20 
3o 
40 
5o 
14' 
10 
20 
3o 
40 
5o 
15' 
10 
20 
3o 
4o 
5o 
16 
10 
20 
3o 
40 
5o 
17 
lo 
20 
3o 
40 
5o 
18 
10 
20 
3o 
4o 
5o 
19' 
10 
20 
3o 
4o 
5o 
20' 


85° 


8.861  2833 
861  5722 

861  8609 

862  1495 
862  4378 

862  7259 

8.863  0139 

863  30I7 
863  5893 

863  8766 

864  1 638 

864  45o8 

8.864  7376 

865  0243 
865  3 107 
8655969 
865  8b3o 
8661689 

8.866  4545 
8667400 
867  0253 
867  3io4 
86-7  5953 

867  8801 
8.868  i646 

868  4490 
8687331 
8690171 

869  3009 

869  5845 
8.8698680 

870  l5l2 

8704343 

870717' 
8709998 

871  2823 
8.871  5646 

871  8467 

872  1287 
872  4io5 
87a  6920 

872  9734 

8.873  2546 

873  5357 
8738165 

874  0972 

874  3776 

8746579 

8.874  9381 
8752180 

875  4977 

875  7773 

876  0567 
876  3359 

8.8766150 

876  8938 

877  1725 
8774510 

877  7293 

878  0074 
8.878  2854 


co-sec. 


288.9 

288.7 

288.6 

288.3 

288.1 

288.0 

287.8 

287.6 

287.3 

287.2 

287.0 

286.8 

286.7 

286.4 

286.2 

286.1 

285.9 

285.6 

285.5 

285.3 

285 

284.9 
284.8 
284-5 
284.4 
284.1 
284.0 
283.8 
283.6 
283.5 

283.2 

283 

282.8 

282.7 

282.5 

282.3 

282.1 

282.0 

281.8 

281.5 

281.4 
281.2 
281. 1 
280.8 
280.7 
280.4 
280.3 
280.2 

2799 

279.7 
279.6 

279.4 
279.2 
279.1 
278.8 

278.7 
278.5 
278.3 
278.1 
278.0 


tang. 


diCl" 


1 1. 1387167 
138  4278 
1 38  1391 
i37  85o5 
i37  5622 
1 37  2741 

11.1369861 
1366983 
i364io7 
1 36  1234 
135  8362 
1355492 

ii.i35  2624 

1349757 
i3468o3 
1 34  4o3 
i34  1170 
i33  83n 
11.133  5455 
i33  2600 

1329747 
1326896 

1 32  4o47 


l32  I  I 


,§ 


co-sin. 


ii.i3i8354 
i3i  55io 
i3i  2669 
1309829 
1 306991 
i3o4i55 

ii.i3o  i32o 
1298488 
1 29  5657 
129  2829 
1390002 
1287177 

11.138  4354 
128  i533 
127  8713 
1 27  5895 
1273080 
1270266 

11.126  7454 
126  4643 
1261835 
1259028 
1256224 
1253421 

11.1250619 
1247820 
1 24  5o23 
124  2227 
1239433 
I23  664I 
123  3850 
123  1062 
122  8275 
122  5490 
122  2707 
121  9926 
II. 121  7146 


diCl" 


II. 


8.862  4327 

862  723 1 

863  01 34 
863  3o35 
863  5933 
863  883o 

8.864  1725 
8644618 
8647510 
865  0399 
865  3286 
8656172 

8.865  9055 
8661937 

8664817 
8667695 

867  o57  r 

867  3445 

8.8676317 
8679187 

868  2056 
868  49^3 

868  7787 

869  o65o 
8.869  35 1 1 

869  6370 

869  9228 

870  2o83 
870  4937 

870  7789 

8.871  o638 

871  3486 
871  6333 

871  9177 

872  2019 

872  4860 

8.872  7699 

873  o536 
873  3371 
873  6205 

873  9o36 

874  1866 
8.874  4694 

874  7520 

875  o344 
8753166 
875  5987 

875  8806 

8.876  1623 

876  4438 
8767251 
8770063 

877  2873 
8775681 

8.877  8487 

878  1291 
878  4094 
878  6895 

878  9694 

879  2491 
8.879  5286 


co-tang. 


290.4 
290.3 
290.1 
289.8 

289.7 

289.5 

289.3 

289.2 

288.9 

288.7 

288.6 

288.3 

288.2 

288.0 

287.8 

287.6 

287.4 
287.2 
287.0 
286.9 
286.7 
286.4 
286.3 
286.1 
285.9 
285.8 
285.5 
285.4 

285-2 

284-q 
284-8 

284.7 
284-4 

284-2 

284.1 
383-9 
283.7 
283.5 
383-4 
283 


sec. 


d.l" 


sec. 


283.0I 
282.8 
382.6 

282.4 
282.2 
282.1 
281.9 

281.7 

281.5 

281.3 

281 

281.0 

280.8 

280.6 

280.4 

280.3 

280.1 

279.9 

279-7 
279.5 


11.137  5673 
1 37  2769 
1369866 
1366965 
1864067 
i36  1170 

II. 1358275 
135  5382 
i35  2490 
1349601 
1346714 
1343828 

11.1340945 
i33  8o63 
i33  5i83 
1 33  23o5 
182  9429 
i32  6555 
ii.i32  3683 
1 32  08 1 3 
i3i  7944 
i3i  5o77 

l3l  22l3 

1809350 

1 1 . 1 3o  6489 

1 .3o  863o 

1 300773 

129  7917 
1 29  5o63 
129  23r T 
11.1289862 
i28  65i4 
1288667 
1280828 
1277981 

1 27  5 1 40 
11.127  2801 

1 26  9464 

1 26  6629 

1 26  8795 

1 26  0964 

1   1258184 

11.125  58o6 

125  2480 

1 24  9656 

1246884 

1244018 

1 24  1 1 94 

11.1288877 

138  5562 

128  2749 
122  998"' 

123  7137 
122  4819 


eo-tang. 


10.0011494 
1523 

i54o 
1 555 
1571 

10.0011 586 
1602 
1617 
1682 
1648 
1668 

10.001 1679 

1694 
1710 
1725 
1741 
1756 
10.0011772 

1787 
i8o3 
1818 
i834 
i84q 
10.001 1665 
1881 
1896 
1912 

1927 
1943 

10.0011959 
1974 
1990 
2000 
2021 
2087 

10.001 2o58 
2069 
208^ 
2100 
2116 

2l3l 
IO.OOI2l4'T 

2i63 
2170 
2195 
2210 
2226 
10.0012242 

2258 

3374 

2290 

23o5 

2821 

10.0012837 

121 8709!    2853 

121  5906     23'9 


co-«in. 


1.5 

1.6 

1.5 

1.5 

1.6 

1.5 

1.6 

1.5 

1.5 

1.6 

1.5 

1.6 

1.5 
1.6 
1.5 
1.6 
1.5 
1.6 
1.5 
1.6 
1.5 
1.6 
1.5 
1.6 
1.6 
1.5 
1.6 
1.5 
1.6 
1.6 
1.5 
1.6 
1.6 
1.5 
1.6 
6 
.6 


9.9988506 

849» 
8475 
846o 
8445 

8429 

9.9988414 

8898 


11.122  i5i3 


dif.l" 


121  3io5 

121  o3o6 

1207509 

II. 120  4714 


tang. 


2385 
2401 

2417 
10.0012433 


co-scc. 


1 

I 

1.5 

1.6 

1.6 

1.5 

1.6 

1.6 

1.6 

1.6 

1.5 

1.6 

1.6 

1.6 

1.6 

1.6 

1.5 

1.6 

1.6 

1.6 

1.6 

1.6 

1.6 

1.6 

1.6 

d.i" 


83b8 
836t 
8852 
8337 

9.998882 
8806 
8290 
8375 
8359 
8344 

9.9988338 
8218 

8197 
8189 
8166 
8i5r 

9.9988135 
81 19 
8io4 
8088 
80-78 
8o57 

9.998804 1 
8026 
8010 
7994 
79TQ 
79^3 

9.9987947 
7981 


50' 
5o 
40 
3o 
20 
10 

49' 
5o 
40 
3o 


7916 
7900 
788.^ 
786<? 

9.9987853 
788- 
7821 
7805 
7790 
777^ 

9.9987758 
7749 
7726 
7710 
7695 

7670 
9.9987668 

7647 
7681 
7615 

7599 
7583 

9.9987567 


20I 

lol 

g. 

5o 
40 

3o 

20 

10 
47' 

5o 

40 

80 

20 

10 
46' 

5o 

4o 

80 

20 

10 
45' 

5o 

40 

80 

20 

10 
4i' 

5o 

40 

3o 

20 
10 

13' 
5o 
4o 
3o 
20 
10 

42- 
5o 
4o 
3«» 
20 
10 

41' 
5o 
40 
3o 
20 
10 

40' 


Bin. 


94< 


g5<» 


2;F  8.878  2854 
10  8785531 
20  878  8407 
3o  879  1 181 
4o  879  3954 
5o  879  6734 

21' 8.879  9493 
10  880  2360 
20  880  5o?6 
3o  880  7789 
4o  881  o55i 
5o  88i33ii 

»|8.88i 

881  882 

882  i58o 
882  4333 

882  7084 
8B2  9S34 

8.883  a58i 

883  5327 
883  8073 


164 


LOGABITHMIC     SINES,     TANGENTS,     &C. 


4'^ 


1750 


10 
20 

3o 
4o 

5o 

■523' 

10 

4o 
5o 
34' 
10 
ao 
3q 
4o 
5o 
25' 
to 
ao 
3o 
4o 

■iiiiillj 


10 

90 
3o 
4o 
5o 
■27 
10 
ao 
3o 
4q 
5o 
» 
10 
90 
3o 
4o 
5o 


10 
20 
3o 
4o 

5o 
30' 


iiiL 


ilif.I" 


277.7 
277.6 

277-4 
277.3 
277.0 

276.9 
276.7 
276.6 
276.3 
276.2 
276.0 
275.8 
275.6 
275.5 
275.3 
275.1 
275.0 

274.7 
274.6 

274.5 


m4  081 4  llj'' 

884  3555P^t' 
8846204,^^^:9 

273.5 


94 
8.884  903 1 

885  1766 

885  45oo 

885  7232 

885  9963 

886^691 
8.886  54 1 8 

8868143 

8870867 

887  3588 

8876308 

887  9027 
'.'6*|8.888  1743 

888  4458 

888  71 71 
8889883 
8892592 

889  53oo 
8.889  8007 

890071 1 
8903414 
^906116  ^ 
8fc>88.5^g"9 

8.891  4209 
891  6904 

891  9597 

892  2288  "'T' 

»9^%ll268  8 

892  7665i^^-^ 

2j'  8.893  o35i l^^s 
-    893  3o36,!^'^ 

893  57i8!X^ 
«9]84ooi^- 

894  1079,^6,  8 

894  3757  "g'i 
8.8946433'^^'-° 


273.4 
273.2 
273.1 
272.8 

272.7 

272.5 

272.4 

272.1 
272.0 

271.9 

271.6 
271.5 
271.3 

271.2 
270-9 
270-8 
270-7 
2704 
270.3 
270*2 


269.6 
269.5 
269.3 
269.1 


oo-fia 


Ml" 


flO-MC. 


tang. 


II 


II 


11 


II 


II 


II. 


II. 


It 


II. 


II 


II 


21  7146 

21  436q 
21  1593 
208819 
206046 
203276 
20  o5o7 
9  7740 
94974 

02211 

89449 
86689 
83931 

8  1175 

78420 
75667 
72916 
70166 
67419 
64673 
6  1928 
59186 
5  6445 
5  3706 


8.879  5286 
8798080 
8800872 
880  3662 
88o645o 

880  9237 

8.881  2022 

881  48o5 

881  7586 

882  o366 
88a  3i44 
88a  5920 

8.882  8694 

883  1467 
883  4a37 
883  7006 

883  9774 

884  2539 
8.884  53o3 

884  8o65 

885  o8a5 
885  3584 
885  6341 
8859096 


509698.88618 


4  8234 

4  55oo 

4  2768 

4oo37 

3  73c»9 

34582 

3  i857 

2  91 33 

26412 

2  3692 

2  0973 

I  8257 

I  5542 

I  a829 

I  0117 

07408 

04700 

o  1993 

099789 

096586 

09  3884 

09  ii85 

088487 

08  5791 

08  3096 

o8o4o3 

07  77 1  a 

07  5o23 

OT  2335 

069649 

066964 
064282 
06  1600 
058921 
o5  6a43 
©5  3567 


886  460I 
8867351 
8870100 

887  2846 

887  5591 
8.887  8334 

888  1075 
888  381 5 
888  6553 

888  9289 

889  2024 

8.8894757 

889  7488 
8900218 

890  2945 

890  5671 
8908396 

8.891  1119 

891  384o 
891  6559 

891  9a77 

892  1993 

892  4707 

8.892  7420 

893  01 3 1 
893  2840 
893  5548 

893  8254 

894  0958 

8.894  366o 
8946361 
8949061 

895  1758 
8954454 
8957149 

8.895  9842 

co-tang. 


dif.  I 


CO-tllDg. 


279-4 
279.2 

270.0 
278.8 
278.7 
278.5 

278.3 

278.1 

278.0 

277,8 

277.6 

277.4 

277.3 

277.0 

276.0 

276.8 

376.5 

276.4 

276.2 

276.0 

375.9 

275.7 

275.5 

275.4 

275,1 

275.0 

274.9 

274.6 

274.5 

274.3 

274.1 

274.0 

273.8 

273.6 

273.5 

273.3 

273.1 

273.0 

272.7 

273.6 

272.5 

272.3 

272.1 

271.9 

271.8 

271.6 

271.4 

271.3 
271. 1 
270.0 
270.8 
270,6 
270.4 
270.2 
270.1 
270.0 
269.7 
269.6 
269.5 
269.3 

diCl" 


II 


II 


II 


II 


II 


II 


II 


II. 


II. 


II 


II 


20471 
ao  1930 
99128 
96338 
93550 
00763 
87978 
8  5195 
82414 
79634 
7  6856 
74080 
7  i3o6 
68533 
6  5763 
62994 
60226 
57461 
54607 
519I5 
49175 
464i6 
4  3659 
4«9o4 
3  8i5o 
3  5399 
3  2649 
2  9900 
2  7154 
2  4409 
1666 
8925 
6i85 

3447 
I  0711 

07976 
o5343 

025l2 

099782 
09  7055 
094329 
OQ  i6o4 
088881 

086160 
08  3441 
080723 
078007 
07  5303 
07  258o 
069869 
067160 
064452 

061746 

o5  9042 
o5  634o 
o5  3639 
050939 
o4  8242 
04  5546 
o4  285 1 
o4oi58 

tang. 


see. 


10.001 3433 
2449 
2465 

2481 

2497 
25i3 
10.0012529 
2545 
256i 

2677 
2593 
26t)9 

10.0012625 
2641 
2657 
2673 
2689 
2705 

10.0012722 
2738 
2754 
2770 
3786 
2802 

10.0012819 
2835 
285 1 
2867 
2884 
2900 

10.0012916 
2932 
2949 
2965 
2981 

2997 
10.001 3oi4 
3o3o 
3o46 
3o63 
3079 
3096 

10.001 3l  13 

3128 
3i45 
3i6i 
3178 
3194 
10.001 32 10 
3227 

3243 

3260 

3276 

3293 
10.001 3369 

3326 
3342 
3359 
3375 

3392 

10.0013409 

co-sec. 


d.!' 


.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 
.6 

•7 
.6 
.6 
.6 
.6 
.6 

■7 
.6 
.6 
.6 

•7 
.6 
.6 
.6 

•7 
.6 
•6 
6 

•7 
6 
•6 

•7 
•6 

•7 
.6 
.6 

•7 
.6 

•7 
.6 
.6 

•7 
.6 

•7 
.6 

•7 
.6 

•7 
.6 

•7 
.6 

•7 
•7 


d.r 


co-nn. 


9.9987567 
755 
7535 
75io 
75o3 
7487 

9.9987471 
7455 
743o 
7423 
7407 
7391 

9.9987375 
7359 
7343 
7327 
73ii 
7295 

9.9987278 
7262 
7246 
723o 

7214 

7198 

9.9987181 

7165 

7149 
71 3.3 
71 16 
7100 

9.9967084 
7068 
7o5i 
7o35 
7019 
70o3 

9.9986986 
6970 

6954 
6937 
6921 
6904 

9.9986888 
687^ 
6855 
6839 
6829 
68^)6 

9.9986791 
6773 

6757 
6740 
6724 
6707 

9.9986691 
667-^ 
6658 
664  T 
6625 
6608 

9.99865^1 


40' 

5o 
4o 
3o 

20 

10 

130' 

5o 
4o 
3o 
20 
10 
38' 
5o 
4o 
3<j 
20 

37 

5o 
40 
3o 
20 
10 
36' 
5o 
4o 
3o 
20 
10 
35' 
5o 
40 
3o 
20 
10 
34 
5o 
40 
3o 
a<» 
10 
33 
5o 
4o 
3o 
20 
ro 
32 
5o 
40 
3o 
20 
10 
31' 
5o 

4() 
3( 
20 
10 
30 


fin. 


940 


850 


LOGARITHMIC     SINES,     TANGENTS,     &C 


185 


4« 


1750 


■in. 


20 

3o 
4o 
5o 
U 


3'J'8.8946433  .  , 

^«  894  9'07,^^5J 
8951780  V 

»95  7i2i^g^8 
,S  1^9789  ,66.6 

^i^  ^^55  366.5 
I  o  696  5 1 20  gg  ^ 
'"  «96  7783.^gg;^ 
^97  0444  ,66.0 

III  c '^^  265.8 
897  5762  g5  g 

898  1073  gr  3 

«98  3726j^5.3 

^J^:  '^^77  ,65.o 
^98  -/>^7  ,64.8 

«  r99  f/t  V64.7 

«99  432^64.5 
899696-7^^^3 

«99  96^0  ^64:2 


3o 
4(> 
5o 
{•it 

to 
20 
Jo 
4o 
5o 
Kt' 
m 
20 
3o 

4« 
5o 

;J4' 
10 
20 

3o 
4o 
5o 
35' 
10 
20 
3o 
4o| 
5o 

36' 8 
10 
20 
3c) 
40 
5o 
37' 
10 
20 
3o 
40 
So 
•J8' 
10 
20 
3o 
40 
5o 
3>)' 
10 
20 
3o 
4o 
5o 
40' 


a64.o 


900  i252 

9^  ^?f  263.9 
900  7531  ^63.^ 

8.901  0168  363i 
9°^  ?S.?3  ^63.4 


901  5437 


II 


II 


II 


9«^  ?9^9  263.0 

90^  2599  263.9 

„  902  3328  ^g^  9 

^^'  «?«  262.6 
90^  858i  ^g^^ 

9o3i2o5  g  3 

903  3828  '^11 

903  6448  262  o 
9039*^8  g- 
•9-416855^;:^ 
9044302  ^g,j 

904  6916  ,g,  3 

9^49529,61.1 

9°rff  261.0 

.  905  475o  ^6,,.8 
8-905  7358  ^60.7 

905  -^9^5  ^6^  ^ 
9^  2570  2604 

906  5174,60.2 

906  7776  ,60.0 
9070376^5 

8.907  2975  .cT  1  t 

907  5573 
9078168 

908  0762 
908  33541,,'^ 

908  5Q45rr9i 
8-9o8  8535|     9-0 

909'i23|  58g 

9^9  3709',58  5 
9096294  ^^°-5 

909  8877 

910  1459 
8.9104039  II 


dif.  I" 


263.2 


259.7 
259.6 
259.4 
259.2 


co-sec 


11 


II. 


II 


8. 


II 


II 


o5  3567  8. 
o5  0893 
o4  8220 
o4  5549 
o4  2879 
o4o2ii 
o3  7545  8. 
o3  4880 
o3  2217 
02  9556 
02  6896 
02  4238 
02  1 58? 
01  8927 
01  6274 
01  3623 
01  0973 
oo83o5 
00  5678 
00  3o33 
000390 
099  7748 
0996108 
099  2469 
.098  9832 
098  7197 
098  4563 


8 


8 


eo-sm. 


258.3 

358  2 

258.0 


did" 


II 


098  1031 
097  9301 
0976672 
.097  4o45 
097  1419 
096  8795 
0966172 
096  3552 
096  0932 
.095  83 1 5 
095  5698 
095  3o84 
0950471 
094  7860 
094  525o 
.094  2642  8 
094  oo35 
093  743o 
093  4826 
093  2224 
092  9624 
•093  7035  8 
092  4428 
092  i832 
091  9238 
091  6646 
091  4o55 
.091  1 465  8 
0908877 
0906291 
090  3706 

090  1 1 23 

0898541 
.089  5961 

sec. 


tang. 


8 


8 


8 


895  9842 

896  2533 

896  5222 

896  7910 

897  0696 
897  3280 
897  5963 

897  8644 

898  i324 
8984002 

898  6678 
89S  9353 

899  2026 
899  4698 

899  7367 
9oooo36 

900  2702 

900  5367 
.900  8o3o 

901  0692 
901  3352 
901  6011 

901  8668 

902  i323 
.902  3977 
902  6629 

902  9279 

903  1928 

903  4576 
9037221 
.903  9866 

904  25o8 

904  5 149 
9047788 

905  0426 
905  3o63 
.905  5697 

905  833o 
9060962 

906  3592 
9066220 

9068847 
.907  1472 

907  4096 
9076718 

907  9338 

908  1957 
9084575 
-9087190 
9089805 
9092417 

909  5o29 

909  7638 
9100246 
.910  2863 

910  5458 
9108061 

911  o663 
91 1  3264 
91 1  5863 
.91 1  8460 


difll" 


co-tans. 


268.9 

268.8 

268.6 

268.4 

268.3 

268.1 

268.0 

267.8 

267.6 

267.5 

267.3 

367.2 

266.9 

266.9 

266.6 

266.5 

266.3 

266.2 

266.0 

265.9 

265.7 

265.5 
265.4 

265.2 

265.0 
364.9 
264.8 
264.5 
264.5 

264.2 

264 

263.9 
263.8 
263.7 
263  4 
363.3 

263.2 

263 .0 

262.8 

262.7 

263.5 

262.4 

262.3 

262.0 

261. 

261. 

261.5 

261.5 

261.3 

361 

260.9 

260.8 

260.7 

260.5 

260.3 

260.2 

260.1 

259.9 

259.7 

dif.l" 


eo-tang. 


II. 


■ee. 


II 


II 


II 


11 


II 


II 


II 


II 


II 


II 


io4oi58 
io3  7467 
io3  4778 
io3  2090 
1 02  9404 
102  6720 
1024037 
102  i356 
lOI  8676 
101  5998 

101  3322 

101  0647 
,1007974 
100  53o2 
100  2633 

0999964 
0997298 
099  4633 
.099  1970 
098  9308 
098  6648 
098  3989 
098  1 332 
0978677 
.097  6023 
097  3371 
097  072 1 
096  8072 
096  5424 
096  2779 
.0960134 
09574 
09548 
095  2212 
0949574 
0946937 
.094  43o3 
094  1670 
093  9038 
093  64o8 
093  3780 
093  1 1 53 
092  8628 
092  5904 
092  3282 
092  0662 
091  8043 
091  5425 
.091  2810 
091  0195 
0907583 
0904971 

090  2362 

089  9754 
.089  7147 
089  4542 
089  1939 
088  9337 
088  6736 
o88  4i37 
.088  1 540 

taug. 


d.1" 


10.0013409 
3425 
3442 
3458 
3475 
3492 

io.ooi35o8 
3525 
3541 
3558 
3575 
359 

io.ooi36o8 
3625 
3642 
3658 
3675 
3692 

10.0013708 
3725 
3742 

3759 
3776 
3792 
1 0.00 1 3809 
3826 
3843 
386o 

3877 

3893 

10.0013910 

3927 

3944 
3961 
3978 
3995 

io.ooi4oi2 
4029 
4o46 
4o63 
4080 
4097 

io.ooi4ii4 
4i3i 
4i48 
4i65 
4182 

4199 

10.0014216 

4233 

425o 

4267 

4284 

43oi 

io.ooi43i8 

4335 

4353 

4370 

4387 

44o4 

10.0014421 

co-sec. 


co-«in. 


1.6 

1-7 
1.6 

»-7 
1.7 

1.6 

1-7 
1.6 

1-7 
1-7 
1.6 

1-7 

1.7 

1-7 
1.6 

1.7 

1-7 
1.6 

1.7 

1-7 
1.7 
1-7 
1.6 

1-7 
1-7 
1.7 
i-7 
1.7 
1.6 

1-7 
1-7 
1.7 

1-7 

1-7 

1-7 

1-7 

1-7 

»-7 

1.7 

1.7 

1-7 

1-7 

1-7 

1-7 
1.7 

1-7 

1-7 

1-7 
1.7 

1-7 
1-7 
1-7 
1-7 
1-7 
1-7 
1.8 

1-7 
1-7 
1-7 
1-7 


9.9986591  30' 
6575  5o 
6558  40 
6542  3o 
6525  20 
65o8  10 

9.998649229' 
64-5  5o 
6459  4o 
6442  3o 
6425  20 
6409  10 

9  9986399  2ft' 


6375  5o 

6358  40 

3o 


6342 
6325 
63o8 
9.9986292 
6375 
625f 
6241 

6224 
6208 
9.998619 

6174 
6157 
6140 
6123 
6107 
9.9986090 
6073 


20 
10 
27' 
5o 
4o 
3o 
20 
10 
26' 
5o 
4o 
3o 
30 
10 
25' 
5o 
40 
3o 

20 
10 


6o56 
6039 

6033 

6oo5 

9.9985988124 
5971 
5954 
5937 
5930 
5903 

9.9985886 
5869 
5853 
5835 
58i8 
58oi 

9.9985784 
5767 
5750 
5733 
5716 
5699 

9.9985682 
5665 

5647 
563o 
56i3 
5596 


d.1' 


5o 
4o 
3o 
20 
10 
23' 
5o 
4o 
3o 
20 
10 
22' 
5o 
4o 
3o 
20 
10 
21' 
5o 
4o 
3o 
30 


10 


9.9985579  20' 


sin. 


94« 


850 


24 


166 


LOGARITHMIC    SINES,    TANOBNTS,     &C. 


€• 


175« 


•m. 


dif.1" 


m 

10 

ao 
3o 
4o 
5o 
41' 

10 

3o 

4o 

42' 

10 

ao 
3o 
4o 
5o 
43^ 

lO 

ao 

3o 
4o 

5o 

10 
30 

3o 

4o 

5o 

143 

10 

ao 

4o 
5o 


8.910  4o39 
9106617 
9109194 
911  1770 
91 1  4344 
911  6916 

8.91 1  9487 
91  a  ao57 
91  a  46a4 
9137191 
9139756 
9i3a3i9 

6.9134881 
91 3  7441 
913 
91425 
914511a 

9147667 
8.9150319 
9153770 
9155320 
9157868 
916041 5 

916  a 
8.9165 

9168046 
9170586 
9173125 

917  5663 
9178199 

8.9180734 
9183267 

918  5799 
918  83a9 

m 


eo-aec. 


91908 
9193385 
46^18.9195911 

9198435 
920  0958 
920  3479 
9205999 


10 
30 

3o 

40 

147' 
10 

30 

3o 

4o 

5o 

148' 

iO 

30 

3o 

4o 
5o 


10 

30 

3o 

4o 

5o 

50' 


9208 
8.921  io34 
921  355o 
931  6064 

92 1  8576 

922  1087 

923  3597 
8.9336105 

922  861 1 

9331117 

923  3620 
9236123 

923  8624 

8.924  1123 

924  3621 
9246117 
9248613 

925  1106 
925  3598 

8.925  6089 


357.8 

357.7 

257.6 
357.4 
a57,a 
257.1 
257.0 
a  56-7 
256.7 
256,5 
256.3 
a56.a 
a56.o 
255.8 
255.8 
a55.5 
a55-5 
255.3 
255.1 
255.0 
254-8 
354-7 
254-5 
354-4 

254-2 

354.0 
353-9 
353.8 
353.6 
253.5 
a53.3 
a53.2 
253.0 
352.9 
353.7 
a52.6 
252.4 
252.3 
a5a.i 
aSa.o 
25i-8 
a5i.7 
251-6 
251.4 
251.2 

25l-I 
25 1. o 

250.8 
25o.6 
a5o.6 
250.3 
25o.3 
25o-i 
249-9 
249-8 
249-6 
249-6 
249-3 
249.2 


II 


II 


tUlf. 


II 


II 


8 


II 


8 


u 


II 


II 


c»-«in. 


II 


II 


2491 


di£  I'- 


ll 


,089  5q6i  8 
0893 
0890806 
0888230 
088  5656 
o88  3o84 
.o88o5i3  8 
0877943 
0875*76 
087  3809 

0870344 
0867681 
.08651198 
0862559 
0860001 
0857443 
085  4888 
o85  23331 
.0849781 
084  7230 
0844680 
0842132 
08  3  9585 
08  3  7040 
.o83  4496 
o83  1954 
0839414 
0836875 
0834337 
083  1801 
.081  93668 
081  6733 
081  4201 
081  1671 
080914a 
080  661 5 
.080408918 
080  i565 
0799042 
0796521 
079  4ooi 
079 1483 
.07889668 
078  645o 
078  3936 
078  1424 
077  891 3 
077  64o3 
.077  3895 
077  1389 
0768883 
076  638o 
0763877 
0761376 
.075  8877 
075  6379 
075  3883 
075  i387 
0748894 
074  64o2 
.074  391 1 


dif.1" 


8 


wc. 


.91 1  8460 
913  io56 

912  365o 
9126243 
9128834 

913  1424 
.913401a 
9136598 

913  9183 

914  1767 
9144349 
9146930 
.9149509 

915  2086 
9154662 
9157237 
9159810 
9162381 
.9164952 
9167520 
9170087 
917  2653 

917  5217 
017  7779 
.918  o34o 

918  2900 
918  5458 
9188014 
9190570 
9193123 
.919  5675 
9198226 
920  0775 
920  3323 
920  5869 
920  84 1 4 
.921  0957 

931  3499 
931  60J9 
931  8578 
933  1116 
933  3652 
.9336186 
933  8719 
933  ia5i 
933  3781 
923  63 10 

923  8837 
.924  i363 

924  3887 
9246410 

924  8932 

925  1452 
925  3970 
.925  6487 

925  9003 

926  i5i7 
9264o3o 
9266542 
926  9052 
,927  i56o 


eo-tauf. 


8 


8 


359.6 

259.4 

259.3 

259.1 

259.o( 

258.8 

258.6 

258.5 

258.4 

258.2 

258.1 

257.9 

257.7 

257.6 

257.5 

257.3 

257.1 

257.1 

256.8 

256-7 

256.6 

256.4 

256.3 

256.1 
256.0 
255.8 
255.6 
255.6 
255.3 

255.2 

255.1 
254.9 
254-8 
254.6 
254.5 
254.3 
254.2 
254.0 
253.9 
253.8 
253.6 
353.4 
253.3 

253.2 

253.0 
252.9 

253.7 

252.6 

252.4 
252.3 
252.2 
253.0 

351.8 
25i.7 
25 1. 6 
25i.4 
25i.3 
aSi.a 
25i  .0 
a5o.8 


II 


II 


ii 


x)88i54o 

0878944 
0876350 
0873757 
087  1166 
0868576 
.0865988 
086  340a 
0860817 
o85  8233 
©85  565 
o85  3070 
.0850491 
0847914 
084  5338 


MC. 


<i.l" 


1 0.001442 1 

4438 
4456 

4473 
4490 
4507 

io4)oi4525 
4^2 
4559 
4576 
4594 
4611 

ia.0014628 
4646 
4663 


11 


II 


0809430 
0806877 


084  2763  4680 

084  0190  4698 

0837619  47i5 
.o83  5o48  10.0014732 

o83  2480  4750 

0829913  4767 

082  7347  4784 

082  4783  4802 

0822221  4819 
.081  9660  iaooi4837 

081 7100  4854 

081 4542  4872 

081  1986  4889 


4907 
4994 


1 1 .080  4325  10.0014942 
080 1774  4959 
0799225  4977 
079  6677  4994 
0794r3i  5oi2 
0791586     5029 

II -078  9043  10.001 5o47 
0786501  5o64 
078  3961     5ofi2 


II 


co-tans. 


II 


dif.  1" 


II 


078  1422 
€^77  8884 
077  6348 

-0773814 
077  1 28 1 
076  8749 
0766219 
0763690 
076  II 63 
.075  8637 
0756113 
075  3590 
075  1068 
074  8548 
0746o3o 
.074  35 1 3 
0740997 
073  8483 
073  5970 
073  3458 
0730948 
072  8440 


5099 
5ii7 
5i35 
10.0015 1 52 
5170 

5187 

52o5 

5233 

5240 
10.001 5258 
5376 
5293 
53ii 
5329 

5347 
10.001 5364 
5382 
5400 
5418 
5435 
5453 
1 0.00 1 547 1 


tang. 


co-sec. 


»-7 
1.8 

1-7 
1-7 
»-7 
1.8 

1-7 
1.7 
1.7 
1.8 

1.7 
1.7 
1.8 

1-7 
1.7 
1.8 

1.7 

1.7 
1.8 

1.7 
1.7 
1.8 

»-7l 
1.8 

1.7 
1.8 
1.71 
1.8 

1-7 
1.8 

1.7 
1.8 

1-7 
1.8 

1.7 
1.8 

»-7 
1.8 

1-7 
1.8 
1.8 

J -7 
1.8 

1.7 

iJb 
1.8 

1.7 
1.8 
1.8 

1.7 
1-8 

1-8 

1.8 
1.7 
1.8 
1.8 
1.8 
1.7 
1.8 
1.8 

d.l" 


9.9985579 
5562 


co-«in. 


5544 

5527 

55io 

5493 
9.9985475 

5458 

544 1 

5424 

5406 

5389 
9.9985372 

5354 

5337 

5320 

53o2 

5285 
919985268 

52  5o 

5233 

5216 

5198  20 

5i8i  10 
9.998S163  16' 

5i 46  5o 

5128  4o 

5iii  3o 

5093  30 
10 


20' 
5o 
40 
3o 
20 
10 
19' 
5o 
4o 
3o 
20 
10 
18' 
5o 
4o 
3o 
20 
10 
17 
5o 
4o 
3o 


5076 

919985058 

5o4i 


1.5' 

5o 
5o23]  40 
5oo6  3o 
4988  20 
4971  10 

9.9984953  14' 
4936  5o 
4918  40 
4901  3o 
4883  20 
4865  10 

9.9984848  v.v 
483o  5o 
48 1 3  4o 
4795  3o 
4777  20 
4760  10 

9.9984742  12' 
4724  5o 
4707  4o 
4689  3o 
4671  20 
4653  10 

9.9984636  11' 
46i8  5o 
46oo  4o 
4582  3o 
4565  20 
4547  10 

9.9984529  10' 


nn. 


94° 


85« 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


187 


40 


1750 


■IB. 


50' 

10 

ao 

3o 

4o 

5o 

61' 

10 

20 

3o 

40 

5o 

52' 

10 

20 

3o 

40 

5o 

53' 

10 

20 

3o 

40 

5o 

54' 

10 

20 

3o 

40 

5o 

•35 

10 

20 

3o 

40 

5o 

56' 

10 

20 

3o 

40 

5o 

\7I 


di£l" 


10 

3o 

4(> 
5o 

58' 
10 
20 
3o 
4o 
5o 

15 »' 
10 
20 
3o 
4o 
5o 

6J' 


8.925  6089 

925  8578 

926  1066 
926  3553 

926  6o38 
9268521 

8.927  ioo3 

927  3484 
927  5963 

927  844 1 
9280918 

928  3393 

8.928  5866 

928  8338 

929  0809 
9293279 

929  5746 
9298213 

8.930  0678 
93©  3 1 42 
93©  56o4 

930  8o65 
93i  o524 

931  2983 

8.931  5439 

931  7895 
93a  o348 

932  2801 
93a  5252 

932  7702 
8.9330150 

933  2597 
933  5042 
933  7487 

933  9929 

934  2371 
8.9344811 

934  7249 

9349687 

935  2122 

935  4557 
9356990 

8.935  9422 

936  1 852 
936  4281 

936  6709 
9369135 

937  i56o 
8.937  3983 

937  6406 

937  8826 

938  1246 

938  3664 
93s  6081 

8- 938  8496 
9390010 

939  3j23 

939  5734 
9398144 

940  o553 
8.940  2960 


oo-aec 


co-ain. 


248.9 
248.8 

248.7 
248.5 
248.3 
248.2 
248 

247-9 

247-8 

247-7 
247-5 
247.3 

247 

247-1 

247 -o 

245.7 

246.7 

246.5 
246.4 

246.2 
246.1 
245.9 
245.^ 
245.6 
245.6 
245.3 
245.3 
245.1 

24D.O 
244.8 
244.7 
244.5 
244.5 
244.2 

244.2 
244.0 
243.8 

a43.8 

243.5 

243.5 

243.3 

243.2 

243.0 

242. 

242. 

242.6 

242.5 

242.3 

242.3 

242.0 

242.0 

241.8 

241.7 

241.5 

241.4 

241.3 

241 
241.0 
240.9 
240.7 


II 


8 


11 


[I 


tang. 


II 


II 


dicr 


II 


II 


II 


II 


II 


II 


.074  391 1 
074  1422 
073  8934 
073  6447 
073  3962 

073  1479 
.072  8997 
0726516 
072  4o37 
072  1559 
071  9082 
071  6607 
.07c  4 1 34 
071  1662 
070  9191 
070  672 1 
070  4254 
070  1787 
.0699322 
069  6858 
069  4396 
069  1935 
068  9476 
068  7017 
.0664561 
068  2io5 
067  9652 

067  7199 

067  4748 
067  2298 
x>66  985o 
0667403 
0664958 
066  25i3 
0660071 
o65  7629 
.o65  5189 
o65  2751 
o65  o3i3 
064  7878 
0645443 
064  3oio 
.064  0578 
o63  8148 
o63  5719 
o63  3291 
o63  o865 
062  8440 
.0626017 
062  3594 
062  1 1 74 
061  8754 
061  6336 
061  3919 
.061  i5o4 
0609090 
0606677 
0604266 
060  i856 
059  9447 
.059  7040 


8 


8. 


did" 


8 


8 


8 


8 


8 


8 


■ec 


8 


.927  i56o 
927  4067 

927  6573 
9279077 

928  i58o 
928  4o8i 
.9286581 

928  9080 
9291577 

929  4073 

929  6567 
9299060 

930  1 552 
930  4042 

930  65  3o 
9309018 

931  i5o4 
931  3988 
.931  6471 

931  8953 
93a  1433 

932  3912 
932  6390 

932  8866 
.933  i34o 
9333814 

933  6286 

933  8756 

934  1226 
934  3693 
.934  6160 

934  8625 

935  1088 
935  355i 
9356012 

935  8471 
.936  0929 

936  3386 

936  5842 
9368296 

937  0748 
937  3200 
.937  565o 

937  8098 

938  0545 
938  2991 
938  5436 

938  7879 
,9390321 

939  2761 
939  5200 

939  7638 
9400075 

940  25 10 
.940  4944 
940  7376 

940  9807 

941  2237 
941  4665 
941  7092 
.941  9518 


co-Cang. 


8 


co-tang. 


250.7 

25o.6 

25o.4 

25o.3 

25o 

25o.o 

249-9 
249-7 
249.6 

249.4 
249.3 
249.2 
249.0 
248.8 
248.8 
248.6 
248.4 
248.3 
248.2 
248.0 
247.9 
247.8 
247.6 
247-4 
247-4 
2473 
247.0 
247-0 
246.7 
246.7 
246.5 
2.46.3 
246.3 
246.1 
245.9 
245.8 

245.7 
245.6 

245.4 
245.2 
245.2 
245.0 
244-8 

244-7 
244-6 
244.5 
244-3 

244-2 

244-0 
2.43.9 
243.8 
243.7 
243.5 
243.4 
243.2 
243.1 
243.0 
243.8 
342.7 
242.6 


■ec 


d.1" 


ditl" 


1 1 -0728440 
072  5933 
072  3427 
0720933 
071  84ao 
071  5919 

iijO'ji  3419 
071  0920 
070  8423 
070  5927 
070  3433 
0700940 

11.0698448 
0695958 
0693470 
0690982 
0686496 
0686012 

11.0683529 
068  1047 
0678567 
067  6088 
067  36io 
067  1 1 34 

1 1 .066  8660 
0666186 
0663714 
066  1244 
o65  8774 
o65  63o7 

1 1  .o65  384o 
o65  1375 
0648912 

0646449 
0643988 
064  1529 

1 1. 0639071 
o63  66i4 
o63  4i58 
o63  1704 
062  9252 
0626800 

11.062  435o 
062  1902 
061  9455 
061  7009 
061  4564 
061  2121 

11.0609679 
0607239 
0604800 
060  2362 
0599925 
059  74 


11.059  5of 


059  2624 
0590193 
o58  7763 
o58  5335 
o58  2908 
1 1  .o58  0482 


10.001 5471 
5489 

5507 
5524 
5542 
556o 
ioxx)i5578 
5596 

56i4 
5632 
565o 
5667 
ioxx>i5685 
5703 
5721 
5739 
5757 
5775 

58ii 
5829 

5847 
5865 
5883 
10.0015901 
5919 
5937 
5955 

5974 
5992 

10.0016010 
6028 
6o46 
6o64 
6082 
6100 

10.0016119 
6i37 
61 55 
6173 
6191 
6210 

10.0016228 
6246 
6264 
6283 
63oi 
63i9 

10.0016337 
6356 

6374 
6392 

641 1 
6429 

10.0016447 
6466 
6484 
65o3 
6521 
6539 

io.ooi6558 


tang. 


eo-«n. 


1.6 
1.8 

1-7 
1.8 
1.8 
1.8 
1.8 
1.8 
1.8 
1.8 

1-7 
1.8 

1.8 
1.8 
1.6 
1.6 
1.8 
1.8 
1.8 
1.6 
1.8 
1.8 
1.8 
1.8 
1.8 
1.8 
1.8 

\i 

1.8 
1.8 
1.8 
1.8 
1,8 
1.8 
£.0 
1.8 
1.8 
1.8 
1.8 
1.9 
1.8 
1.8 
1.8 
1.9 
1.8 
1.8 
1.8 

\l 

1.8 

I 

I 

1.8 

1.9 

1.8 

1.9 

1.8 

1.8 

1.9 


eo-aec 


9.9984529 

45ii 

4493 
4476 
4458 
4440 
9.9984422 

44o4 
4386 
4368 
435o 
4333 

9-9984315 
4297 
4279 
4261 
4243 
4225 

9.9984207 
4189 
4171 
4i53 
4i35 
4117 

9.9984099 
4<>8i 
4o63 
4045 
4026 
4008 

9.9983990 
3972 

3954 
3936 
3918 
3900 

9.9983881 
3863 
3845 
3827 
3809 
3790 

9.9983772 

3754 
3736 
3717 
3699 
368 
9.9983663 

3644 
3626 
36o8 
3589 
3571 
9.9983553 
3534 


d.1" 


35i6 
3497 

3479 
3461 

9.9983442 


10' 

5o 

40 

3o 

20 

10 

9' 

5o 

40 

3o 

20 

10 

8' 

5o 

40 

3o 

20 

10 

7' 

5o 

40 

3o 

20 

10 

6' 

5o 

4o 

3o 

20 

10 

5' 

5o 

4o 

3o 

20 

10 

4' 

5o 

4o 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

10 

2' 

5o 

40 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 

0' 


Bin. 


»4« 


850 


LOGARITHMIC     SINES,   TANGENTS,    &C. 


SO 


174' 


lO 

so 

4o 
5o 
1' 
to 

90 

3o 

5o 
2' 

I€ 
30 

3o 
4o 
5o 
3' 

JO 

m 
3o 

4o 
5o 

4' 
to 

ao 
^3o 

4o 
5o 

iV 

10 
30 

4o 
5o 
6' 
to 

20 

3o 

4o 
5o 
7' 

lO 
30 

3o 
4o 
So 
W 

10 

30 

3o 
4o 

5c 
9> 
to 

30 

3o 
4o 


8.9403 
940  s 

940  7771 


ilif.l" 


co-toc. 


240.6 
a4o.5 
340.3 


9^*  ''I'^iWAo. 

941  sS'TOf 

941  4976 

8.941  7S76 

941  9774 
943  3170 
943  4565 

942  6959 

943  9i53 

6.943  1743 
9434133 

943  6533 

9438909 

944  139^ 
944  36Bo 

8.944  6o63 

944  8445 

945  0836 
945  S-JoS 
945  5383 

945  796<'> 
8.9460335 

9463709 
9465082 

946  7454 
9469834 

947  3193 
8.947  456i 

947  6937 

947  9592 

948  1 656 
9484018 

948  6379 
8948  8739 

949  ir}o8 
949  3435 
949  58i  t 
949  8i65 


ttiif. 


340.0 
3400 
339.8 
3396 
339.5 
339.4 
339.3 
339.1 
339.0 
338-9 
338.7 
238.6 

238-3 

338-2 

238.1 

337.9 
237.8 
337.7 
337.5 
337.4 
337.3 
337.3 
237.0 
336-9 
336-8 
336.6 
336.5 
336.4 

236.3 

236.1 
236o 
335-9 

335-7 
335-6 
335-4 
235.4 


335-1 
a  34 -9 
a  34-9 

334-7 
334-5 

334-5 

334-2 

3340 
3340 
333.8 
2336 
333.6 
333.4 
333.3 

333.3 
3  33.0 

333.0 


8-950  287 

950  5323 

9507571 
950  9920 

9^1  2267 

951  46f3 
8.951  6957 

95  f  9300 
953  1643 

952  3982 

953  6333 

953  8660 

8.953  Oqtj^ 

953  3333 
953  5666 

953  7099 

954  o33i 
954  2661 

ll)'|8.954499i 


eo-iio< 


1 1 .059  7040  8 
o59  4634 
059  2339 
o58  9836 
o58  7424 
o58  5o24 
1 1  .o58  3634  8 
o58  0336 
o57  7830 
o57  5435 
o57  3o4i 
o57  0648 
II.056  8357 
o5()  586i 
0563478 
o56  1 091 
o55  8705 
o55  6320 
1 1  .o55  3937  8 
o55  1 555 
o54  9174 
o54  6795 
0544417 
o54  2040 
1 1  .o53  9665  8 
o53  7391 
0534918 
o53  2546 
o53  0176 
o53  7807 
1 1  .o53  5439  8 
o52  3073 
o52  0708 
o5i  8344 
o5i  5983 
o5i  3631 
ii.o5i  1261  8 
o5o  8902 
o5o  6545 
o5o4i89 
o3o  [835 
0499481 
11-0497120 

049  4770 
049  3439 
0490080 
o48  7-33 
048  5388 

1 1 .048  3o43  8 
048  0700 
047  8358 
o47  6018 
047  3678 
o47  1 340 

1 1 .046  9004  8 
o46  6668 
o46  4334 
0463001 
0459669 
045  7339 

11.04550098 


.941  9518 

942  1943 


dil>  1 


3^4  3.^ 
343.3 


«o-t«n?. 


■ec. 


did" 


943  4365 
943  6787 
943  9307 
943  1636 
.943  4o44 
9436461 

943  8876 

944  1 389 

944  3703 
9446113 
.944  8533 
9450931 

945  3338 
945  5744 

945  8 1 49 

946  o553 
.946  3954 
946  5355 

946  7754 

947  01 53 
947  2549 

947  4q44 
.947  7338 
9479731 

948  2133 

948  45 1 3 

9486903 
948  9389 
.949  1676 
9494061 

9496444 
9498837 
950  13o8 

950  3588 
.950  5967 

950  8344 

951  0730 
951  3095 

951  5468 
9j»784o.^ 

•9^"?iN^37-o 

952  a58i' 


343.3 

343.0 

341.9 

341.8 

341.7 

341.5 

341.3 

341.3 

341-1 

34 1 -o 

340-8 

340.7 

340-6 

34o-5 

340.3 

340-3 

340.1 

339-9 

339-8 

339-7 

339.5 

739.4 

239-3 

239-1 

239-1 

338-9 

338-7 

338-7 

338.5 

338.3 

338.3 

338.1 

238 .0 

237.9 

237.7 
337.6 

337.3 
337-1 


■ec. 


953  4949 
9537317 
953  9683 

953  3047 
.9534410 
9536773 
9539133 

954  1 493 

954  385 1 
95-^6508 
.954  8564 
9550918 

955  3372 
955  5634 

955  7974 

956  0334 
.956  3673 

co-tang. 


a  36-8 
a  368 
a36-5 
236-5 
336-3 
a36-3 
a36.o 
a36.o 
235-8 
335.7 
335.6 
235.4 
235.4 
a35.2 
335.0 
235.0 
334.8 

dif.r 


iix>58o483 
o57  8o58 
o57  5635 
05732 1 3 
o57  0793 
056  8374 

1 1  .o56  5056 
o56  3539 
o56  1 1 34 
0558711 
o55  6398 
o55  3887 

ii.o55  1 477 
0549069 
0546663 
o54  4256 
o54  i85i 
o53  9448 

11.0537046 
o53  4645 
o53  3246 
o53  9848 
o52  745 1 
o52  5o56 

1 1  .o52  2662 
o52  0269 
o5i  7878 
o5i  5487 
o5i  3098 
o5i  07 1 1 

ii.o5o8324 
o5o  5939 
o5o  3556 
o5o  1173 
049  8793 
0496413 

1 1  0494033 
049  1 656 
048  9380 
048  6905 
048  4533 
048  2160 

11.0479789 
0477419 
o47  5o5i 
o47  2683 
04703 1 8 
046  7953 

I  r  .046  5590 

046  3297 

046  0867 
045  B5o^ 
0456149 
045  379'> 

11.045  i436 
0449083 
044  6728 
044  4376 
o44  3oa6 
043  9676 

1 1 .043  7338 

tang. 


10.001 6558 
6576 


d.l' 


6595 
661 3 
6633 
66  5o 

10.0016668 
6687 
6705 
6734 
6743 
6761 

10.0016780 
6798 

6817 
6835 

6854 
6873 
10.0016891 
6910 
6938 

6947 
6965 
6984 

10.0017003 
70a  1 
7040 
7059 
7078 
7096 

10.00171 15 
7i34 
7i53 
7171 
7190 
7209 

10.0017338 
7346 
7365 
7284 
73o3 
7333 

10.0017340 
7359 
7378 
7397 
7416 
7435 

10.0017454 
7473 
7492 
75ii 
753o 
7548 

10.0017567 
7586 
7605 
7624 
7643 
7662 

10.0017682 


co-em. 


1.8 

::? 

1.8 
1.9 
1.8 

::? 

1.9 

I 
I 
1 

\l 

1.9 

;i 

1.8 
1.9 
1-9 

1.8 
1.9 
1.9 

li 

»-9 

1- 

1.9 
1.9 
1.9 

\1 

1.9 
1.9 
1.9 

1.8 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
1.8 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
2.0 


CO-BAC 


9.9983443 

34a4 
34o5 
3387 
336b 
335o 

9.998333a 
33i3 
3295 
3276 
3a  58 
3239 

9.9983330 
32oa 
3i83 
3i65 
3i46 
3 128 

9.9983109 
3090 
3072 
3o53 
3o35 
3oi6 

9.9982997 
39''9 
2960 

3941 
2923 

3904 
9.9982885 
2866 
2848 
2829 
2810 
279 
9.9983772 

3754 
3735 
2716 
3697 
3678 
9.9982660 

3641 
262  a 
36o3 
3584 
3565 
9.9983546 
35a7 
25()8 

3489 

34"'0 

345^. 

9.9983433 
34i4 
3395 
3376 
335 
3338 

9.9983318 


d.l'' 


5o 
40 
3t 
ao 
10 

5( 

4" 
3() 
at) 
10 
58 
5o 
4o 
3o 

30 
10 

57 

5o 
40 
3( 
20 
10 
56' 
5o 

40 
3o 
30 
10 

5o 
4o 
3o 
30 
10 
54 


■in. 


5  3 

4o 
3c 

'^O 

10 
53' 
5o 
4o 
3o 

■JO 

10 
5-2' 
5o 
4o 
3o 
20 

lO 

51' 

5o 
40 
3o 

30 
10 

5()' 


»*• 


840 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


189 


50 


1740 


sm. 


10' 

10 

30 

3o 

40 

5o 
U 
10 
30 
3o 
4o 
5o 
1-^ 
10 
30 
3o 
4o 
5u 
13' 
10 
30 
3o 
4() 
5o 
14' 
10 
20 
3o 
4o 
5o 
15' 
10 

31) 

3o 

4o 

5o 

16 

10 

30 

3o 
4o 
5o 
17' 

10 
20 
3o 
4r 
5o 
18' 
10 
20 
3o 
4o 
5() 
19' 
10 
20 
3o 
40 
5o 
2)' 


8-954 
954 
954 
955 
955 
955 

8.955 
956 
956 
956 
956 
957 

8.957 
957 
957 
957 
958 
958 

8.958 
958 
959 
959 
959 
959 

8.960 
960 
960 
960 
960 
961 

8.961 
961 
961 
962 
963 
963 

8.96a 
963 
963 
963 
963 
963 

8.964 
964 
964 
964 
965 
965 

8.965 
965 
965 
966 
966 
966 

8.966 
967 
967 
967 
967 
968 

8.968 


difl" 


^|9i  232.8 

c/£|233.6 

9^4^333.6 

332.3 


4295 

6618 

8940 
1260 

3579 
5897 

8214 

0529 

3843 

5i56 
7468 

9779 

3088 

4396 
6703 
9008 

l3l2 

36i5 
5917 
8218 
o5i7 
28i5 

5lI2 

7408 
9702 
1996 
4288 

6579 

8668 
1 1 57 

3444 
5730 

8oi4 
0398 
258o 
486i 

7i4i 
9420 

1697 
3974 
6a49 
85a3 
0795 
3067 
5337 
76(16 

9874 

2l4l 

4406 

6671 

8934 

II96 
3456 
5716 
7974 

033l 

3487 


co-sec. 


333.3 
232.0 
231.9 
231.8 

23i.7 
33i.5 

231.4 
23 1.3 

23l,3 
33l.I 

230.9 
33()-8 

3  30.7 

a3o-5 

a3o.4 

a3o.3 

a3o.2 

33o.i 

229.9 

239  8 

229-7 

339-6 

229.4 

229.4 

229.2 

229.1 

228.9 

338.9 

328.7 

238-6 

228-4 

228.4 

228-2 

328-1 

328-0 

227-9 

227.7 

227.7 

227.5 

227.4 

227.3 

237.3 

337-0 

336-9 

326.8 

336.7 

336.5 

336.5 

336.3 

236.3 

336.0 

3a6.o 

aa5.8 

3a5.7 

325.6 


eo^iin. 


1 1 .045 
045 
045 
044 
044 
o44 
1 1 .044 
043 
043 
043 
043 
o43 

1 1 .043 
o4a 
042 
042 
o4i 
o4i 

ii.o4i 
o4i 
o4o 
o4o 
o4o 
o4o 

11.039 
039 
039 
039 
o39 
o38 

1 1  .o38 
o38 
o38 
o37 

■  o37 
o37 

ii.o37 
o36 
o36 
o36 
o36 
o36 

1 1  .o35 
o35 
o35 
o35 
o34 
o34 

1 1  .o34 
o34 
o34 
o33 
o33 
o33 

1 1  .o33 
o3a 
o33 
o33 
o33 
o3i 

ii.o3i 


8 


5oo9|8 

3681 

o355 

8oa 

570 

3382 

1060 

8740 

6421 

4io3 

1786 

9471 

7157 

4844 

2532 


tang. 


8 


dif.  I' 


di£l' 


0231 
791a 

56o4 
3397 
0993 

8688 

6385 

4o83 

1783 

9483 

7t85 

4888 

2592 

0298 

8oo4 

5712 

34a  I 

1  i3a 

8843 

6556 

4270 

1986 

970a 

7420 

5 1 39 

2859 

o58o 

83o3 

6oa6 

3751 

1 477 
9205 
6933 
4663 
2394 
0126 

7859 
5594 
33a9 
1066 
8804 
6544 
4284 
2026 

??^ 


8 


8 


8 


8 


•ec. 


.956  2672 
9565019 
956  7365 

956  9709 

957  2o53 
957  4395 
.957  6735 

957  9075 

958  i4i3 
958  3750 

958  6086 
9588421 
.959  0754 

959  3o86 
9595417 

959  7747 
9600075 

960  2402 
.960  4728 
9607053 

960  9377 

961  1699 
961  4020 

961  634o 
.961  8659 

962  0976 
962  3392 
962  5607 

962  79a  r 
953  oa34 
.963  2545 

963  4855 
963  7164 

963  9472 

964  1778 
964  4o84 
.964  63.S8 

964  8691 

965  0993 
965  3^93 
965  5592 

965  7891 
.966018? 

966  2483 
966  477B 
966  7071 

966  9363 

967  i654 
967  3Q4'f 
967  6a33 

967  85ao 

968  0807 
968  309  a 
968  5376 
.968  7658 

968  9940 

969  2220 
969  4499 
969  6777 
9699054 
.970  i33o 


CO- tang. 


8 


8 


8 


234-7 
234.6 
234-4 
334.4 

234-2 

2340 
a34.o 
a33.8 
333.7 
333.6 
333.5 
a33.3 
a33.a 
a33-i 
333-0 

333.8 

a33.7 

332.6 
232-5 

232.4 

332.2 
333.1 
332.0 

231.9 
33i.7 
33 1. 6 
331.5 
33i.4 
23 1. 3 

23l.I 
23  I. o 

230.9 
a3o.8 
2  3o.6 
23o.6 

23o.4 
23o.3 

23o.2 

280.0 
229.9 
229.9 
229." 
339.5 
229.5 
229.3 
339.2 
229.1 
229.0 
338.9 
338-7 
338.7 

328.5 

338.4 
338.3 
338.2 
228.0 
227  9 
227.8 
237.7 
227.6 


II. 


II 


II 


see. 


d.I" 


co-sin. 


II 


II 


II 


II 


II 


II 


II 


co-tang. 


dif.  I'- 


ll 


.043  7828 
0434981 
o43  2635 
o43  0291 
042  7947 

042  56o5 
.042  3265 

043  0925 
o4i  8587 
o4i  6250 
o4i  3914 
o4i  1 579 
.o4o  9246 
0406914 
o4o  4383 
o4o  2253 
0399925 
039  7598 
.039  5272 
039  2947 
0890623 
o38  83oi 
o38  5980 
o38  366o 
.o38  1 34 1 
087  9024 
087  6708 
087  4898 

087  2079 
0869766 
.o36  7455 
086  5i45 
086  2836 
o36  0528 
o85  8222 
o85  5916 
.o35  86i9 
08  5  1809 
o84  9007 
o34  6707 
o84  4408 
o34  2 1 09 
.088981 
o83  75i7 

o38  52  22 

088  2929 
o83  0687 
o32  8846 
.082  6o56 
082  8767 
082  1480 
o3i  9198 
081  6908 
o3i  46a4 
.081  2342 
o3i  0060 
o3o  7780 
o3o  55oi 

080  3223 

o3o  0946 
.039  8670 


10.0017682 

7701 
7720 
7789 
7758 

7777 
10.0017796 

7815 
7834 
7853 
7872 
789a 
10.001791 1 
7980 

7949 
7968 
7987 
8007 
io.ooi8oa6 
8045 
8064 
8084 
8103 
8122 

io.ooi8i4i 
8161 
8180 
8199 
8219 
8288 

10.0018357 

8377 
8396 
88i5 
8385 
8354 
10.0018874 
8898 
84i3 
8433 
845 1 

8471 

10.0018490 
85io 
8529 
8549 
8568 
8588 

10.0018607 
8627 
8646 
8666 
8685 
8705 

10.0018735 
8744 
8764 
8788 
8808 
8828 

10.0018843 


tang. 


1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 
1.9 

1-9 
3.0 

'•9 
1-9 

'-9 

1.9 

1.9 

3.0 

1.9 

1.9 

1.9 

2.0 

1.9 

1.9 

1.9 

2.0 

1.9 

1.9 

2.0 

1.9 

1.9 

2.0 

1.9 

1.9 

2.0 

1.9 

2.0 

1.9 

1.9 

2.0 

1.9 

2.0 

1.9 

2.0 

1.9 

2.0 

1.9 

2.0 

1.9 

2.0 

1.9 

2.0 

1.9 

2.0 

2.0 

1.9 

2.0 

1.9 

3.0 

2.0 

1.9 


50' 

5o 

40 

3o 

20 

10 

49' 

5o 

4o 

8<i 

20 

10 

48' 

5o 

40 

3o 

20 

10 

47' 

5o 

40 

3o 

20 

10 

46' 


co-sec. 


9.9982818 

2299 

2280 

2261 

2243 

2228 
9.9982204 

21 85 

3i66 

3l47 
3138 

2108 
9.9982089 

2070 

205f 

2o3a 

201 3 

1998 
9.9981974 

1955 

1986 

1916 

1897 

1878 
9.9981859 

1889 

1820 

1801 

1781 

1762 
9.9981743 

1728 

1704 

i685 

i665 

1646 
9.99816.^6 

1607 

1 588 

1 568 

1549 

1529 
9.998151043' 

1490 

1471 

145 1 

1432 

l4l2 

9.9981898 

1873 

i354 
1 334 
i3i5 
1295 
9.9981275 
1256 
1286 
1217 
1197 
1177 


5o 
40 
80 
20 
10 
45' 
5o 
4o 
3o 
20 
10 
44' 
5o 
4o 
80 
20 
10 


5o 
4o 
3o 
20 
10 
4'2' 
i> 
4o 
3o 
20 
10 
41 
5o 
4o 
3o 
20 
10 


9.9981158  40' 


d.1" 


>in. 


950 


840 


190 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


!l  ' 


50 


174< 


■lit. 


W 

Hi) 
3o 
40 
% 
21 
10 
ao 
3« 
4o 

Hyfv 

I  c::»l 

a. 
3o 
40 
5c 
23' 
10 
30 
3o 
4o 
5n 
i4 
ro 
ao 
3(j 
4o 
5o 
•¥i' 
10 
20 
3o 

'26 
10 
20 
3o 
4o 
5o 
27' 
10 

■3o 
4o 
5o 

28' 
10 
20 
3o 
4o 
5o 

29 
10 
20 
3o 
4o 


diC  I" 


8.968  2487 
968474a 
968  699(> 

968  9248 

969  i5oo 
969  3750 

8.969  5999 
969  8246 


225.5 

225.4 

225.2 
225.2 

225.0 
224.9 
224.7 

224.7 


o(K4ec* 


97««4q3,  ,J,^ 

970  4983 

9707226' 
8.970  9468 

971  1708 
971 


tang. 


224.3 

224.2 

224'0 


1 


972  0660 

3.972  2895 

9725128 

972  7361 

972  9592 

973  1823 

973  4o52 

8.973  6280 

973  85o7 

974  0732 
974  2957 
974  5 1 80 

974  74o3 

8.974  96^4 

975  t844 
975  4062 
9756280 
975  8497 
9760712 

8.976  2926 
9765139 
9767351 
9769562 
977  1772 
9773980 

8.9776188 

977  8394 
9780599 
9782803 
9785006 

978  7208 
S.978  9408 

9701608 
97^3806 

979  6oci4 

979  8200 

980  0395 

5.980  2589 

980  478 1 
9806973 
9809164 

981  i353 
981  3541 

8.981  5729 


223. 3 
223.3 
223.1 

2a3.i 

222.1 
222 

222.7 
222.5 
222.5 
222.3 
222.3 

22a.i 

222.0 

221.8 
221.8 

321.7 
221.5 

231.4 
221.3 
221.2 
22J.I 
221.0 

aao.8 
220.8 
220.6 

320.5 

220.4 

220.3 

220.2 
220.0 
220.0 
219.8 
219.8 
219.6 
219.5 


ii.o3i  75i3 
o3i  5258 
o3i  3oo4 
o3i  0752 
o3o  85oo 
o3o  6250 

ii.o3o4ooi 
o3o  1754 
029  9507 
029  726^ 
0295017 
029  2774 

11.0200532 
028  8392 
028  60^3 
028  38 1 4 
028  1576 
027  9340 

11.0277105 
027  4872 
027  2639 
037  o4o8 
0268177 
026  5948 


ditl" 


8.970  i33o 
97o36o4 

970  5878 

970  8 1 5o 

971  0421 
971  2691 

8.971  4959 
971  7'J37 

971  9493 

972  1758 
972  4022 

972  6285 

8.972  8547 

973  0807 
973  3067 
973  5325 
973  7582 

973  9838 
8.974  2092 

974  4346 
974  6599 

974  88  5o 

975  1 100 
975  3349 


CO- tang. 


1 1.026  3720  8.975  5597 


eo-8tD. 


026  1493 
oa5  9268 
oa5  7043 
025  4820 
025  95^'y 

1 1. 0350376 
024  8 1 56 
024  5938 
024  3720 
024  i5o3 
u33  9288 

11. 02 3  7074 
02  3  4861 
023  2649 
02  3  o438 
022  8228 
022  6020 

11.022  38 1 3 
0221606I 
oai  9401 
021  7197 
021  4994 
021  2793 

1 1. 02 1  0593 
020  8393 
0206194 
020  3996 

030  1800 

"9-4      <"995°5 

«.}vZ    II.OI974II 

019  5219 

019  3027 
0190836 

018  8647 

0186459 

1 1. 018  4371 


219.2 
219.2 
219.1 
218.9 
218.8 
218.8 


did' 


975  7844 
9760089 

976  3334 

976  4577 

9-'6  68!9 
8.976  <)c6o 

977  i3oo 
977  3539 

977  5777 
9778013 

978  0348 

8.978  2483 

978  4716 
9786948 

9789179 

979  i4o8 

979  3637 

8.979  5865 
9798091 
9800316 
9802540 

980  4763 
9806985 

8.980  9206 

981  i4a6 
981  3644 

981  586a 
9818078 
98a  0293 

8.982  2507 

982  4730 
9826933 

982  9143 

983  i353 
983  356i 

8.983  5769 


MC 


227.4 

227.4 
227.2 
227.1 
227.0 
226.8 

236.8 

226.6 
226.5 
226.4 
226.3 
226.2 
226.0 
226.0 

225.8 

225.7 

225-6 
235'4 
225-4 
225-3 
225l 
225-0 
234-9 

224.8 

224-7 
224-5 
324-5 

224.3 

224-3 
224- 1 
224-0 
223.9 
223.8 
223.6 
223.5 
223.5 

2a3.3 

233.3 
223.1 
222.9 

222. 

222.6 

222.5 

222.4 

222.3 

222.2 

222.1 

222.0 

221.8 

221.8 

221.6 

221.5 

22 1 .4 

221.3 

221.2 

221.1 

221.0 

aao.8 
aao.8 


■ee. 


d.!" 


CO- tang. 


11.0398670 
0296396 
0294132 
029  l85o 
028  9579 
028  7309 

ii.o28  5o4i 
028  2773 
028  o5o7 
027  824a 
027  5978 
0273715 

11.027  1453 
026  91 
026  69 
026  4675 
026  2418 
0260162 

11.0257908 

02  5  5654 
025  3401 
025  ii5o 
0248900 
024  665 

1 1 .024  44o3 
024  2 1 56 
023991 
0337666 
oa3  5433 
023  3i8i 

1 1 .023  0940 
022  8700 
0226461 

023  4323 
023  1987 

031  975 
11.021  75i7 
021  5384 
02 1  3o52 

021  0821 

020  850 
020  6363 
ii.o2o4i35 
020  1909 
0199684 
0197460 

0195237 
0193015 

11.0190794 
018  8574 
018  6356 
oi8  4i38 
018  1922 
017  9707 

11. 01 7  7493 

.  017  5280 

0173068 

017  o857 


10.0018843 
8863 
8883 
8901 
8931 

8941 
10.0018960 
8980 
9000 
9020 
9039 
9059 
10.0019079 
9099 

91 38 
91 58 
9178 

10.001919Q 
9218 
9238 
9257 
9277 
9297 

10.0019317 
9337 
9357 

9377 
9397 

9417 
10.0019437 

9457 

9477 

9497 
9517 

9537 

10.0019557 

9577 
9597 
9617 

9637 
9657 

10.0019677 
9697 
9717 
9737 
9757 
9778 

10.0019798 
9818 
©838 
9858 
9878 
9899 

10.0019919 

9939 
9959 

10.0019979 


e<Mtin. 


difcl" 


016  8647.10.0020000 
016  6439  10.0020020 
II  .0164331  IO.OO30O4o 


3.0 
3.0 
1.9 
3.0 
2.0 

1.9 

2.0 
2.0 
3.0 
1.9 
3.0 
3.0 
2.0 
2.0 

1.9 

2.0 

3.0 
3.0 
3.0 
3.0 
1.9 
3.0 
3.0 
3.0 
3.0 
3.0 
2.0 
3.0 
3.0 
2.0 
3.0 

a.o 

3.0 

3.0 

3.0 

3.0 

3.0 

a.o 

3.0 

3.0 

2.0 

3.0 

3.0 

3.0 

a.o 

a.o 

3.1 

3.0 

a.o 

3.0 

3.0 

2.0 

2.1 

3.0 

a.o 

3.0 

3.0 
3.1 
3.0 
3.0 


9.9981158 
ii38 
1118 
1099 
1079 
1059 

9.9981040 


40 
5<) 
40 
3o 
20 
10 
39' 


tang. 


cfvtee. 


1000 
0980 
0961 
0941 

9.998092 1 
0901 
0881 
0863 
0842 
0823 

9.9980803 
0783 
07*13 
0743 
0733 
0703 

9.9980683 

0643 
0623 
o6o3 
o583 

9.9980563 
0543 
o523 
o5o3 
o483 
o463 

9.9980443 
042  3 
o.4o3 
o383 
o363 
o343 

9.9980323 
o3o3 
0283 
0263 
0243 

0232 

9.9980202 

0183 

0163 

0142 

0122 

0101 

9.9980081 

oo6) 
oo4i 
9.998002 1 
9.9980000 
9.9979980 
9.9979960 


1020I  5o 
40 
3o 
20 
10 
38 
5o 
40 
3o 
20 
10 
:i7' 
5o 
40 
3o 
30 
10 
36 
5o 
40 
3o 

30 
10 

35' 

5o 
40 
3o 
20 


d.l" 


10 

34' 
5o 
4o 
3o 
20 
10 

33 
5o 
40 
3o 
20 
10 

32' 
5o 
4o 
3o 
20 
10 

31' 
5o 
4o 
3o 
20 
10 

30' 


■in. 


950 


84® 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


191 


50 


1740 


30' 

10 

20 

3o 

4o 

5c 

31' 

10 

20 

3o 

4o 

5o 

32 

10 

20 

3o 

4o 

5o 

33' 

10 

ao 

3o 

4o 

5o 

34' 

10 

20 

3o 

4o 

5() 

:J5 

10 

ao 

3o 

4o 

5o 

36 

10 

20 

3o 

4o 

5o 

37' 

10 

20 

3o 

4o 

5o 

38 

10 

20 

3o 

4o 

5o 

39 

10 

20 

3o 

4o 

5o 

40' 


sin. 


8.981  5729 
981  7915 


dif.r 


9820100 

982  2284 
9824466 
9826648 

8.982  8829 

983  1008 
9833187 
983  5364 

983  7540 
9839715 

8.984  1889 

984  4062 
984  6234 

984  84o4 

985  0574 
985  2742 

8.9854910 
985  7076 

985  9241 

986  i4o5 
986  3568 

986  573o 
8.986  7891 

9870031 

987  2210 
9874367 
987  6524 

987  8679 
8.988  o834 

9882987 
9885139 

988  7290 
9889440 

989  1 589 

8.989^737 
989  5884 

989  8o3o 
9900174 

990  23i8 
9904461 

8.9906602 
9908743 

991  0882 
991  3020 
991  5i58 

991  7294 
8.991  9429 

992  1 563 
992  3696 
992  5828 

992  7959 

993  0089 

8.993  2217 
993  4345 
993  6472 

993  8597 

994  0722 
99-4  2845 

8.994  4968 


co-sin. 


218.6 

218.5 

218.4 

218.2 

218.2 

218.I 

217.9 

217.9 

217.7 

217.6 

217.5 

217.4 

217.3 

217.2 

217.0 

217.0 

216.8 

2x6.8 

216.6 

316.5 

216.4 

316.3 

216.2 

216.1 

216.0 

215.9 

215.7 

2 1 5.7 
2i5.5 
3i5.5 
3i5.3 

2l5.2 
2l5.1 
2 1  5.0 
214.9 
214.0 

214.7 
2 1 4.6 

ai4.4 
214.4 
3i4.3 
214.1 

2l4.I 

213.9 

21 3.8 
2i3.8 
2i3  6 
2i3.5 
2i3.4 
2i3.3 

2l3.2 
2l3.1 
2l3.0 
212.8 
212.8 
212.7 
212.5 
212.5 
212.3 
212.3 


co-sec. 


dif.r 


11.018  4271 
018  2o85 
017  9900 
017  7716 
017  5534 
017  3352 

11.017  1171 
0168992 
oi668i3 
016  4636 
016  2460 
0160285 

ii.oi58iii 
01 5  5938 
01 5  3766 
01 5  1596 
0149436 
0147258 

11.0145090 
oi4  2924 
0140759 
013  8595 
01 3  6432 
01 3  4270 

ii.oi3  2109 
0129949 
012  7790 
012  5633 
012  3476 
012  l321 

II. 01 1  9166 
on  70i3 
on  486r 
on  2710 
01 1  o56o 
010  84/ 1 

n. 010  6263 
oio4n6 
010  1970 
0099826 
0097682 
009553 

1 1 .009  339 
009  125 
0089118 
008  6980 
008  4842 
008  2706 

11.0080571 
007  8437 
007  63o4 
0074172 
007  204 1 
0069911 

11.0067783 
006  5655 
006  3528 
006  i4o3 
oo5  9278 
oo5  7 1 55 
n.oo5  5o32 


tang. 


8 


8 


8 


8 


8 


8 


8 


8 


sec. 


,983  5769 

983  7975 
9840181 

984  2385 

984  4588 
9846790 
.9848991 

985  1191 
985  3389 
985  5587 
985  7783 

985  9979 
.986  2173 

986  4367 
986  6559 

986  8750 

987  0940 
987  3i39 
-987  53 17 

987  75o3 
9879689 

988  1874 
988  4o57 

988  6240 
.9888421 
9890601 

989  2780 
989  4959 
9897136 

989  93 1 2 
.990  1487 
99o366i 

990  5833 
9908005 

991  0176 
991  2345 
.991  45i4 
991  6681 

991  ^848 

992  ioi3 
9923178 

992  5341 
•992  75o3 
9929664 

993  1824 
993  3983 

993  6i4i 
9938298 
.994  0454 

994  2609 

994  4763 
9946915 
9949067 

995  12X8 
.995  3367 
995  55i6 
995  7663 

995  98x0 

996  1955 
996  4xoo 
996  6243 


dif.1" 


co-tang. 


220.6 

220.6 

220.4 

220.3 

220.2 

220.1 

220.0 

219.8 

219.8 

219.6 

219.6 

219.4 

219.4 

219.2 

219. 1 

219.0 

218.9 

218.8 

218.6 

318.6 

3x8.5 

218.3 

218-3 

218.X 

218.0 

217.9 

217.9 

217.7 

217.6 

217.5 

217.4 

217.2 

217.2 

217.1 

216.9 

216.9 

2x6.7 

216.7 

2x6.5 

216.5 

216.3 

2X6.2 

216.1 

216.0 

2X5. 

2X5. 

215.7 
2 1 5.6 
2x5.5 
2x5.4 

2X5.2 
2l5.2 
2l5.1 

2i4-9 
214.9 

214.7 

214-7 

2x4-5 

214.5 
2x4.3 


co-tang. 


II 


n 


II 


II 


II 


n 


dif.I" 


II 


II 


II 


n 


II 


.ox6423x 
016  2025 
oi5  9819 
oi5  761 
oi5  54i2 
oi5  3210 
,01 5  too9 
0148809 
014661X 
ox4  44i3 
oi4  2217 
ox4oo2i 
.oi3  7827 
ox 3  5633 
01 3  3441 
01 3  i25o 
0x2  9060 
0126871 
.012  4683 
ox  2  2497 
012  o3xi 
0x1  8x26 
01 1  5943 
on  3760 
.011  1579 
0109399 
0107220 
oio5o4i 
010  2864 
0100688 
.0098513 
0096339 
0094167 
009  1995 
0089834 
008  7655 
.008  5486 
008  33  i  9 
008  1 X  52 
0078987 
0076823 
007  4659 
-007  2497 
007  o336 
0068x76 
oo6  6f)X7 
006  3859 
006  1702 
.oo5  9546 
oo5  7391 
oo5  .5237 
oo5  3o85 
oo5  0933 
oo4  8782 
.004  6633 
oo4  4484 
oo4  2337 
0040190 
oo3  8o45 
oo3  5900 
.oo3  3757 


sec. 


10 


10 


10 


10 


10 


10 


tang. 


10 


10 


10 


10 


10 


.oo2oo4o 
0061 
0081 

OIOI 

0121 
0142 
.0020162 
0182 

0203 

0223 
0243 
0264 

.0020284 
o3o5 
o325 
o345 
o366 
o386 

.0020407 
0427 
o448 
0468 
0489 
o5o9 

oo2o53o 
o55o 
0571 
0591 
0612 
o632 

.0020653 
0674 
0694 
071 5 
0735 
0756 

.0020777 

0797 
0818 
0839 
0859 
0880 

.0020901 
0922 
0943 
0963 
0984 
ioo4 

.002x035 
1046 
1067 
1088 
1108 
1 1 29 

.002  n5o 
1171 
1 192 

I2l3 

1233 

1254 
.0021275 


d.l" 


co-sec. 


2.1 

2.0 

2.0 

2.0 

2.1 

2.0 

2.0 

2.1 

2.0 

2.0 

2.1 

2.0 

2.1 

2.0 

2.0 

2.1 

2.0 

2.1 

2.0 

2.1 

2.0 

2.1 

2.0 

2.1 

3.0 

2.1 

2.0 

2.1 

2.0 

2.1 

2.1 

2.0 

2.1 

2.0 

2.1 

2.1 

2.0 

2.1 

2.1 

2.0 

2.1 

2.1 

2.1 

2.0 

2.1 

2.1 

2.0 

2.1 

2.1 

2.1 

2.1 

2.0 

2.1 

2.1 

2.1 

2.1 

2.1 

2.0 

2.1 

2.1 


co-ain. 


9.9979960 

99^9 


30' 

5o 

9919140 

9899  3() 

30 

10 

29' 
5o 
4o 
3o 
20 
10 

28 
5o 
4o 
3c 
20 
10 

27' 
5o 
40 
3o 
20 
10 

26 


9879 

9858 

9-9979838 

9818 

9797 
9777 
9757 
9736 

9.9979716 
9695 
9675 
9655 
9634 
9614 

9.9979593 
9573 
9553 
9532 
95]  I 
9491 

99979470 
945o 
9439 
9409 
9388 
9368 

9.9979347 
9326 
9306 
9285 
9365 
9344 

9.9979223 
9203 
9182 
9x61 
9x4x 
9x20 

9.9979099 
9078 
9o58 
9037 
9016 
8996 

9.9978975 
8954 
8933 
8912 
8892 

8871 

9.9978850 

8839 

8808 

8787 

8767 

8746 

9.9978725 


d.1" 


5o 
4o 
3o 
20 
10 

25 
5o 
4o 
3o 
20 
10 

24 
5o 
4o 
3o 
20 
10 

23 
5o 
40 
3o 
20 
10 

22' 

To 
4o 
3o 
20 
10 

21' 
5o 
40 
3o 
20 
10 

20 


■lU. 


95° 


84» 


192 


LOG A BIT H MIC     SINES,    TANGENTS 


&C. 


50 


1740 


4i) 
10 
ao 

3o 
4o 
5o 


■in. 


dif.l" 


8.99^ 

995 

9^5 
99S 


H' 8.995  7681 


g  21 2.1 

2'  1  a  I 

9^  1  o 

1 329^"? 
— ''  2H.8 

2 1  r  .8 

21 1.6 


3447 
5565 


co-fee. 


tanf. 


10 

4o 

5£) 
4i' 

10 

30 

3o 
4o 
5(1 

43' 
10 
30 
3o 
4o 
5o 

44: 

10 

20 

3o 
4o 
5o 
15' 
10 
20 
3o 
4o 
5o 
46 
10 
20 
3o 
4o 
5o 
47 
10 
20 
3o 
4o 
5o 
46> 
10 
20 
3o 
40 
5o 
4^' 
10 
20 
3o 
4o 
5a 
50 


9>5 


995 
995 

996 

0.997 
9?7 

997 
997 

997 

^998 
8.908 

998 

998 

99° 

999 

999 
8.999 

999 

8.999 

9.000 
000 
000 

9.000 
001 
001 
001 
001 
001 

9.002 
002 
002 
00a 
00a 
oo3 

9003 
oo3 
00  3 
oo3 
oo4 
oo4 

9.004 
oo4 
oo4 
oo5 
oo5 
oo5 

9.005 
006 
006 
006 
006 
006 

9.007 


311  5 

9796.11:4 

1910   ^ 

Z,i  21  1.3 

61 35 

8246 

o356 

2465 

45-3 
653^2"  0.7 


21 1.2 
21  I.I 

2 !  1 .0 
210. 

210. 


1 1  .oo5  5o32 
oo5  aoi  I 
0050790 

0048671 
oo4  6553 
004  4435 

11.004  3319" 
004  o2o4 
0038090 
oo3  5977 
oo3  3ii65 
oo3  1754 

I  r  .002  9644 
002  7535 
002  5427 


dif.!" 


8.9966243 
9968385 
997o527j^ 
997  266713 
997  4^06 

997  M4  2 
8.9979081 

99S  1218 

998  3353 

998  5487 1 
99S  7620, 
99^  9752  { 
8.999  l^% 
9994oi3 
999614a 


210.6 
210.5 


8786 

°^9»u„o.3 

?99^!3io.3 
5097 

7199 

''99!^:?-^ 
3498.  ""9-9 

5595  '-"9-7 


002  3320  8.999  827or 


002  !2l4 

ooi  9109 


210.2 
2 1  O.I 


ii.ooi7<X)6  9.WK)4647 


7692 
9788 
1882 
3976 
6068 
8160 
03  5o 
2340 
4428 
65 16 
8602 

0687 
2772 
4855 
6938 
9019 
1099 
3i79 
5257 
7334 
9411 
i486 
356o 
5634 
7706 
9778 
1848 

3917 
5986 
8o53 


9.000  0397 

000  2522 


209.7 
209.6 
209.4 
209.4 
209.2 
209.2 
209-0 
209.0 
208.8 
208.8 
208.6 
208.5 
208.5 
208.3 
208.3 

ao8.i 
208.0 
208.0 
207.8 
207.7 
207.7 
207.5 
207.4 
207.4 
207.2 
207.2 
207.0 
206-9 
206.9 
206.7 
^1206.6 

2185^^-5 

^^^9  2063 
206.3 


63i2 
8375 
o436 




950 


e4».«ui. 


206.1 


di£l' 


001  4903 
001  ?8oi 
001  0700 
0008601 
ooo65o2 

1 1 .000  44o5 
000  a3o8 

11.000  oaia 

10.9998118 
9996024 
999  '932 

10.999  '^4o 
998  9750 
9987660 
998  5572 
998  3-184 
998  1398 

10.9979313 
997  7228 
997  5i45 
9973062 
9970981 
9968901 

10.9966821 
9964743 
9962666 
9960589 
995  85 1 4 
995  6440 

10.9954366 
995  2294 
9950222 
9948152 
9946083 
9944014 

10.994  1947 
993  9881 
993  7815 
993  575 1 
993  3688 
993  1625 


0006771 
0008894 
001  IO-6 
001  3i36 
001  5256 
9.001  7375 

001  9493 

002  1610 
002  3725 
002  584o 

002  7954 

9.003  0066 

003  2178 
oo3  4289 
oo3  6398 

003  85o7 
oo4o6i5 

9.004  2721 

004  4827 

004  6932 
0049035 

005  1 1 38 
oo5  3240 

9.005  5340 
oo5  7440 

005  9539 

006  1 637 
0063733 
0065829 

I9.006  7924 
0070017 

007  2110 
007  4202 
007  6293 

007  8383 
9.008  o47» 

008  2559 
008  4646 
0086732 
0088817 
0*^190901 


10.992  9564  9.009  2984 


■flC. 


4 

4 
4 
3 
3 
3 
3 
3 
3 
3 
3 
3 
3 
2 
2 
2 
a 
a 
a 
2 
2 
a 
a 
I 
I 
I 
I 

I, 
I, 
I. 
I. 
I. 
o. 
o. 
o. 
o, 
o. 
o. 
o. 
o, 
o. 
o 
o. 
209, 
209, 
209. 
209. 
209. 
209, 
209. 
209. 
209. 
209. 
208 
208 
208 
208 
208 
208 
208 


.2 
.2 
.0 

:? 

•7 
'7 
.5 

.4 

.3 

3 

I 

o 

i 

•7 
.5 

3 
.a 
.0 

.0 

•^ 
.8 

.7 
.5 
.5 

.4 
•3 


C0-taiijf. 


ii.oo3 
oo3 
002 
002 

OU2 

002 
11.002 

OOI 

001 

001 

001 
001 

11.000 

000 

000 

ri.ooo 

10.999 

999 
10.999 

999 

999 
998 
998 


co-tang.  di£  1"    tanf. 


99-" 
10.998 

998 
997 
997 
997 
997 

10.996 
996 
996 
996 
996 
995 

10.995 

995 

995 
994 

994 
10.994 

994 
994 
993 

993 
993 
10.993 
992 
992 
992 
992 

992 
10.991 

991 

991 

991 

991 

990 

10.990 


3757 
i6i5 
9473 
7333 
5194 
3(>56 

^•9 
8782 

664? 
45i3 
238o 
0248 
8117 
5987 
3858 
1730 
9603 

7478 
5353 
3229 
1106 
8984 
6864 
4744 

'j.67t 

o5o7 
8390 
6275 
4i6o 


aec. 


d.1' 


9934 

7822 

571 1 

36o2 

i4o3 

9385 

7279 

5173 

3o68 

0965 

8862 

6760 

4660 

2  56o 

046  r 

8363 

6267 

4i7» 
2076 

9983 
7890 
5798 
3707 
1617 
9529 
744i 
5354 
3268 
ii83 
9099 
7016 


10.0021375 
1296 
i3i7 

1 338 
1359 
i38o 

10X>03l4o| 

i4a3 
i443 
i464 

i485 
i5o6 

10.002 1 527 
i548 
1569 
1590 
161 1 
i632 

10.0021653 
1674 
1695 
1716 

1737 
1758 
10.0021780 
1801 
1822 
]843 
1864 
1 885 
0021907 
1928 
1949 
1970 
'  1991 
20 1 3 

.0029034 

2o55 
2077 
3096 
3119 
ai4o 
.0023162 
a  §83 

3304 

3336 

a  347 

3369 

0032290 

23ll 

2333 
2354 
3376 
3397 

.00334 18 
2440 
346 1 
3483 
25o4 
35a6 

oo2a547 


10 


10 


10. 


10. 


10 


10, 


co-itec. 


3.1 
2.1 
2,1 
3.1 
3.1 
3.1 

a. I 
a.  I 
a.i 

2.1 
2.1 
a. I 


CGMIin. 


9.9978735 

8704 
8683 


•20' 
5o 


4o 


3o 

20 

10 

I 

5<) 
4o 
3o 
20 


3.1 
3.1 
3.1 
2.1 
a. I 
2.1 
a. I 
a.i 
a. I 
2.1 
2.2 
3.1 
3.1 

3.1 
3.1 

a.i 
3.3 
a. I 

3.1 

3.1 
3.1 
3.2 
3.1 

a.i 

3.2 
2.1 
3.1 
3.1 
3.2 

a.i 
a.i 

3.3 
3.1 

a.a 

3.1 
3.1 
3.3 
3.1 

a.a 

3.1 

3.1 
3.3 
2.1 

3.3 

a.i 
a.a 
a.i 


86()2 
864 1 
8620 
9.9978599 
8578 
8557 
853*> 
85f5 
8494  10 

Z'l  9-9978473 1^ 

845^  5o 
843i  4" 
84 10  3a 
8189  20 
8368  10 

9.9978347  17 
8396  5c 
83o5  4o 
8284  3o 
8263  20 
8242  10 

9.9978220  16 

S*99  5c 
8it8  4o 

81 57  3o 

8i36  20 

8ii5  10 

9.9978093  1-5 
8072  5o 
8o5i  4o 
8«3o  3o 
8009  20 
7987  10 

9.99779^6  14 
7945  5o 
7923  4o 
7902  3o 
7881  3o 
7860  10 

9.997783813' 
7817  5o 
7796  4o 
7774  3o 
7753  20 
773 I  10 

9.9977710  12' 
7689  5o 
7667  4o 
7646  3o 
7624  20 
7603  10 

9-9977589  II 
7560  5o 
7539  4o 
7517  3o 
7496  20 
7474  10 

9.9977453  10' 


d.1" 


■in. 


84° 


: 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


193 


50 


1740 


sin. 


50' 
10 
20 
3o 
4o 
5o 

51' 
10 

30 

3o 
4o 
5a 
52 
10 
30 
3o 
40 
5o 
53' 
10 

30 

3o 
4o 
5o 
54 

lO 

20 
3o 
4o 
5o 
55' 
10 
30 
3o 
4o 
5o 
56 
10 

30 

3o 
4o 
5o 
57' 
10 
20 
3o 
40 
5o 
5b' 
10 
30 
3o 
4o 
5o 
59' 
10 
20 
3o 
4o 
5o 
60' 


9.007 
007 
007 
007 
007 
008 

9.008 
008 
008 
008 
009 
009 

9.009 
009 
009 


o 
o 
o 

9.0 
o 
o 
o 
o 
o 

9.0 
o 
o 
o 
o 
o 

9.0 

o 
o 
o 
o 
o 

9.0 

o 
o 
o 
o 
o 

9.0 

o 
o 
o 
o 
o 

9.0 

o 
o 
o 
o 
o 

9.0 

o 
o 
o 
o 
o 

9.0 


o436 

2497 

45^6 
661 5 
8672 
0729 
2784 
4839 
689^ 
8945 
0996 
3o47 
5096 
7145 
9193 
1239 
3285 
533o 
7374 
9416 
i458 

7578 

9616 

i653 
3689 

5724 
7758 

9791 
1823 

3855 

5885 

79^4 

9942 
1970 
3996 
6022 
8046 
0070 
2092 

4ii4 
6i35 
8i54 
0173 
2191 
4208 
6224 
8239 
0253 
2266 
4278 
6290 
83oo 
o3o9 
23i8 
4325 
6332 
8337 
0342 
2346 


dif.l" 


206.1 
205.9 
205.9 
2o5.7 
205.7 
2o5.5 
2o5.5 
2o5.3 
2o5.3 
2o5.i 
2o5.i 
204.9 
204.9 
204.8 
2o4-6 
2o4.6 
2o4.5 
204.4 
204.2 

204-2 

2o4.i 
204.0 
203.9 
2o3.8 

203.7 
2o3.6 
2o3.5 
203.4 
2o3.3 

2o3.2 
2o3.2 

2o3o 
202.9 
202.8 
202.8 
202.6 
202.6 
202.4 
202.4 

202.2 
202.2 
202.1 
201.9 
201. 


co-sec. 


co-Bin. 


201 
201.7 
201.6 
201.5 

201.4 
201.3 
201.2 
201.2 
201.0 
200.9 
200.9 
200.7 
200.7 
200.5 
200.5 
200.4 

dif.l" 


10.992 
992 
992 
992 
992 
991 

10.991 
991 
991 
991 
990 
990 

10.990 
990 
990 
989 
989 
989 

10.989 
989 
988 
988 
988 
988 

1.0.988 
987 
987 
987 
987 
987 

10.986 
986 
986 
986 
986 
985 

10.985 
985 
985 
984 
984 
984 

10.984 
984 
983 
983 
983 
983 

10.983 
982 
982 
982 
982 
982 

10.981 
981 
981 
981 
981 
980 

10.980 


9564 
75o3 
5444 
3385 
i328 
9271 
7216 
5i6i 
3io8 
io55 
9004 
6953 
4904 
2855 
0807 
8761 
6715 
4670 
2626 
o584 
8542 
65oi 
4461 
2422 
o384 

8347 
63ii 
4276 
2242 
0209 

8177 
6145 
4ii5 
2086 
oo58 
8o3o 
6004 
3978 
1954 
9930 
7908 
5886 
3865 
i846 
9827 
7809 
5792 
3776 
1761 
9747 
7734 
5722 
3710 
1700 
1 
2 

5675 
3668 
1 663 
9658 
7654 


■ec. 


tang. 


9.009  2984 
0095065 
0097146 
0099226 
010 i3o5 
010 3383 

9.010  5461 
0107537 
0109612 
on  1686 
on  3759 
on  583i 

9.01 1  7903 

01 1  9973 

012  2042 
0124110 
012  6178 

012  8244 

9.013  o3io 
oi3  2374 

01 3  4438 
oi3  65oo 

013  8562 
0140623 

9.014  2682 
oi4  4i4i 
0146799 

014  8856 
0150912 
oi5  2967 

9.015  5o2i 

01 5  7074 
0159126 

016  1177 
0163227 

016  5276 
9.0167325 

0169372 

017  i4i8 
0173464 
017  55o8 

017  7552 
9.0179594 

018  i636 
018  3677 
0185717 
018  7756 
018  9794 

9.019  i83i 
0193867 
0195902 
0197936 
0199969 
020  2002 

9.020  4o33 
0206064 

020  8093 

021  0122 
021  2i5o 
021  4176 

9.021  6202 


950 


co-tang. 


25 


dif.l' 


208.1 

208.1 

208.0 

207. 

207. 

207.8 

207.6 

207.5 

207.4 

207.3 

207.2 

207.2 

207.0 

206.9 

206.8 

206.8 

206.6 

206.6 

206.4 

206,4 

206.2 

206.2 

206 

205.9 

2o5. 

2o5. 

205.7 
2o5.6 
2o5.5 
2o5.4 
2o5.3 

2o5.2 
2o5.I 

2o5.o 
204.9 
204.9 
204.7 
204.6 
204.6 
204.4 
204.4 
204.2 
204.2 
204.1 
204.0 
203.9 
2o3.8 
203.7 
2o3.6 
2o3.5 
2o3.4 
2o3.3 
2o3.3 
2o3.i 
2o3.i 
202.9 
202.9 
202.8 
202.6 
202.6 


dif.l" 


co-tang. 


10 


10 


sec. 


10 


10 


10 


10 


10 


10 


10 


10 


10 


.990  7016 
9904935 
990  2854 
990  0774 
989  8695 
9896617 
.989  453 
989  246 
9890388 

988  83i4 
988  6241 
988  4169 
.988  2097 
9880027 
987  7958 
987  5890 
987  3822 
987  1756 
.9869690 
9867626 
986  5562 
9863500 
986  1 438 
985  9377 
.985  73 18 
985  5259 
985  3201 
985  1144 
9849088 
984  7033 
984  4979 
984  2926 
984  0874 
983  8833 
983  6773 
983  4724 
983  2675 
9830628 
982  8582 
982  6536 
982  4492 
982  2448 
,982  0406 
981  8364 
981  6323 
981  4283 
981  2244 
981  0206 
9808169 
9806133 
9804098 
980  2064 
9800031 

9797998 
,979  5967 
979  3936 

979  1907 
978  9878 

978  785o 
978  5824 
.978  3798 


10.0022547 
2569 
3590 
3612 
3633 
2655 

10.0032677 
2698 
2720 
2741 
2763 
2785 

io.ooaa8o6 
3828 
2849 
2871 
2893 

2914 

10.0032936 
2958 
2980 
3ooi 
3o23 
3o45 

10.0033067 
3o88 
3rio 
3i32 
3i54 
3i75 

10.0023197 
3219 
3241 
3263 
3285 
33o6 

10.0023328 
335o 
3372 
3394 
3416 
3438 

10.0023460 
3482 
35o4 
3526 
3548 
3570 

10.0023593 
36i4 
3636 
3658 
368o 
3702 

10.0023724 
3746 
3768 
3790 
38i2 
3834 

IO.0O23857 


d.l" 


tang. 


co-sec. 


3.3 
2.1 
2.2 
2.1 
2.2 
2.2 
2.1 
2.2 
2.1 
2.2 
2.2 
2.1 
2.2 
3.1 
2.3 
3.2 
2.1 
2.2 
2.2 
2.2 
2.1 
3.3 
3.3 
2.3 
3.1 
2.2 
2.2 
2.2 
2,1 
3.3 
2.2 
2.2 
2-2 
2.2 
2.1 
2.2 
2-3 
3.3 
2.2 
2.3 
3.2 
3.2 
2.3 
3.2 
3.3 
3.3 
2.2 
2.2 
2.2 
2.2 
2.2 
2.2 
2.3 
3.3 
3.3 
3.2 
3.3 
3.3 
2.3 
3.3 


co-sin. 


9.9977453 
743 1 
7410 
7388 
7367 
7345 

9.9977323 
73o2 
7280 
7259 
7237 
7215 

9.9977194 
7172 
7i5i 


10' 
5o 
40 
3o 
20 
10 

y 

5o 

4o 

3o 

20 

10 

8' 

5o 

4o 

71 29!  3o 

7107 

7086 


9.9977064 
7042 
7020 
6999 

6977 
6955 

9.9976933 
6912 
6890 
6868 
6846 
6825 

9.9976803 
6781 
6759 
6737 
6715 
6694 

9.9976672 
665o 
6628 
6606 

6584 
6562 
9.9976540 
65i8 
6496 

6474 
6452 
643o 

9.9976408 
6386 
6364 
6342 
6320 
6298 

9.9976276 
6254 
6232 
6210 
6188 
6166 

9.9976143 


d.l' 


sin. 


20 

10 

7' 

5o 

4o 

3p 

20 

10 

6' 

5o 

4o 

3o 

20 

10 

5' 

5o 

4o 

3o 

30 

10 

4' 

5o 

4o 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

10 

2' 

5o 

4o 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 

0' 




840 


r-* 


LO&AmiTUlIIO     SINES,     TANGENTS,     &C 


«« 


17»o 


sinu 


diCi" 


2CX>.2 
200.2 
200.1 

aoo.ol 


0'  9.0192346 
10  0(94348 
20  0196350 
3o  0198351 
4o  <no  o3Si 
5o  020  235o 
1'  9x>2o4348 
10  020  6346 
20  oio  834a 
3o  021  o337 
4o  021  2332 
5o  0214325 
2'  9.021  63 1 8 
10  021  83 10 
20  022  o3oo 
3o  022  2290 
4o  022  4279 
•5o  0226267 
3'  94*228254 
10  023  0240 

033  2225 
0234210 
0236193 
0238175 

9^)24  01 57 
024  2 1 38 
02441 1 7 

**^1  £2^197 


20 

3o 

Ho 

5o 

4' 

10 

20 

3o 

4o 

5o 

5' 

10 

20 

4o 

5o 

6' 

10 

20 

3o 


025oo5i 

9.025  2027 
025  4oo2 
025  5977 

025  7950 
0259922 

026  1094 
94*26  3865 

026  5834 
026  7803 
026  977 1 
4o  027  1738 
5o  0273704 
7'  9.027  5669 
10  027  7634 
20  027  9597' 
3o  028  1 56o 
4o  028  352 1 
5o  028  5482 
8'  90287442 
10  028  9401 
20  0291359 
3o  029  53  [6 
40  029  5272 
5o  029  7228 
!>'  9.0299182 
10  o3oii36 
20  o3o  3o68 
3o  o3o  5o4o 
4o  o3o  6991 
5o  o3o  8Q4f 
W  9.03 1  0890 


co-urn. 


99-9 
99.8 

99.8 

99.6 

99.5 

99-5 
99-3 

99.3 

99.2 
99.0 

9Q.O 

9^9 

98.8 


co-tee. 


taiif. 


dif.1" 


10.9807654 

980  565a 
98o365o 
980  1649 


9799649  0224396 


979  7650 
10.979  5652 
979  3654 
979  i658 
9789663 
9787668 
978  5675 
J0.978  3682 
9781690 
9779700 

977  7710 

9775721 

9»-7,,  977  3733 

98.6 '^-977 '746 
^  -   9769760 

976  7775 
976  5790 
976  38o7 
976  1825 
10.9759843 
975  7862 
975  5883 
975  3904 
975  1926 

9749949 
»«>'9747973 
9745998 
974  4o23 
974  2o5o 
9740078 
9738106 
10.9736135 
9734166 
9732197 


98.5 
98.5 
98.3 
98.2 
98.2 
98.1 

97-9 
97.9 

C37.8 


97-7 
97.6 
97.5 
97.5 
97.3 
97.2 
97.2 

971 
96.9 
96.9 
96.8 
96.7 
96.6 
96.5 
96.5 
96.3 
963 
96.1 
96.1 
960 

'^t 

95.7 
95.6 
95-6 
95.4 
95.4 
95.2 
95.2 
95.1 
95.0 
94.9 


dif.l" 


9.021  6202 

021  8237 

022  oaSi 

02a  2274 


9730229  0294498 

9728262  0296488 

97a  6206  029  8477 
10.972  433 1  9.o3o  o464 

972  a366  o3o  245 1 

972  o4o3 

971  8440 

971  6479 

97  r  45  IB 
10.971  25589.031  2373 

971  0599  **3i  4354 

9708641 

9706684 

9704728 

970  2772 
10.970  0818  9.o3a  4a49 

9698864  0326225 

9696912 

9694960 

9693009 

969  1059 


10.968  9U0 


MuC*. 


022  63 1 8 
9.02  a  8338 

023  o357 
023  2376 
023  4393 

023  64io 
oa3  8426 

9.0240441 

024  245s 
024  4468 
024  6480 

024  8491 

025  o5oi 

9.025  25lO 
0254519 
oa56526 

025  8533 

026  0539 
026  2544 

9.026  4548 

026  655  r 
0268553 
0270554 

027  2554 
027  4554 

9.0276552 

027  855o 

028  o546 
028  2542 
0284537 

028  653 1 
9.028  8524 

0290517 

029  25o8 


co-tang. 


o3o4437 
o3o6422 
o3o  8407 
o3i  0390 


o3i  6335 
o3i83i5 
o32  0294 
o32  2272 


032  8200 

033  0175 
o33  2149 
o33  4i2i 

9.033  6093 


oo-taof. 


202.5 

202.4 

202.3 

20a.  2 

202.2 

202  .G 

201.9 

201 .9 

201.7 

201.7 

201.6 

201.5 

201.4 

201.3 

201.2 

201.1 

ao'i.o 

200.9 

200^ 

200.7 

200.7 

200.6 

200.5 

200.4 

200.3 

200.2 

200.1 

200.0 

200.0 

99.8 

99.8 

99.6 

99.6 

99.5 

99.4 

99-3 
99.3 

99.1 
99.0 
99.0 

98 

98-7 

98^ 
96.6 

98.5 

98.5 

98.3 

98.3 

98  I 

98.1 

98.0 

97? 

77.8 

97-7 
970 
97.5 
97.5 
97-4 
97.2 
97.2 


■ee. 


did" 


10-978  3798 

978 1773 
977  9749 

977  7720 

977  5704 

9773682 

10.977  1662 

976  9643 

97676-24 
9765607 
9763590 

9761574 

10.975  9559 

97^7545 
975  5532 

975  352G 

975  i5og 

9749499 
10.9747490 

974  5481 
9743474 
9741467 
9739461 
973  7456 

10.973  545? 
973  3449 
973  1447 
972  9446 
9727446 
97  a  5446 

ia972  3448 
97a  i45o 
971  9454 
971  7458 
971  5463 
971  3469 

10.971  1476 
970  9483 
970  7492 
970  55o2 
970  35x2 
970  i523 

10.9699536 
969  754 
969556 
969  3578 
969  1 593 
968  9610 

10.968  7627 
968  5646 
968  3665 
968  i685 
967  9706 
967  7728 

10.9676751 
967  3775 
967  1800 
9669825 
9667851 
9665879 

10.966  3907 


d-I" 


ioxx)a3857 
3879 
3901 
3923 
3945 
3967 

io.ooa3989 
4oi2 
4o34 
4o56 
4078 
4ioi 

104K>24l23 

4i45 
4167 
4190 
4at2 
4234 
10.0024,257 
4379 
43oi 

4324 
4346 
4368 

10V0024391 
44i3 
4435 
4458 
448o 
45o3 

10.0024525 

4547 
4570 
4592 
461 5 
4637 
10.0024660 
4682 
47o5 

4727 

47  5o 

4773 
10.0024795 

48  r8 
484o 
4863 
4885 

.   4908 

10.0024931 

4953 

4976 

4999 

5o2f 

5o44 

io.ooa5o67 

5089 

5lI2 

5i35 

5i57 

5r8o 

io.oo25ao 


co-«in. 


a. a 
2.2 
2.2 
a.a 
2.2 


9.9976143 
6121 
6099 

6077 
6o5S 
6o33 
•39.99760H 
^'^  5988 
59t)6 
5944 

5q23 

5899 

9.9975877 

5855, 
5833 
58io 
5788 
5766 

9.9975743 
5721 
5699 
5676 
5654 
5632 

919975609 
5587 
5565 
5542 
5520 
5497 

9.9975475 
5453 
543o 
54o8 
5385 
5363 

9.9975340 
53i8 
5295 
5273 
52  5o 

5227 

9.9975205 
5182 

5i6o 
5i37 
5ii5 
5092 
^9975069 

5o47 
5o24 
5oo 

4979 
4956 

99974933 
49" 


3 


a.a 
a. 2 
2.2 

2.3 

2.2 
2.2 
2.2 

2.3 
2^ 

23 
2.2 

2J! 

2.31 

2.2 

2.2 

a.3 

2.2 
2.2 
2.3 

a.2 
a.3 
a.a 
2.2 

2.3 

a.a 

a.a 

a.3l 

2J2 

a.3 

2J2 

a.3 

2.31 

2.2 
2.3 
2,2 
2.3 
2.2 
2.3 
2.3 
2.2 
2.3 
2.3 
2.2 
2.3 
2.3 
2.2 
2.3 
23 
3.2 
2.3 
2.3 


Ung, 


co-aec,  \d.l" 


4888 
4865 
4843 
4820 
9.9974797 


60 
5(. 
4o 
3o 
20 
10 
59' 
5c 
40 
3o 
20 

10 

.58' 
5o 
4o 
3() 
20 
10 
57' 
5( 
4o 
3o 
20 
10 
56 
5o 
40 
3o 
20 
10 
55' 
5o 
4o 
3o 
20 
10 
54' 
5o 
/o 
:0 
;o 
10 
53' 
5o 
4o 
3o 
20 
10 
.52' 
5o 
4o 
3o 
20 
10 
51' 
5o 
4o 
3o 
20 
10 
50' 


•m. 


830 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


195 


6» 


1730 


10' 
10 
20 
3o 
4o 
5o 
11' 
10 
20 
3o 
4o 
5o 
12 

iO 

20 
3o 
40 
5o 
13 
10 
20 
3o 
4o 
5o 
14' 
10 
20 
3() 
40 
5o 
1.5' 
10 
20 
3o 
4o 
5(1 
16 
10 
20 
3o 
4o 
5o 
17' 
10 
20 
3() 
4c) 
5o 
18 
10 
20 
3() 
4o 
5(> 
i:> 
10 
20 
3() 
40 
5o 
20 


sm. 


9.03 1 
o3i 
o3i 
o3i 
o3i 
o32 

9.032 
o32 
o32 
o32 
o33 
o33 

9.033 
o33 
o33 
o34 
o34 
o34 

9.03  >! 
o34 
o34 
o35 
o35 
o35 

9.0J5 
o35 
o36 
o36 
o36 
o36 

9-036 
o37 
o37 
o37 
o37 
o37 

9-038 
o38 
o38 
o38 
o38 
039 

9.039 
0J9 
039 
039 
039 
o4o 

9.040 
o4o 
o4o 
o4o 
04  f 
o4i 

9.04 1 
o4i 
o4i 
042 
042 
042 

9.042 


diCl" 


0890 
2839 
4786 
6733 
8678 
0623 
2567 
45io 
6452 
8393 

o334 

2273 

42(2 

6149 
8086 
0022 

1957 
3892 

$825j 

7757| 
9689 
1620' 
355o| 

5479! 

7407 

9334 

1261 

3 1 86^ 

5i  ii| 

7o35, 

8958; 

0880; 

2801 

4721 

664i 

8559 

0477 
2394 
43io 
6226 
8r4o 
00  54 
1966 
3878 
5789 
7699 
9608 
i5i7 
3424 
533 1 
7237 
9142 
1046 
2950 
4852 

6754 
8655 
o555 

2454 
4352 
6349 


co-am. 


94.9 
94.7 
94.7 
94.5 
94.5 
94.4 
9I.3 
94.2 

9ii 
94.1 
93.9 
93-9 
93.7 
93.7 
93.6 
93.5 
93.5 
93.3 
93.2 
93.2 
93.. 
93.0 
92.9 
92.8 
92.7 
92.7 
92.5 
92.5 
92.4 
92.3 
92.2 
92.1 
92.0 
92.0 
91.8 
918 
91.7 
91.6 
91.6 
91.4 
91.4 
91.2 
91.2 
91.1 
91 -O 
90.9 
90.9 
90.7 
90.7 
90.6 
90.5 
90.4 
90.4 
90.2 
90.2 
90.1 
90.0 
89.9 
89.8 
89.7 


co-sec. 


diCl" 


10.968 
968 
968 
968 
968 
967 

10,967 
967 
967 
967 
966 
966 

10.966 

9f>6 
966 
965 
965 
965 

10.965 
965 
965 
964 
964 
964 

10.964 
964 
963 
963 
963 
963 

10.963 
962 
963 
962 
962 
962 

10.961 
961 
961 
961 
961 
960 

10.960 
960 
960 
960 
960 
959 

10.959 
959 
959 
959 
958 
958 

10.958 
958 
958 
957 
957 

9^7 
10.957 


9110 
7161 
5314 

3267 

l322 
9377 
7433 

5490 

3548 
1607 
9666 
7727 
5788 
385 1 
1914 
9978 
8043 
6108 

4175 
2243 
o3ii 
838o 
64  5o 
4521 
2593 
0666 
8739 
6814 
4889 
2965 
1043 
9120 
7199 
5279 
3359 

i44r 
9523 
7606 
5690 

3774 
i860 
9946 
8o34 
6122 
421 1 
23oi 
0392 
8483 
6576 
4669 
2763 
o858 
8954 
7o5o 
5i48 
3246 
1 345 
9445 
7546 
5648 
3751 


sec. 


tang. 


9.033  6093 

033  8064 

034  oo35 
o34  2004 
o34  3972 
o34  5940 

9.034  7906 

034  9872 

035  i837 
o35  38oi 
o35  5764 

035  7727 

9.035  9688 

036  1649 
o36  3609 
o36  5567 
0367526 

036  9483 

9.037  1439 

037  3394 
o37  5349 
o37  730J 

037  9256 
o38i2o8 

9.038  3 1 59 

038  5109 
o38  7o58 

038  9007 

039  0955 
039  2903 

9.039  4848 
0396793 

039  8737 

040  068 1 
o4o  2623 
o4o  4565 

9.040  65o6 
o4o  8446 
o4i  o385 
o4i  2324 
o4i  4261 
o4[  619S 

9.041  8 1 34 
042  0069 
042  2oo3 
042  3936 
042  5869 

042  7800 

9.042  973  r 

043  1661 
043  3590 
043  5519 
043  7446 

043  9373 

9.044  1299 

044  32  23 
0445 1 48 

0447071 
o44  8993 
0450915 

9.045  2836 

co-tang. 


di£l" 


97.1 

90.8 
96.8 
96.6 
96.6 
96.5 
96.4 
96.3 
96.3 
96.1 
96.1 
96.0 
95.8 
95.9 

95.7 
95.6 
95.5 
95.5 

95.4 
95.3 
95.2 
95.1 
95.0 
94.9 
94.9 
94.8 

94-7 
94.6 
94.5 
94.4 
94.4 
94.2 
94.2 

94.1 
94.0 
93.9 
93.9 
93.7 
93.7 
93.6 
93.5 
93.4 
93.3 
93.3 

'?•' 

93.0 
92.9 
92.9 
92.7 
92.7 
92.6 
92.4 
92.5 
92.3 
92.2 
92.2 
92.1 

diCl" 


co-tang. 


10.966  3907 
966  1936 
9659965 
965  7996 
965  6028 
965  4o6o 

10.965  2094 
9650128 
9648163 
96461 
96442 
964  2273 

10.9640312 
963  835  T 
963  6391 
9634433 
963  2474 
963o5i7 

10.962  856i 
9626606 
962  465 1 
962  2697 
962  0744 
961  8792 

10.961  684i 
961  4891 
961  2942 
961  0993 
960  9045 
9607098 

10.960  5i52 
9603207 
960  1 363 
959  93 1 9 
959  7377 
959  5435 

10.959  3494 
959  1 554 
9589615 
958  7676 
958  5739 
958  38o2 

10.958  1866 
9579931 
957  7997 
957  6064 
95741 3  r 
957  2200 

10.957  0269 
956  8339 
9566410 
956  4481 
956  2554 
956  0627 

10.955  8701 
955  6777 
955  4852 
955  3929 
955  1007 
9549085 

10.9547164 

tan?. 


■ec. 


10 


10 


10 


lO 


10 


10 


10 


10 


10 


£0 


10 


.0025203 

5226 

5248 

5271 
5394 

53i7 
0025340 
5362 
5385 
5408 
543 1 
5454 
.0025477 
5499 

5522 

5545 

5568 
5591 

.oo256i4 
5637 
566o 
5683 
5706 
5729 

.0025752 
5775 
5798 
5821 
5844 
5867 

0025890 
5913 
5936 
5959 
5982 
6oo5 

0026029 
6o52 
6075 
6098 
6121 

6i44 

.0026167 

6191 

6214 

6237 

6260 

6284 

0026307 

■   633o 

6353 

•  6377 

6400 

6423 

.0026446 

6470 

6493 

65i6 

654o 

6563 

.0026586 


co-sec.   d.1 


d.l' 


co-8in. 


Kin. 


50' 
5o 
4o 
3o 
20 
10 
49' 
5o 
4o 
3o 
20 
10 
48' 
5o 
40 
3o 
20 
10 
47' 
5o 
4o 
3o 
20 
10 
46' 
5o 
4o 
3o 
20 
10 


9.9974797 
4774 

47^2 

4729 

4''o6 

4683 
9.9974660 

4638 

46i5 

4592 

4569 

4546 
9.9974523 

45oi 

4478 

4455 

4432 

4409 
9.9974386 

4363 

4340 

4317 

4294 

4271 
9.9974248 

4225 

4202 

4179 
4i56 

4i33 
9.9974  rioj45' 

4087 

4o64 

4o4i 

4oi8 

3995 
9.9973971 

3948 

3925 

3902 

38-9 

3856 
9-9973833 

3809 

3786 

3763 

3740 

3716 
9.9973693 

3670 

364- 

3623 

36oo 

3577 
9.9973554 

353o 

35o7 

3484 

3460 

3437 
9.9973414 


5o 
40 
3o 
20 
10 
44' 
5o 
4o 
3o 
20 
10 
43' 
5o 
40 
3o 
20 
10 
42' 
5o 
4o 
3o 
20 
10 
41' 
5o 
4o 
3o 
20 
10 
40' 


9G0 


830 


1 

■!"■■■ 


I 


I 


196 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


«o 


173° 


2:k  9.04a  6249 

to  043  Bi4d 

90  043  004 

3o  043  1937 

4o  043  353 1 

5o  043  5724 

:JI' 9.043  7617 

10  o4i95oiJ 

ao  044  1 399 

3o  n44  3ao9 

4o  o44  5i7« 

5o  044  7066 
22'  9.044  »954 

10  045  oa4o 

20  045  372'6 

3o  o45  46 1 1 
4o  o45  649^3 
5o  045  B37tJ 
SKJ'  9.046  0261 
lo  0462143 
ao  0464023 
3o  o46  59^3 
4o  o46  77^3 
5o  o46  9661 
24' 9.047  ^538 
10  047340 
ao  o47  525?i 
3o  o47  7i*36 
4o  o47  9'34o 
5o  04B0914 
&  9.048  ^7*^ 
10  048  4658 
w  o48  6529 
3o  o48  8399 
4o  049  0269 
5o  0492137 
26'  9.049  4oo5 
10  049  5872 
ao  o49  7738 
30  o49  96t>3 
4o  o5o  1 468 
5o  o5o333i 
27'9-o5o5i94 
10  o5o  7o56 
so  0508917 
3o  o5i  0778 
4b  o5i  263- 
5o  o5i  4496 
2d'9.o5i6354 
10  o5i  821 1 
30  0^2  0068 
3o  o5a  1923 
4o  o53  3778 
5o  o52  5632 
a.y  9.o52  7485 
10  o52  933s 
ao  o53ii89 
3o  o53  3o4o 
4o  o53  4890 
5o  o53  6739 


dif.  1 " 


30'  9.o53  8588 


e«-flia. 


189.7 

189.6 
189.5 
189,4 
189.3 
189.3 

189.1 

189.0 

188.9 

188.8 

188.8 

188.6 

188.6 

188.5 

188.4 

188.3 

188.3 

188.2 

188.0 

188.0 

188.0 

187.8 

187.7 

187.7 

187.6 

187.5 

187.4 

187.4 

187.2 

187.2 

187. 1 

187.0 

187.0 

186.8 

186.8 

186.7 

186.6 

186.5 

186.5 

186.3 

186.3 

186.2 

186.1 

186.1 

185.9 

185-9 

185.8 

185.7 

185.7 
185.5 
185.5 
i85.4 
185.3 
185.3 
i85.i 
1 85. 1 
i85o 

184.9 
184.9 


10.9573751 

957  1 854 


tmag. 


9560958  0456675 


9568063 
956  6  r  6^ 
956  4276 

r 0.956  2383 
956049a 
955  8601 
9556711 
955  482a 
955  2934 

10.955  io46 
9549160 
954  7274 
954  5380 
954  35o5 
954  162  a 


10.953  9739  9.048  7270 
9537857  0489175 
953  5977  049  1 079 
953  4i>97  049  298 J 
9532217  0494886 
9530339  0496788 

10.95284629.0498689 


9.045  2836 
a45  4756 


045  8593 
o46t>5ii 

046  2428 
9.046  4343 

046  6258 
0468173 

047  0086 

o47  i999 
047391c; 

9.0475821 

047  773 1 

0479641 

048  1549 
o48  3457 
o48  5364 


M, 


192.0 

'9* -9 
191.8 

191.8 

191.7 

191. 5 

191.5 

191.5 

191.3 

191.3 

191.1 

191. 1 

191.0 

191 .0 

190.8 

190.8 

190.7 


oo-tan|f* 


10.9547164 


diCl" 


952  6585 
952  4709 
952  2834 
9520960 
951  9086 

10.951  7ai4 
951  5342 
95  J  3471 
951  1601 
9509731 
950  7863 

10.950  5995 
9504128 
950  2262 
950  0397 
9498532 
9i£i9  6669 

10.9494806 
949  2944 
949  io83 
9:^8  9922 
948  7363 
948  55o4 

10.948  3646 
948  1789 
947  993a 
947  8077 
9>J7  62a2 
947  4368 

10.947  25 1 5 
947  f)662 
946  88 II 
946696b 
946  5iio 
946  3  26 1 

10.946  i4ia 


o5o  0589 
o5o  2489 
o5o  4387 
o5o  6285 
o5o8i82 
9,o5i  0078 

o5i  1974 
o5i3869*"V 
0515762) '59- 
o5i  7656 
o5i  9548 

9.052  1439 
o52  333o 
oSa  5220 
o5a  7109 

052  8997 

053  0884 

9.053  2771 
o53  4657 
o53  6542 

053  84a6 
o54o3io 
0542192;^^-^ 

9.054  4074    o^-^ 
0545955'^^  ' 

054  7836 
05497 1 5 

055  1594 
o55  347a 


190.3 
190.2 
190.1 
i9<j.o 
190.0 
189.8 
189.8 

189.6 
189.6 
180.5 
3 
189.4 
189.2 
1 89. 1 
1 89. 1 
1 890 
188.9 
188.8 
188.7 
188.7 
188.6 
188.5; 
188.4' 
188.4! 
188. a! 


MO. 


see. 


1 88. 1 
187.9 
187.9 
187-8 

9.055  5349  'f'^'I 
o55  7225   2!  fi 

055  0101  *2"*^ 

o56oo75;j7-4 

056  2649  \lli 
o5647aa'^7"i 

9.056  6595 


eo-tftDg. 


954  5a44 
954  33a  5 

954  1407 
953  948q 
953  7572 

10.953  5657 
953  374a 
953  1827 
9529914 
952  8001 
952  6090 

10.9524179 

952  2269 

952  0359 

951  845 1 

95 1  6543 

-    f>      95 1  4636 

9"a. 0.951  2730 
9o.a   ^^j  ^^5 

'9«j   9508921 

1 00.4    'c    ' 

.^^     9507017 

95o5ii4 
95o3aia 

10.950  i3ii 
949  941 1 
9497511 
9495613 
9493715 
9401818 

10.9489933 
948  8oa6 
948  61 3 1 
948  4238 
948  2344 
948  0452 

10.947  856 1 
9476670 
947  4780 
947  2891 
947  ioo3 
946  91 16 

10.946  7230 

946  5343 
946  3458 
946  1 574 
945  9690 
945  780H 

10.945  5926 
945  4045 
945  2i64 
945  0285 
9448406 
944  6528 

10.9444651 
944  a775 
944  0899 
943  9oa5 
9437151 
943  5378 

10.943  34o5 


187.3 


di£r 


tang. 


10.0026586 
6610 
6633 
6657 
6680 
6703 

10.0026727 

675*) 

6774 

6797 
6821 

6844 

10.0026868 

6891 

6915 

6938 

69f>2 

6985 

10.0027009 

7o32 

7o56 

7079 

7io3 

7127 

10.00271 5o 

7174 
7198 
7221 
7245 
7368 

10.0037293 
73i6 
7340 
7363 
7387 
7411 

10.0037434 
7458 
7482 
75o6 
7529 
7553 

10.0027577 
7601 
7625 
7649 
7672 
7696 

10.0037730 
7744 
7768 

7792 
7816 
7840 
10.0037863 
7887 
7911 
7935 

7959 

7983 

10.0028007 


d.l" 


co-Bin. 


co-iec. 


a. 4 
a.3 
2.4 
a.3 
a.3 

3.4 
2.3 

a. 4 

2.3 

3.4 
3.3 

a. 4 
a.3 
a.4 

2.3 

2.4 
a.3 
2.4 

2.3 

a.4 

2-3 

a-4 
2.4 
a.3 
a.4 
a.4 

2.3 

a.4 

2.3 

a.4 

2.4 
a.4 

2.3 

a.4 
2.4 

2.3 

2.4 
a.4 
a.4 
2.3 
2.4 
2.4 
2.4 
2.4 
2.4 
2.3 

U\ 
2-4' 
2.4 
2.4 

2-4 

2.4 
2.4 
a.3 

2.4 
2.4 
2.4 
2.4 

3.4 

a.4 


9.9973414 
339< 
33fi7 
3343 
33  30 
3397 

9.9973273 
32  5o 
3226 
32o3 
31-9 
3 1 '.6 

9.9973133 
3109 
3o85 
3062 
3o38 
3oi5 

9.9972991 
2968 


d.l" 


2944 
2921 
2897 

2873 
9.9972850 
2836 
2802 
2779 
2755 
2733 
9.9972708 
2684 
266<j 
2637 
2613 
a589 
9.9972566 
a542 
25i8 
2494 

2471 
2447 

9.9972423 
2399 
2375 
235 1 
2328 
23o4 

9.997228 

2256 
2233 
23o8 

2184 

2160 

9.9972137 

2Il3 


2089 
2o65 
204  i 
2017 
9.9971993 


•in. 


40' 
5o 

4o 
3o 
20 
10 

5o 
4o 
3o 
20 
10 
38' 
5o 
4o 
3i 
ao 

lu 

37 
5o 
4o 
3o 
20 
10 

36' 
5o 
4o 
3o 
20 
10 

:J5' 

5o 
4o 
3o 
20 
10 
34 
5o 
40 
3o 
20 
10 
33 
5o 
4o 
So 
20 
\o 
3'J' 
5o 
40 
3o 

30 
10 

31' 

5o 
4o 
3o 
30 
10 
3<)' 


830 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


197 


60 


173« 


3I>' 
10 
20 
3o 
4o 
5o 
31' 
10 
20 
3o 
40 
5o 
32' 
10 
20 
3o 
4o 
5o 
33' 
10 
20 
3o 
4o 
5o 

:m 

10 
20 

3o 

4o 
5o 

;J5' 
10 
20 
3o 
40 
5o 
•36' 
10 
20 
3o 
4o 
5o 
37' 
10 
20 
3o 
40 
5o 
38' 
10 
20 
3o 
4o 
5o 
31)' 
10 
20 
3o 
4o 
5o 
40' 


Bin. 


9.053  8588 
o54  0435 
o54  2282 
0544128 
o54  5973 

054  7818 
9.0549661 

055  i5o4 
o55  3346 
0555187 
o55  7028 

055  8867 

9.056  0706 

056  2544 
o56  4382 
0566218 
o56  8o54 

056  9880 

9.057  1733 

057  3556 
057  5389 
o57  7221 

057  9053 

058  0882 

9.058  271 1 
o58  4540 

058  6368 
0588195 
0590022 

059  1847 
9.0593672 

059  5496 
0597319 
0599143 
0600963 

060  2784 
9.060  46o4 

0606424 
0608242 
o6f  0060 

061  1877 
061  3693 

9061  5509 
061  7334 

061  91 38 

062  0951 

063  2763 
062  4575 

9062  6386 

062  8196 
o63ooo5 

063  i8i4 
o63  3622 
o63  5439 

9.063  7235 

063  9041 

064  o846 
064  365o 
064  4453 
064  6355 

9.064  8057 


co-Bin. 


diCl" 


84.7 

84.7 

84  6 

84.5 

84.5 

84.3 

84.3 

84.2 

84.1 

84.1 

83.9 

83-9 

83.8 

83.8 

83.6 

83.6 

83.5 

83.4 

83.3 

83.3 

83.2 

83.1 

83.0 

82.9 

82.9 

82.8 

82.7 

82.7 

82.5 

82.5 

82.4 

82.3 

82.3 

82.1 

82.1 

82.0 

82.0 

81.8 

81-8 

81.7 

81.6 

81.6 

81.5 

81.4 

81.3 

8r.2 

81.2 

81.1 

81.0 

80.9 

80. 

80. 

80.7 

80.6 

80.6 

80.5 

80.4 

80.3 

80.2 

80.2 

dif.l' 


co-sec. 


10. 


10 


10 


10 


10 


10 


10. 


10 


10 


10 


10 


946  l4'2 
945  9565 
9457718 
945  5872 
945  4027 
945  2182 

.945  0339 
944  8496 
944  66:)4 
9444813 
944  2972 
944  II 33 

.943  9294 
943  7456 
9435618 
943  3782 
943  1946 
943  01 1 1 

.942  8277 
942  6444 
942  4611 
942  2779 
942  0948 
94t  9118 

.941  7389 
94  f  5460 
941  3632 
941  i8o5 
940  ,978 
9io8i53 

.940  6328 
940  45o4 
940  268 1 
940  o858 
9399037 
9397216 

.939  5396 
939  3576 
939  1758 
938  9940 
9388123 
938  63o7 

•938  4491 
938  2676 
938  0862 

937  9049 
9377237 
937  5435 
.937  2614 
937  i8o4 
936  9995 
9368186 
936  6378 

9364571 
.936  2765 
936  0959 
935  9154 
935  735o 
935  5547 
935  3745 
».935  1943 


aec. 


tang. 


9.o56  6595 

056  8466 

057  o337 
o57  2207 
o57  4076 
o57  5945 

9.0577813 

057  9679 
o58i545 

058  34ii 

058  5275 
0587139 

9.o58  9002 

059  0864 
059  2726 
059  4586 
059  6446 

059  83o5 
9.0600164 

060  2021 
0603878 
060  5734 
0607589 

060  9444 

9.061  1397 

061  3i5o 
061  5oo2 
0616854 

061  8704 
063  o554 

9.062  24o3 

062  4252 
062  6099 
062  7946 

062  9793 
06  3  16.37 

9.063  3482 

063  5325 
o63  7168 

063  901 1 

064  o852 
064  2693 

9.064  4533 

064  6373 
0648210 
o65oo48 

065  1 885 
o65  3721 

9.065  5556 
o65  7391 

065  9225 

066  io58 
066  2890 
0664723 

9.0666553 

066  8383 
0670313 

067  2o4i 
067  3869 
067  5696 

9.067  7522 


diCl" 


co-tang. 


87.1 
87.1 
87.0 
86.9 
86.9 
86.8 
86.6 
86.6 
86.6 
86.4 
86.4 
36.3 
86.2 
86.2 
86.0 
86.0 
85.9 
85.9 
85.7 
85.7 
85.6 
85.5 
85.5 
85.3 
85.3 
85.3 
85.2 
85.0 
85.0 

84-9 
84-9 
84-7 
84-7 
84.6 

84.5 
84.5 
84.3 
84.3 
84.3 
84.1 
84.1 
84.0 
83.9 
83.8 
83.8 
83.7 
83-6 
83.5 
83.5 
83.4 
83.3 
83.2 
83.2 
83.1 
83.0 
82.9 
82.9 
82.8 
82.7 
82.6 


co-tan». 


10.943 
943 
942 
942 
942 
94a 

10.943 
942 
941 
941 
941 
941 

10.941 
940 
940 
940 
940 
940 

10.939 

939 
939 

939 

939 

939 

10.938 

938 
938 
938 
938 
937 
10.937 
937 
937 
937 

937 
936 

10.936 
936 
936 
936 
935 
935 

10935 
935 
935 
934 
934 
934 

10.934 
934 
934 
933 
933 
933 

10.933 
933 
93  a 
932 
932 
932 

10.932 


34o5 
1 534 
9663 
7793 

5924 
4o55 

2187 

o32i 

8455 

6589 

4725 

2861 

0998 

9i36 

7274 

54i4 

3554 

16 

9830 

7979 
6122 

4266I 

24ri 
o556 
8703 
685o 
4998 
3 146 
1296 
9446 
7597 
5748 
3901 
2o54 

03o8 

8363 
65r8 
4675 

2832 

0989 
9148 
73o7 

5467 
3628 
1790 

9952 
8u5 
6279 

4444 
2609 
0775 
8942 
7110 
5278 

3447 
1617 
9788 

l^l^ 
6i3i 

43o4 

2478 


dif.  I" 


taug. 


Bee. 


d.1" 


10 


10 


10 


10 


ro 


10 


10 


10 


10 


10 


10 


0028007 
8o3i 
8o55 
8079 
8io3 
8127 

002815 1 
8175 
8199 
8224 
8248 
8272 

0028296 
8320 

8344 
8368 
839 
84i7 
.0028441 
8465 

8489 
85i3 

8537 
8562 

,0028586 
8610 
8634 
8659 
8683 
8707 

0028732 
8756 
8780 
8804 
8839 
8853 

.0028878 
8902 
8926 
8951 
8975 
8999 

.0029024 
9048 
9073 
9097 
9122 
9146 

,0029171 
9195 
9220 
9244 
9269 
9293 

.0029318 
9342 
9367 
9391 
9416 
9441 

.0029465 


co-sec. 


2.4 
2.4 
2.4 
2.4 
2.4 
2.4 
2.4 
2.4 
2.5 

2.4 
2.4 

2.4 

2.4 
2.4 

2.4 
2.4 

2.5 

2.4 

2.4 

2.4 

2.4 

2.4 

2.5 

2.4 
2.4 
2.4 
2.5 

2.4 
2.5 
2.4 
2.4 
2.4 
2.5 

2.4 

2.5 

2.4 

2.4 

2.5 

2.4 

2.4 

2.5 

2.4 

2.5 

2.4 

2.5 

2.4 

2.5 

2.4 

2.5 
2.4 
2.5 

2.4 

2.5 

2.4 

2.5 

a.4 
a. 5 

2.5 

2.4 


co.«in. 


9-997 


9-997 


9-997 


9-997 


9-997 


993 

962 
943 
921 

897 
873 

840 
82D 

801 
776 
753 
728 
704 
680 
656 
633 
608 
583 
559 
535 
5ii 

487 
463 

438 

4i4 
390 
366 
341 
3i7 
293 
268 

244 
220 
196 
171 

147 
122 
098 
074 

049 
025 
001 
9.9970976 
0952 
0927 
ooo3 
0878 
o854 
9.9970829 
o8o5 
0780 
0756 
0731 

0707 

9.9970682 

o658 

o633 


9-997 


9-997 


d.1" 


30' 
5o 
40 
3o 
20 
10 
29' 
5o 
40 
3o 
20 
10 
28' 
5o 
40 
3o 
20 
10 
27' 
5o 
4o 
3o 
20 
10 
26' 
5o 
4o 
3o 
20 
10 
2.5' 
5o 
4o 
3o 
20 
10 
124' 
5o 
40 
3o 
20 
10 
2.3' 
5o 
4o 
3o 
20 
10 
22' 
5o 
40 
3o 
20 
10 
21' 
5o 
4o 


0609  3o 


o584 
0559 
9.9970535 


■in. 


20 

10 

20' 


90« 


830 


198 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


HO 


173° 


•in. 


40' 

lO 

3(1 
4" 

5<) 

41' 

lo 

2«> 

3<i 

4" 

5o 

42 

lo 

20 

3o 
4o 
5() 
4:) 

lO 

ao 
3o 
4o 

5() 

44' 

10 

30 

3o 
4o 
5o 
45 

10 

ao 
3o 
4o 
So 
4(i' 

10 

ao 

3o 
4o 
5o 
47 

lO 

ao 

i30 

4o 
5o 

4d' 

lO 

no 
3o 
4o 
5o 
49' 
lo 
ao 

4o 

5o 

W 


9.064  8057 
t)64  9855 
o65  1 658 
<>f)5  3458 

065  5:>57 
<t65  7()55i 

9.065  885ji 
o6()  ()64H 

066  3(444 
f)6(>4'>39 
(»6(i6(j33 
06678^7 

9.0669619 

067  i4i  I 
o67  3,>o3 
«>67  4993 
067  6783 

067  8572 
9.1168  o36<> 

068  2147 
068  3934 
068  5720 
068  75<)5 

068  929f  )j 

9.069  1074 
<»69  3857 

069  4639I 

069  642 1 
0698201 
<j69  998r 

9.070  f^h\ 

070  3539 
070  53  r  7 
070  7094, 
0708871 


did" 


07 1 


9.071  2421 
071  4195 
071  5969 
071  774 1 

071  951 3 
072 1285 

9.072  3o55| 

072  48251 
072  6594I 

072  836 J! 
O73o»3o 

073  1896 

9.073  3663 
073  5428 
0737193 

073  8957 

074  0720 
074  2482 

9.074  4a44 
0746005 

074  7765 
0749525 

075  1284 
075  3o42 

9  075  4799 


91^-mB, 


1 80. 1 
180.0 
180,0 
179.9 
179.8 

'  79-7 
1 79.6 
1-9.6 
179.5 
179.4 
179.4 
179.2 

179-2 

179,2 

179.0 
179.0 
178.9 
178.8 

178.7 
178.7 
178.6 
178.5 
t78.5 

178.4 
178.3 
«78.2 
178.2 
178.0 
178.0 
f78.o 
»77-8 
177.8 

177-7 

177.7 

177.5 

177-5 

1 77-4 

177-4 

177.2 

177.2 

177.2 

177-0 

177.0 

1769 

176.8 

176-8 

176.6 

176.7 

176.5 

176 -5 

176.4 

176.3 

176.2 

176.2 

1 76. 1 

176.0 

176.0 

175.9 

175.8 

175.7 


co-«ec. 


1 0.935  1943  9.067  7522 


9350142 
934  8342 
934  6542 
934  4743 
934  ^945 
0.934  I  r48 
933  935: 
933  7556 
933  576 
933  39/ J7 
933  :^I73 

10.933038 
932  8589 
932  6797 
932  5tKi7 
932  3ji7 
932  142b 

10.931  9640 
931  7853 
931  (iofk) 
931  4280 
931  2495 


tang. 


diCl" 


182 

(82 
182 
1 8a 
182 
182 


067  9348 

068  1173 
068  2997 

068  4820 
0686643 

9.0688465;°^ 
0690286  °^ 
ofio  2106   o 

r   o   /-  Io2 

069  39'.>6  Q 
0^)95745'^' 

069  7563 
9.0699381 

070  1 197 
07030 1 3 

070  4829 
07066431 'J' 

0708457 

9.071  0270 

071  2082 
071  3894 
071  5704 
071  75i5 


181 

181 
181 
181 
181 
18 


dif.l" 


93 r  071  ol  071  93?4 
0.930895619.072  1 1 33 
9307143  072  2940 
930  536 1  072  4748 
93(j  3579J  072  6554 
930  1799 
9300019 
10.9298239 
929  646 1 
9294683 

929  29o() 

920  1 129 

928  9354 
10.928  7579 

928  58o5 

928403 1 

928  2259 

928  0487 

9278715 
10.927  6945 

927  5i75 

927  3406 

927  i638 

926  0870 

926  » I  o4 
10.9266337 

9264572 

926  2807 

926  1043 

9259280 

9257518  0773266 
10.925  5756  9.077  5o53 

9253995  077683 

925  2235  077  862 

9250475  0780410 

9248716  0782194 

924  6958  078  3977 
10.924  520I  9.078  5760 


181 
181 
181 
181 
i8t 
180 
180 
180 
180, 
180 

072  836(Ji'Q 

9-«73  19^91,80, 

073  3772  ^^ 

0735575'°^ 

073  7377  ^ 


.6 
.5 
.4 
.3 
3 
a 
.1 
.0 
.0 

t 

.8 
.6 
,6 
.6 
•4 
•4 
.3 
.2 
.2 
.0 
.1 

9 
9 
•7 
.8 
.6 
,6 
.5 

4 
3 
3 


co-taiig. 


0739178 
074  0979 

9.074  2779 
074  4578 

074  6376 
0748174 
0749971 

075  1767 

9.075  3563 
075  5358 
0757152 

075  8945 

076  0738 
076  253o 

9.0764321 
076  61 1 1 
076  7901 


180 
180 
180 
179 

'79 

179 
179, 

179, 
179. 
179. 
179, 
179. 
179- 
179. 

179. 
179 

179 

0769690  ]]J„ 

0771479,78; 

178 
178 
•78 
178 
'78 
178 
178 


•ec. 


co-tang. 


.1 

.0 

9 
.8 

,8 
,7 
.6 
.6 
.5 

.4 
.3 
.3 
.2 
.1 
,0 
.0 

9 
9 

7 
•7 
6 
.6 
.5 
4 
,3 
3 


dif,l" 


10.932  2478 
932  o652 
931  8827 
931  70o3 
93 1  5i8o 
931  3357 
10.931  i535 
9309714 
930  7894 
930  6074 
9304255 
93o  2437 
10.930061a 
929  880J 
929  6987 
9295171 
939  3357 
929  1 543 
10.928  9730 
9287918 
9286106 
92842 
928  24 
928  0676 
10.927  8867 
927  7060 
927  5252 
927  3446 
937  1640 
926  9835 
10.9268031 
9366228 
9364425 
926  2623 
936  0822 
925  9021 
10.925  7221 
925  5422 
925  3624 
925  1826 
925  0039 
924  8233 
10.924  6437 
924  4642 
924  2848 
924  io55 
923  9262 
923  7470 
10.923  5679 
923  3889 
923  2099 
923o3io 
9228521 
922  6734 
10.922  4947 
922  3i6i 
92  a  1375 
921  9590 
921  7806 
921  6023 
10.921  4240 


■ec. 


10.0029465 
9490 
9514 
9539 

9564 
9588 

10.0029613 
9638 
9662 
9687 
9712 
9737 

10.0029761 
9786 
9811 
9835 
9860 
9885 

10.0029910 
9935 

9959 
10.0029984 
io,oo3ooo9 
oo34 
io.oo3oo59 
0084 
0109 
01 33 
oi58 
oi83 
io.oo3o2o8 
0233 
03  58 
03S3 
o3o8 
o333 
io.oo3o358 
o383 
0408 
0433 
o458 
o483 
io.oo3o5o8 
o533 
o558 
o583 
0608 
0633 
io.oo3o658 
o683 


0709 
0734 
0759 
0784 
io.oo3o8o9 
o834 
0860 
o885 


tang. 


0910 

0935 

10.0030960 


co-Bee. 


d.r 

a.5 

a.4 

2.5 
2.5 

2.4 
2.5 
a.5 
2.4 
a.5 

2.5 

2.5 
2.4 
a.5 
a.5 

2.4 

2.5 
2.5 
2.5 
2.5 

2.4 

2.5 
2.5 
2.5 
2.5 
2.5 
2.5 

2.4 
2.5 
2.5 
2,5 

a.5 

2.5 
2.5 

2.5 

2.5 

2.5 
3.5 
2.5 

a.5 

2.5 

2.5 
2.5 
2.5 

2.5 

a.5 
a.5 

2.5 

a.5 
2.5 
2.6 
2.5 
2.5 
2.5 

2.5 
2.5 
2.6 
2.5 

a.5 

2.5 
2.5 


co-Bin. 


9.9970535 
o5io 
o486 
0461 
o436 
o4i2 

9.9970387 

o363 
o338 
o3i3 
0288 
0263 
9.9970239 

0214 
0189 
0160 
oi4o 
on  5 

9.9970090 
oo65 
oo4 

99970016 


9.9969991 
996() 

9.9969941 
9016 
9891 

9867 
9842 

9817 

9.9969793 

9767 

9742 

9717 

9667 
9.9969642 
9617 
9593 
9567 
9542 
9517 
9.9969493 
9467 
9442 

9417 
9393 

9367 
9.9969342 
9317 
9391 
9366 
9241 
9216 
9.996919 
9166 

914^ 
9115 
9090 
9065 
9.9969040 


d.l' 


■in. 


20' 
5o 
4o 
3o 
20 
10 
10 
5o 
4o 
3o 

2U 
iO 

lU 
5o 
4o 
3o 
20 
10 
17 
5o 
40 
3o 
20 
10 
16' 
5o 
40 
3o 
20 
10 
1.5' 
5o 
4o 
3o 
20 
10 
14' 
5o 
40 
3o 

30 
10 

i:j 

5o 

4o 

3o 

20 

10 

12' 

5o 

4o 

3o 

20 

10 

II' 

5o 

4o 

3o 

20 

10 

10' 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


199 


60 


1T30 


50' 
10 
ao 
3o 
4o 
5o 
51' 
10 
20 
3o 
40 
5o 
52' 
10 
20 
3o 
4o 
5o 
53' 
10 
20 
3o 
4o 
5o 
54' 
10 
20 
3o 
4o 
5o 
55' 
10 
20 
3o 
4o 
5o 
56 
10 
20 
3o 
4o 
5o 
57' 
10 
20 
3o 
4o 
5o 
58 
10 
20 
3o 
4o 
5o 
59' 
10 

30 

3o 
4o 
5o 
6iJ 


sin. 


dif.!" 


m*> 


830 


9.075  4799 
075  6556 

075  83 12 
0760067 

076  1822 
076  3575 

9.076  5329 
0767081 

076  8833 

077  o584 
077  2334 
077  4o83 

9.077  5832 
077  758o 

077  9327 

078  1074 
078  2820 
078  4565 

9.0786310 
078  8o54 

078  9797 

079  1539 
0793281 

079  5023 
9.079  6762 

079  85o2 

080  0240 
080  1979 
080  37 1 6 
080  5453 

9.0807189 

080  8924 

081  0659 
081  2393 
o8r  4126 
081  5858 

9.081  7590 

081  9321 

082  I052 
082  2781 
082  45io 
082  6239 

9.082  7966 

082  9693 

083  i4i9 
o83  3i45 
o83  4870 

083  6594 

9.083  83 17 

084  oo4o 
o84  1762 
o84  3484 
084  52o4 

084  6924 

9.084  8643 

085  o362 
08  5  2080 
o85  3797 
o85  55 14 
o85  723o 

9.085  8945 


co-8in. 


75.7 
75.6 
75.5 
75.5 
75.3 

75.4 
75.2 
75.2 
75.1 
75.0 
74-9 
74-9 
74.8 
74-7 
74.7 
74.6 
74.5 
74-5 
74.4 
74-3 
74.2 
74.3 
74-1 

74.0 
74.0 

73.8 
73.9 

73.7 
73.7 
73.6 
73.5 
73.5 

7.3.4 

73.3 

73.2 
73.2 

73.1 
73.1 

72.9 

72.9 
72.9 

72.7 
72.7 

72.6 
72.6 

72.5 
72.4 

72.3 

72.3 
72.2 
72.2 
72.0 
72.0 

7T.9 

71' 

7i' 
71.7 

71-7 
71.6 
71.5 


co4ec. 


10.924  5201 
924  3444 
924  1688 
923  9933 
9238178 
923  6425 

10.9234671 
923  2919 
923  1 167 
922  9416 
922  7666 
922  5917 

10.9324168 
922  2420 
922  0673 
921  8926 
921  7180 
921  5435 

10.921  3690 
921  1946 
921  0203 

9208461 
9206719 
920  4978 
10.9203238 
920  1498 


tang. 


dif.!" 


did" 


9 

9 

9 

9 
10.9 

9 

9 

9 

9 

9 
10.9 

9 

9 

9 

9 

9 
10.9 

9 
9 
9 
9 

9 

10.9 

9 

9 

9 

9 

9 
10.9 

9 
9 
9 
9 

9 

10.9 


1760 
98021 
96284 

94547 
9  2811 

9  1076 

89341 

87607 

8  5874 

8  4«42 

82410 

80679 

78948 

77219 

75490 

7376 

7  2o34 

7o3o7 

6  858 1 

6  6855 

6  5i3o 

6  3406 

6i683 

59960 

5  8238 

565i6 

54796 

5  3076 

5i357 

49638 

47930 

46208 

44486 

42770 

4  io55 


9.078  5760 
078  7542 

078  9823 

079  iio3 
079  2883 

079  4662 

9.0796441 
079821b 
0799995 

080  1771 
080  3547 

080  5322 

9.080  7096 

0808869 

081  0642 
081  24i4 
081  4i85 
081  5956 

9.081  7726 

081  9495 

082  1264 
082  3o32 
0824799 

082  6565 

9.082  833 1 
0830096 

083  i860 
o83  3624 
o83  5387 

083  7149 

9.083  891 1 

084  0672 
o84  2432 
0844191 
o84  5950 

084  7708 

9.084  9466 

085  1222 
o85  2978 
o85  4734 
08  5  6488 

085  8242 

9.085  9996 

086  1748 
086  35oo 
086  52 5 1 
086  7002 

086  8752 
9.087  o5oi 

087  2349 
087  3997 
087  5744 
087  7491 

087  9336 
9.0880981 

088  2736 
088  4470 
0886213 
088  7955 
088  9697 

9.089  i438 


■ec. 


co-tang. 


78.2 
78.1 
78.0 
78.0 

77-9 
77-9 
77-7 
77-7 
77.6 
77.6 
77.5 
77-4 
77.3 
77.3 
77.2 
77.1 
77-1 


co-tang. 


76.9 

76.8 
76.7 
76.6 
76.6 
76.5 
76.4 
76.4 
76.3 
76.2 
76.2 
76.1 
76.0 
75.9 

75-9 
75.8 
75.8 
75.6 
75.6 
75.6 
75.4 
75.4 
75.4 
75.2 
75.2 
75.1 
75.1 
75.0 

74-9 
74-8 
74.8 
74.7 
74.7 
74.5 
74-5 
74.5 
74.4 
74.3 
74.2 
74.2 
74.1 


io.oo3 


10.921  4240  10.0030960 

921  2458     '  °^ 

921  0677 

920  8897 

920  71 17 

920  5338 
10.920  3559  *<^-oo3 

920  1782 

920  ooo5 

9198229 

9196453 

9194678 
10.919  2904  io.oo3 

919 ii3i 

9189358 

9187586 

9i8  58i5 

9184044 
770  10.918  2274 
ZS?   9i8o5o5 

9178736 

9176968 

917  520I 

917  3435 
'"■'^  10.917  1669  io.oo3 
7*^-^   9169904 

9168140 

9166376 

9i6  46i3 

9162851 
10.916  1089  io.oo3 

9i5  932fc 

9x5  7568 

91 5  5809 

91 5  4o5o 

91 5  2393 
10.9150534  io.oo3 

9148778     1901 

9147033     1927 

9145266     1952 

9143513     1978 

914 1758     3oo4 

10.914  0004  I0.0033039 

9138252  2o55 
9i3  65oo  2081 
9134749  2106 
9182998     2182 

918  1248     2i58 
10.912  9499  10.0082188 

9127751  2209 

9126008  2285 

9124256  2261 

912  2509  2286 

9120764  2812 

'Tr  10.91  I  9019  10.0082388 
'^^■^  9IT  7274        2864 

911  553o  2890 
9118787  24i5 
911  3o45  2441 
91 1  0808  2467 
10.910  8562  10.0082498 


sec. 


0986 
on 
086 
061 
087 
112 

187 
1 63 
188 

2l3 

289 
264 
289 
8i5 
340 
365 
891 
416 
442 
467 
493 
5i8 
548 
569 

594 
620 
645 
671 
696 
723 
748 
773 

799 

834 
85o 

875 


did' 


tang. 


d.l' 


co-see. 


2.6 
2.5 
2.5 
2.5 
2.6 
2.5 
2.5 
2.6 
2.5 
2.5 
2.6 
2.5 
2.5 

a.6 
2.5 

2.5 
2.6 
2.5 
2.6 
2.5 
2.6 
2.5 
2.5 
2.6 
2.5 
2.6 
2.5 
2.6 

2.5 

2.6 
2.6 

2.5 
26 
2.5 

2.6 

2.5 

2.6 
2.6 
2.5 
2.6 
2.6 
2.5 
2.6 
2-.6 
2.5 
2.6 
2.6 
2.5 
2.6 
2.6 
2.6 
2.5 
2.6 
2.6 
2.6 
2.6 
2.5 
2.6 
2.6 
2.6 


co-ain. 


9.9969040 
9014 
8989 
8964 
8989 
8918 

9.9968888 

8863 

8887 
8813 
8787 
8761 

9.9968786 

871 1 

8685 
8660 
8685 
8609 
9.9968584 
855« 
8583 
85o7 
8483 

8457 

9.996848 
84o6 
8880 
8355 
8829 
83o4 

9.9968278 
8252 
8227 
8201 
8176 
81 5o 

9.9968125 
8099 
8078 
8048 
8022 
7996 

9,996797 
7945 
7919 

7894 
7868 
7842 

9.9967817 
7791 
7765 
7789 
7714 
7688 

9.9967663 
7686 
7610 
7585 
7559 
7583 

9.9967507 


10' 

5o 

4o 

3o 

20 

10 

9' 

5o 

4o 

3o 

20 

10 

8' 

So 

4o 

3o 

20 

10 

7' 

5o 

4o 

3o 

20 

10 

6' 

So 

40 

3o 

20 

10 

5' 

So 

4o 

3o 

20 

10 

4' 

So 

4o 

80 

20 

10 

3' 

So 

4o 

3o 

20 

10 

2' 

So 

40 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 

0' 


d.l" 


■in. 


960 


830 


200 


LOGAEITHMIC     SINES,     TANGENTS,     &C. 


JO 


ino 


IP 


I 


■in. 


0' 

If) 

20 

3o 

4o 

5o 

1 

10 

20 

3o 

4o 

5o 

2' 

10 

20 

3o 

4o 

5o 

3' 

10 

ao 

3(1 

io 

5o 

4' 

10 

ao 

3o 

4o 

5o 

5' 

10 

20 

3o 

4o 

5o 

6' 

10 

20 

3o 

4o 

5o 

10 
ao 
3o 
40 

8' 
10 

20 

3o 
4o 

W 

10 

so 

3o 

4o 

5o 


W 


9.085  8945 
0860659 
086237J 
0864086 
0865798 
0867510 

9.086  922 
0870^32 
087  2641 

087  435o 
0876059 
0877760 

9.087  9473 

088  1 179 
0882885 

088  459( 
0886294 
0887998 

9.088  9700 

089  i4o3 
0893104 
089  48o5 
0896505 

089  82o5 
9.0899903 

090  1602 
0903299 
0904996 
0906692 
0908387 

9-091  0082 

091  1776 
091  3470 
091  5162 

0916854 

091  8546 
9092  0237 

092  1927 
092  36i6 

092  53o5 
0926993 
0928680 

9.093  o367 

093  2o53 
093  3739 
093  5423 
0937107 

093  8791 

9.094  0474 
0942156 

094  3837 
0945518 
0947198 

094  8877 

9.095  o556 
0952234 

095  3912 
095  558o 
095  7265 
0958940 

9.0960615 


diCl" 


171.4 
171.4 

171.3 

171. 2 

171.2 

171.1 

171.1 

170.9 

170.9 

170,9 

170.7 

170.7 

170.6 

170.6 

170.5 

170.4 

170.4 

170.2 

170.3 

170.1 

170.1 

170.0 

170.0 

169.8 

169.9 

169.7 

169. 

169.6 


co-tee. 


tang. 


10.9 

9 

9 

9 

9 

9 
10.9 

9 
9 
9 

9 

9 
10.9 

9 
9 
9 
9 

9 

10.9 

9 
9 
9 
9 

9 

10.9 


4  io55 
39341 
3  7627 
3  5914 
34202 
3  2490 
30779 
2  9068 
2  7359 
2  565o 
2  3941 
2  2234 
20527 
1  8821 
1  7ii5 
I  5410 
I  3706 


9.089  1 438 
0893178 
0894918 
0896657 

089  8395 
09001J2 

9.090  1869 

090  36o6 
090  5341 

090  7076 
0908810 

091  o544 

9.091  2277 
091  4009 
091  5741 
091  7472 

091  9202 

092  0931 


dif.!" 


1  2002 

I  o3oo  9.092  2660 

08597 

06896 

05195 

o  3495 

o  1795 


co-«ia. 


169 

169.5 

169.4 

169.4 

169.2 

169.2 

169.2 

1 69. 1 

160.0 

168.9 

168.9 

168.8 

168.7 

168.7 

168.6 

168.6 

168.4 

168.4 

168.4 

168.3 

168.2 

168.1 

168.1 

168.0 

167.9 

167.Q 

167.8 

167.8 

167.7 
167.6 
167.5 
167.5 


mv 


9098398 
9096701 
9095004 

909  33o8 

^i6i3 
9918 

9080224 
908  653o 
908  4838 
9o8  3i46 
908  1454 

10.907  9763 
9078073 
907  6384 
9074695 
907  3oo7 
907  1 320 

10.906  9633 

9067947 
9066261 
9064577 
906  2893 
906  1209 


092  4389 
092  61 16 

092  7843 
0929569 

_  . ,  7_  093  1 295 
o  0097J9.093  3o2o 

-*'^-**  0934744 

0936468 

093  8190 
09.39913 

094  io34 
9.094  3355 

094  5075 
0946795 

094  85i4 

095  0232 
095  1950 

9095  3667 
095  5383 

095  7099 

0958814 
0960528 

096  2242 

9096  3955 
0965667 
0967379 
0969090 
0970800 

097  25lO 

1 0.905  952619097  42 1 9 


9057844 
905  6i63 
9o5  4482 
905  2802 

905  1123 

10.9049444 
9047766 
9046088 
9044411 
9042735 
904  1060 

10.903  9385 


097  5928 
0977636 

097  9343 

098  1049 

098  2755 

9.098  4460 
0986165 
0987869 
0989572 

099  1 275 
0992977 

9.099  4678 


fee. 


eo-tanf. 


174.0 

174.0 

173.9 

173.8 

173.7 

173.7 

173.7 

173.5 

173.5 

173.4 

173.4 

173.3 

173.2 

173.2 

173.1 

173.0 

172.9 

172.9 

172.9 

172.7 

172.7 

172.6 

172.6 

172.5 

172-4 

172.4 

172.2 

172.3 

172.1 

172. 1 

172.0 

172.0 

171.0 

171.8 

171.8 

171.7 

171.6 

171.6 

171.5 

171.4 

171  4 

171.3 

171.2 

171.2 

171. 1 

171.0 

171.0 

170.9 

170.0 

170.8 

170.7 

170.6 

170.6 

170.5 

170.5 

170.4 

170.3 

170.3 

170.2 

170.1 


e<»-tang. 


10.9108562 
9106822 
9105082 
9103343 
910  i6o5 
9099868 

10.9098131 
909  6394 


MC. 


t 


90946 
9092924 
909  noo 
908  9456 
10.908  7723 
908  59 
90842 

908  252 
9080798 
9079069 
10.907  7340 

907  56i  1 
907  3884 
907  2 1 57 
907  043 1 
9068705 
10.9066980 
906  5256 
9063532 
906  1810 
906  0087 
905  8366 
10.905  6645 
905  4925 
905  32o5 
905  i486 
9049768 
904  8o5o 
10.904  6333 
9044617 
904  2901 
904  1186 
9039472 
903  7758 
10.9036045 
9o3  4333 
903  2621 
9030910 
9029200 
902  7490 
10.902  5781 
902  4072 
902  2364 
9020657 
901  8951 
901  7245 
10.901  554o 
901  3835 
901  2l3l 
901  0428 
9008725 
9007023 

10.900  5322 


<LI' 


10.0032493 

25i9 
2545 

2571 

2596 

a622 

10.0032648 
2674 
2700 
2726 
2752 
2778 

io.oo328o4 
283o 
2856 
2882 
2908 
2934 

10.0032960 
2986 
3oi2 
3o38 
3o64 
3090 

io.oo33ii6 
3i42 
3169 
3195 

3221 

3247 
10.0033273 

33S 

3352 
3378 
34o4 

io.oo3343o 
3457 
3483 
35o9 
3535 
3562 

IO.0033588 
36i4 
364o 

3667 
3693 
371Q 
10.0033746 
3772 

3798 
3825 
385 1 
3878 

10.0033904 
3930 
3957 
3983 
4010 
4o36 

io.oo34o63 


diCl" 


tang. 


co-sec. 


2.6 
2.6 
2.6 
2.5 
2.6 

2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 
2.6 

2.7 

2.6 
2.6 
2.6 
2.6 
2.6 
2.6 

2.7 

2.6 
2.6 
2.6 

2.7 

2.6 
2.6 
2.6 

2.7 

2.6 
2.6 
2.6 

2.7 

2.6 
2.6 

2.7 

2.6 

2.6 

2-7 

2.6 

2.7 

2.6| 
2.6 

2.7 

2.6 

2.7 

2.6 

2.7 


eo-9in. 


9.9967507  60' 
748 1  5o 

7455  40 

7429  3o 
74o4  20 
7378  10 
9.9967352  .5!)' 
7326  5o 
7300  4o 
7274  3o 
7248  20 
7222  10 
9.9967196  5ti' 
7170  5o 
7144  4o 
71 18  3o 
7092  20 
7066  10 
9.9967040  -57' 
7014  5c 
6988  4o 
696?  3o 
6936  20 
6910  10 
9.996688456' 
6858  5o 
683 I  40 
68o5  3o 
6779  20 
6753  10 
9.99(56727  55' 
6701  5o 
6675  4o 
6648  3o 
6622  20 
6596  10 
9.9966570  54' 
6543  5o 
65i7  4o 
64qi  3o 
6^i65  20 
6438  10 
9.996641553' 
63?6  5o 
636o  4o 
6333  3o 
63o7  20 
6281  10 
9.996625452' 
6228  5o 
6202  4o 
6175  3o 
6149  20 
6127  10 
9.9966096  51' 
6070  5c 
6043  4o 
6017  3o 
5990  20 
5964  10 
9.9965937  50 


d.1" 


■in. 


WfO 


82° 


LOGARITHMIC     SINES,     TANGENTS, 


(fee. 


201 


70 


1720 


10' 
10 
20 
3o 

4o 
5o 
11 
10 
20 
3o 
40 
5o 
12' 
10 
20 
3o 
4c 
5() 
13 
10 
20 
3o 
40 
5o 
14 
10 
20 
3o 
40 
5o 
15' 
10 
20 
3o 
4o 
5o 
16 
10 
20 
3o 
4o 
5o 
\7' 
10 
20 
3o 
4o 
5o 
18 
10 
20 
3o 
4o 
5o 
19' 
10 
20 
3o 
4o 
5o 

2;v 


■in. 


9.0960615 
096  2289 
096  396J 
096  5636 
096  73o8 

096  8980 

9.097  o65 1 

097  2321 

0973990 
097  5650 
097  7328 

097  8995 

9.098  0662 

098  2329 
098  3993 
098  566o 
098  7324 

098  8988 

9.099  065 1 

099  23 1 3 
099  3975 
099  5636 
099  72c 
09989. 

000616 
00  2275 

00  3o33 
005590 

007247 
008903 

01  o558 

01  22l3 

01  3867 

01  5520 

01  7173 

01 8825 

02  0477 

02  2128 
02  3778 
02  5428 

02  7077 

02  8725 

03  0373 
o3  2020 

03  3667 
o3  53i2 
o3  6958 

03  86o2 

04  0246 
o4  1889 
o4  3532 
045174 
04  68x5 

04  8456 
050096 

05  1736 
o5  3375 
o5  5oi3 
o5  665i 
o5  8288 
o5  9924 


co-sin. 


diCl" 


67.4 

67.4 

67.3 

67.2 

67.2 

67.1 

67.0 

66.9 

66.9 

66.9 

66.7 

66.7 

66.7 

66.6 

66.5 

66.4 

66.4 

66.3 

66.2 

66.2 

66.1 

66.1 

66.0 

65-9 

65.9 

658 

65-7 

65.7 

65.6 

65.5 

65.5 

65.4 
65.3 
65.3 
65.2 
65.2 
65.1 
65.0 
65.0 

64.9 
64.8 

64.8 
64.7 
64-7 
64-5 
64-6 
64-4 
644 
64-3 
64-3 
64-2 
64-1 
64.1 
64-0 
64-0 
63.9 
63.8 
63.8 
63.7 
63.6 


diCl" 


co-8eo. 


10.903 
903 
903 
903 
903 
903 

10.902 
902 
902 
902 
902 
902 

10.901 
901 
901 
901 
901 
901 

10.900 
900 
9<x) 
900 
900 
900 

10.899 
899 
899 
899 
899 
890 

10.898 
898 
898 
898 
898 
898 

10.897 
897 
897 
897 
897 
897 

10.896 
896 
896 
896 
896 
896 

10.895 
895 
895 
895 
895 
895 

10.894 
894 
894 
894 
894 
894 

10.894 


tang. 


9385 
7711 
6037 
4364 
2692 
1020 
9349 
7679 
6010 

4341 
2672 
ioo5 
9338 
7671 
6oo5 
4340 
2676 
1012 

9349 

7687 
6025 
4364 
2703 
1043 
9384 
7725 
6067 
44io 
2753 
1097 
9442 

7787 
6i33 
448o 
2827 
1 175 
9523 
7872 
6222 
4572 
2923 
1275 
9627 
7980 
6333 
4688 
3o42 

r^ 

8111 
6468 
4826 
3i85 
1 544 
9904 
8264 
6625 

4987 
3349 
1712 
0076 


■ec. 


,099  4678 

099  6379 

099  8079 

099  9778 

00  J  477 

00  3 175 

004872 

006569 

008265 

00  9961 

01  i656 
01  335o 
01  5o44 
01  6737 

01  8429 
020121 

02  1812 
02  35o2 
02  5192 
026881 

02  8569 

03  0257 
o3  1945 
o3  363 1 
o3  53i7 

03  7002 
038687 
o4o37i 

04  2o55 
o4  3738 
o4  5420 
o4  7101 

04  8782 

05  0462 
o5  2142 
05  382I 
o5  55oo 
o5  7177 

05  8854 

06  o53 1 
06  2207 

06  3882 

065557 
067231 
068904 

07  0577 
07  2249 
07  392 1 
07  5591 

07  7202 
078931 
080600 

08  2269 
08  3937 
o8  56o4 
087270 
08  8936 
090602 
092266 
093930 
095594 


co-tang. 


dif  1" 


70.1 
70.0 
69.9 
69.9 
69.8 
69.7 

69.7 
69.6 
69.6 
69.5 
69.4 
69.4 
69.3 
69.2 
69.2 
69.1 
69.0 
69.0 
68.9 
68.8 
68.8 
68.8 
68.6 
68.6 
68.5 
68.5 
68.4 
68.4 
68.3 
68.2 
68.1 
68.1 
68.0 
68.0 
67.9 
67.9 
67.7 
67.7 
67.7 
67.6 
67.5 
67.5 

67-4 
67-3 
67-3 
67.2 
67. 2 
67-0 
67.1 
66.9 
66.9 
66.9 
66.8 
66.7 
66.6 
66.6 
66.6 
66.4 
66.4 
66.4 


970 


diCr 


26 


co-tang. 


10.9005322 
9003621 
900  1921 
9000222 
8998523 
899  6825 

10.8995128 
899343 
899  1735 
8990039 

898  8344 
8986650 
10.898  4956 
898  3263 
898  1 571 

897  9879 
8978188 

897  6498 

10.897  48o8 
897  3119 
897  i43i 
896  0743 
896  8o55 
8966369 

10.896  4683 
896  2998 
8961313 
895  9629 
895  7945 
895  6262 

10.895  458o 
895  2899 
895  1218 
894  9538 
894  7858 
8946179 

10.894  45oo 
894  2823 
894  1 1 46 
893  9469 

893  779^ 
8936118 

10.893  4443 
893  2769 
893  1096 
892  9423 
892  775 1 
892  6079 

10.892  4409 
892  2738 
892  1069 
891  9400 
891  773i 
891  6o63 

10.891  4396 
891  2730 
891  1064 
8909398 
890  7734 
8906070 

10.890  4406 


eec. 


tang. 


io.oo34o63 

4089 
4ii6 
4i42 
4169 
4195 

IO.Oo34222 

4248 
4275 
43oi 
4328 
4355 

io.oo3438i 
44o8 
4434 
446i 
4488 
45i4 

10.003454 1 
4568 

4594 
4621 
4648 
4674 

1 0.0034701 
4728 
4755 
4781 
48o8 
4835 

10.0034862 
4888 
4915 
4942 
4969 
4996 

io.oo35o23 
5o49 
5076 
5io3 
5i3o 
5i57 

io.oo35i84 

5211 

5238 
5265 
5292 
53i8 

io.oo35345 
5372 
5399 
5426 
5453 
5480 

io.oo355o7 
5534 
5562 
5589 
56i6 
5643 

10.0035670 


co-«ec. 


d.l" 


2.6 

2.7 

2.6 

2.7 

2.6 

2.7 

2.6 

2.7 

2.6 

2.7 
2.7 

2.6 

2.7 

2.6 

2.7 

2.7 

2.6 

2.7 
2.7 

2.6 

2.7 
2.7 

2.6 

2.7 

2.7 
2.7 

2.6 

2.7 
2.7 
2.7 

2.6 

2.7 

2.7 

2.7 
2.7 
2.7 

2.6 

2.7 
2.7 
2.7 
2.7 
2.7 
2.7 
2.7 
2.7 
2.7 

2.6 

2.7 
2.7 
2.7 
2.7 
2.7 
2.7 
2.7 

2.7 

2.8 

2.7 
2.7 

2-7 

2.7 


d.1' 


co-8in. 


9.9965937 
591 
5884 
5858 
583 1 
58o5 

9.9965778 
5752 
5725 
5699 
5672 
5645 

9.9965619 
5592 
5566 
5539 
55i2 
5486 

9.9965459 
5432 
54o6 
5379 
5352 
5326 

9.9965299 
5272 
5245 
5219 
5192 
5i65 

9.9965138 

5ll2 

5o85 
5o58 
5o3i 
5oo4 

9.9964977 
4951 
4924 
4897 
4870 
4843 

9.9964816 
4789 
4762 
4735 
4708 
4682 

9.9964655 
4628 
4601 
4574 

4547 
4520 

9.9964493 
4466 
4438 
441T 
4384 
4357 

9.9964330 


■m. 


50' 
5o 
40 
3o 
20 
10 
49' 
5o 
4o 
3o 
20 
10 
48' 
5o 
4o 
3o 
20 
10 
47' 
5o 
4o 
3o 
20 
10 
46' 
5o 
4o 
3o 
20 
10 
\45' 
5o 
40 
3o 
20 
10 
44' 
5o 
40 
3o 
20 
10 
43 
5o 
4o 
3o 
20 
10 
42' 
5o 
4o 
3o 
20 
10 
41' 
5o 
4o 
3o 
20 
10 
40' 


/ 


82° 


H 


II 


202 


LOGABITHMIC     SINES,     TANGENTS,     &C. 


If® 


172* 


m 

10 
3€ 

3o 

4o 
5o 

lO 

ao 
3o 
4o 
5o 

i2' 

10 

ao 
3o 
4o 
5o 

lO 

ao 
3o 
4o 

'30 

14' 

10 

ao 

3o 
4o 

las' 

lO 

20 

3o 

4b 

5o 

26 

lO 
30 

3o 
4o 

m' 

lO 

ao 

OKJ 

4o 

lO 

ao 

3o 
4o 

5o 

lO 

ao 
3o 
4o 
5o 
130' 


9.105 
106  I 
io63 


95 


l^fAi  .63:4 


1066463 
1068097 


9.1069739,63; 


diCr 


eo-««e. 


163.6 '**?94  2^76 


1 63.5 

i63.4 


1 63.4 
i63.a 


107  i36i 

107  ao93 
io7  46a3 

107  6a53 
1077883 

9.1079512 

108  ii4o 
108  3766 
108  4393 
1086021 
108  7647 

9^1089373 
1090897 

109  252 1 

IO94144 
1095767 

109  7389 
9.1099010 

iioo63i 

If0  335l 

no  3871 

1 10  5490 
1107108 

9.1108726 

1 1 1  o343 
111  i960 
f  1 1  3576 
III  5i9 

111  6806 

9.111  8420 
iiaoo33 
113  1646 

113  3269 
1134870 
1136481 

9. 112  8092 

1 1 2  9702 
ii3 i3ir 

1 1 3  2920 
1134528 
ii36i35 

9-1137742 
1139348 

1 14  0954 
ii4a559 
ii44i63 

1 14  5767 
9.1 147370 

1148073 
ii5o575 
ii5  2176 
1153777 
1155377 
9.1 156977 


i63.a 
i63.o 
1 63.0 
i63.o 
162.9 
162.8 
162.8 
162.7 
162.6 
162.6 
162.5 
163.5 
163.4 
163.3 
162.3 
162.2 
162.1 
162.1 
162.0 
162.0 
r6 


OCMIItt. 


tang. 


9.10955 


8938440  1097a 

8936606  109  8919 

8935171  iioo58i 

8933537  1102243 

8931903  1103902 
10.8930371  9-110  5563 

8938639  1107331 
893  7007 
893  5377 
893  3747 

893  3117 

10.893  o488  9. II I  55o8 

8918860  1II7J63 

891  7233 

891  56o5 

891  3979 

891  3353 
10.891  °7*®  9**"  543i 

8909103  1137083 

890  7479 

890  5856 

890  4a33 

890  261 1 
10.890  0090  9.1 13  5333 

8899369  1136982 

889  7749 

8896139 


1108879 
1 1 1  o537 

lit  2Io5 

III  3851 


1118818 
1 1 2  0472 

112  2126 
1 1 2  3779 


1 1  a  8734 
ii3o385 
ii3  2o35 
ii3  3684 


diCl" 


16 

16 

16 

16 

16 

ii6 

16 

16 

16 

16 

16 

16 

16 

16 

16 

160-9 

160-9 

160.8 

160-7 

160.7 

160-6 

160.6 

160.5 

160.4 

i6o-4 

160.3 

160.3 

i6o.a 

160.1 

160.1 

160.0 

160.0 


diCl" 


8894510 
889  2892 

10.889  1 274 
8880657 
888  8o4o 
888  6424 
888  4809 
888  3194 

10-888  i58o 
8879967 
8878354 

8876741 
887  5i3o 
8873519 
10.887  190S 
8870296 
8868689 
8867080 
886  547' 
886  3865 

10.886  3358 

886  o652 
885  9046 
885  7441 
885  583? 
885  4233 

I0.885  263o 
885  1027 
884  9425 
884  7824 
884  6223 
•  884  4623 

10.884  3o23 


1138629 
1140270 
114  1922 
1  r4  3568 
9. 1 1452 1 3 

11 4  6858 
ii4  85o2 
ii5oi45 
1161788 
ii5  343o 

9.116  6072 
1166713 

115  8353 
1169993 

116  1 632 
1 16 3271 

9. 1 16  4909 
1166546 
1168183 
1169819 

117  1455 
ii7  3<T90 

9.1174724 
1 17  6358 
117  7991 

1 17  9624 

118  1256 
118  2887 

9.1184518 
1 18  6149 
1187778 

1 18  9407 

119  io36 
1 19  2664 

9.1 194291 


■ee. 


co-tan^. 


co-tang. 


166.3 

i66.a 

i66.a 

166.1 

166.0 

166.0 

165.9 

i65.8 

1 65.8 

i65.8 

165.6 

i65.7 

i65.5 

i65.5 

165.4 

1 65-4 

i65-3 

1 65.3 

i65.3 

i65.i 

i65-! 

i65.o 

164.9 

164.9 

164.9 

164.7 

164.7 

i64-6 

164-6 

164 

1(545 

164.4 

164.3 

i64-3 

i64-2 

i64-2 

164.1 

164.0 

i64o 

163.9 

i63-9 

163-8 

i63-7 

i63-7 

i63.6 

1 63 .6 

i63.5 

163.4 

i63-4 

i63.3 

i63.3 

1 63. 2 

i63.i 

i63-i 

i63.i 

162.9 

162.9 

162.9 

162.8 

162.7 


ditl" 


10.890  44o6 
8903743 
Boo  1081 
8899419 

889  7768 

8896098 

10.889  44^ 

8893779 

889  1 131 

888  9463 

8887805 
8886149 

10.888  4492 
888  2837 
888  1183 
887  9538 
887  7874 
8876331 

10.887  4569 
887  291-' 
8871266 
8869615 
8867965 
88663i6 

10.8864667 
8863oi8 
886  1371 
885  9724 
885  8078 
885643a 

10.8854787 
885  3i42 
885  1498 
8849855 
8848212 
884  6570 

10.884  4928 
884  3287 
884  1647 
8840007 
883  8368 
883  6729 

10. 883  6091 
883  3454 
883  1817 
883oi8i 
882  8545 

882  6910 
10.882  6276 

883  3642 
883  2009 
882  0376 
881  8744 
8817113 

io;88i  5482 
88i  385i 

881  3222 

881  o5o3 
8808 
880  7336 
10.880  57 


■ec. 


d.l" 


DOO  D709 
tang.   I 


10.0035670 

5697 

5724 
6761 

5778 
58o5 
io.oo35833 
566o 
5887 
5914 
6941 
5  ' 
io.oo35 
6023 
6o5o 
6077 
61  o5 
61 32 
10.0036169 
6187 
6214 
6241 
6268 
6296 
io.oo36323 
635 1 
6378 
6406 
6433 
6460 
io.oo36487 
65i5 
6542 
6670 
6697 
6626 
io.oo36652 
6680 
6707 
6735 
6762 
6790 
jo.oo368i7 
6846 
6872. 
6900 
6927 
6955 
10.0036982 
7010 
7o38 
7065 
7093 
7121 
10.0037148 
7176 
7204 
723i 
7269 
7287 
10.00373 14 


oomec. 


2.7 
2.7 
2-7 

2-7 

2.7 

2.8 

2.7 

2.7 

2.7 

3.8 

3-7 

3.7 
3.7 

a.7 
a.8 
2.7 

2.7 
3.8 

3.7 

2.7 
a.7 

3.8 

2.7 

3.8 

3.7 
a.7 
2.8 

3.7 
2-7 

a.8 

2.7 
a.8 

2-7 
2.8 

2-7 

3.8 

2-7 

3-8 

2-7 
2.8 

2-7 

2-8 

2-7 

a-8 

2-7 

3.8 

2-7 
2-8 
2-8 
2-7 
2.8 
2-8 

2-7 
2-8 
2-8 

2.7 

2.8 
2.8 

2.7 


eo-»in. 


9-9964330 
43o3 


V  4322 

4195 
9.9964167 

4i4o 
4ii3 
4086 


4o3i 
9.9964004 

3977 
3960 

%23 

3896 

3868 
9.096384 
38i3 
3786 
3769 
3732 

3704 
9^963677 

3649 
3622 
3595 
3567 
3540 

9.9963513 
3485 
3458 
343o 
34o3 
3375 

9-9963348 
33  20 
3293 
3265 
3238 

3210 

9.9963183 

3i55 
3128 
3ioo 
3073 
3o45 

9.9963018 
2990 
2962 
2935 
2907 
2879 

9-9962862 
a824 


d.l" 


2796 
2769 
2741 
3713 
9.9962686 


4(K 

5o 

43761 4o 

4a49  3o 

ao 

10 

39' 

5o 

4o 

3() 

4069I  ao 

10 

38' 

5o 

4o 

3o 

ao 

10 

H7' 

5o 

40 

3o 

30 

10 

36 

5o 

40 

3o 

ao 

10 

35' 

5ci 

40 

3o 

30 

10 

:m' 

5o 
40 
3o 
20 
10 
33' 
5o 
4o 
3o 
20 
10 

'^2' 

So 
4o 
3o 
ao 
10 
31 
5o 
4o 
3o 

30 
10 

30' 


■in. 


820 


LOGARITHMIC     SINES,     TANGENTS,     &;C. 


203 


70 


172« 


10 

30 

3o 
4o 
5o 


Bin. 


31 

10 
20 
3o 
40 
5o 
32 
10 
20 
3o 
4o 
5o 
33' 
10 
20 
3o 
4o 
5o 
34 
10 
20 
3(> 
4c. 
5u 
35 
10 
20 
3o 
4<> 
5o 
36 
10 
20 
3o 
40 
5o 
137 
10 
20 
3o 
4o 
5o 
3d 
10 
20 
3o 

4<> 
5o 
39 
10 
20 
3o 
40 
5o 
40' 


9.1 166977 
If  5  8676 
116  0174 
116  1772 

1 16  3369 
1164966 
1166362 
1168157 
1169762 

117  1 346 
117  2940 
1 17  4533 

9.1176125 

117  7717 
1 179308 

1 18  0899 
1 18  2489 
1184079 

9.1186667 
118  7266 

1 18  8843 
1190431 

119  2017 
1 193603 

9-1195188 
1 19  6773 
1 19 8357 

1 19  9941 

120  i524 
120  3fo6 

9.1204688 

I30  6269 

1207850 

1 20  943o 

121  1009 
121  2588 

9-121  4167 
121  6744 

I2f  7322 

121  8898 
1220474 

122  2049 
9  122  3624 

122  6198 
122  6772 
122  8345 
[22  9918 

123  1490 

9.I233061 

123  4632 
123  6202 
123  7771 

1 23  9340 

1 24  0909 

9- 1 24  2477 
1 24  4o44 

124  661 1 
134  7177 
1248742 
i25o3o7 
9.126  1872 


did" 


169 

169-8 

169-8 

169-7 

169.7 

169.6 

159.5 

169.6 

169.4 

169 

169.3 

169.2 

169.3 

169-1 

169.1 

169.0 

169.0 

1 58.8 

168.9 

1 58 


co-sec. 


10.884  3o23 
884  1424 
883  9826 
883  8228 
883  6631 
883  5o34 


tang. 


di£l" 


[0.883  3438  9.1204043 


i58.8 

1 58.6 

1 58.6 

i58.5 

168.5 

168.4 

1 58-4 

i58.3 

i58-2 

168.2 

1 58.1 

1 58. 1 

i58-o 

167.9 

167.9 

1 57 

167 

i57-8 

167.6 

1576 

157.5 

157.5 

157.4 

167.4 

167.3 

167-3 

167.2 

1671 

167.1 

167.0 

166.9 

166.9 

166.9 

i56.8 

166.7 

166.7 

166.6 

166.6 

1 56.5 

166.5 


9.1194291    g 
1196918'°^ 

1197644 
1199169 
1 20  0794 
120  2419 


co-fin.   dif.  I" 


883  1843 
883  0248 
►  882  8654 
882  7060 
882  5467 
10.882  3876 

882  2283 

882  0692 
881  9101 
8817611 
88 1  5921 

10.881  4333 
881  2744 
881  ii57 
880  9669 
880  7983 
880  6397 

10.8804812 
8803227 
880  1643 
880  0069 
8798476 
879  6894 

10.8795312 
8793731 
879  2i5o 
879  0670 

8788991 
8787412 

10.878  5833 
878  4266 
878  2678 
878  1 102 
877  9626 
8777961 

10.877  6376 
877  4802 
8773228 
877  i655 
877  0082 
8768610 

10.8766939 
8766368 
876  3798 
876  2229 
8760660 
8769091 

10.8767623 
876  6966 
876  4389 
876  2823 
876  1268 
874  9693 

10.8748128 


■ec. 


120  5666 
1207288 

120  8910 

121  o632 
121  2i53 

9-121  3773 
i2f  5393 
lai  7012 

121  863o 

122  0248 
122  1866 

9.122  3482 
122  6099 

1226714 
122  8339 

122  9944 

123  1 558 

9.123  3l7i 

1234784 
1236396 
123  8007 

123  9618 

124  1229 
9.1242839 

124  4448 
1246067 
1 24  7665 
1249272 
1260879 

9.126  2486 
125409! 
126  6697 
126  73oi 
1268905 
1 26  0609 

9.126  2112 

126  3714 
126  53i6 

1 26  691 7 
1268618 

127  0118 
127  1718 
127  33 1 7 
1274916 
1276613 
1278110 

1 27  9707 
9.128  i3o3 

128  2899 
1284494 
1286088 
1287682 
1289276 

9.1290868 


co-tang. 


7 
162.6 
162.6 
162.6 
162.6 
162.4 
162.3 
162.2 
162.2 
162.2 
162. 1 
162.0 
162-0 
161- 
161. 
161 -8 
161.8 
161-6 
161.7 
161.6 
161-6 
161.5 
i6i-4 
161.3 
161.3 
161.2 
161. r 
161. 1 
161.1 
161.0 
160.9 
1609 
160.8 
160-7 
160.7 
160-7 
160.5 
160.6 
160.4 
160.4 
160.4 
160.3 
160.2 
160.2 
160.1 
160.1 
160.0 
160.0 
169. 
169 
169.8 
169.7 
159.7 
169.6 
169.6 
169.6 
169.4 
169.4 
169.3 


co-tang. 


10.880  6709 


■ec. 


d.1" 


co-sin. 


II 


169.3 


di£l" 


880  4082 
880  2456 
880083 1 
879  9206 
8797681 

10.879  6967 
879  4334 
8792712 
879  1090 
878  9468 
878  7847 

10.878  6227 
878  4607 
878  2988 
878  1370 
877  9762 
8778134 

10.8776618 
8774901 
877  3286 
877  1 67 1 
877  oo56 
876  8442 

10.876  6829 
8766216 
876  36o4 
876  1993 
876  0382 
876  8771 

10.876  7161 
876  5552 
876  3943 
876  2335 
8760738 
8749121 

10.874  7614 
874  5909 
874  43o3 
874  2699 
874  1096 
873  9491 

10.873  7888 
873  6286 
873  4684 
873  3o83 
873  1482 
872  9882 
10.872  8282 
872  6683 
87a  5o85 
872  3487 
872  1890 
872  0293 
10.871  8697 
871  7101 
871  65o6 
8713 


1 0.00373 1 4 


2.8 

2.8 
2.8 

2-7 

2.8 
2.8 
3.8 

a.7 
2.8 
2.8 
2.8 
2-8 
2-8 

2.7 
2-8 
2-8 
2.8 
3.8 
3.8 
2.8 
3.8 
2.8 
2.8 
2.8 


871  33i8 


3il 


871  0736 
10.8709133 


tang. 


7342 
7370 
7398 
7426 

7463 

10.0037481 

7609 

7636 

7564 

7692 

7620 
10.0037648 

7676 

77o3 

773 1 

7769 

7787 
10.0037816 

7843 

7871 

7899 

7927 

7965 
10.00379831  ^  g 

8011  • 

8039  ^"° 

8067 

8096 

8123 
io.oo38i5i 

8179 

8207 

8235 

8263 

8291 
io.oo383i9 

8347 
8376 
84o3 
843 1 
8460 
I0.0038488 
85i6 

8544 

8672 

8600 

8629 
io.oo38657 

8685 

8713 

8742 

8770 

8798 
10.0038826 

8865 

8883 

891 1 

8940 

8968 
10.0038996 


9.9962686 

2668 


co-sec. 


2.8 
2.8 
2.8 
2.8 
2.8 
3.8 
2.8 
3.8 
2.8 
2.8 
2.8 
2.8 
2.8 
2.8 
2.1 

a. 

2.8 
3.8 
3.8 
3.8 
3.9 
3.8 
3.8 
2.8 

3.9 

2.8 
3.8 
3.8 

3.9 

2.8 
2.8 

2.9 

2.8 
2.8 


30' 

5o 
4o 
3o 


263o 
2602 
2676  20 
2647  to 

9-996361929' 
2491  5o 
2464  4o 
a436  3o 
a4o8  20 
238o  10 

9-9962352  28' 
2324  5o 
2297  4o 
2269  3o 
2241  20 

22l3  10 

9.996218527' 


d.1" 


2167 
2129 
2101 
2073 
ao46 
9.9963017 
1989 
1961 
1933 
1906 

1877 
9.9961849 
182 
1793 
1766 
1737 
1709 
9.9961681 
i653 
1626 
1697 
1669 

1640 
9.9961612 

i484 
i456 
1428 
i4oo 
l37f 
9.9961343 
i3i6 
1287 
1258 

I23o 

1202 

9.9961 174 

1145 

1117 

1089 

1060 

io32 

9.9961004 


■Ul. 


60 

4o 

3o 

20 

10 

26' 

60 

4o 

3o 

20 

10 

25' 

60 

40 

3o 

20 

10 

24' 

5o 

4o 

3o 

20 

10 

23' 

5o 

4o 

3o 

20 

10 

22' 

5o 

4o 

3o 

20 

10 

21' 

5o 

4o 

3o 

20 

10 

20' 


970 


82» 


204 


LOGARITHMIC     S  I  N  t  S  ,     TANGENTS,     &C. 


T» 


172° 


stn* 


140' 

10 

ao 

3o 
4o 
5o 

41' 9 

lO 

20 

3o 

5o 

42' 9. 
10 
ao 
3o 
4o 
5a 

43'  9, 
to 
ao 
3o 
4o 
5o 

44'  9. 
10 
ao 
3o 
4o 
5o 

45' 9. 
10  ' 
20 
3o 
40 
5o 
46' 5 
10 
ao 
3o 
4o 
5o 
M7'5 
10 
ao 
3o 
4o 
5o 
48' s 
10 
20 
3o 
4o 
5o 


10 
ao 
3o 
4o 
5o 
160' 


9- 


laS  187a 
I  aS  3436 

12S4999 

125  6562 

1258124 
1259685 

1 26  1 246 
1 26  3807 
1 26  4367 
1 26  5926 
1 26  7485 

1 26  9043 
1.1270600 

1 27  2 1 57 
1273714 
1 27  5269 
1276825 

1 27  838o 

1.1279934 
ia8  1487 

1 28  3o4o 
1284593 
1286145 
1287696 

.1289247 

1 29  0797 
1292347 
1293896 

1 29  5444 
1296992 

.1298539 
i3ooo86 
i3o  i633 
i3o3i78 
i3o4723 

1 30  6268 
.1307813 
1 3o  9355 
i3i  0898 
i3f  2441 
i3i  3083 
i3i  5524 
i3i  7064 
i3i86o5 
i32oi44 
i32  i683 

l32  3222 

1 32  4759 
1 32  6297 
1327834 

1 32  9870 
1330906 

1 33  244 1 
i33  3975 
i33  5509 
1337043 

133  8576 

1 34  0108 
i34  1640 
i34  3171 
1 34  4702 


did" 


eiNiin. 


I  !)d«4 
i56.3 
1 56.3 
i56.2 
r  56. 1 
1 56. 1 
i56.i 
i56.o 
155.9 

1 55.0 
1 55.8 
f55.7 
1 55.7 

1 55.7 

1 55.5 

1 55.6 
1 55.5 
155.4 

1 55.3 
§55.3 
i55.2 
i55.i 

1 55. 1 
1 55,0 

1 55.0 
154.9 
1 54-8 
154.8 

154-7 
154.7 

154-7 
i54.5 

1 54.5 
i54.5 

1 54.4 
1 54.3 
1 54.3 
1 54-3 

1 54.2 

1 54. 1 
i54-o 

1 54- 1 
1 53.9 
1 53.9 
1 53.9 
§53.7 

1 53.8 
§53.7 

1 53.6 
1 53.6 
i53.5 
i53.4 
i53.4 
i53.4 
i53.3 

1 53.2 
i53.2 
1 53. 1 
1 53. 1 


CO-0OC. 


di£  1" 


10.8748128 

874  6564 
8745001 
874  3438 
874  1876 
87403 1 5 

10.8738754 
873  7193 
873  5633 
873  4"74 
873  25i5 
873  0957 

10.87a  9400 
872  7843 
872  6286 
8724731 
8723175 
872  1620 

10.872  0066 
8718513 
871  6960 
871  5407 
871  3855 
871  23o4 

10.871  0753 
870  9303 
870  7653 
8706104 
870  4556 
870  3oo8 

10,870  1461 
8699914 
8698367 
8696822 

8695277 
869  3732 

10.869  a  1 88 
8691)645 
868  9102 
868  7559 
8686017 
8684476 

1 0.868  3936 
86813 
867  9856 
8678317 
867  6778 
867  524 1 

10.8673703 
867  2166 
8670630 
8669094 
8667559 
8666035 

10.866  4491 
866  2957 
8661424 
8659892 
865  8,36o 
865  6829 

I0.865  5298 


taiif. 


9. 


.1290868 

1 29  2460 

1 29  4o52 
1 29  5643 
1297233 
1298823 
.i3oo4i3 

130  2002 

1 303590 
i3o5i78 
1306765 
i3o835i 
1309937 
i3i  1523 
i3i  3io8 
i3i  4693 
i3i  6276 
i3i  7859 

1 3 1  9442 
i32  1024 
i32  2605 
i324f86 

1 32  5767 

1 32  7347 
i32  8926 
i33o5o5 

1 33  3o83 
133  366 
i33  5238 
i33  68i5 

133  8301 
1339966 
i34  i54i 
i34  3n5 
1344689 
1346263 

.134  7835 

1 34  9408 
1350979 

1 35  255o 
1 3541 21 
i35  5691 

.i35  7260 
1358829 

1 36  0397 
1 36  1965 
136  3533 
1 36  5099 
1366665 

1 36  823 1 
1369796 

1 37  i36i 
i37  3925 

137  4488 
1 376051 
1377614 
1379175 
1380737 

1 38  2297 
138  3858 
i38  54i7 


diCl" 


■AC. 


co-tang. 


159.2 

159.2 

159.1 

159.0 

159.0 

159.0 

158.9 

i58.8 

1 58^ 

1 58.7 

158.6 

1 58.6 

1 58.6 

158.5 

158-4 

1 58-4 

1 58-3 

158.3 

1 58.2 

i58.i 

i58.i 

1 58-1 

i58.o 

157.9 

157.0 

157.8 

157.8 

157.7 

157.7 

157.6 

157.5 

r57.5 

r57.4 

157.4 

157.4 

i57-2 

157.3 

157.1 

1571 

157.1 

1570 

1 56.9 

156-9 

1 56.8 

1 56-8 

1 56.8 

i56.6 

r56.6 

i56.6 

1 56.5 

i56.5 

1 56-4 

i56.3 

i56.3 

i56.3 

i56.i 

1 56.2 

i56.o 

i56.i 

155.9 


00-uuig. 


10.8709132 

870  7540 
870  5o48 
870  4357 
870  2767 
870  1177 

10.8699587 
8697998 
8696410 
869  4822 
869  3235 
869  1649 

io.8f>9  oo()3 
868  8477 
868  6892 
868  53o8 
8(>8  3724 
8682141 

10.868  o558 
867  8976 
867  7395 
8675814 
867  4233 
867  2653 

10.867  »074 
866  9495 

8667917 
8666339 
866  4763 
866  3i85 

10.866  1609 
8660034 
865  8459 
865  6885 
865  5311 
865  3737 

fo.865  2 1 65 
865  0592 
8649021 
864  745o 
864  5879 
864  4309 

10.864  2740 
864  1171 
8639603 
863  8o35 
863  6467 
863  4901 

I0.863  3335 
863  1769 
863  0204 
862  8639 
862  7075 
8625513 

10.862  3949 
862  2386 
862  0825 
861  9263 
861  77o3 
861  6142 

io.86i  4583 


■ec 


10.0038996 
9025 
9o53 
9081 
9110 
91 38 

10.0039166 

9'95 

9223 

9253 

9280 

9309 

10.0039337 

936() 

9394 
9423 
9451 
9480 
10.0039508 

9537 
9565 
9594 
9622 
9651 
io.oo39(>79 
9708 

9737 

9765 

9794 
9823 

10.0039851 
9880 
9909 

99^7 
9966 

10.0039995 

io.oo4oo23 

oo52 

0081 


d.l"i   00-stn. 


11 

2.8 

11 

2.8 


1.8 

:i 
1 


1 


dit  1" 


tan». 


co-sec. 


2 
2 

a. 

2 

2 

a 

2.9 

2-8 

2. 

2 

2.9 

2.8 

2.9 

2.8 

2.9 

2.8 

2. 

2 

2.9 

2.9 

2.8 

2.9 

2. 

2. 

2.9 

2. 

2 

a. 9 

2. 

2 

2.9 

2. 

a 

a.9 

2.9 

2.9 

2.0 

2.8 

2.9 

2.9 

2.9 

2.9 

2 

2 

2.9 

2.9 

2.9 

2.9 

2.9 

29 

2-9 
2.9 

2.9 


9.9961004 


:i 


0975 

0947 
0919 

0890 

0863 

9.9960834 

o8o5 
0777 
0748 
0720 
0691 
9.9960663 
o634 
0606 
o577 

0549 
o52o 

9.9960493 
<;463 
0435 
o4o6 
0378 
0349 

9.9960331 
0293 
0263 
0235 

02(»6 

0177 
9.9960149 
0120 
0091 
oo63 
oo34 
9.9960005 

9.9959977 

9948 

99'9 
9891 

9863 

9833 

9.9959804 
9775 
9747 
9718 
9689 
9660 

9.995963 
9603 
9574 
9545 
9516 
9487 

9.9959458 
9429 
9400 
9371 
9343 
2  93 1 3 
■99.9959284 


1.8 


\1 


d.l"i 


■in. 


20 

5o 

4o 

3o 

20 

10 

W 

5o 

4o 

3o 

ao 

10 

18 

5f 

4o 

3o 

20 

10 

17' 

5o 

40 

3o 

20 

10 

16' 

5o 

4o 

3c^ 

20 

10 

15' 

5o 

40 

3o 

20 

10 

14 

5o 

4o 

3o 

30 

10 

13' 

5o 

4o 

3o 

20 

10 

12 

5o 

4o 

3o 

20 

10 

11 

5o 

4o 

3o 

20 

10 

10' 


fT« 


820 


LOGARITHMIC     SINES,     TANGENTS,     &>C. 


205 


fo 


172° 


■in. 


50' 

10 

ao 

3o 

40 

5o 

51' 

10 

20 

3o 

40 

5o 

52 

10 

20 

3o 

40 

5o 

53' 

10 

20 

3o 

40 

5o 

54' 

10 

20 

3o 

4o 

5o 

60 

10 

20 

3o 

4o 

5o 

56 

10 

20 

3o 

4o 

5o 

57' 

10 

20 

3o 

4o 

5o 

58' 

10 

20 

3o 

4o 

5o 

.59' 

10 

30 

3o 

4o 

5o 

60' 


dif.l" 


34  4702 
346232 
34  7762 

34  9291 
350819 

35  2347 
35  3875 
35  5402 
35  6928 
35  8454 

35  9979 

36  i5o4 
36  3028 
36  4551 
366074 

36  7597 
369119 

37  o64o 
37  2161 
373682 

37  5201 

376721 

37  8239 

37  9757 
381275 

38  2792 
38  4309 
38  5825 
38  7340 

38  8855 

39  0370 
39  i883 
39  3397 
394910 
396422 

39  7934 
399445 

40  0955 
4o  2465 
4o  3975 
40  5484 

40  6993 
4o85oi 
4i  0008 
4i  i5i5 
4i  3o2i 
4i  4527 
4i  6o32 

41  7537 
4i  9041 

42  o545 
42  2048 
42  355 1 
42  5o53 
42  6555 
42  8o56 

42  9556 

43  io56 
43  2556 
43  4o55 
43  5553 


co-ain. 


co-sec. 


53.0 
53.0 
52 
52 

52.8 

52.8 

52.7 

52.6 

52.61 

52.5 

52.5 

52.4 

52.3 

52.3 

5a.3 

52.2 

5a. I 

52.1 

52.1 
51.9 
52.0 
5i.8 
5i.8 
5i.8 
51.7 
51.7 
5i.6 
5i.5 
5i.5 
5i.5 
5i.3 
51.4 
5i.3 

5l.2 
5l.2 

5i.i 
5i.o 
5 1.0 
5i.o 
1*50.9 
50.9 
5o.8 
50.7 
50.7 
5o.6 
5o.6 
5o.5 
5o.5 
5o.4 
5o.4 
5o.3 
5o.3 
5o.2 
5o.2 
5o.i 
5o.o 
5o.o 
5o.o 
49.9 
49.8 


I0.865 
865 
865 
865 
864 
864 

10.864 
864 
864 
864 
864 
863 

1 0.863 
863 
863 
863 
863 
862 

10.86a 
862 
862 
862 
862 
862 

io.86r 
861 
861 
861 
861 
861 

10.860 
860 
860 
860 
860 
860 

10.860 
859 
859 
859 
859 
859 

10.859 
858 
858 
858 
858 
858 

10.858 
858 
857 
857 
857 
857 

10.857 
857 
857 
856 
856 
856 

10.856 


5298 
3768 

2238 


tang. 


dif  1" 


dif.r 


0709 
9181 
7653 
6125 
4598 
3072 
i546 
0021 
8496 
6972 

5449 
3926 
24o3 
0881 
9360 
7839 
63i8 

4799 
3279 
1761 
0243 
8725 
7208 
5691 

4175 
2660 
1145 
9630 
8117 
66o3 
5090 
3578 
2066 
o555 
9045 
7535 
6025 
45i6 
3oo7 

1499 
9992 

8485 
6979 
5473 
3968 
2463 
0959 
9455 
7952 

6449 
4947 
3445 
1944 
0444 
8944 
7444 
5945 
4447 


■ec. 


38  5417 
38  6976 

38  8535 

39  0093 
39  i65i 
39  3208 
39  4764 
396330 
39  7875 

39  943o 
4ooo85 

40  2538 
4o  4092 

40  5644 
407196 
408748 
4i  0299 
4i  i85o 
4i  3400 

4 1  4949 
4i  6498 
4 1  8047 

41  9595 

42  1 142 
42  2689 
42  4235 
425781 

42  7326 
428871 
43o4i5 

43  1959 
43  35o3 
43  5o45 

43  6587 
438138 
439669 

44  1210 
44  2750 
44  4289 
44  5828 

44  7367 
448904 

45  0442 
45  1979 
45  35i5 
45  5o5i 
45  6586 
458121 

45  9655 

46  1 189 
46  2722 
46  4255 
46  5787 
467318 

46  885o 
47o38o 

47  19^0 
47  3440 
474969 

47  6497 
478025 


co-tang. 


sec. 


d.l' 


155.9 
155.0 
155.8 
155.8 

155.7 
i55.6 
i55.6 
i'j5.5 
i55.5 
i55.5 
i55.3 

1 55.4 
i55.2 
1 55.2 
i55.2 
i55.i 
i55.i 
i55.o 

154.9 
r54.9 
154-9 
i54.8 

154.7 
154-7 
1 54.6 
i54.6 

1 54.5 
1 54-5 
1544 
154.4 
154-3 
154-3 
1 54-2 
154.1 
i54-i 
i54i 
1 54-0 
153.9 
153.9 
153.9 
153.7 
i53.8 
i53.7 

1 53.6 
1 53.6 
i'53.5 
i53.5 
153.4 
i53.4 
153.3 
i53.3 
i53.2 
i53.i 
1 53. 2 
1 53.0 
1 53.0 
1 53.0 

l52. 
l52. 

i52.8 


10.861  4583 
861  3o24 
861  i465 
8609907 
860  8349 
86067 

10.860  5236 
86o368o 

860  2125 

860  o57d 
8599015 
859  7462 

10.859  ^ 
8594556 
859  2804 
850  1252 
858  9701 
858  8i5o 

10.858  6600 
858  5o5i 
858  35o2 
858  1953 
858  o4o5 
857  8858 

10.8577311 
857  5765 
8574219 
857  2674 
857  1 1 2' 
856  958 

io.856  8o4 
856  64 


co-tang. 


856  49* 
856  34 1 3 
856  1872 
856  o33 

I0.855  8790 
8557250 
8555711 
8554172 
855  2633 
8551096 

10.854  9558 
854  8021 
854  6485 
854  4949 
854  34i4 
854  1879 

10.854  o345 
853  881 1 
853  7278 
853  5745 
853  4213 
853  268a 

10.853  II 5o 
852  9620 
8528090 
852  6560 
852  5o3i 
852  35o3 

I0.852  1975 


diGl' 


10.0040716 
0744 
0773 
0802 
o83i 
0860 

10.0040889 
0919 
0948 

0977 
1006 

io35 

10.004 1064 
1093 
1122 
ii5i 
1180 
1209 

io.oo4i 239 
1268 
1297 
i326 
i355 
1 384 

io.oo4i4i4 
1443 
1472 
i5oi 
i53i 
i56o 

10.004 1 589 
1618 
1648 

1677 
1706 
1736 
10.0041765 
1794 
1824 
i853 
i883 
1912 

10.0041941 
1971 
2000 
2o3o 
2059 

2088 

10.00421 18 

2147 

2177 

2206 

2236 

2265 
10.0042295 

2324 

2354 
2384 
24i3 
2443 
10.0042472 


co-sin. 


2.8 
2.9 
2.9 
2.9 
2.9 

^•9 
3.0 

2.9 

2.9 

2.9 

2.9 

2 

2.9 

2.9 

2.9 

2.9 

^•9 
3.0 

2.9 

2.9 

2.9 

2.9 

29 

3.0 

2.9 

2.9 

^■9 
3.0 

2.9 

2.9 

3.0 
2.9 

3.0 
2-9 
2.9 
3-0 

^•9 
3o 

2.9 

^•9 
3.0 

2.9 

3.0 

2.9 

3.0 

3.0 
2.9 
3.0 
29 
3.0 


9.9959284 
9256 
9227 
9198 
9169 
9140 

9.99591 1 1 
9081 
9052 

?023 
994 

8965 
9I9.9958936 
890- 
8878 
8849 
8820 

879' 

9.9958761 
8732 
8703 
8674 

8645 

8616 

9-9958586 

8557 
8528 

8499 
8469 

844o 
9.99584 1 1 
8383 
8352 
8323 
8294 
8264 
9.9958235 
8206 
8176 

8147 
8117 
8088 

9.9958059 
8029 
8oot 
7970 
7941 
7913 

9.9957883 
7853 


tang. 


co^ec. 


7823 

7794 
7764 

7735 

2.9  9-9957705 

3  o         7676 
^•°    7646 
7616 

7587 

2  Q      7557 
^9.9957528 


3.0 
29 
3.0 


10' 

5o 

4o 

3o 

20 

10 

9' 

5o 

4o 

3o 

20 

10 

8' 

5o 

40 

3o 

20 

10 

7' 

5o 

40 

3o 

JO 

10 

6' 

5o 

4o 

3o 

20 

10 

5' 

5o 

40 

3o 

20 

10 

4' 

5o 

4o 

3o 

20 

10 

3' 

5o 

40 

3o 

20 

10 

2' 

5o 

40 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 

0' 


d.l' 


sin. 


970 


82° 


wm 


LOGABITHMIC     SINES,   TANGENTS,    &C. 


■11. 


MtV 


9.143  5553 
143  705 1 
I43B548 

i44'oo45 

i44  i54i 

i44  3o37 

91444532 

1446027 

1447521 
144901 5 '^9-4 

i45o5o8'j9-^ 

145  2TO1  *l9-> 

91453493  •'^9-^ 
i45  4985 
1456476 

1 45  7966 
i45  9456 
1460946 

91462435 

1 46  3923 
i46  54ii 
1466800 

146  838 
1469872 

9.147  1 358 

147  28431  ;^2'? 

i47  43a8'1°-^ 
i47  58i2 

147  72^ 
147  8779 

9.1480262 

i48  1744 

i48  3226 

1484707 

1486188 

1487668 
9  1 48  9148 

1490627 

149  2106 

149  3584 

l^5o6i 

1496539 
9^1498015 

1499491 

1500967 

1 502442 

1 503916 

i5o  5I90 
a'l9.i5o6864 
—    i5o8337 

1509809 

i5i  1281 

i5i  2753 

i5i  4224 
9.i5i  5694 

i5i  7164 

i5i  8634 

1 5a  oio3 

i52  1 571 

i52  3o39 
l0'J9.i52  45o7 


71 


10 

ao 

3o 

4o 

5o 

W 

10 

:io 

3o 

40 

5o 


co-tin* 


1 49.8 
149.7 

149-7 

149.6 
149.6 
1 49.5 
149.5 
1 49-4 
149.4 


149.2 
1 49- 1 

149.0 
1490 
149.0 
1489 
148.8 
!48.8 
148.8 
148.7 
148.6 
1 48.6 
148.5 


148.4 

148.4 

148.3 

148.3 

1 48. 2 

148.2 

i48.i 

148.1 

i48.o 

t48.o 

147-9 

147.9 

i47.8 

147.7 

147.8 

147.6 

147.6 

147.6 

1 47-5 

147-4 

147.4 

147.4 

1 47-3 

147.2 

147-2 

r47.a 

147-1 
i47  o 
i47-o 
147-0 
146.9 
146.8 
i46  8 
146.8 


«. 


I0.856  4447 
856  2949 
856  1452 
855  9955 
855  8459 
855  6963 

10.85554689 
855  3973 
855  2470 
8550985 
854  9492 

854  7999 

io.85465o7 
854  5oi5 
854  3524 
854  ao34 
854  o544 
853  9<i54 

I0.853  7565 
853  6077 
853  4589 
853  3 1 01 
853  j6i4 
853  0128 

io.85a  8642 
8527157 
852  5672 
85a  4188 
852  2704 
85a  laai 

I0.85I  9738 
85i  8256 
85 1  6774 
85 1  5293 
85r  38ia 
85 1  2332 


iliCl" 


9.1478025 
1479553 
1 48  1080 
1 48  2606 
i48  4i32 

148  5658 
148718a 
1488707 
1490231 
1491754 

149  3277 

1494799 
9.149  6321 

1497842 

1499353 

i5oo884 

1 50  a4o3 
1 503923 

9.j5o544i 
1506960 
1 5o  8477 
1509095 
i5i  i5ii 
i5i  3oa8 

9. 1 5r  4543 
i5i  6o58 
i5i  7573 
i5i  9087 
i53n6oi 
i5a  aii4 

9. 1 5a  36a7 
i5a  5i39 
1 5a  665 
i5a8i6a 
1529672 
i53ii83 


eo-tmnf. 


rtitl" 


I0.85I  08529.153  2692 
8509373I  1534201 
8507894  1 53  5710 
85o64i6  1537218 
8504939  1538726 
85o346i  1 540233 

10.85019859.1541739 
85oo5oQ  154  3246 
849  9033 
8497558 
8496084 
8494610 


154475 1 
1546256 
1547761 
1 54  9265 
10.849  3i36  9.155  0769 


849  i663 
8490191 

8488719 

848  7^47 
848  5776 
10.848  43o6 
848  2836 
848i366 

8479897 
847  8429 

8476961 

10.847  5493 


WCw 


i55  2272 

1553774 
1555276 
1556778 
1558279 

9-1559780 
i56  1280 
1562780 
1554279 
156  5777 
1567275 

9.1568773 


w>4aiig> 


i5a.7 
i52.6 
1 52 .6 
1 52.6 
1 5a. 4 
i5a.5 
1 52 .4 
i5a.3 
1 5a. 3 
i5a.2 

l52.2 

i5a.i 
i5a.i 

1 52. 1 

1 51.9 

i5a.o 

i5i.8 

i5i.9 

i5i.7 

i5i.8 

i5i.6 

i5i.7 

i5i.5 

i5i.5 

i5i.5 

i5i.4 

i5i.4 

i5i.3 

i5i.3 

l5l.2 
l5l.2 

i5i.i 

f5i.o 

i5i.i 

1 50.9 

150.9 

1 50.9 

i5o.8 

i5o.8 

i5o,7 

i5o.6 

i5o.7 

i5o.5 

i5o.5 

i5o.5 

1 50.4 

1 50.41 

i5o.3 

l5o.2 

i5o.a 
i5o.a 
i5o.i 
i5o.i 
i5o.o 
i5o.o 
149.9 
149.8 
149.8 
149.8 


ITlo 


152.8  '^^fSa  1975 

852  o447 
85 1  8020 
85 1  7^94 
85i5868 
85 1  434a 

io.85i  2818 
85 1  i2o3 
85oo' 
85082 
85o  6723 
85o  5201 

io.85o3679 
85o  2 1 58 
85oo637 
8499116 
849  7597 
849  6077 

10.8494559 
849  3o4o 
8491523 
8490005 
848  8489 
848  6972 

10.848  545- 
848  3942 
848  2427 
848  001 3 
847  9  599 


10.0042472 

25oa 
a53i 
256i 
2591 
2620 

io.oo4a65o 
2680 
2709 
2739 
2760 
2798 

10.0042828 
2858 
2888 
2917 

2947 

2977 

1 0.0043007 
3o36 
3o66 
3096 
3ia6 
3i56 

io.oo43i85 
32 1 5 
3245 
3275 
33o5 


d.l" 


3.0 
a. 9 
3.0 

3.0 


847  7886  3335 
10.8476373  10,0043355 
847  486i  3395 
847  3349  3424 
847 1838  3454 
847  o328  3484 
8468817  35i4 
10.846  73o8  10.0043544 
846  5799  3574 
8454290  35o4 
846  2782  3634 
846  1 274 


dif.l« 


845  9767 

10.845826 
8456754 
845  5249 
845  3744 
845  2239 
845  0735 

10.8449231 
844  7728 
844  6a  36 
844  4724 
844  3222 
844  172 1 

10.844  0220 
843  8720 
843  7220 
843  57a  I 
8434aa3 
843  2725 

10.843  1227 

tMf. 


3664 
3694 

10.0043724 
3754 
3784 
38i4 
3844 
3875 

io.oo436o5 
3935 
3965 
3995 
4o25 
4o55 

io.oo44o85 
4ii6 
4i46 
4176 
4206 
4235 

10.0044266 


eo-t#ic. 


a.9 
3.0 
3.0 
a.9 
3.0 
3.0 
2.9 
3.0 
3.0 
3.0 

3.0 
3.0 
3.0 

3.0 

3.0 

3.0 

3.0 

2.9 

3.0 

3.0 

3.0 

3.0 

3.0 

3.0 

3.0 

a.9 

3.0 

3.0 

3.0 

3.0 

3.0 

3.0 

3.0 

T.O 

3.0 

3.0 

3.0 

3.0 

3.0 

3.0 

3.1 

3.0 

3.0 

3.0 

3.0 

3.0 

3.0 

3o 

3.1 

3.0 

3.0 

3.0 

3.0 

3.0 


co-«in. 


9-9957528 

7498 
7469 
7439 
7409 

738o 

9.9957350 
7320 
7201 
7261 
723i 
7202 

9.9957172 
7142 
7112 
7083 
7053 
7023 

9.9956993 
6964 
6934 
6904 
6874 
6844 

9.9956815 
6785 
6755 
6725 


60' 


5o 
40 
3o 
20 
10 
59' 
5o 
40 
3o 
20 
10 
58' 
5o 
4o 
3o 
ao 
10 
57' 
5o 
4o 
3o 
ao 


>5 

35 

9-9956635 
66o5 


10 
56 

5o 
4o 
3o 
ao 
10 
o.'> 
5o 
4o 
3ol 


5576 
6546 
65i6  20 
6485  10 

9-9955455 .54' 
6426  5o 
5396  4o 
5365  3o 
6336  20 
63o5  10 

9.9956276  53' 
6245  5o 
6216  4o 
6186  3o 
61 56  20 
6125  10 

9.9956095 .52 
5o55  5o 
6o35  4o 
6oo5  3o 
5975  20 
5945  10 

9.9955915  51' 
5884  5o 
5854  4c^ 
5824  3o 
5794  20 
5764  10 

9.9955734  50' 


d.l" 


•in. 


teo 


8V 


LOGARITHMIC     SINES,     TANGENTS,     <k  C . 


207 


80 


171° 


10' 
10 
20 
3o 
4o 
5o 
U' 
10 
20 
3o 
4o 
5o 
12 
10 
ao 
3o 
40 
5o 
13' 
10 
ao 
3o 
40 
5o 
14 
10 

20 

3o 

40 

5o 
15 
10 
ao 
3o 
4o 
5o 
16 
10 
ao 
3o 
4o 
5o 
17' 
10 
ao 
3o 
4o 
5o 
18 
10 
20 
3o 
4o 
5o 
19 
10 
20 
3o 
4o 
5o 
20' 


■in. 


52  4507 
52  5974 

52  744o 
528906 
530371 

53  1 836 
53  33oi 
534764 
53  6228 

53  7691 
539153 

54  061 5 
542076 
54  3537 
544998 
54  5457 
547917 

54  9i76 
55o834 

55  2292 

55  3749 
555206 
55  6653 
558118 

55  9574 

56  1020 
56  2483 
56  3o37 

55  5390 

56  6843 
568296 

56  9748 

571199 

57  2650 

574100 
57  555o 
577000 

57  8449 
579897 

58  1 345 
58  2792 
58  4a39 
58  5586 
587132 

58  8577 
590022 

59  1467 
59  2911 
594354 
59  5797 

59  7240 
598682 
600124 

60  i565 
6o3oo5 
604445 

60  5885 
607324 
608753 

61  0201 
6i  1639 

co-sin. 


di£l" 


46.7 
45.6 
46.6 
46.5 
46.5 
46.5 
46.3 
46.4 
46.3 
46.2 
46.2 
46.1 
46.1 
46.1 
45.9 
46.0 
45.9 
45.8 
45.8 
45.7 
45.7 
45.7 
45.5 
45.6 
45.5 
45.4 
45.4 
45.3 
45.3 
45.3 
45.2 
45.1 
45.1 
45.0 
45.0 
45.0 

44.9 
44.8 
44.8] 
44.7 
44.7 
44.7 
44.6 
44-5 
44.5 
44-5 
44.4 
44-3 
44.3 
44-3 
44-2 
44.a 
44.1 
44.0 
44.0 
44.0 
43.9 
43.9 
43.8 
43.8 

dini' 


co-flec. 


10.847  5493 
847  4026 
847  256o 

847  1094 
846  9629 

8468164 

10.84566c 
846  5236 
846  3772 
846  23o9 
846  0847 
845  9385 

10.845  7924 
845  5463 
845  5oo2 
845  3543 
845  2o83 
845  0624 

10.8449166 
844  7708 
8446251 
844  4794 
8443337 
844  1882 

10.844  0426 
843  8971 
843  7517 
843  6o63 
8434610 
843  3 1 57 

10.843  1 704  9. 
843  0252 
842  8801 
842  7350 
842  5900 
842  445o 

1 0.842  3ooo  9. 
842  i55i 
842  oio3 
84i  8655 
84 1  7208 
84i  5761 

10.84 1  43x4 
84 1  2868 
84i  i423 
84o  9978 
84o8533 
840  7089 

10.840  5645 
840  42o3 
840  2750 
84o  i3i8 
839  9876 
8398435 

10.8396995 
839  5555 
83941 1 5 
839  2676 
839  1 237 
838  9799 

I0.838  836i 


tang. 


■ec 


558773 
57  0270 

57  1767 
57  3263 

57  4759 
57  6254 
57  7748 

57  9243 

58  0735 
58  223o 
58  3722 

58  5214 
1686706 

588197 
589688 

59  1178 
592668 
594157 
59  5545 
597134 
598622 
600110 
5o  i5o5 
6o3o83 
604569 
606054 
607539 
609023 
61  o5o7 
61  1990 
61  3473 
61  4955 
61  6438 

61  7919 
5i  9400 
620881 

62  235i 
62  384o 
62  5319 
626798 
62  8276 

62  9754 
53  i23i 
53  2707 

53  4i83 

63  5559 
537134 
538609 
64oo83 

54  1 557 
54  3o3o 
5445o3 
545975 

64  7447 
648919 

65  0390 
65i85o 
65  333o 

65  4799 
556268 

65  7737 

c»4ang. 


difil" 


149-7 
•49-7 
149-6 
149-6 
149.5 

1 49-4 
i49-5 
i49-3 
1 49-4 
149-2 
1 49- 2 
149.2 
149.1 
149.1 
i49-o 
1490 
148.9 
.48.0 
148.8 
148.8 
148.8 
148.6 

148.7 
148.5 
148.5 
148.5 
148.4 
148.4 
148.3 
148.3 
148.3 
148.2 
148.1 
148.1 
148.1 
148.0 
147.9 

147.9 
147-9 
147.8 
147.8 

147-7 
147-6 

147-6 
147-6 
147-5 
147-5 
147.4 
147-4 
147-3 
147.3 
147-2 
147.2 
i47-2 
1 47-1 

1470 

i47-o 

146.9 

146.9 
146.9 

did 


co-tang. 


10.843  1227 
842  9730 

842  8233 
842  6737 
842  5241 
842  3746 

[o.84a  2252 
842  0757 
84 1  9254 
841  7770 
841  6278 
84 1  4786 

10.841  3294 
841  i8o3 
84i  o3i2 
8408822 
84o  7332 
840  5843 

10.840  4354 
84o  2866 
84o  1378 
839  9890 
839  84o4 
8396917 

10.839  543  r 
839  3946 
839  2461 
839  ^^77 
838  9493 
838  8010 

I0.838  5527 
838  5o44 
838  3562 
838  2081 
838o5oo 
8379119 

10.837  7639 
8376160 
837  4681 
837  3202 
837  1724 
837  0246 

I0.836  8769 
836  7293 
836  5817 
8354341 
836  2866 
835  1391 

10.8359917 
835  8443 
835  6970 
835  5497 
835  4o25 
835  2553 

I0.835  1081 
834  9610 
834  8i4o 
834  6670 
834  5201 
834  3732 

I0.834  2263 

tang. 


sec. 


10.0044266 
4297 
4327 
4357 
4387 
4418 

10.0044448 
4478 
4509 
4539 
4569 
4599 

io.oo4463o 
4t.6o 
4691 
4721 
475i 
4782 

io.oo448i2 
4842 
4873 
4903 
4934 
4964 

10.0044995 
5o25 
5o56 
5o86 
5ii7 

5i47 

10.0045178 
5208 
5239 
5269 
53oo 
533o 

10.004  536 1 
5392 
5422 
5453 
5483 
55i4 

10.0045545 
5575 
55o5 
5537 
5667 
5698 

10.0045729 
5760 
5790 
5821 
5852 
5883 

10.0045913 
5944 
5975 
6oo5 
6o37 
6067 

10.0046098 

co-aec. 


d.l' 


co-«in. 


3.1 

3.0 

3.0 

3.0 

3.1 

3.0 

3.0 

3.1 

3.0 

3.0 

3.0 

3.1 

3.0 

3 

3.0 

3.0 

3.1 

3.0 

3.0 

3.1 

3.0 

3 

3.0 

3 

3.0 

3.1 

3.0 

3.1 

3.0 

3.1 

3.0 

3.1 

3.0 

3.1 

3.0 

3.1 

3.1 

3.0 

3.1 

3.0 

3.1 

3.1 

3.0 

3.1 

3.1 

3.0 

3.1 

3.1 

3.1 

3.0 

3.1 

3.1 

3.1 

3.0 

3.1 

3.1 

3.1 

3.1 

3.0 

3.1 

d.1" 


50' 

5o 
4o 
3o 
ao 
10 
49' 
5o 
40 
3o 
20 
10 
4f?' 
5o 
4o 
3«j 
20 


9.9955734 

5703 

5673 

5643 

56i3 

5582 
9.995555? 

5522 

5491 
546 1 
543 1 
54oi 
9.9955370 
534c 
5309 
5279 
5249 

52 1  g 

9.9955 1 8f|47' 

5i5e 

5i27 

5097 

5o66 

5o36 
9.9955005 

4975 

4944 

491  i 

4883 

4853 
9.9954822 

4792 

4761 

473 1 

4700 

4670 
9.9954639 

4608 

457P 

4547 

45i7 

4486 
9.9954455 

442  5 

439i 

4363 

4333 

43o2 
9.9954271 

4240 

4210 

4179 
4i48 

4117 

9.9954087 
4o56 
4o25 
3994 
3963 
3933 

9.9953902 


10 


5o 
4o 
3o 

20 

lO 

46' 
5o 
4o 
3o 
20 
10 

45' 
5o 
4o 
3o 
20 
10 

4-1' 
5o 
4o 
3o 
20 
10 

43' 
5o 
4o 
3o 
20 
10 

42' 
5o 
4o 
3o 
20 
10 

41' 
5o 
40 
3o 
20 
10 

40' 


sin. 


98« 


8I0 


208 


LOGARITHMIC     SINES,     TANG£lfTS,     &C. 


go 


mo 


lO 

20 
3o 

4o 

30 

3o 
.5o 

10 

ao 

'uPU 

,..40 

10 

ao 

'3€ 

.5o 

m'9 

10 
ao 

'3o 
4o 

to 

30 

■■"ijCI 

4o 
5o 

!I6'9 
10 

30 

3o 

40 

5o 
•27' 9 

10 

20 
3<> 
4o 
5o 

2i'9. 
10 
20 
3o 
4o 

my  9 

10 
20 

4o 
5o 
30' 9. 


61  i63o 
61  3070 
61  45 1 3 
61  5o49 
61  7384 

61  8820 

62  0254 

62  1689 

63  3 1 23 
624556 

62  S989 

63  742 1 

62  8853 

63  0284 
63  1715 

i63  3i46 
634575 
63  6oo5 
63  7434 

63  8862 
640290 

64  1718 
64  3i45 
64  4572 
645998 

64  7423 
648848 

65  0273 
65  1697 
65  3i2i 
65  4544 
65  5967 

65  7389 
i65  88ti 

660232 

66  i653 

66  3o74 
664493 
665913 
667332 
668750 
670168 

67  1 586 
67  3oo3 
67  4419 

67  5836 
677251 
678666 
680081 

68  1495 
68  2909 
68  4322 
68  5735 
687148 

68  8559I 
689971 

69  1 382 
692792 
[69  4202 
695612 
697021 


dif.!" 


co-sm. 


43.7 
43.7 
43.6 

43.5 

43.6 
43.4 
43.5 

43.4 

43.3 

43.3 

43.2 

43.2 

43.1 

43<i 

4>}<i 

42.9 

43.0 

42.9 

42.0 

43.8 

42.8 

42.7 

43.7 

42.6 

43.5 

42.5 

42.5 

42.4 

42.4 

42.3 

42.3 

42.3 

42.2 

42.1 

42.1 

42.1 

41.9 

42.0 

41.9 

4i.8 

41.8 

4i.8 

4l.7 

4i.6 

41.7 
4i.5 
4i.5 
5 


tans* 


4i 

41.4 
4i4 
4i-3 
4i-3 
4i.3 
4ii 

4l.2 

4i.i 
4i-o 
4i-o 
4r.o 
40.9 


I0.838  836 1 
838  6924 
838  5487 
8384o5i 
838  2616 
838  1 180 

I0.837  9746 
837  8311 
837  6877 
837  5444 
8374011 
837  3579 

I0.837  1 1 4? 
8369716 
836  8285 
8366854 
836  5425 
836  3995 

10.836  2566 
836  1 1 38 
8359710 
835  8-i82 
835  6855 
835  5428 

10.835  4002 
835  2577 
835  1 1 53 
834  9727 
834  83o3 
834  6879 

10.834  5456 
834  4o33 
834  361 1 
834  1 189 
833  9768 
833  8347 

I0.833  6926 
833  5507 
833  4087 
833  2668 
833  i25<i 
832  9832 


diHl" 


I0.832  84i4  9^171  8989 
832  6007  172  0437 


172  0437 
832  55Si  172  1 885 
832  4i64  172  3332 
832  2749  172  4779 


833  1 334 
10.83 1  0919 
83 1  85o5 
83 1  7091 
83 1  5678 
83i  4^65 
83i  2852 
To.83i  i44i 
83 1  0039 
83o86i8 
83o  7208 
83o  5798 
83o  4388 
io.83o  2979 


di£l" 


■ee. 


9.1657737 
i65  9205 
1660672 
166  2139 
1663606 
166  5072 
1666538 
1668003 

166  9468 
1670032 

167  2396 
167  3859 

9.167  5322 

1676784 
167  8246 

167  9708 

168II68 

168  2629 
9.168408 

168  554 
168  7007 

168  8466 
1689924 

169  i382 
9.1692839 

16942 

16957 

1697208 

1698663 

1700118 

9.170  1572 
1703026 
1704480 

170  5933 
1707385 
1708837 

9.171  0289 

171  1740 
171  3191 
171  464i 
171  6090 
171  7540 


172  6226 
9- 172  7672 

172 91 17 
1730562 

173  2007 
173  345 1 
173  4895 

9-173  6338 
173  7781 

173  9323 
1740665 

174  2107 
1743548 

9.1744988 


co-tan^. 


146.8 

146.7 

146.7 

146.7 

146.6 

146.6 

146.5 

146.5 

146.4 

146.4 

146.3 

146.3 

146.2 

146.3 

146.3 

146.0 

1 46. 1 

146.0 

145.9 

145.9 

145.9 

145.8 

145.8 

145.7 

145.7 

145.6 

145.6 

145.5 

145.5 

145.4 

145.4 

145.4 

145.3 

145.2 

145.3 

145.2 

145.1 

r45.i 

i45x) 

144-9 
145.0 

144-9 
144.8 
144.8 
144.7 

144-7 
144-7 
144.6 
144-5 
144.5 
1445 
144-4 
144-4 
144-3 
144.3 
144.2 
144.2 
144-2 
144.1 
144.0 

di£l" 


eo4«iig. 


I0.834  2263 
8340795 
833  9328 
833  7861 
833  6394 
833  4928 
10.833  3462 
833  1997 
833  o532 
8329068 
8327604 
832  6i4i 
10.832  4678 
832  3216 
832  1754 
832  0292 
83 1  8832 
83 1  7371 
1 0.83 1  591  r 
83 1  4452 
83i  2oo3 
83 1  1 534 
83 1  0076 
83o86i8 
io.83o7i6i 
83o  5704 
83o4348 
83o  27 
83o  i3j7 
8299883 
to.8398428 
829  6974 
839  5530 
8294067 
8392615 
829  I  i63 
10.8289711 
828  8260 
8286809 
828  5359 
828  3910 
828  2460 
10.828  101 1 
827  9563 
8278115 
8276668 

827  5221 

827  3774 

10.827  2328 

827  o883 
826  9438 
8267993 
826  6549 
836  5io5 

10.826  3662 
826  2219 
836  0777 
835  9335 
825  7893 
825  6453 

10.8255012 


tanf. 


10.0046098 
6129 
6160 
6191 
622a 
6253 

10.0046283 

63i4 
6345 
6376 
6407 
6438 

10.0046469 
65oo 
653i 
6562 
6593 
6624 

10.0046655 
6686 
6717 
6748 
6779 
6810 

10.0046841 
6872 
6904 
6935 
6966 
6997 

10.0047028 
7059 
7090 
7122 
71 53 

7184 
10.004721 5 

7346 
7378 
7309 
'  7340 
7371 
io.oo474o3 

7434 
7465 

7497 
7538 
7559 

10.0047591 
7622 
7653 
7685 
7716 
7747 

10.0047779 
7810 
7842 
7873 
7905 
7936 

10.0047967 


d.1" 


eo-«ec. 


3.1 

3.1 

3.1 

3.1 

3.1 

3.0 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.1 

3.2 

3.1 
3.1 
3.1 
3.1 
3.1 
3.1 

3.2 

3.1 
3.1 
3.1 
3.1 

3.2 

3.1 
3.1 
3.1 
3.2 
3.1 
3.1 


eo-tm. 


9.9953002 

384o 
3809 

3778 

3?47 
9.9953717 

3686 


3.2 

3.1 

3.1 

3.2 

3.1 

3 

3.2 

3 

3 

3.2 

3.1 

3.2 

3.1 

3.2 

3.1 
3.1 


d.l" 


3655 
3624 
3593 
3562 

9.9953531 
35oo 
3469 
3438 
3407 
3376 

9.9953345 
33  §4 
3283 

3253 
3221 

3ioo 
9.9953159 
3128 
3096 
3o(i5 
3o34 
3oo3 
9.9952972 
2941 
2910 
2878 

2847 

2816 
9.9962785 
2754 
2722 
2691 
2660 
2629 
9.9962597 
2566 
2535 
25o3 
2472 

344 1 
9.9962409 

2378 

2347 

23i5 

2384 
3253 

9.9962221 

3190 
2i58 
2127 
2095 
2064 
9.9962033 


40' 
5o 
4o 
3o 
20 
10 
39 
5o 
40 
3o 
20 
10 
38' 
5o 
4o 
3o 
20 
10 
37' 
5o 
40 
3o 
20 
10 
36 
5o 
4o 
3o 
20 
10 
35' 
5o 
40 
3o 
20 
10 
34 
5o 
40 
3o 
20 
10 
.33 
5o 
4o 
3o 
20 
10 
32' 
5o 
40 
3o 
20 
10 
31' 
5o 
4o 
3o 
20 
10 
30' 


nn. 


WP 


8I0 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


209 


8° 


1710 


SO' 
10 
20 
3o 
4o 
5o 
31' 
10 
20 
3o 
40 
5o 
32' 
10 
20 
3o 
40 
5(> 
33' 
10 
20 
3c 
4c 
5. 

34' 
1(1 
20 
3o 
4o 
5o 
35' 
10 
30 
3o 
40 
5o 
3o 
10 
20 
3o 
4o 
5o 
37 
10 
20 
3o 

4( 
5o 

;38 

10 
20 
3o 
40 
5o 
3> 
10 
20 
3o 
4o 
5o 
40' 


nn. 


697021 

69  8429 
699838 

70  1 245 
70  2662 
70  4069 
70  5465 
706871 

70  8277 
709682 

71  1086 
71  2490 
71  3893 
71  5296 
71  6699 
71  8101 

71  9603 
720904 

72  23o5 
72  3705 
72  5io5 
72  65o4 
72  7903 

72  9301 
730699 

73  2097 

73  3494 
734800 
736286 
737682 

739077 

74  0472 
741866 
743260 
744653 
746046 
74  7439 

74  883 1 
760222 
76  i6i3 

75  3oo4 
75  4394 
75  5784 
757173 

75  8662 
769960 

76  i338 
76  2726 
764112 

76  6499 

76  6885 
768270 
769666 

77  io4o 
77  2426 
773808 
77  6192 
77  6676 

77  7957 
77  9339 
780721 


dif.l" 


co-sm. 


oo-«ec 


40.8 
40.9 

40.7 
40.7 

40.7 
40.6 
40.6 
40.6 
40.5 
40.4 
40.4 
40.3 
40.3 
40.3 
40.2 
40.2 

4o.i 
4o.i 
4o.o 
4o.o 
39.9 
39.0 
39.8 
39.8 
39.8 

39.7 

39.6 

39.6 

39.6 

39.5 

39.5 

39.4 

39.4 

39.3 

39.3 

39.3 

39.2 

39  1 

39.1 

39.1 

39.0 

39.0 

38.9 

38-9 

38.8 

38.8 

38.7 

38.7. 

38.7 

38.6 

38 

38-6 

38.4 

38.5 

38.3 

38.4 
38.3 
38.2 
38.2 
38.2 


tang. 


dif.l" 


io.83o  2979 
83o  1671 
83ooi62 
829  8766 
829  7348 
829  6941 

10.829  4535 
8293129 
829  1723 
8290318 
8288914 
828  7610 

10.8286107 
828  4704 
828  33oi 
828  1899 
828  0497 
827  9096 

10.827  7696 
827  6295 
827  4895 
827  3496 
827  2097 
8270699 

10.8269301 
826  7903 
826  65o6 
8266110 
8263714 
826  23 1 8 

10.826  0923 
826  9628 
8268134 
826  6740 
826  6347 
826  3954 

10.826  2661 
826  1169 

8249778 
824  8387 
824  6996 
8246606 

10.8244216 
824  2827 
824  1438 
824  0060 
823  8662 
823  7276 

•10.823  5888 
823  4601 
8233116 
823  1730 
823  o344 
822  8960 

10.822  7676 
8226192 
822  4808 
822  3426 
822  2043 
8220661 

10.821  927^9. 


Bee. 


744988 
74  6428 
747868 

74  9307 
76  0746 
76  2184 
753622 
76  6069 
766496 
76  7933 

75  9369 

76  o8o4 
76  2239 
76  3674 
766108 
76  6542 
76  7976 

76  9408 
770840 

77  2272 
77  37o3 
776134 
77  6666 

777995 

77  9426 

78  0864 
78  2283 
783711 
786139 
786666 
787993 

78  9420 

79  0846 
79  2271 

793697 
796121 
79  6646 

797969 

79  9^93 
800816 

80  2238 

8o366o 
80  6082 
80  66o3 
80  7924 

80  9344 

81  0764 
81  2i83 
81  36o2 
81  5o2i 
81  6439 
817866 

81  9273 

82  0690 
82  2106 
823622 
82  4938 
82  6363 

82  7767 
829181 

83  0696 


diCl" 


co-tang 


44.0 
44.0 
43.9 
43.9 
43.8 
43.8 
43.7 
43.7 
43.7 
43.6 
43.5 
43.5 
43.5 
43.4 
43.4 
43.3 
43.3 
43.2 
43.2 
43.1 
43.1 
43.1 
43.0 
43.0 
42.9 
42.9 
42.8 
42.8 
42.7 
42.7 
42.7 
42.6 
42.5 
42.6 

4U 
42.6 
42.3 
42.4 
42.3 
42.2 
42.2 
42.2 
42.1 
42.1 
42.0 
42.0 

4.. 


co-tang. 


■ec. 


di£l" 


10.826  6012 
826  3572 
826  2l32 
8260693 
824  9264 
8247816 

10.824  6378 
824  4941 

824  35o4 
824  2067 
824o63i 
8239196 

10.823  7761 
823  63261 
823  4892 
823  3458 
823  2026 
823  0692 

10.822  9160 
822  7728 
822  6297 
8224866 
822  3436 
822  2006 

10.822  0676 
821  9146 
821  7717 
821  6289 
821  4861 
821  3434 

10.821  2007 
821  o58o 

8209164 
820  7729 
820  63o3 
820  4879 
10.820  3454 
820  2o3i 
8200607 

8199184 

8197762 

8196340 

10.8194918 

8193497 
819  2076 
8190666 
818  9236 
8187817 

10.818  6398 
818  4979 
818  366i 
8182144 
8180727 
817  9310 

10.817  7894 
8176478 
8176062 
8173647 

817  2233 


8I708I9 
10.8169405 


taug. 


10.0047967 

8062 
8093 
8126 

io.oo48i66 
8188 
8219 
8261 
8283 

83i4 
io.oo48346 

8377 
8409 

8441 
8472 
8604 
io.oo48536 
8667 

lei? 

8662 

8694 

10.0048726 

8767 
8789 
8821 

8863 
8884 

10.0048916 
8948 
8980 
9012 
9043 
9076 

10.0049107 
9139 
9171 
9203 

9234 
9266 
10.0049298 
9330 
9362 

9394 
9426 
9468 

10.0049490 
9622 
9654 
9686 
9618 
9660 

10.0049682 
9714 
9746 
9778 
9810 
9842 

10.0049874 


d.1" 


3.2 

3.1 

3.2 

3.1 

3.2 

3.1 

3.2 

3.1 

3.2 
3.2 

3.1 

3.2 

3.1 

3.2 
3.2 

3.1 

3.2 
3.2 

3 
3 
3 
3 
3 

3.2 

3.1 

3.2 
3.2 
3.2 

3.1 

3.2 
3.2 
3.2 
3.2 

3.1 

3.2 
3.2 
3.2 
3.2 
3.2 

3.1 

3.3 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 
3.2 


e»4tn. 


co-sec 


d.l" 


9.9962033 
2001 

1970 
1938 
1907 
1876 

9.9961844 
1812 
1781 

1749 
1717 
1686 

9.9961664 
1623 

16 

1659 

1628 

1496 

9.9961464 

1433 

i4oi 
I 

1 33 
i3o6 

9.9961274 
1243 

I21I 

1 179 

1 147 
II16 

9.9961084 
1062 
1020 

0988 
0967 

0926 
9.9960893 

0861 
0829 
0797 
0766 
0734 

9.9960702 
0670 
o638 
0606 
0674 
0642 

9.9960610 
0478 
o446 

o4i4 
o382 
o35o 
9.9960318 
0286 

0264 
0222 
0190 
01 58 
9.9960126 


30' 
5o 
40 
3o 
20 
10 
29 
60 
40 
3o 
20 
10 
28' 
60 
4o 
3o 
20 
10 
27' 
5o 
40 
3o 
20 
10 
26 
5o 
4o 
3o 
20 
10 
25' 
5o 
4o 
3o 
20 
10 
24' 
5o 
4o 
3o 
20 
10 
23' 
60 
4o 
3o 
20 
10 
22' 
5o 
4o 
3o 
20 
10 
21' 
60 
4o 
3o 
20 
10 
20' 


■in. 


98° 


81« 


27 


m 


210 


LOGAHITHMIC     SINE*,     TANGENTS,     &C. 


8® 


1710 


10 
90 

3o 

4o 

5o 

41 

10 

90 

3o 

4o 

■5o 

142 

10 

ao 
3o 
4o 
5a 
143' 

10 

30 
■«jO 

4o 
5o 

44' 

10 
20 

3o 
4o 
5o 

45 

10 
20 

3o 
4o 
5o 


10 

3o 
4o 

*JPM 


10 
30 

3o 

4o 
5o 

48' 

10 

»o 


■ifi< 


9.178  0731 
1782103 
178  3483 
1784863 
178G243 
i'78  '7^2 

9. 1 7»  9001 
1790^79 

179 '757 
17q3i35 
I7945I3 
1795888 
9-1797365 
1798640 
}8o  0016 
1801390 
180  3765 

180  4 1 39 
9.1805612 

180688S 
1808258 
1809630 

181  looa 
181  3373 

9-181  3744 
181  5ii4 
181  6484 
181  7854 

181  9333 

182  0693 

9.183  1960 
18a  3338 
1834695 
182  6oti2 

182  7428 

183  8704 
46l9*i83oi6o 

i83  1525 
1 83  38^1 

1 83  4a  ^4 

i83  56i8 

i836q8i 

i7'|9'i83  8344 

1 83  9706 
1841068 

184  a43o 
1 84  3791 
i845i53 

9.1 84  65 12 

184787a 

1 84  9333 
i85o59i 
i85  1949 
i85  33o7 

4919.185  4665 
i856o32 

1 85  7379 
i85  8735 
1860091 

186  1447 
91863802 


Ml' 


3o 
4o 
5o 


10 
30 
3o 
4o 

150 


c(Hiin. 


i38.i 

38.1 

38.0 

37.9 
37-9 
37.8 
37.8 
37.8 

37.7 
37.6 

37.7 
37.5 
37.6 
37.4 

37.5 
37.4 
37.3 

37.3 
37,3 
37.3 
37.1 

37.1 

37.0 
37.0 
37.0 
36-9 
36.9 
36.3 
36.8 

36.7 
36-7 
36.6 
36.6 
36.6 

36.5 
'Jo  .4 
36-4 
36.3 
36.3 
36.3 
36.3 
36.3 
36.1 
36.1 
36.0 
36.0 
36.0 
35.9 
35.8 
35.8 
35.8 
35.7 
35.7 
35.6 
35.6 
35.6 
35.5 

dif.l" 


90  M)6« 


34 

liol 


10.821  92709. 
Bai  7898 
831  65i7 
821  5i37 
831  3757 
831  3378 

f 0.83 1  0999I9 
830  963 1 
530  8a43 
8306665 
830  5488 
830  4i  I  a 

10^30  a735|9. 
830  i36o| 
819098 
8f9r8oi 
8197235 
&195861 

1018194488 
8193115 
819  174a 
8190370 
8188098 
818  7027 

10.818  6a56 
818  4886 
8i8  35i6 
818  3i46 
818  0777 
8170408 

10J178040 
8176673 
817  53o5 
8i73o38 
817  3573 
817 1206 

10.8169840 
8168475 
8167110 
816  5746 
8164382 
816  3010 

10.816  i65e 
8160 
8i5 

8157570 
8156209 
8i54848 

Jo.8i5  3488 
8i5  3i28 
8150768 
8149409 
8i48o5i 
8i466o3 

10.8145335 
8143978 

8l4  303l 

8i4  1365 
813900 
81 3  855 
io.8i3  7198 


tang. 


■ec. 


83  0595 
83  3008 
833431 

83  4833 

83  6245 
837657 
839068 
840478 
841888 
843298 

844707 
8461 16 

84  7535 

84  8o33 
85o34o 

85  1747 
'8S3i54 

85  4560 
855066 
857371 
858776 
86or8i 

86  1 585 
862988 
864J92 
865794 
867197 

186  8599 
'870000 

87  i4oi 

»7  2802 

87  4ao3 
87560a 
877001 
878400 
879798 
881196 

88  2594 
883991 

88  5388 

886784 
888180 
889575 
890970 
892365 

89  3759 
895153 

89  6546 

899331 
900734 

90  aii5 

90  35o6 
904807 
906387 

907677 
909067 

91  o456 
91  1845 
91  3a33 
91  463 1 


eo-tang. 


MTA" 


41.3 
4i3 
41.3 

4l'3 

4i.a 
4i-i 
4i.o 
4i.o 
4(.o 
40.9 
40.9 
40.9 
40.8 

40.7 
40.7 
40.7 
40.6 
4o.6 
40.5 
4o.5 
40.5 
4cs4 
40.3 

40.4 
4o.a 
4ov3 
4o.3 
40.1 
4o.f 
40.1 
40.0 
4o.o 
399 
399 
398 
398 
398 
397 
39.7 
39.6 
396 
39.5 
39.5 
39.5 
39.4 
39.4 
39.3 
39.3 
39.9 
39.3 
39.1 
39  1 
39.1 
39.0 
39.0 
39.0 
38.9 
38-9 
38.8 
38.8 

dif.r' 


eo-taug.* 


10.8 
8 
8 
8 


69405 
67992 

66579 

6  5167 

6  3755 

6  3343 

60933 

50533 

58ii3 

56702 

5  5393 

5  3884 

52475 

5  i«67 

4q6 

48a63 

46846 

4  544© 
4  4o34 
4  2639 

4  1324 

39819 

3  84n 
3  7012 
3  56o8 
34306 
3  a8o3 
3  i4oi 
3oooo 
38590 
27196 
25796 
34396 
23099 

3  1600 
2  0203 

r88o4 
I  7406 
1  6009 
i46i3 
I  3216 
1  1820 
1  0435 
09030 
07635 
06241 
0  4847 
o3454 
02061 
00669 
809  9276 
809  7885 
809  6494 
8095103 
10.8093713 

809  3323 

8090933 

808  9544 
8088155 
806  6767 

10.808  5379 


8 
8 

10.8 
8 
8 
8 
8 
8 

10.8 
8 
8 
8 
8 
8 

10.8 
8 
8 
8 
8 
8 

10.8 
8 
8 
8 
8 
8 

i«k8 
8 
ft 
8 
8 
8 

lo.B 
8 
8 
8 
8 
8 

10.8 
8 
8 
8 
8 
8 

10.8 
8 


tang. 


•ec. 


d.1' 


104)049874 
9906 
9938 

10.0049971 

ioxx)5o<x)3 
oo35 

10.0050067 
0009 

OlJl 

0164 
0196 
0228 

io.oo5o26o 
0292 
o325 
o357 
©389 
0421 

iox>o5©454 
©486 
o5i8 
o55i 
o583 
o6i5 

io.oo5o648 
0680 
0713 
0745 
©777 
0809 

iaoo5o842 
0874 
0907 
©939 
©971 

ioo4 
iox)o5io36 
1069 
1101 
11 34 
1166 

1264 
1296 
1329 
1 362 
I  3.94 

io.oo5i427 
1459 
1492 
i525 
i557 
1590 

io.oo5i623 
i655 
1688 
1721 
1753 
1786 

io.oo5i8i9 


co-aee. 


3.3 
3.2 

3.31 

3.3 

3.3 
3.3 
3.3 
3.2 

3.3 

3.2 
3.2 

3.2 
3.2 

3.31 

3.2 
3.3 
3.2 

3.3 

3.2 
3.3 

3.3; 

3.2 

3.2 

3.3 

3.3 
3.2 

3.3 

3.3 
3.3 

3.3 

3.3 

3.3 

3.3 

3.2 
3.3 

3.3 

3.3 

33 

3.3 

3.3 

3.3 
3.3 
33 

3.2 

3.3 
3.3 

3.3 

3.3 

3.2 

3.3 
3.3 

32 

3.3 
33 

32 

33 
3.3 

32 

3.3 
3.3 


d.l" 


co-am. 


9.9950126 
0094 
0062 

9.9950029 

9.9949997 
9965 
9.9949933 


^ 


69 
9836 

9804 
9772 

9.9949740 
9708 
9675 
9643 
9611 
9579 

9.9949546 
9514 
948 

9449 
9417 

9385 
9.9949352 
9320 
9088 
9255 
9223 

9'? 
9.99491 58 
9126 
9093 
906 


^9948964 
8931 
8899 
8866 
8834 
8801 

9.9948769 
8736 
8704 
8671 
8638 
8606 

0.9948573 
8541 
85c)8 
8475 
8443 
84io 

9.9948377 
8345 
83i2 
8279 
8247 
8214 

9.994818 1 


■m. 


20' 
5o 
40 
3o 


20 
10 
19' 
5o 
4o 
3o 

30 
10 

18' 

5o 
40 
3o 
20 
10 
17 
5o 
40 
3o 

30 

10 

16' 
5o 
40 
3o 
30 
10 
1.5' 
5o 
4o 
3o 
30 
10 
14' 
5o 
40 
3o 
20 
10 
13 
5o 
4o 
3o 
20 
10 
12' 
5o 
4o 
3o 
20 
10 
11' 
5o 
4o 
3o 
20 
10 
10' 


98» 


8I0 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


211 


go 


50' 

10 
20 
3o 
4o 
5o 
51' 
10 
20 
3o 
4o 
5o 
52' 
10 
20 
3o 
40 
5o 
53' 
10 
20 
3o 
40 
5o 
A 
10 
20 
3o 
4o 
5o 
o5' 
10 
20 
3o 
4o 
5o 
•j6' 
10 
30 
3o 
40 
5o 
.57' 
10 
30 
3o 
4o 
So 
■>8 
10 

90 

3o 
4o 
5o 
5l)' 
10 
20 
3o 
40 
5o 
6D' 


mo 


Bin. 


86  2802 
86  4^57 
86  5511 

86  6865 
868218 
869571 

87  0923 
87  2275 
87  3637 

87  4978 
87  6329 

87  7679 

87  9029 

88  0379 
88  1728 
883076 
88  4425 
88  5772 

88  7120 

888467 
889813 
891159 

89  25o5 
89  385o 
89  5195 
896539 

89  7883 
899226 
900570 

90  1912 

903254 
904596 

90  5938 
907378 
908619 
909959 
9r  1299 

91  2638 

91  3977 
9!  53i5 
91  6653 

91  7991 

91  9328 

920665 

92  2001 
92  3337 
92  4672 
926007 

92  7342 

93  8676 
93  0010 
93  1 343 
93  2676 
93  4009 
93  5341 
936672 
938004 

93  9334 
940665 

94  1 095 
94  3324 


di£  1" 




08° 


co-ain. 


35.5 
35.4 
35.4 
35.3 
35.3 
35.3 
35.2 
35.3 
35.1 
35.1 
35x) 
35.0 
35.0 
34.9 
34.8 

34.9 
34.7 
34-8 

34-7 
34-6 
34.6 
34.6I 
34-5 
34.5, 
34.4 
34.4 
34.3 

34.4 
34.3 
34-3 
34.3 

34 

34.0 

34.1 

34-0 

34o 

33.9 

33.9 

33.8 

33.8 

33.8 

33.7 

33.7 

33.6 

33.6 

33.5 

33.5 

33.5 

33.4 

33.4 

33.3 

33.3 

33.3 

333 

33.1 

33.3 

33.0 

33i 

33.0 

33.9 


co-sec. 


10.8 
8 
8 
8 
8 
8 

10.8 
8 


8 
8 
8 
8 
10.8 
8 


8 
8 
8 
8 
10.8 
8 


8 
8 
8 
8 
10.8 
8 
8 
8 


)21 


diCl" 


tang. 


273 

6924 

5575 

4338 

3880 

1 533 

1  0187 

0884 1 

07495 

o6i5o 

o48o5 

o346i 

03117 

00774 

809  943o 

8098088 

10.8096746 

809  54o4 

8094062 

809  2722 

8091381 

8090041 

10.808  8701 

808  7362 

8086023 

808  4685 

808  3347 

808  2009 

10.808  0672 

807  9335 

8077999 

8076663 

807  5328 

807  3993 

10.807  2658 

807  1 324 

8069990 

8068657 

8067324 

806  5991 

10.806  4659 

806  3328 

806  1996 

8060666 

8o5  9335 

8o5  8oo5 

io.8o5  6676 


aec. 


91  4621 
91  6008 
91  7395 

91  8781 

92  0168 
92  1 553 

92  3930 

93  4333 
93  5708 
93  7093 
93  8475 
939859 

93  134l 

93  2624 
934006 
93  5387 
93  6768 
93  8149 

93  9539 
940909 
942288 
943667 

94  5o46 

946424 
947802 

949179 

95  o556 

95  1932 
953308 
954684 
95  6059 
95  7434 
95  8809 
960183 
961556 
962929 
964302 

965674 
967046 
968418 
969789 
97  1160 
97  253o 
97  3900 
97  5269 
97  6638 
978007 

97  9375 

98  0743 

98  2111 
983478 
984844 
986210 
987576 
988941 
99o3o6 
991671 

99  3o35 

99  4399 
995763 
997135 


dif.l" 


co-tang. 


38-7 
38-7 
38.6 
38-7 
38.5 
38,6 
38.4 
38.5 
38.4 
38.3 

38.4 
38.2 
38.3 
38.2 
38.1 
38.1 
38.1 
38.0 
38.0 
37.9 

37 

37.9 

37.8 

37.8 

37.7 

37.7 

37.6 

37.6 

37.6 

37.5 

37.5 

37.5 

37.4 

37.3 

37.3 

37.3 

37.3 

37.3 

37.3 

37.1 

37.1 

37.0 

37.0 

36.9 

36-9 

36.9 

36.8 

36.8 

36.8 

36.7 

36.6 

36.6 

36.6 

36.5 

36.5 

36.5 

36.4 

36.4 

36.3 

36.3 


diCl" 


eo-tang. 


10 


10 


10 


10 


10 


10 


10 


10 


10 


10 


10 


808  5379 
8083993 
808  2605 
808  131 
8079833 

807  8447 
807  7061 
807  5677 
807  4393 
807  3908 

807  1325 
8070141 
.806  8759 
8067376 
806  5994 

806461 3 

806  3232 

8o6i85i 
806  o47 1 
8059091 
8057712 
8o5  6333 
8o5  4954 
8o5  3576 
,8o5  2198 
8o5o82i 
804  9444 
8048068 
804  6692 
8o4  53i6 
.804  3941 
8o4  2566 
8o4  1 191 
8039817 
8o3  8444 
8o3  7071 
.8035698 
8o3  4326 
8o3  2954 
8o3  1 582 
8o3o2ii 
803  8840 
.803  7470 
803  6100 
803  473 1 

802  3363 

803  1993 
8030625 
801  9257 
8017889 

801  6522 

801  5i56 
801  3790 
801  2424 
801  1059 
800  9694 
8008329 
8006965 
8oo56oi 
800  4338 
800  3875 


tang. 


aec 


d.!" 


io.oo5i8i9 
i85i 
1884 
1917 
1950 
1983 

io.oo53oi5 
2o48 
2081 

3Il4 

3i46 
2179 
io.oo5a3i2 
3345 
2278 

33ll 

3344 

3376 
ioxx}524o9 
244a 
3475 
35o8 
3541 
3574 
10.0052607 
2640 
2673 
2706 

2739 

3773 

io.oo538o5 
3838 
3871 
2904 
3937 
2970 

io.oo53oo3 
3o36 
3070 
3io3 
3i36 
3169 

I0.00532O2 

3235 
3268 
33o2 
3335 
3368 

io,oo534oi 
3435 
3468 
35oi 
3534 
3568 

io.oo536oi 
3634 
3667 
3701 
3734 
3767 

io.oo538oi 


3.3 

3.3 
33 
3.3 

3.3 

3.3 
33 
3.3 
3.3 

3.2 

3,3 
3.3 
3.3 
3.3 
3.3 
3.3 

3.3 

33 
33 
3.3 
3.3 
3.3 
3.3 
3.3 
3.3 
3.3 
3.3 
33 
3-3 
33 
3-3 
3.3 
33 
3.3 
3.3 
3.3 
3-3 
3.4 
3.3 
3.3 
3.3 
33 
3.3 
3.3 
3.4 
3-3 
3.3 
3.3 
3-4 
3-3 
3.3 
3.3 
3.4 
3.3 
3.3 
3.3 
3.4 
3.3 
3.3 
3.4 


co-sec. 


d.!" 


co-8in. 


9.9948181 

8149 
8116 
8o83 
8o5o 
8018 
9.9947985 
7952 
7019 
7886 

7854 
7621 
9.9947788 
7755 
7733 
7689  3 
7656 
7624 

9.99475^^ 

7535 
7492 
7459 
7426 
9-9947393 

7337 
7294 
7301 
7328 

9.9947195 
7162 

7129 

7096 

7063 

7o3u 

9.9946997 
6964 
6930 
6897 
6864 
683 

9.9946798 
6765 
6732 
6698 
6665 
6632 

9.9946599 
6565 
6532 
6499 
6466 
6432 

9.9946399 
6366 
6333 
6299 
6266 
6233 

9.9946199 


sin. 


JO' 
5o 
4o 
3o 
30 

10 

9/ 

5o 

4o 

3o 

30 

10 

8' 

5o 

4o 


JO 


30 
10 

7' 
5o 
4o 
3o 

20 
10 
6' 

5o 

4o 

3o 

30 

10 

a' 

5o 

4o 

3o 

20 

10 

4' 

5o 

4o 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

TO 

2' 

5o 

40 

3o 

20 

10 

I' 

5o 

4o 

3o 

20 

10 

0' 




8I0 


ii!!ii!!i|llj[v'iBiir:ii7apii!!i"ir 


iU 
" 


212 


LOGAEITHMIC     SINES,    TANGENTS,    <kc. 


IF* 


1700 


■in. 


MICl*' 


0'  5 

IG 

90  . 
vO 

4/0 
So 

r  ^ 

10 
30 

3o 

4o 
5o 

lO 

ao 
3o 
4o 

3'  ^ 

lO 

ao 
3o 
io 
So 
4'  ^ 

10 

90 

'yMy 

4o 

:50 

5'  5 

10 

ao 

'3o 

4o 
So 
6'  s 

10 
20 

3o 
4o 

7'  s 

lO 

90 

4o 

8'  s 

ao 
Jo 
4o 

■IjWJ' 

lO 

ao 
3o 
4o 

10' ( 


94  3334 

944654 
94  5o83 

94  7^»  < 

94  8630 

95  1293 

:9s  36ao 
953946 

95  5372 

956597 

95  7933 

95  9947 

960571 

961895 

963218 

964541! 

96S864 

967186 
968507 
969829 
97  1  i5o 
97  2470 

973790 
97  5iio 
97  6429 

97  774tt 
979066 
980334 

98  1703 

983019 

984336 

08  5653 

986968 

968284 

989599 
990913 

993338 

993542 

994855 

996168 

997481 

998793 

aoooioS 

300  i4i7 

300  3738 

300  4o38 

300  5349 

200  6658 
2007968 

200  9377 

301  o586 

201  1894 

30 1  3303 

,201  4509 
301  58i6 

30I  7133 
30I  8439 
30I  9735 
303  I040 
,303  3345 


1 33.0 

1 32.8 
132.9 
i33.B 
133.7 
132.7 
i32.7 
1 33.6 

1 32. 6 
i33.5 
1 33.5 
i33.5 
133-4 
1 33.4 
i32.3 
i32.3 
i32.3 

l33.3 
1 33. 1 
l33.2 
f32.I 
l32.0 
1 33.0 
l32.0 

i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3i 
i3f 
i3i 
i3i 
i3i 
i3i 
i3i 

1 30.9 
i3i.o 
1 30.9 
130.9 
i3o.8 
i3o.8 

1 30.7 
i3o.7 
i3o.7 
i3o.6 
i3o.6 
i3o.5 
i3o.5 


\i 

1.8 
8 

•7 
1.7 
1.6 

.6 
1.6 
1.5 

1.4 

1.5 

1-4 

.3 

t.3 

1.3 

.3 

.2 

.3 

.1 

.0 

.1 


CO-MC 


10 


fO 


10 


8o5  6676  9. 
8o5  5346 
8o5  4oi8 
8o5  3689 
8o5  i36i 
8o5oo34 
.8048707 
8047380 

8o46o54 
804  4738 
804  34o3 
804  2078 
.804  0753  9. 


10 


10. 


10 


10. 


10 


10. 


10 


(m  igtn 


M.I" 


10 


8039439 

8o3  8io5 
8o3  6782 
8o3  5459 
8o3  4i36 
.8o3  3814 
8o3  1493 
8o3oi7i 
8o3  885o 
803  753o 
8026310 
,802  4890  9 
802  3571 
802  3252 
802  0934 
801  9616 
8018208 
.801  6901 
801  5664 
801  4348 
801  3o32 
801  1716 
801  o4oi 
.8009087 
800  7772 
8006458 
800  5i45 
800  3832 
8002519 
.800  1307 
7999895 
799  8583 
7997373 
7995962 
799  465  r 
.799  3343 

799  2032 
7990723 

7980414 
798  8106 
7986798 
798  5491 
7984184 
798  3877 
798  l57l 
798  0365 
797  8960 
•797  7o55 


tang* 


199  7125 

1998488 
1999850 

300  1 3 II 

300  3573 

aoo  3934 
3005294 
2006654 
3008014 
3009373 

301  0733 
30I  309! 

301  3449 

aoi  4800 
30I  6i63 

30 1  7520 

201  8877 

302  0233 
.203  1 588 

302  2944 

aoa  43C 

202  56^ 

203  7007 

303  836i 

,303  9714 

203  1067 

303  2419 
3033771 
3o3  5 1 23 

303  6474 
.2o3  7825 
2039175 

304  oSsS 
3o4  1875 
ao4  3234 
3o4  4573 
.3o4  5922 

304  7270 

2048617 

204  9964 

305  i3ii 

205  2658 
.3o5  4oo4 

3o5  535o 
3056695 
3o5  8o4o 

305  9384 
2060728 
.206  3073 

306  34 1 5 

206  4758 
206  6101 
206  7443 

206  8784 
.2070126 

307  1467 
307  3807 

307  4i47 

207  5487 
307  6836 

1.307  8 1 65 


e<>>taiif. 


MtV 


36.3 
36.3 
36.1 
36.3 
36.1 
36.0 
36.0 
36.0 
35.9 
35.9 
35.9 
35.8 
35.7 
35.7 
35.7 
35.7 
356 
35.5 
35.6 
35.5 
35.4 
35.4 
35.4 
35.3 
35.3 
35.2 
35.3 
35.3 
35.1 
35.1 
35.0 
35.0 
35.0 

34-9 
34<9 
34-9 

34.8 

34-7 
34-7 
34.7 
34.7 
34*6 
.34.6 
34.5 
34.5 
34.4 
34.4 
34.4 
34.3 
34.3 
343 
34.3 
34.1 
34-2 
34.1 
34.0 
34-0 
34.0 
33.9 
33.9 


dlf.l" 


eiMmiif. 


10.800 
800 
800 

799 

799 

799 
10.799 

799 

799 

790 

798 

798 

10.798 

798 
798 
798 
798 

797 
10.797 

797 
797 
797 
797 
797 
10.797 
796 
796 

796 
796 
796 

10.796 
796 
795 
795 
795 
795 

10.795 

795 

795 

795 

794 

794 

10.794 

794 

794 

794 
794 
793 

10.793 
793 
793 
793 
793 
793 

10.793 
792 
793 
793 
792 
79a 

10.792 


10 


10 


10 


10 


3875  10. 

l5l3 

oi5o 
8789 

7437 
6066 
4706 
3346 
i(^ 
0627 
9268 

0331 

5io4 

3837 
2480 

1123 

0767 
84i3 
7o56 
5701 

4347 

1639 
0386 
8933 
758 1 
6239 

4877 

3526 

2175 

0825 

9475 

8125 

6776 

5437 

4078 

3730 

1383 

oo36 

8689 

734a 

5996  10 

4o5o 

33o5 

1960 

0616 

9272 

7938 

6585 

524a 

3809 

2557 

1216 

9874 

8533 

7193 

5853 

45i3 

3i74 

1 835 


Unf. 


wc 


10 


10 


10 


10 


10 


,ooS38oi 
3834 
3867 
3901 
3934 
■  3968 

oo54ooi 
4o34 
4o68 
4ioi 
4i35 
4i68 

0054303 

4235 
4269 
43o3 
4336 
436o 
.oo544oj 
4436 

4470 
45o3 

4537 

4571 

,oo546o4 

4638 

4671 
47o5 
4739 
4772 

oo548o6 
4840 
4873 
4907 
4941 
4974 

.oo55fX)8 

5o43 

5076 

'5io9 

5i4J 
5 177 

.oo553ii 
5344 
5378 
53i3 
5346 
538o 

.00554 1 3 

5447 
548 1 
55i5 
5549 
5583 
.0055617 
565i 
5685 

5719 

5753 

5786 

oo5583o 


eo-Mc. 


d.!' 


3.3 
3.3 

3.4 
3.3 
3.4 
3.3 
3.3 

3.4 
3.3 
3.4 
3.3 
3.4 
3.3 

3.4 
3.3 

3.4 
3.3 
3.4 
3.3 
3.4 
3.3 
3.4 
3.4 
3.3 
3.4 
3.3 
3.4 
3.4 
3.3 

3.4 
3.4 
3.3 

3.4 
3.4 
3.3 
3.4 
3.4 
3.4 
3.3 
3.4 
3.4 
3.4 
3.3 

3.4 
3.4 
3.4 
3.4 
3.3 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.3 
3.4 


co-am. 


41" 


9.99461 

6i6<) 
6i33 


6o32 
9.9945999 
596(3 
5932 
5899 
5865 
5832 
9.9945798 
5765 
5731 
5698 
5664 
563 1 
9.9945597 
5564 
553o 

549"' 
5463 

5429 
9.9945396 

5362 

5339 

5295 

526  r 

5228 

9.9945104 
5ioo 

5l27 

5093 
5o59 
5026 

9.994499'> 
4958 

4924 
4891 
4857 
4823 
9.9944789 
4756 
4722 
4688 

4654 

4620 

9.9944587 

4553 

4519 
4485 
445i 

4417 
9-9944383 

434? 
43i5 
4381 

4347 

4314 

9.9944180 


9960' 


■in. 


5o 
40 
3o 
20 
10 

5!V 
5( 
40 
3() 
20 
10 

58' 
5o 
4o 
3o 
30 
10 

57' 
5o 
40 
3o 
20 
10 

.'Hi' 
5o 
40 
3o 
20 
10 

55' 
5o 
40 
3o 
20 
10 

54' 
5o 
4o 
3o 
20 
10 

.53' 
5o 
40 
3o 
20 
10 

52' 
5o 

4o 
3o 
20 
10 
51' 
5o 
4o 
3o 

30 
10 

50' 


MAO 


80* 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


213 


90 


170° 


10' 
10 
20 
3o 
4o 
5o 
II 
10 
30 
3o 
4o 
5o 
12' 
10 
20 
3o 
4o 
5(> 
13 
10 
20 
3o 
40 
5o 
14' 
10 
20 
3o 
4o 
5o 
15 
10 
20 
3o 
4o 
5o 
16 
10 
20 
3o 
4o 
5o 
17 
10 
20 
3o 
4o 
5o 
18 
10 
20 
3o 
4o 
5o 
19' 
10 
30 
3o 
40 
5o 
20' 


sin. 


9.202  2345 
202  365o 
202  4954 
202  6258 
202  7561 

202  8864 

9.203  0167 

203  1469 
ao3  2771 
2o3  4072 
2o3  5373 
2o3  6673 

9.203  7974 

203  9273 

2o4  0573 

3o4  1872 
2043170 

204  4469 

9.204  5766 
3o4  7064 

204  836 1 
3o4  9657 

205  0954 
2o5  2249 

9.205  3545 
2o5  484o 
2o5  6i34 
2o5  7439 

205  8722 
2060016 

9.206  1 309 

206  2602 
206  3894 
206  5 186 
206  6477 

206  7768 

9.206  9059 

207  0349 
207  1639 
207  2929 
2074218 
207  55o6 

9.207  6795 
207  8o83 

207  9370 
3080657 
308  1944 
308  323o 

9.308  45i6l 

208  58o2 
208  7087 
208  8372 

208  9656 
2090940 

9.209  2224 

209  3507 

2094790 
2096072 
209  7354 
209  8636 
9.2099917 


diCl" 


co-ain. 


3o. 

3o.4 

3o.4 

3o.3 

3o.3 

3o.3 

30.2 

3o.2 

3o.i 

3o.! 

3o.o 

3o.i 

29.9 

3o.o 

29.9 

29.8 

29.9 

29.7 

29.8 

29.7 

29.6 

29.7 

29.5 

296 

29.5 

29.4 

29.5 

29.3 

29.4 

29.3 

29.3 

29.2 

29.2 

29.1 

29.1 

29.1 

29.0 

29.0 

29.0 

28.9 

28.8 

28. 

28. 

28.7 

28.7 

28.7 

28.6 

28.6 

28.6 

28.5 

28.5 

28.4 

28.4 

28.4 

28.3 

28.3 

28.2 

28.2 

28.3 

38.1 


co-sec. 


5  10.797  7655  9 
797  63  5o 
797  5o46 
797  3743 
797  3439 
797  1 1 36 

10.79698339. 
7968531 
7967330 
796  5928 
796  4627 
796  3327 

10.796  2026 
796  0727 
795  9427 
7958128 
795  683o 
795  553 1 

10.795  4234 
795  2936 
795  1639 
795  o34o 
794  9046 
7947751 

10.7946455 
794  5 1 60 
794  3866 
794  2571 
794  1278 
793  9984 

10.793  8691 
793  7398 
7936106 

7934814 
793  3523 

793  2232 

10.7930941  9 
7929651 
792  836 1 
792  7071 
792  5782 
792  4494 

10.792  32o5  9 
792  1917 
792  o63o 
791  9343 
791  8o56 
791  6770 

10.791  5484 
791  419^ 
791  2913 
791  1628 
791  o344 
7909060 

10.7907776 
7906493 
7905210 
790  3928 
790  2646 
790  1 364 

10.790  oo83 


Ung. 


207  8 1 65 

307  9504 
208084a 

308  2180 
308  35i7 
3o8  4854 
308  6191 

208  7527 
208  8863 


?5S 


dif.l" 


sec. 


di£l" 


20901 

209  i5-^ 

209  2868 

.209  42o3 

209  5536 

2096870 

2098203 

209  9536 

«'oo868 

o  2200 

o  3532 

0  4863 
06194 
07524 
08854 
10184 

1  i5i3 
I  2842 
I  4170 
15498 
16826 
i8i53 

1  9480 
20807 

2  2i33 

2  3459 

24784 
26109 

27434 
28758 
30082 

3  i4o6 
3  2729 
3  4o5i 
35374 
36696 

3  8017 

3  9338 
40659 

4  T980 
4  33oo 
44619 
45939 

4  7258 
48576 

49894 

5  1212 
5  2529 
5  3846 
5  5i63 

5  6479 
57795 


co-tang. 


33.9 

33.8 
33.8 
33.7 
33.7 
33.7 
33.6 
33.6 
33.6 
33.5 

33.4 
33.5 
33.3 

33.4 
33.3 
33.3 
33.2 
33.2 
33.2 
33.1 
33.1 
33.0 
33.0 
33.0 
32.9 
32.9 
32.8 
32.8 
32.8 
32.7 
32.7 
32.7 
32.6 
32.6 
32.5 
32.5 
32.5 
32.4 
32.4 
32.4 
32.3 

32.2 

32.3 

32.2 

32 

32 

32 

32 

32.0 

31.9 

32.0 

3i. 

3i. 

3i.8 

3i.8 

3i.7 

3i.7 

3i.7 

3i.6 

3i.6 


co-tang. 


10.793  i835 
793  0496 
791  908 
791  7820 
791  6483 
791  5 146 

10.791  3809 
791  247J 
791  1 1 37 
7909801 
7908466 
7907132 

10.790  5797 
790  4464 
79o3i3o 
790  1797 
790  0464 
7899132 
0.789  7800 
789  6468 
789  5 1 37 
7893806 
789  2476 
789  1 146 

10.7889816 
788  8487 
7887158 
788  583o 
788  45o2 
788  3174 

10.788  1847 
788  o52o 

787  9^93 
787  7867 
7876541 

787  5216 
10.787  3891 

7872566 

787  1243 
7869918 

786  8594 

7867271 
10.786  5949 

786  4626 

786  33o4 
7861983 
7860662 
7859341 

10.785  8020 
785  6700 
785  538 1 
785  4o6i 
785  2742 
785  1424 

10.7850106 
784  8788 
7847471 
784  6x54 
784  4837 
7843521 

10.784  3305 


0vC* 


d.l" 


difcl" 


io.oo5583o 
5854 
5888 
5922 
5956 
5990 

io.oo56o25 
6059 
609J 
6127 
6161 
6195 

10.0056229 
6263 
6297 
633 1 
6365 
6400 

io.oo56434 
6468 
65o2 
6536 
6570 
66o5 

10.0056639 
6673 
6707 
6742 
6776 
6810 

io.oo56844 
6870 
6913 

6947 
6982 

7016 

io.oo57o5o 

7o85 

7119 

71 54 
7188 

7222 

10.0057257 
7291 
7326 
7360 
7394 
7429 

io.oo57463 
74q8 
7532 
7567 
7601 
7636 

10.0057670 
77o5 
7740 
7774 
7809 
7843 

10.0057878 


tang. 


co-sec. 


3.4 
3.4 
3.4 
O'A 
3.4 
3.5 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.4 
3.5 
3.4 
3.4 
3.4 
3.4 
3.4 
3.5 

3.4 
3.4 
3.4 
3.5 
3.4 
3.4 
3.4 
3.5 
3.4 
3.4 
3.5 
3.4 
3.4 
3.5 
3.4 
3.5 
3.4 
3.4 
3.5 
3.4 
3.5 
3.4 
3.4 
3.5 
3.4 
3.5 
3.4 
3.5 
3.4 
3.5 
3.4 
3.5 
3.5 
3.4 
3.5 
3.4 
3.5 

d-l' 


co-sm. 


9.9944180 

4f46 


20 
10 


5o 
4o 
3o 
20 
10 
48' 
5o 
40 
3o 
30 
10 


5o 

40 
3o 
20 
10 
146' 
5() 
40 
3o 
20 


4lI3 

4078 

4o44 
4oio 
9.9943975  49' 
3941 
3907 
3873 
3839 
38o5 

9.9943771 

3737 

3703 

3669 

3635 

36oo 
9.9943566  47' 

3532  " 

3498 

3464 

3430 

3395 
9.994336 

3327 

3293 

3258 

3224 

3190 
9.9943 1 56 

3l21 

3087 

3o53 

3oi8 

2984 
9.9942950 

2915 

3881 

2846 

2812 

2778 
9.9942743 

2709 

2674 
3640 
3606 

3571 
9.9942537 

25o2 

3468 
3433 
2399 
2364 
9.9942330 
2295 
3360 
3336 


5W 

5o 
4o 
3o 


319 

3137 
9.9943132 


10 

45' 
5o 
40 
3o 
30 
10 

44' 
5o 
4o 
3o 

30 
10 

^3' 
5o 
40 
3o 
30 
10 

m' 

5o 
4o 
3o 
20 
10 
41' 
5o 
4o 
3o 
30 
10 
140' 


Bin. 


990 


8OO 


214 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


#0 


1700 


■tn. 


190 
lo 
30 
3o 
4o 
5o 
21 
10 
30 
3o 
4o 
5o 

Id 

30 

40 

•3 
-to 

M 

4o 
5o 

10 
20 

3o 
40 

5o 
95' 
10 
20 
3o 
40 


9.2099917 
210  1198 
210  2479 
2103759 
aioSoSo 
a  10  63 18 


di£  i" 


1 28. 1 
1 28. 1 
128.0 
1 28.0 
127.9 
127.9 


9.2107597    ;g 
2108875'^^-° 


127.9 
1 27.7 
127.8 

127.7 
1 27.7 
127.6 
1 27.6 

1 27.5 

I2>.5 

127.5 
127.4 
127.4 
127.4 
127.3 
127.3 
127.2 
127.2 
127.2 


211  01 54 

an  i43i 

311  3700 
211  3980 

9-2  11  5263 
311  6530 
an  7815 
311  9090 
3i3o365 
at  a  i64o 

9.212  3914 
ai24i88 
a  1 2  546a 
2136715 
212  8008 

2 1 2  9280 

9.213  o55> 
2f3  i8:?4 

31 

213  4366 


co-«ee. 


taaf. 


2i3  56371"^-* 

2136907 '^^'^ 
9.213  8176 

2139446 

ai407i5 

3i4  19B3 

ai4  3252 

5o|  a]4  45i9 

116  9.2145787 

10  ai4  7o54 

20  2i4^3m 

3o  2149587 

4©  ai5o853 

5o  ai5  2!r8 

•27' 9.215  3384 

10  31 5  4648 

ao  3155913 

36    3157177 

4o  2i5  844i 

5o  3159704 

®d' 9.3160967 

10  ai6  3329 

30  316  3401 

3o  3164753 

4o  2i66oi5 

So  2167276 

29^9-216  8536 

10  2169797 

30  217  io56 

3o  2172316 

4o  2173575 

5o  217  4834 

3(1' 9.2176092 


CO-Sll). 


1369 
127.0 
126.9 

126.8 

1 26.9 

136.7 
136.8 
136.7 
126.7 
1266 
126.6 
I  ^6.5 
126.6 

126.4 
126.5 
136.4 
136.4 
136.3 
ia6.3 
ia6.a 
136.3 
ia6.2 
1 26.a 
126.1 
126.0 
126.1 
125.9 
1 26.0 
125.9 

125 

125 


1 


ditl" 


10.7000083 

789  8803 
789  752 1 
7896241 
7894961 
789  3682 

10.789  24o3 
780  I  1 25 
788  9846 
7888569 
788  7291 
7886014 

10.788  4737 
788  3461 
7882185 
7880910 
787  035 
787  836o 

10.787  7086  9 
7875812 
787  4538 
787  3265 
787  1992 
787  0720 

10.786  o448 
7868176 
7866905 
786  5634 
786  4363 
786  3093 

10.786  1824 
786  o554 
785  9285 
7858017 
785  6748 
7855481 

10.7854213 
785  2946 

7851679 
785  04 1 3 

784  9147 
784  788' 

10.7846616 
784  5352 
784  4087 
784  2823 
784  1559 
7840396 

10.783  9033  9 
783  7771 
783  65o9 
783  5347 
783  3985 
783  3734 

10.783  i464 
783  oao3 
782  8944 
782  7684 
78a  6425 
78a  5i66 

10.782  3908 


(.2157795 
2159111 
3160436 
2i6  1741 
3i63o55 


2164369 
583 


S4>€. 


.216  568 
2166096 
3168J09 
2169621 
3170933 
217  2245 
.2173556 
2174867 
2176178 
2177488 

2 1 7  8798 
2180108 

1.218  1417 

218  3726 
3i8  4o34 
2185342 
2i8  665o 
3187957 

).ai8  9264 
2190570 
2191876 
2193183 
2194488 
2195793 

(.2197097 
3198401 
2199705 
aao  1009 
220  23 1 2 
22o36i5 

.2204917 
2206219 
3307521 
3308822 

221  OI23 
331  1434 

.331  3734 
331  4o34 
321  5334 
321  6623 
231  7921 
331  9220 

.322  05l8 
233  l8l5 
333  3ll3 
3324410 
323  5706 
323  7002 

■  323  8298 

222  9594 
2230800 

223  2l83 
223  3478 
233  4772 

.323  6o65 


dif.i" 


i3i.6 
i3i.5 
i3i.5 
i3i.4 
i3i.4 
i3i.4 
i3i.3 
i3i.3 

l3l.2 

i3t.a 

l3l.3 

i3i.i 

i3i.i 

i3i.i 

i3i.o 

i3i.o 

i3i.o 

1 30.9 

130.9 

i3o.8 

i3o.8 

i3o.8 

i3o.7 

i3o.7 

i3o.6 

i3o.6 

]3o.6 

i3o.6 

i3o.5 

i3o.4 

i3o.4 

i3o.4 

i3o.4 

i3o.3 

i3o.3 

i3o.2 

i3o.2 

i3o.2 

i3o.i 

i3o.i 

i3o.i 

i3o.o 

i3o.o 

i3o.o 

129.0 

129,8 

129.0 

129.8 

129.7 

129.8 

129.7 

139.6 

139.6 

139.6 

129.6 

129.5 

129.4 

129.5 

139.4 

139.3 


co-tang. 


wc. 


co-tang.    UUCl" 


10.784  23o5  10 
784  0889 
783  9574 
783  8259 
7836945 
783  563 1 

10.7834317  10 

783  3oo4 
783  1691 
783  0379 

7829067 

782  7755 
10.782  6444  10 

78a5i33 
78a  38a  a 

783  25 1 2 

782  1302 
78198 

10.781  8583  10 
781  7374 
781  5966 
781  4658 
781  335o 
781  3043 

10.781  0736  10 
780  943i) 
7808134 
7806818 
78o55i3 
780  4307 

10.780  2oo3  10 
780  1599 
780  0395 
7798991 

7797688 

779  6385 

10.7795083  10 

779  3781 

779  2479 
779  1 178 

7789877 

778  0576 

10.7787376  10 

7785976 

778  4676 

778  3377 

778  3079 

778  0780 

io.777  9483  10 

7778185 

7776887 

777  5590 

777  4394 

7772998 
10.777  1702  10 

7770406 

776  91 1 1 

776  7817 

7766522 

776  5228 
10.7763935  10 


taog. 


.0057878 
7913 

7947 
7983 
8016 
8o5i 

.oo58o86 
81 30 
8i55 
8190 
8334 
8259 

.0058294 
8339 
8363 
8398 
84j3 
8468 

i.oo585o3 
8537 
8572 
8607 
8643 

8677 
.005871 1 

8746 
8781 
8816 
885i 
8886 

.005892 1 
8956 
899, 
9026 
9(.i6i 
9095 

.00591 3o 
9165 
9200 
9335 
9270 
9306 

.0059341 
9376 
9411 
9446 
9481 
9516 

.0059551 
9586 
9621 
9656 
9693 
9727 

.0059763 

9797 
9832 

9867 

9903 

9938 

.0059973 


d.1' 


3.5 

3.4 

3.5 

3.4 

3.5 

3.5 

3.4 

3.5 

3.5 

3.4 

3.5 

3.5 

3.5 

3.4 

3.5 

3.5 

3.5 

3.4 

3.5 

3.5 

3.5 

3.5 

3.5 

3.4 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.4 

3.5 

3.5 

3.5 

3.5 

3.5 

3.6 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.5 

3.6 

3.5 

3.5 


co.«in. 


9.994 


9.9943122 
2087 

2o53 
2018 

984 

949 

914 

880 

845 

810 

776 

74 

706 

671 

637 

603 

567 

532 

498 
463 
428 
3 


9994 


9.994 


9994 


9-994 


254 
219 
184 
149 
ii4 
079  35 


40' 

5o 
40 
3o 
20 
in 
3!) 
5o 
4o 
3( 
20 
10 
38 
5o 

4o 

3o 

30 

It) 

i7 

So 

40 

3o 

20 

10 


358 

333 

38986' 
"  5o 
40 
3o 
20 
10 


o44  So 

009  40 

0974  3o 

0939  20 

0Q05  10 

9.9940870  W 
o83S  So 
0800  4o 
0765  3o 
0730  20 
0694  10 

9.9940659  33' 


0624 
0589 
o554 
o5i9 
o484 
9.9940449 
o4i4 


3.5 
3.5 
3.5 
3.6 
3.5 
3.5 


I 


co-tec. 


d.l" 


o379 

o344 

o3c8 

0373 

9.9940238 

0303 

0168 

01 33 

0097 
0063 
9.9940037 


■in. 


So 
4o 
3o 
20 
10 

32' 
So 
4o 
3o 
20 
10 

31' 
So 
4o 
3o 
20 
10 

30 


»»*» 


8O0 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


215 


»« 


ITOo 


30» 
10 
30 
3o 
40 
So 
31' 
10 
30 
3o 
4o 
So 
32 
10 
20 
3(i 
4o 
So 
:W' 
10 

30 

3o 

4<> 
So 
M 
10 
20 
3o 
40 
5<) 
:J5' 
10 


im. 


diil" 


30 

3o 
4o 
So 

36 
10 
30 
3o 
4o 
So 

37' 
10 
20 
3o 
40 
So 

38 
10 
30 
3o 
40 
So 

10 
20 
3o 

4o 
So 
40' 


9.3176093 

317  735o 
3178608 
3179865 

3l3  1132 

3i8  2379 
218  3635 
218  4891 
3186146 
218  74oi 

318  8656 

318  9910 
9.319  it64 

319  2417 
2193671 
3194923 
3196176 
3197428 

9.2198680 
2199931 
220  1 182 
aao  2433 
220  3683 
3204932 

9.2206182 
220  743 1 
2  30  8680 

320  9928 

331  1176 

331  2424 

9.331  3671 

321  4918 

331  6164 
321  7410 
221  8656 
221  9902 

9.222  ll47 

332  2391 
233  3636 

333  4880 
3336123 

332  7366 

9-223  8609 
323  98S2 
233  1094 
323  2336 
233  3577 
3234818 

9.2236059 
223  7299 

223  8530 

223  9778 

224  IOI8 
224  23S6 

9.224  3495 
224  4733 
324  5971 
224  7208 
234  8445 
2249682 

9.2250918 


co-fin. 


co-sec. 


25.8 
25,8 
25.7 
35.7 
35.7 
25.6 
25.6 
25.5 
2S.5 
25.5 
25.4 
25.4 
35.3 

25.4 
35. 2 
35.3 

35.3 
25-3 

25.1 
25-1 
35-0 

35.1 
24.9 
aS-o 
34-9 
34.9 
24.8 
24.8 
24.8 
24.7 
24.7 
24.6 
24-6 
34.6 
24.6 
24.5 
34.4 
24-5 

34-4 
34.3 
343 
24.3 
24.3 
34.3 
24.2 

24- 1 
34-1 
34-1 

34.0 

24-0 

23.9 
24.0 
23.8 
23.9 
23.8 
23.8 
23.7 
23.7 
33.7 
33.6 


XO.783  3908 
782  265o 


783  139 
)i3 


ung. 


3 
7820135 
781  8878 
781  7621 

10.781  6365 
781  5109 
781  3854 
781  3599 
781  i344 
781  0090 

10.780  8836 
780  7583 
780  6329 
780  5o77 
780  3824 
780  3573 

10.780  1 320 
7800069 
7798818 
779  7568 
7796317 
779  5o68 

10,7793818 
779  2S69 

779  1 320 

779  0072 
778  8824 
778  7576 
10.778  6329 
778  5o83 
778  3836 
778  3590 

778  1 344 
7780098 

10.777  8853 
777  7609 
777  6364 
777  5 1 20 
777  3877 
777  3634 

10.777  1391 
7770148 
776  8906 
7767664 
776  6423 
7765183 

10.776  3941 
776  3701 
776  i46i 
7760222 
775  8982 
775  7744 

10.775  65oS 
775  5267 
775  4029 
775  27 
775  i5 
775o3i8 

10.774  9083 


di£l" 


di£r 


■ec 


.333  6o65 

333  73S9 
233  8652 

223  9944 

224  1236 

234  2528 

.224  3819 
3345III 

334  64oi 
334  7693 
334  898a 
3350271 
.225  i56i 

225  2849 

235  4i38 

325  5436 

3356714 

335  8001 
t.325  9289 

3260S75 

326  1862 

226  3i48 

236  4433 

3365719 
1.226  7004 

2268288 

2269572 
337  o856 
337  3i4o 

327  3433 
1.3374706 

337S988 
337  7370 
327  8552 

227  9833 

228  iii4 

>.228  2395 

228  3675 

228  495s 
228623s 
2287514 
2288793 

).229007I 

229  i35o 
229  2627 
2293905 
229  Si82 
22964S9 

^.2297735 

229  901 1 

230  0287 
23o  i562 
23o  2837 
23o4ii2 

^.33o  5386 
33o666o 
33o  7933 

230  9207 

23 1  0479 
33i  1752 

3.23 1  3o24 


CO- tang. 


139.4 
129.3 
129.3 
129.3 
129.2 
129.1 
129.2 
139.0 
129.1 
129.0 
128.9 
129.0 
138.8 

128.9 
128.8 

138.8 

138.7 
138.8 
128-6 

138.7 
138.6 
128.5 
128.6 
128.5 
128.4 
128.4 
128-4 
128.4 
128.3 
128.3 
128.2 
128.2 
128.2 
1 38. 1 

I38.I 

128. 1 

128.0 
128.0 
128.0 

127.9 
127.9 

137.8 
1279 

127.7 

137.8 

127.7 
127.7 

127.6 
127.6 
127.6 
127.5 
127.5 
127.5 
127.4 
1274 
137.3 

1274 

127.2 
127.3 
127.2 


sec. 


eo-tang. 


10.776  393s 
776  2641 
7761348 
7760056 
77S  8764 
775  7472 

10.7756181 
775  4889 
7753s 
775  23 
775  IOI8 

774  9729 

10.774  8439 
77471S1 
774  5862 
774  4S74 
774  3286 
774  1999 

10.774  071 1 
773  942S 
773  81 38 
773  6852 
773  SS67 
7734281. 

10.773  2996 
773  1712 
773  0428 
772  9144 
772  7860 
772  6577 

10.772  5294 
772  4oi2 
772  2730 
772  1448 
772  0167 
771  8886 

10.771  7605 
771  6325 
771  5o4S 
771  3765 
771  2486 
771  1207 

10.770  9939 
770  86S0 
770  7373 
770609S 
7704818 
770  3541 

10.770  3265 

7700989 
769  971 J 
7698438 
7697163 
769  5888 

10.7694614 
769  3340 
769  3067 
769  0793 
7689521 
768  8248 

10.768  6976 


10 
10 


10 


d.l" 


10 


10 


10 


10 


10 


10 


0059973 
.0060008 

oo44 
0079 

0114 
0149 

.0060185 
02  30 
0255 
0291 
0326 
o36i 

.0060397 
0432 

0467 
o5o3 
o538 

0574 
.0060609 

0644 
0680 
0715 
0751 
0786 
.0060822 

o857 
0893 
0928 
0964 
o9og 
.0061035 
1070 
1106 

Il42 

1177 

I2l3 

.0061 248 

1284 

1 320 
i355 
1391 
1436 
.0061462 


cq-8in. 


359.9940027 
3^9.9939992 

3.5 


3.5 
3.5 
3.6 


99S6 

99?^ 

9886 

9851 
3  5 999398 '5 
^'^  9780 
9745 
9709 
9674 

o9^^? 
9.9939603 

9568 


10 


dif.r 


10 


tang. 


10 


1S69 
i6o3 
i64i 
.0061676 
1712 
1748 

1784 
1819 
18SS 

.0061891 
1937 
1963 
1998 
2o34 
2070 

.0062106 


3.5 

3.6 

3.5 

3.5 

3.6 

3.5 

3.5 

3.6 

3.5 

3.6 

3.5 

3.5 

3.6 

3.5 

3.6 

3.5 

3.6 

3.5 

3.6 

3.5 

3.6 

3.5 

3.6 

3.5 

3.6 

3.6 

3.5 

3-6 

3-5 

3-6 

3-6 

3.5 

3.6 

3.5 

3.6 

3.6 

3.6 

3.5 

3.6 

3.6 

3.5 

3.6 

3.6 

3.6 

3.5 

3.6 

3.6 

3.6 

3.6 

3.5 

3.6 

3.6 

3.6 


9533 

9497 
9462 
9426 
9.993939 
9356 


9320 
9285 
9249!  20 


30' 

So 

40 

3o 

20 

10 

29' 

So 

4o 

3o 

20 

10 

28' 

So 

4o 

3o 

20 

10 

27' 

So 

40 

3o 


9214 
9.9939178 
9143 
9107 
9079 
9o36 
900 
9.9938965 
8930 
8894 
8858 
8823 

8787 
9.993875? 
8716 
8680 
864S 
8609 

8574 

9.9938538 

85o2 


\ 


co-sec. 


8466 
843 1 
8395 
8359 

9.9938324 
8288 
8252 
8216I 
8181 
8i4S 

9.9938109 
8073 

8o37 
8002 
7966 
7930 
9.9937894 


d.1" 


10 

26 
So 
4o 
3o 
20 
10 

2.5 
5o 
40 
3o 
20 
10 

24' 
So 
4o 
3o 
20 
10 

2:^ 
So 
40 
3o 
20 
10 

22' 
So 
4o 
3o 
20 
10 

21 
5o 
40 
3o 

20 
10 

20 


■lU. 


990 


80° 


216 


90 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


1700 


40' 

lO 

■0M3' 

4o 
.So 
41 

lO 

ao 

3o 
4o 


•in. 


lO 

30 

'3o 
4o 
So 
4^ 

10 

20 

3o 

lO 

3o 
4o 

10 
30 

3o 

4o 

So 

46' 

lO 
30 

3o 
4o 

So 
47' 

lO 
20 

3o 

4o 

'5o 

48' 

lo 

ao 
3o 
4o 
So 
4^ 

lO 
20 

3o 
4o 
5o 


9.2350918 

225  a  1 54 
aaS  3390 

3'2S462S 

225S860 
aaS  7094 
9.225  8328 
325  9562 
aa6  0795 
3a6  2028 

226  3261 
aa64493 

9-a'a6  572$ 

226  6957 
2268188 
2269419 
327o65o 

327  1880 
9.22731 10 

227  4339 
227  5568 

227  6797 
337  8025 

327  9253 
9.2280481 

228  1708 
228  2935 

328  4162 
328  5388 
3286614 

9.2287839 

228  9064 
2290289 

229  i5i4 
229  2738 
229  3962 

9.2295185 
2296408 
2297631 

229  8853 

230  0075 
23o  1297 

9230  25 1 8 
23o  3739 

230  4o5o 

23o6l7V 
3307399 
a3o86i9 

9.230  9838 
a3i  io57 
a3i  2275 
a3i  3493 
a3i  4711 

23 1  5928 

9.231  7 1 45 
23 1  8362 


diCr* 


123 

123 

123 

123 

123 

123 

123 

123, 

123, 

123. 

123. 

123. 

123 

123 

123 

123 

123 

123 

122 

122 

122 


1 32 

122 

123 

122 

122 

122 

122 

122, 

122, 

122, 

122, 

122. 

123 

123 

122 

132 

123 

122 

122 

122 

122 

123 

[22 

123 

122, 

121, 

121 

131 

121 

121 

111 

121 

121 

23i9578jJ^; 

lai 
121 
121 


.6 

.6 

.5 

.5 

.4 

4 

4 

.3 

.3 

.3 

.2 

.2 

,2 

.1 

I 

.1 

.0 

.0 

9 
9 

:l 

.8 

.8 
.7 
•7 
•7 
.6 
-6 
.5 
.5 
.5 
.5 

.4 
.4 
.3 
.3 
.3 
.2 
.2 
.2 
.1 
.1 
.0 
.0 
.0 
o 


ei>-me. 


t«iif. 


23a  0794 

232  3010 
232  3225 

9.2324440 


oo-iin. 


dif.  I" 


10.774  9082 
7747846 
774  66io 
774  537S 
7744i4o 
7742906 

10.774  1072  9, 
774  o438 
773  9205 

773  7972 
773  6739 
773  55o7 

10.773  4275I9. 
773  3o43 
773  1812 
773o58i 
772  o35o 
7728120 

10.773  6890 
772  566i 
772  4432 
772  32o3 
772  1975 

7720747 

10.771  9519I9 

771  8202 

771  7065 

771  5838 

771  4612 

.  7713386 

10.771  2161 

771  0936 

770  971  r 

770  8486 
770  7262 
770  6o38 

10.7704815 
770  3593 
770  2369 
770  1147 
7690925 
7698703 

10.7697482 
7696261 
7695041 
7693821 
769  2601 
769  i38i 

10.7690162 
7688943 
768  7735 
768  65o7 
7685289 
768  4072 

10.768  2855 
768  i638 
7680422 
767  9206 
7677990 
7676775 

10.767  556o  9. 


diCI" 


■ee. 


.23 1  3o34 

33 1  4206 
23 1  5507 
23i  6838 
a3i  8109 

23 1  9380 

232  o65o 

232  I919 

3333189 

332  4458 

232  5726 
2326905 

a32  8263 

232  9530 

233  Orf*/j 

233  3u64 

333  333 1 
233  4597 
.233  5863 
2337128 
233  8393 

233  9658 

234  0923 
2342187 
2343451 
2344714 

334  5977 
a34  7240 
a34  85o2 
3349764 

335  1026 

235  2287 
235  3548 

335  4809 
2356069 
235  7329 
.235  8580 

235  9848 

236  1107 
236  2366 

336  3624 
3364882 
.236  61 39 
336  7397 

236  8653 
2369910 

237  1166 
23724221;^^" 
237  3678  "1^ 


127.3 
127.1 
127.1 
127.1 
127.1 
1 37.0 
1 36.9 
127.0 
126.0 
126.8 
126.9 
126.7 

136.8 
136.7 
136.7 
126.7 
1 26.6 
126.6 
126.5 
126.5 
126.5 
126.5 
126.4 
126.4 
126.3 
126.3 
126.3 
126.2 
126.2 
136.2 
126.1 
126.1 
1 26. 1 
126.0 
126.0 
126.0 
135.9 
1 35.9 
125.9 
125.8 
125.8 
125.7 
135.8 
135.6 
125.7 
125.6 
12S.6 


eo-taag* 


•ec.         d.!"      e«Hiin. 


2376188 


125.4 


125  4 


2377443 

238??o3|-5.3 

238  2457  '2-f 
238  3709l"2? 
338  49621;^^'^ 
238  6214! "c"^ 
238  7466"^' J 
2388717"^'' 


CO-UUIf. 


diCl" 


10.768  6976 
768  5704 
7684433 
7683162 
768  1891 
768  0620 

10.767  o35o 
7678081 
7676811 
767  5542 

767  4274 
7673005 

10.767  1738 

767047H 
766  9203 

7667936 
7666660 
766540J 
10.7664137 
766  2873 
766  1607 
766  0342 

7659077 
7657813 

10.765  6549 
765  5286 
765  4o23 
765  2760 
765  i4o8 
7650236 

10.764  8974 
764  77'3 
764  6452 
764  Sioi 
764  3o3i 
7642671 

10.764  i4ii 
7640153 
763  8893 

7637634 
763  6376 
763  5ii8 
10.763  386i 
763  26o3 
763  1347 
7630090 
762  8834 

762  7578 

10.762  6322 

763  5067 
762  38 1 2 
762  2558 
762  i3o4 
762  oo5o 

10.761  8797 
761  7543 
761  6201 
761  5o38 
761  3786 
761  2534 

10.761  1283 


9.9937804 

7858 
7832 
7786 
775o 
77i5 
9.9937670 
7645 
7607 

7571 
7535 

9.9987463 

7427 
73oi 
7355 
7319 
7383 

9.9937247 

7211 

7175 
7139 
7102 
7066 

9.9937080 
6994 
6958 
6922 
6886 
6840 

9.9936813 
6777 
6741 
6705 
6669 
6632 

9.9986596 
656o 
6524 
6487 
645 1 
64i5 

9.9986878 
6343 
63o6 
6269 
6333 

6197 
9.9986160 

6134 
6088 
6o5i 
6oi5 
5978 
9.9935942 
5906 
5869 
5833 

5796 
5760 
9.9985728 


co-sec.   d.!"    im. 


20' 

5o 

40 

3o 

20 

10 

19' 

5o 

40 

3o 

20 

10 

18 

5o 

4o 

3o 

20 

10 

17' 

5o 

4o 

3o 

30 
10 

16' 

5f) 
40 
3o 
20 
10 
15' 
5o 
4o 
3o 
20 

lOl 

14 

5o 
4o 
3o 
20 
10 
13' 
5o 
4o 
3o 
20 
10 
12' 
5o 
4o 
3o 
20 
10 
II 
5o 
do 
3o 
20 
10 
10' 


990 


80' 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


217 


90 


ITOo 


50' 

10 
20 
3o 
4o 
5() 

51 
10 
30 
3o 
40 
5o 

52 
10 
20 
3o 
40 
5o 

5:i' 
10 
20 
3o 
40 
5o 

54' 

lO 

20 
3o 
40 
5o 
55' 

TO 
20 

3o 

4o 
5o 
56' 
10 
20 
3o 
4o 
5o 
57' 
10 
20 
3o 
4o 
5o 
58' 
10 
20 
3o 
40 
5o 
59' 
10 
20 
3o 
4o 
5o 
60' 


■m. 


9.282  4440 
282  5655 
282  6869 
282  8o83 
23i  9296 
233  ()5io 

9  233  1722 
233  2935 

233  4'47 
288  5359 
2336570 

233  7781 
9.288  8992 

234  0202 
234i4i3 
234  2622 
284  3832 
284  5o4i 

9.284  6249 
234  7458 

234  8666 

284  9873 

235  1080 
235  2287 

9.285  3494 
235  4700 

285  5906 
2857112 

235  8317 
2359522 

286  0725 

286  1980 
28681 34 

236  4338 
236  554r 

236  6744 

9.286  7946 
2869148 

237  o35o 

287  i55i 

287  275j! 

287  3953 

9.287  5 1 53 
287  6854 
287  7553 
287  8753 

287  9952 

238  1 1 5o 

9.288  2849 
238  3547 

288  4744 
238  5942 

288  7189 
238  8335 

9.288  9582 
2890728 

289  1928 
2398118 
2894318 
289  55o8 

9.2896702 


co-8in. 


dif.!' 


21.5 
21.4 
21.4 
21.3 

21.4 

21.2 
21.3 

21.3 
21.2 
21. 1 
21. 1 
21. 1 
21.0 
21. 1 
20.9 
21.0 
20. 
20. 
20. 
20. 
20.7 
20.7 
20.7 
20.7 
20.6 
20.6 
20.6 
20.5 
20.5 
20.4 
20.4 
20.4 
20.4 
20.8 
20.3 
20.2 
20.2 
20.3 
30. 1 
20.1 
301 
200 
20.I 
19.9 
20.0 
9.9 
9.8 

99 

9.8 

9-7 
9.8 

9.6 

9.6 
9.5 

9.5 
9-4 


diCl' 


co-sec. 


10 


10 


10 


10 


10. 


10 


10 


10 


10 


10 


10 


.767  556o 
767  4345 
767  3i3 

767  191 

767  0704 
7669490 
.766  8278 
7667065 
766  5853 

7664641 
766  3430 
766  2219 
,766  1008 
765  9798 
765  8587 
765  7878 
7656168 
765  4959 
.765  8751 
765  2542 
765  i834 
7650127 
764  8920 
7647718 
764  65o6 
764  58oo 
764  4094 
764  2888 
764  i683 
764  0478 
.768  9274 

768  8070 
763  6866 
768  5662 
768  4459 
768  3256 
.768  2o54 
768  o852 
762  9650 
762  8449 
762  7348 
762  6o47 
.762  4847 
762  8646 
762  2447 
762  1247 
762  oo48 
761  885o 
.761  765 1 
761  6458 
761  5256 
761  4o58 
761  2861 
761  i665 
.761  0468  9 
760  9272 
760  8077 
7606882 
760  5687 
760  4492 
.760  8298 


lec. 


tang. 


1.288  8717 
2889968 
289  1319 
289  2469 
289  37 1 9 

289  4969 

1. 289  63 1 8 
289  7467 
2398716 
2899964 

240  12l3 

240  2460 
.240  8708 
240  4955 
2406201 
240  7448 

240  8694 
2409989 

1.241  ii85 

241  2480 
241  8674 
241  49  r 
241  616 
241  7406 

1. 24 1  865o 
241  989 
u3l 


'3 
242  u35 
242  2878 
242  8620 
242  486i 
).242  6108 
242  7343 
242  8584 

242  9824 

243  io64 
243  23o4 

1.243  3543 
243  4782 
2486021 
243  7259 
243  8497 

243  9735 
1.2440972 

244  2209 
244  3446 
2444682 
244  5918 
2447154 

f.244  8889 

244  9624 

245  0859 
245  209J 
245  8827 
245  456i 
.245  5794 
245  7027 
245  8260 

245  9498 

246  0725 
246  1956 

1.2468188 


990 


co-tang. 


28 


ditl" 


25.1 
25.1 

25.0 
25.0 
25.0 
24.9 
24.9 
24.9 
24.8 
24.9 

24.7 
24.8 
24.7 
24.6 
24.7 
24.6 
24.5 

24.6 
24.5 

24.4 
24.5 
24.4 
24.3 
24.4 

24.3 
24.2 

24.3 

24.2 

24.1 

24-2 
240 
24-1 
24-0 

240 
24.0 
28.9 
28.9 

23. 

28. 
28.8 

23.8 
28.7 
28.7 
23-7 
23.6 
28-6 
23.6 

28.5 
28.5 
28.5 
28.4 
28.4 
28.4 
28.3 

23.3 
28.3 
28.3 
28.2 
28.1 
28.2 


di£l" 


co-tang. 


sec. 


10 


10 


10 


10 


10 


10 


10 


10 


10 


10 


10 


,761  1283 
761  0082 
7608781 
7607581 
7606381 
760  5(j3  I 
.760  8782 
760  2533 
760  1 284 
7600086 

7598787 
759  7540 
.7596292 
759  5o45 
759  8799 

759  2552 

759  1806 
7590061 
.7588815 
758  7570 
758  6826 
758  5o8i 
758  3837 
758  25 
.758  1 3 
758  0107 
757  8865 
757  7622 
757  638o 
757  5 139 
,757  3897 
757  2657 
757  i4i6 
7570176 
756  8986 
756  7696 
756  6457 
756  5218 
756  3979 
756  2741 
756  i5o8 
756  0265 
.755  9028 
75577 
755  6554 
755  58 18 
755  4082 
755  2846 
755  1611 
755  0376 
7549141 
754  7907 
754  6678 
754  5489 
.754  4206 
754  2978 
754  1740 
754  o5o7 
753  9275 
753  8044 
.7536812 


10.0064277 
43i3 
435o 
4386 
4428 
4459 

10.0064496 
4533 
4569 
4606 
4642 
4679 

ro.00647 1 5 
4752 
4789 
4825 
4862 
4899 

10.0064935 
4972 
5009 
5o45 
5082 
5119 

io.oo65i56 
5192 
5229 
5266 
53o3 
5340 

10.0065376 
54i3 
545o 

5487 
5524 
556i 

10.0065597 
5684 
5671 
5708 
5745 
5782 

io.oo658r9 
5856 
5893 
5930 

5967 
6004 

1 0.006604 1 
6078 
6ri5 
6i52 
6189 
6226 

10.0066263 
63oo 
6887 
6874 
64ii 
6448 

ro.oo66485 


d.l" 


tang. 


co-sec 


3.6 
3.7 
3.6 

3.7 
3.6 

3.7 


co-8in. 


9.9935723 
5687 

565o 
56i4 
5577 
5541 
3[^'9.99355o4 


3.6 

3.7 
3.6 

3.7 
3.6 

3.7 
3.7 
3.6 

3.7 
3.7 
3.6 

3.7 

3.7 
3.6 

3.7 

3.7 
3.7 
3.6 

3.7 
3.7 
3.7 
3.7 
3.6 
3.7 
3.7 
3-7 
3-7 
3-7 
36 

3-7 
3-7 
3-7 
3.7 
3.7 
3-7 
3.7 
3.7 
3.7 
3.7 
3.7 
3.7 

3-7 
3.7 

3.7 
3.7 
3.7 
3.7 

3.7 
3.7 
3.7 

3.7 

3.7 
3.7 

d.l' 


5467 
543 1 
5394 
5858 
5321 
'9.9935285 
5248 

521 1 

5175 
5i38 
5ioi 

9.9985065 
5028 
4991 
4955 
4918 
488 1 

9.9984844 
4808 
4771 
4734 
4697 
4660 

9.9984624 
4587 
455o 
45i8 
4476 

4439 

9.9984408 
4366 
4329 
4292 
4255 
4218 

9.9934181 
4i44 
4107 
4070 
4o83 
8996 

9.9933959 
8922 
3885 
3848 
38ii 
3774 

9.9988737 
3700 
3663 
3626 
3589 
3552 

9.9933515 


sin. 


10' 

5o 

4o 

3o 

20 

10 

9' 

5o 

40 

3o 

20 

10 

8' 

5o 

40 

3o 

20 

10 

7' 

5o 

4o 

3o 

30 
10 

6' 

5o 

40 

3o 

20 

10 

5' 

5o 

40 

3o 

20 

10 

4' 

5o 

40 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

10 

2' 

5o 

40 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 

0' 


8O0 


s 


218 


LOGARITHMIC     SIN&S,   TANGENTS,    &C 


1690 


mn. 


Iif.l" 


<90->e€« 


13   ^^^Z??3..'4 


4o 


1' 

lO 

30 

Bo 
40 

10 

atj 
3o 
4o 

9 

10 

30 

4o 

5o 

4' 

lo 

90 

OPLI 


246  baS3 
240  1476 

340  a6fi9 

9.340  38$] 
240  5o63 
a4o  6344 
2407436 
240  8636 

240  ^17 
9.241  IG07 

341  2107 
a4i  3387 
a4i  4576 

241  5765 


!i'S953;;°5 


9'34i  8i4t 
241  0839 

242  05l7 

342  1704 

243  2891 

2424077 

9.242  5264 


9i 

119.3 
1 19.3 
119.3 
1 19.3 
ir9.a 

1 19.1 

1 19.2 

1 19.0 

1 19.1 
1 19.0 
119.0 
1 19.0 
1 18.9 
1 1 8.9 
1 18.8 


243  6449  ;  is."^      7573551 


118.8 
118J 
118.7 
1 18.7 
1 18.6 
118.7 
118.5 


10.7603398  9.246  3i88 
7602104    3464419 


7600910 
7599717 
759  8534 
7597331 


7594947 
7593756 

7593564 
7591374 
7590183 


dMLl" 


346  565o 
2466880 
24681 10 
3469340 


10.7596139  9.247  0569 


KX758  8993  9.347  7939J' 
758  7803  347  9»6g  , 


247  1798 
2473027 
247  4355 
347  5484 
3476711 


243  7635 
242  8830 
4ci|  343  oooS 
So  343  1190 
S*  9.3433374 
10  2433558 

30  2434741 

3o  3435924 

4a  343  7107 
5o  343  8390 
6*  9-3439473 
10  244  o654 
ao  244 1835 
3o  a44  3oi7 
4o  9444197 
5o  244  5378 
7'  9.2446558 
10  344  7736 
20  2:44  8^ii 
3o  245  0097 
4o  245  1276 
5o  2.i5  2454 
&  9-345  3633 
10  3454810 

30   345  59B8 

3o  2457165 
4o  345  8343 
5o  345  951 
9/  9.346069 
10  3461871 
20  246  3o46 

30   2464333 

40  2465397 
Sol  3466571 


p 


10' 9.346  7746 


C:)-iJn. 


1 18.5 

1 18.5 
118 
ir8.4 
fi8.4 
fi8 
II  8.3 
1 18.3 
1 18.3 
1 18.3 
118.2 
ti8.i 
1 18.3 
1 18.0 
118.1 
1 18.0 
II  8.0 
II  8.0 
1 17.9 
1 1 7.9 
1 17.8 
1 1 7.8 
1 17.8 
1 17.8 
117.7 
117.7 
II  7.7 

1 17.6 
1 17.6 
117.5 
117.6 
117.5 
117.4 
117-5 


dif.1" 


758  66i3 
758  5424 

756  4235 
758  3o47 

10.756  1859  91248  5297 
758  0671  248  6622 
7570^83  2487747 
7578296  2488971 
7577109  2490196 

757  592  J  2491420J' 
ro.757  4736  912493643 

'  ~""  2493866 
3496089 
3496312 
249  7534 
2498756 


757  2365 
757  1 180 
7669995 
75688101 
ia756  7626  9^249  9978 
7566442  2501199 
756  SaSo 
7554076 
7562893 


756  1710 

10.7560528 

7559346 

755  8i65 
7556983 
7555803 
755  4622 

10.7553442 
755  22G2 
755  1083 
7549903 
7548734 
7547546 

10.7546368 
754  5190 
7544013 
754  3835 
754  i658 
754  o48i 

10.753  93o5 
7538139 
753  6954 
753  5778 
753  46<j3 
753  3429 


250  2420 
25o364i 
35o486i 
35o6o8i 

9.3507301 
25o852o 
2509739 
25i  0958 
25i  3176 
35 1  3394 

9.351  46f  a 
35 1  5836 
35 1  7047 

25 1  8264 
25 1  9480 
2530696 

9.253  1913 

2523128 
252  4343 

353  5558 
sSs  6773 
353  7987 

9.352  9200 

353o4i4 
253  1627 
253  284a 
3534o53 
353  5365 


10.753  3354  9.353  6477 


PCsC* 


123.1 
1 33. 1 
133.0 
I33.0 
133.0 

133.9 
133.9 

132.0 
I32J 
122.9 
122.7 

123.8 
23.7 
33.7 
33.6 


co-tuiy* 


3480393' 
348 I6I9 '  ^  >- 
246  3845  "-^ 
348  4071  111% 

133.5 
132 
133.4 
122.5 
123.4 
73.3 
>23.3 
133.3 
133.3 
122.3 
123.3 
122.2 
123.1 
133. 1 
132.1 
I32.0 
I33.0 
123.0 
I3I.9 
I3I.d 
I3I.O 
I3I.8 
T3I.8 
131.8 
131.8 
131.7 
131.7 
1 2 1. 6 
1 31. 6 
I3I.6 
131.6 
I3I.5 
131.5 
I3I.4 
I3I.5 
131.3 
121.4 
1 2 1. 3 
I2I.3 
1 21. 3 
121.2 
I3I.3 


■ec. 


et>4Mag. 


difcl" 


10.7536812 

753  558 1 
753435© 
7533120 
753  1890 
7S30660 
10.753  o43i 
763  8202 
7536973 
7^2  5745 
7524516 

752  3289 
iO'.752  2061 

753  0834 
75 1  9607 
75i  wBi 
75 1  7155 
75i  592 

10.7S1  470 
75 1  3478 
75i  3  253 
75i  1029 
7509804 
75o858o 

10.750  7357 
75061 34 
760  49T I 
75o3688 
7602466 

760  I2i^ 
MX75O  0022 

749  8801 

749  758o 
749  6359 
7496139 
7493919 

10.749  2009 
749  i48o 
7490261 
7489042 
748  7824 
7486606 

10.748  5388 
7484170 
748  2953 
748  1736 
748  0620 

747  9^04 

10.747  8088 

747  6873 

747  6667 

747  444^ 

747  3228 

7472013 

10.747  0800 

7469586 

7468373 

746716CJ 

746  5947 

7464735 

10.746  3523 


tU" 


10.0066485 
6S23 

656o 
6607 
6634 
6671 
100066708 

6746 
6783 
6820 

6857 

6894 

ro.0066932 

6969 

7006 

7043 

7081 

7118 
io.o®67i55 

7103 

7330 

7267 

73o5 

7343 
10.0067379 

7417 

7454 

7492' 

7629 

7666 
10.0067604 

7641 

7679 

7716 

7754 
7791 
•0.00678  99J  ^'^ 


co-nn. 


3  8  9.99^5 1 5 

3.7 

3.7 
3.7 


taog. 


7866 

7904 

7941 

79791 
80  r6 

io.o«68o54 
8092 
8139 
8167 
8204 
8242 

iO'.oo6828o 
83i7 
8355 
83o3 
843b 
8468 

iO'.oo685o6 
8543 
858i 
8619 
8656 
8694 

10.0068732 


3.7 
3.7 
3.8 
3.7 
3,7 
3.7 

3.7 
3.8 

3.7 
3.7 
3.7 
3.8 
3.7 

3-7 
3.8 

3,7 
3.7 
3.8 
3.7 
3.7 
3.8 
3-7 
3.8 
3.7 
3.7 
3.8 
3.7 
3.8 
3.7 
3.8 

3-7 
3.8 


60' 

3477  ^ 
3440  4o 
34o3  3o 
3366  20 


3329  10 
59' 


9-993320 
3317 


5o 

4o 

3i8o|3o 

3i43 


C<»-«fiC. 


3.8 

3-7 
3.8 

3.7 

3 

3.8 

3.7 

3.8 

3-7! 
3.8 

3.8 
3.7 
3.8 
3S 

3.7 
3.B 
3.8 
3.7 
3.8 
3.8 
3.7 
3.8 
3.8 


3io6 
9.9933068 

3o3i 

2994 

2967 

291^ 

2882 
9^9932846 

2807 

2770 

3733 

3696 

3658 
9.9932621 

2583 

2546 

25()8 

3471 
2434 
919932396 
3359J  5o 

3321 

2284 

3246 

2209 

9.9932171 

2i34 
3096 
3069 

2©2I 

1984 
^9931946 
1908 
1871 

i833 


20 

ID 

58' 
5o 
4o 
3o 
30 
10 
57' 
5o 
4o 
3o 
30 
10 
56' 
60 
40 
3o 
30 

TO 

5o 


1796 

1758 


9-9931720 
i683 


d," 


1645 
1607 
1670 
i532 
9.99314^4 

i4:)7 
1419 
i38i 

1 344 

i3o6 

9.9931 368 


4o 
3o 
30 
10 

54 
60 
40 
3o 
30 
10 

53' 
5o 
4o 
3c 

30l 
10 

■52 
5o 
4c) 
3o 
20 
10 
51' 
5o 
4o 
3b 
20 
10 
50' 


•IR- 


1000 


790 


LOGAEITHMIC     SINES,     TANGENTS,     &C. 


219 


io<» 


169° 


10' 
10 
20 
3o 
4o 
5o 
11' 
10 
30 
3o 
4o 
5o 
12' 
10 
20 
3o 
40 
5o 
13' 
10 
20 
3o 
40 
5o 
14' 
10 
20 
3o 
4o 
5c) 
15' 
10 

30 

3o 
4o 
5o 
16 

10 
20 
3o 
4o 
5o 
17' 
10 
20 
3(. 
4o 
5o 
IS' 
10 
20 
3c) 
4(' 
5(> 
19' 

ID 
20 

3o 

4o 

60 

20' 


■in. 


dif.  ] 


co-iec 


9-2467746 
2468019 

247o293;;^1 
2471266!!!, 
247  2439 

347  36c  2 

9.247  4784 
247  5966 
2477128 
247  8299 

247  9470 

248  0641 

9.248  181 1 
248  2981 
248  4i5i 
248  5321 
248  6490 
248  7658 

9.248  8827 

248  9996 

249  1 163 
349  333o 
249  3497 
249  4664 

9.249  583o 
249  6997 
2498162 

249  9328 

250  0493 
25o  i658 

9-25o  2822 
25o  3987 
260  5i5o 
25o63i4 

250  7477 

260  8640 

9.250  9803 

25 1  0965 

261  2127 
25i  3289 

25 1  445o 
261  6611 

9.251  6772 
25  [  7932 

261  9092 

262  0252 
262  i4ii 

252  2670 

9.262  3729 
262  4887 
262  6045 
262  72o3 

262  836i 
2529618  5 

9-"«^^5  5:^ 

253  i83i 

263  2987 
2634143 
263  6299 
253  6454 

9.263  7609 


1 1 7.3 

1 1 7-4 
117 
117 
1 17.3 
1 17.2 
117.3 

117. 2 

117.1 
117. 1 
117.1 
£17.0 
117.0 
117.0 
1 17.0 
116.9 

1 16.8 

1 16.9 
1 16.8 
1 16.8 
1 16-7 
116.7 

1 16.7 
1 16.6 
1167 

1 16.5 

1 16.6 
1 16.6 
116.5 
116.4 
116.5 

1 16.3 

116.4 

116.3 

116.3 

1 16.3 

116 

116-3 

116-3 

116-1 

ii6-i 

116.1 

1160 

ii6-o 

1160 

116.9 

116-9 

116-9 

1168 

1 1 5-8 

1 1 5-8 

1 1 5.8 
116.7 


10.753  2264 
753  108 1 
752  9907 
762  8734 
762  7661 
752  6388 

10.753  6216 
762  4044 
762  2872 
762  1 701 
752  o53o 
761  9369 

10.75 1  8189 
761  7019 
761  6849 
761  4679 
761  36io 
761  2342 


taBg. 


9.25s  6477 
253  7689 

253  8901 
2640112 

264  l322 

264  2533 

9.2643743 

254  4953 
2546162 
254  7371 
254  858o 

254  9789 
9.255  0997 

255  2205 

266  341 3 

255  4620 
255  6827 
255  7o34 


dif.r' 


co-tang. 


10.761  11739.2668240 


761  ooo5 
760  8837 
760  7670 
760  66o3 
750  5336 


10.760  4170  9.266  5472 


co-sin.   dif.  I ' ' 


ii5.6 
1 1 5.6 
116.6 
116.6 
116.5 


760  3oo3 
760  i838 
760  0672 
749  9607 
749  8342 

10.749  7178 
7496013 
749  4860 
749  3686 
749  2623 
749  1 36o 

10.7490197 
74o  9035 
748  7873 
748  67 1 1 
748  665o 
748  4389 

10.748  3228 
748  2068 
748  0908 
747  9748 
7478689 
747  743o 

10.7476271 
747  61 1 3 
747  3966 
747  2797 
747  1639 
747  0482 

10.746  9326 
7468169 
7467013 
746  6867 
7464701 
746  3546 

10.746  2391 


255  9446 
266  0662 
266  1867 
266  3062 
266  4267 


266  6676 

266  7880 
2669083 

267  0286 
267  1489 

9.267  2692 
267  3894 
267  6096 
267  6298 

267  7499 

267  8700 
9.2679901 

268  1 101 
268  23oi 
268  35oi 
268  4701 
268  6900 

9.268  7099 

268  8297 
258  9496 

269  0693 
269  1 891 
2693088 

9.2694286 
269  6482 
269  6678 
269  7876 
269  9070 
2600266 

9.260  i46i 
260  2666 
260  386o 
260  6045 
260  6239 
260  7432 

9.260  8626 


sec. 


co-tang. 


121.2 
121. 2 
121. 1 
121.0 
121. 1 
121.0 
121.0 
120.9 
120.9 
120.9 
120.9 
120.8 
120-8 

120.8 
120.7 
120.7 
120.7 
120.6 
120.6 
120.6 
120.5 
120.5 
120.5 
120.6 
120.4 
120.4 

120-3 

120 
120 

120-3 

1202 

I20-2 
I20-2 
120.1 
120.1 
I20I 
1200 
1200 
120-0 
I20'0 
119.9 
1 19.9 
1198 
119.8 
119-8 
1198 
119.7 
119-7 
119.7 
119-6 
119.7 
1 19.6 
119.6 

1 19.5 
19.6 

1 19.4 

1 19.6 
119.4 
119.3 
II  9.3 


10.746  3523  10.0068732 


sec 


746  23 1 1 
7461099 
7459888 
746  8678 

745  7467 
10.745  6267 

746  6047 

745  3838 

746  2629 
746  1420 
746  02 1 1 

10.744  9003 

74477  " 
74466 
744  638o 
7444173 
7442966 

10.744  1760 
7440654 
743  9348 
7438143 
743  6938 
743  5733 

10.743  4628 
743  3324 
743  2120 
7430917 

742  9714 
742  85 1 1 

10.742  73o8 
742  6106 
742  4904 
742  3702 
742  2601 
742  i3oo 

10.742  0099 
74 1  8899 
74i  7699 
74i  6499 
74 1  6299 
74i  4ioo 

10.741  2901 
74 1  1703 
74 1  o5o6 
74o  q3o7 
7408109 
74o  691 3 

10.7406716 
74o45i8 
74o  3322 
74o  2126 
74o  0930 
739  9734 

10.739  8539 
739  7344 
7396160 
739  4966 
7393761 
7392668 

10.739  1376 


dif.  1" 


8770 
8807 
8845 
8883 
8921 

10.0068969 
8906 
9034 
9072 
91 10 
9148 

10.0069186 
9224 
9262 

?3l? 
9376 
10.0069413 
9461 
9489 

9627 
9666 
9603 
10.0069641 
9679 

9717 

9766 
9703 
983 1 

10.0069869 
9907 
9946 

10.0069984 

10.0070022 
0060 

10.0070098 
0106 

0174 
0212 
0261 
0289 
10.0070327 
o365 
o4o3 

0442 
o48o 
0618 

10.0070666 
0696 
o633 
0671 
0710 
0748 

10.0070786 
0826 
o863 
0901 
0940 
0978 

10.0071016 


d.1" 


tang. 


e»-sin. 


co-sec. 


3.8 
3.7 
3.8 
3.8 
3.8 
3.8 

3.7 
3.8 
3.8 
3.8 
3.8 
3.8 
3.8 
3.8 

3.7 
3.8 

3.8 

3.8 

3.8 

3.8 

3.8 

3.8 

3.8 

3.8 

3-8 

3.8 

3.8 

3.8 

3.8 

3.8 

3.8 

3.9 

3.8 

3.8 

3.8 

3.8 

3.8 

3.8 

3.8 

3 

3 

3.8 

3-8 

3-8 

3.9 

3.8 

3.8 

3.8 

3.9 

3.8 

3.8 

3.9 

3.8 

3.8 

3.9 

3.8 

3.8 

3.8 


9.9931268  50' 
i23o 
1193 
1 1 55 


1 


d.1' 


1117 

1079 

9.9931041 
1004 
0966 
0928 
0890 
0862 

9.9930814 
0776 
0738 
0701 
o663 
0626 

9.9930687 
0649 
0611 
0473 
o436 
o3o-' 

9.9930359 

o321 

0283 
0245 
0207 
0169 

9.9930131 
0093 
0064 

9.9930016 

9.9929978 
9940 

9.9929902 
9864 
9826 
9788 
9749 
9711 

9.9929673 
9635 
969- 
9668 
9620 
948 

9.9929444 
9406 
9367 
9329 
9290 
926 

9.99292 1 4 
9176 
9137 
9099 
9060 
9022 

9.9928984 


BID. 


5o 

4o 

3o 

20 

10 

149' 

5o 

4o 

3o 

20 

10 

4& 

5o 

4o 

3o 

20 

10 

47' 

5o 

4o 

3o 

20 

10 

46' 

5o 

40 

3o 

30 

10 

45' 

5o 

4o 

3o 

20 

10 

44' 

60 

4o 

3o 

20 

10 

43' 

5o 

40 

3o 

20 

10 

42' 

60 

4o 

3o 

20 

10 

41' 

60 

4o 

3o 

20 

10 

40' 


1000 





■■IP 


sao 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


mo 


169' 


iliCl" 


m 

10 

3o 
4o 

ISl' 
Id 
10 

3o 
4o 
5o 

•22' 

10 

20 

3o 
4o 

5o 

10 

30 

3o 
4o 
'So 

lO 
20 

3o 

4o 

5o 

25' 

10 

30 

'JKJ 

4o 

5o 

•«* 

lO 

30 

3o 

4o 
5o 
•27 

lO 

3o 
4o 
5o 

W 

10 

»o 
3o 
4o 
5o 

Hb' 

lO 
20 

3o 

4o 

5o 

30' 


9.253  7609 

253  8764 
2539918 

254  1072 
354  2226 
354  3379 

9.254  4532 

354  5685 

254  683? 
2547989 

2549141 

255  0292 

9.255  i444 
2552594 

355  3745 
255  4895 
3556045 
255  7195 

9-255  8344 

255  9493 

356  064 1 

256  1790 
256  29.18 
256  4o85 

9-256  5233 
256  6380 
256  7526 
256  8673 

256  9819 
2570965 

9.257  2 1 10 

257  3255 
257  4400 

257  5545 
25?  6689 

2577833 

9.257  8977 
2580120 

258  1 263 
258  2406 
258  3548 
258  4690 

9.258  5832 
258  6973 
258  81 1 4 

258  9255 

259  0396 
259  1 536 

9.259  2676 
2593815 
259  4955 
259  6094 

259  7232 
2598371 

9.259  9509 
2600646 

260  1784 
260  292 1 
260  4o58 
260  5194 

9.2606330 


echsio. 


;t 


i5>4 
i5.4 

1 5.4 
1 5.3 
i5.3 
1 5.3 

l5.2 

1 5.3 
l5.2 

i5.i 

l5.2 

»5.o 
i5.i 
1 5.0 
1 5.0 
i5.o 

14.9 
14.9 
t4'8 
i4. 
1 4 

l4-7 

14.8 

14.7 
14.6 

i4-7 
14.6 
14.6 
i4-5 

14.5 
14.5 
i4-5 
14.4 
i4-4 
14.4 
14.3 
1 4-3 
i4-3 
1 4 

l4'3 

14.2 

i4-i 

i4*i 

i4.i 

i4i 

i4-o 

14.0 

1 3-9 

i4-o 

i3. 

1 3. 

13.9 

1 3.8 

1 3.7 

1 3.8 
1 3.7 
1 3.7 
i3.6 
*i3.6 


co^seo. 


10.746  2 

746  12 
7460082 
745  8928 
745  7774 
7456621 

10.745  5468I9. 
745  43 1 5 
745  3 1 63 
745  201 1 
745  o85o 
7449708 

10.744  8556 
744  7406 
7446255 
744  5io5 
744  3955 
744  2805 

10.744  i656|9 
744  o5o7 
743  9359 
743  8210 
743  7062 
743  5915 

10.743  4767 
743  3620 
743  2474 
743  1 327 
743  0181 
742  9035 

10.742  7^90 
742  6745 
742  56oo 
742  4455 
742  33 1 1 
742  2167 

10.742  1023 
74 1  9880 
741  8737 
741  7594 
741  6453 
741  53io 

10.741  4»68  9 
741  3o27 
741  1886 
741  0745 
7409604 
740  8464 

10.740  7  3  a4 
740  6 1 85 
740  5o45 
740  3906 
740  2768 
740  1629 

10.740  049 
739  9354 
7398216 
739  7079 
739  5942 
739  4806 

10.739  3670  9 


dif.1" 


•ec. 


tang. 


2608625 
2609818 

261  101 1 

261  3 204 
261  3396 
361  4587 
361  5779 
261  6970 
261  8161 
361  9353 

262  o542 
262  1732 
262  2921 
26241 II 
262  53oo 
262  6489 

262  7677 
2628865 
.263  oo53 

263  1 240 
263  2438 
263  36 1 5 
263  4801 
263  5987 

.2637173 
263  8350 

263  9545 
2640730 

264  1914 
2643099 

.264  4283 
264  5467 
264665 

264  7^34 
2649017 

265  0200 
.265  t382 
265  2564 
265  3746 
265  4927 
265  6108 
265  7289 
.265  8470 

265  9650 

266  08  3o 
266  2010 
2663189 
266  4368 
.366  5547 
2666726 
3667904 

266  9»>82 

267  0259 
267  1437 
267  26 1 3 
267  3790 
267  4907 
2676143 
2677318 
267  8494 
.2679609 


f.l" 


6»-taiig. 


9.3 
9.3 
9.3 
9.2 
9.1 
9.2 
9.1 
9.1 
9.1 
9.0 

6*9 
.0 

.9 

8 

8 

8.8 

8.8 

8.7 
8.8 

8.7 

8.6 

8.6 

8.6 

8.6 

8.6 

8.5 

8.4 

8.5 

8.4 

8.4 

8.4 

8.3 

8.3 

8.3 

8.2 

8.2 

8.2 

8 

8.1 

8.1 

8.1 

8.0 

80 

8.0 

7-9 
79 
7-9 

7:1 

7.8 

7-7 

7.8 
7.6 

7.7 
7.7 

7.6 

7 
7.6 

7.5 


diCl" 


eo^iinf. 


'  7079 
r5889 
'47O0 
'  35ii 

'  2323 

r  ii35 

)0947 
)876o 
)7572 
i6385 
)  5199 
)4f>i3 
1,2827 
» 164 1 
>o455 
19270 
►  8o86 


aM. 


IO.( 


10 


10 


10 


10 


10 


d.!"      co-«in. 


tang. 


10, 


10 


10 


10 


10 


1170 

1208 

0071247 

1285 
i324 
1 362 
i4oi 
1439 

0071478 
i5i6 
1 555 
1593 
1 632 
1671 

.0071700 
1748 
1786 
1825 
1864 
1903 

,0071941 
1970 
2018 
3o57 
2095 

3Id4 

.0072173 

2213 

225o 
2289 

a338 
3366 
.0072405 
2444 
2483 

3533 

356o 

2599 

.00726J8 

2677 
2716 
2755 
3703 

2832 

0072871 
2910 
2949 
2988 

3o27 
3o66 
.0073 1  o5 
3i44 
3j83 

3222 

3261 

33oo 
0073339 


co-tec. 


9.9928984 
8945 
8907 
8868 
883o 
8792 

9.9928753 
8715 
8676 
8638 
8599 
856 1 

9.9928593 
8484 
8445 
8407 
8368 
8339 

9.9928391 
8352 
83i4 
8175 
8 1 36 
8098 

9.9928059 
809 
7983 
7943 
79o5 
7866 

9.9927827 
7788 
7750 
771 1 
7672 
7634 

9.992759 
7556 
75i7 
7478 
7440 
7401 

9.9927362 
7323 
7284 
7245 
7207 
7168 

9.9927129 
70o<j 
7o5i 
7012 
6973 
6934 

9.9926895 
6856 

6817 

6778 

6739 

,6700 

9.9926661 


d.1' 


40' 
5o 
4o 
3o 
20 
10 
39' 
5o 
40 
3<> 
20 
10 
38 
5o 
4o 
3o 

21) 
10 

37 

5o 
40 
3o 
20 
10 

:i6 
5o 
4« 
3o 
20 
10 

35 
5o 
40 
3o 
20 
10 

34 
5o 
40 
3o 
20 
10 

33 
5o 
4o 
3o 
20 

10 

n' 
5c 
40 
3o 
20 
10 

31' 
5o 
4o 
3o 
20 
10 

30' 


•ui. 


100< 


TOO 


LOGARITHMIC  SINES,  TANGENTS,  &C. 


221 


10< 


16»o 


Bin. 


3J' 
10 
20 
3o 
40 
5o 

31' 
10 
20 
3o 
40 
5o 

:i2 

10 
20 

3o 

4o 

5o 

33' 

10 

20 

3o 

40 

5o 

34' 

10 

20 

3o 

4o 

5o 

35 

10 

30 

3o 

4o 

5o 

36 

10 

20 

3o 

4o 

5o 

37' 

10 

20 

3o 

40 

5o 

•S8 

10 

20 

3o 

40 

5o 

30' 

10 

20 

3o 

4o 

5() 

140' 


9.260  633o 
260  7466 
2608602 

260  9737 

261  0872 
261  2007 

9.261  3i4i 
261  4275 
261  5409 
261  6542 
261  7675 

261  8808 

9.261  9941 

262  1073 

262  2205 

262  3336 
262  4468 
262  5599 

9.262  6729 
262  7860 

262  8990 
363  01 20 

263  1249 
263  2378 

9.263  35o7 
263  4636 
263  5764 
263  6892 
263  8020 

263  9147 
9.2640274 

264  i4oi 
264  2527 
264  3653 
264  4779 
264  5905 

9.264  7o3o 
264  8 1 55 

264  9279 

265  o4o4 
265  1 528 
265  265 1 

9.265  3775 
2654898 
365  602 1 
265  7143 
265  8265 

265  9387 
9.2660509 

266  i63o 
266  2751 
266  3872 
2664992 
266  6 1 1 3 

9.2667232 

266  8352 
2669471 

267  0590 
267  1709 
267  2827 

9.267  3945 


(lif.l" 


co-8in. 


1 1 3.6 
II  3.6 
II  3.5 
ii3.5 
ii3.5 
1 1 3.4 
ii3.4 

1 1 3.4 
ii3.3 
ii3.3 
ii3.3 
II  3.3 
u3.2 

Il3.2 

ii3.i 

Il3.2 

ii3.i 
1 1 3.0 
ii3.i 
II  3.0 

1 1 3.0 
1 1 2.9 
112.9 
II  2.9 
112. 
112. 
112.8 

1 1 2.8 

1 12.7 
112.7 
112.7 
1 1 2.6 
1 1 2.6 
1 12.6 
1 1 2.6 

112. 5 
112. 5 
1 12.4 
112.5 
112.4 
112.3 

II3.4 

112.3 

1 1  2.3 

112.2 
1 1 2.3 
112.2 
112. 2 

112. 1 
112. 1 
112. 1 
1 1 2.0 

112. 1 

1 1 1. 9 
112.0 
tll.9 
til. 9 

HI 

III. 
111.8 


co-sec. 


10.739  3670 
739  2534 
739  1398 
739  0263 
7389128 
738  7993 

10.738  6859 
738  572 
738  4591 
738  3458 
738  2325 
738  1 1 92 

10.738  0009 
737  8927 

737  7795 
7376664 
737  5532 
737  44oi 
10.737  3371 


tang. 


737  2i4o  270  1942 


did" 


737  lOfO 

736  9880 
7368751 
736  7622 

10.7366493 
736  5364 
736  4236 
736  3 1 08 
736  1980 
7360853 

10.735  9726 
735  8599 
735  7473 
735  6347 

735  5221 
735  4095 

10.735  2970 
735  1845 
735  073! 
734  Q596 
734  8473 
734  7349 

10.7346225 
734  5 1 02 

734  3979 

734  2857 
734  1735 
734  061 3 

10.733  0491 
733  8370 
733  724 
733  6i2i 
733  5oo8 
733  3887 

10.733  2768 
733  1 648 
733  0529 
7329410 
732  8291 
732  7173 

10.732  6o55 


9.267  9669 
268  0844 
268  2019 
268  3193 
268  4367 
268  5541 

9.2686714 
268  7887 

268  9060 

269  0233 
269  i4o5 
269  2577 

9.269  3749 
269  4930 
2696091 
269  7262 
269  8432 
2699602 

9.2700772 


sec. 


27o3iii 
270  4280 
270  5449 
2706617 

9.270  7786 

270  8953 

271  0121 
271  1288 
271  2455 
271  3622 

9.271  4788 
271  5954 
271  7120 
271  8286 

271  9451 

272  0616 

9.272  1780 
272  2945 
272  4109 
272  5272 
272  6436 
272  7599 

9-272  8762 

272  9924 

273  1087 
273  2249 
273  34 1 1 
273  4572 

9.273  5733 
273  6894 

273  8o55 
2739215 

274  o375 
274  1 534 

9.274  2694 
274  3853 
2745012 
2746170 
374  7329 
274  8487 

9.274  9644 


dif.  I" 


co-tang. 


co-tanw. 


II7.5 
117.5 
1 1 7-4 
1 17-4 

1 1 7.4 
1 17.3 
1 17.3 
1 17.3 

1 17.3 
117. 2 
117.2 

1 17.2 
117. 1 
117.1 

117. 1 
1170 
117.0 

1 1 7.0 
1 17-0 
1 16.9 
1 16.9 
1 16.9 

1 16.8 

1 16.9 
116.7 

1 16.8 
1 16.7 
1 16.7 

1 16.7 
1 16.6 
116.6 

1 16.6 
116.6 

1 16.5 
116.5 

1 16.4 

1 16.5 
1 16.4 
116.3 

116.4 

1 16.3 
116.3 

116. 2 

1 16.3 
116.2 
116.2 
116.1 
ri6.i 

116. 1 
116.1 
1 16.0 
116.0 
115.9 
1 16.0 
II  5.9 

1 1 5.9 

1 1 5.8 
115.9 
1 1 5.8 

1 1 5.7 


sec. 


di£l" 


10.732033 1 
73i  9i56 
73i  7981 
73 T  6807 
73 1  5633 
73 1  4459 

10.731  3286 
73i  2ii3 
73 1  0940 
73o  9767 
73o  8595 
73o  7423 

10.7306251 
73o  5o8o 
73o  3909 
73o  2738 
73o  1 568 
73o  0398 

10.7299228 
729  8o58 
7296889 
729  5720 
7294551 
7293383 

10.729  22l4 

729  io47 
728  9879 
7288712 
728  7545 
728  6378 

10.7285212 
728  4o46 
728  2880 
728  1714 
728  0549 
727  9384 

10.7278220 
727  7055 
727  5891 
727  4728 
727  3564 
727  2401 

10.727  1238 
727  0076 
7268913 
7267751 
726  6589 
726  5428 

10.726  4267 
7263106 
726  1945 
726  0785 
7259625 
725  8466 

10.725  73o6 
725  6i47 
725  4988 
725  383o 
725  2671 
725  i5i3 

10.725  o356 


10.0073339 
3378 

3417 
3456 
3495 
3534 

10.0073573 
36i2 
365i 
36oo 
37S0 
3769 

10.0073808 

3847 
3886 
3925 
3965 
4oo4 
10.0074043 
4082 

4l2I 

4i6i 
4200 
4239 

10.0074278 
43i8 
4357 
43< 
4436 
4475 

10.0074514 
4554 
4593 
4632 
4672 

47" 
10.0074750 

4790 
4829 

4860 

4908 

4948 

10.0074987 
5o27 
5o66 
5io6 
5i45 
5i85 

10.0075224 
5264 
53o3 
5343 
5382 
5422 

10.0075461 
55oi 
5541 
558o 
56  30 
566o 

10.0075699 


d.l" 


co-Hin. 


9.9926661 
6622 


3.9 

3.9 
3.9 

3.9 
3.9 
3.9 
3.9 
3.9 
3.9 

4-0 
3.9 

399.9926192 


6583 

6544 
65o5 
6466 
9.9926427 
6388 
6349 
63 10 
6270 
623i 


tang. 


co-sec 


3.9 
3.9 

4-0 
3.9 

3.9 
3.9 
4.0 

3-9 
3-9 

3.9 
4-0 
3.9 
3.9 
4.0 
3.9 
3.9 
4.0 
3.9 
3.9 
4.0 
3-9 

4.0 

4.0 
3.9 
4.0 
3.9 
4.0 
3.9 
4.0 
3.9 
4.0 
3.9 
4.0 
3.9 
4.0 
3.9 
4.0 
3.9 
4.0 
4.0 
3.9 
4.0 
4.0 
3.9 


6i53 

6114 
6075 
6o35 
5996 
9.992595 
5918 


d.l" 


30' 

5o 
40 
3o 
20 
10 
29' 
5o 
4o 
3o 
30 
10 
128' 
5o 
40 
3o 
20 
10 
27' 
5o 
40 
3o 
20 
10 
26' 
5o 
4o 
3o 
20 
10 
25' 
5o 
4o 
3o 


5879 

5839 

58oo 

5761 
9.9925722 

5682 

5643 

56o4 

5564 

5525 
9.9925486 

5446 

5407 

5368 

5328 

5289 
9.992525024' 

5210 

5171 

5i3i 

5092 

5o52 
9.9925013 

4973 

4934 

48( 

48 

48i5 
9.9924776  22* 

4736  - 

4697 

4657 

4618 

4578 
9.9924539 

4499 

4459 

4420 

438o 

4340 
9.992430 


20 
10 


5o 
40 
3o 
20 
10 
23' 
5o 
4o 
3o 
20 
10 


5o 
4o 
3o 
20 
10 
21' 
5o 
4o 
3o 
20 
10 
20' 


Bin. 


100« 


•ygo 


1 


nnn 


LOGARITHMIC     SINES,     TANGEHT8,     dtC. 


t#0 


11190 


•ill.        diC  1"       oo-MC. 


5tt 
41' 


3o 

4o 

5o 

42' 

10 

ao 
3t) 
40 
5o 
43' 
10 
20 
3o 
.40 

§€ 

44' 
10 

ao 
3o 
4o 

45' 
10 

30 

'Jo 

40 


40^9.267  3945,,, 
2675065  ; 
2676180" 

3o|  2677297*  ■ 
2678414 

267  9'>3i 
9.2680647 

10  2681763 
20  268  2879  ' 
-"-     2683994 

268  5109" '• 
2686224  ,  I 

9.2687338"* 
2688452"  • 
2689566  [J] 

269  0680   ■ 

269  2906 
9.2694019 
2695131  "' 
2696243"; 
2697355" 

2698467"; 
2699578  J'J 

9.2700689 

270 1799  „,: 

2702910 

3704020   * 

2705129 ,  " 

2706230  "' 

9.2707348  ^• 

20|  2709565 
271  0674 
271  1782 

5o  271 3889  ' 
46'9'27"3997"o 
10  271  5 104  * 
20  271  621 1  ,.  • 

4o  2718423 

^j  271 9529  „o: 

47'  9-272  1)635  '" 
10  272  1740  .* 
w    272  2845       ' 

do  t72  3950  *  ;"• 
40   2725055    °' 

5o  2726159,,  ■ 
48' 9-272  7263  I^- 

10  272  8366  ^• 
20  2729470,,  ' 
3o  2730573  *.^- 
4o  2731675  ^• 

fio  273  2778  ;„• 

49'9-273  388o  ^• 

10  2734982  ^• 

30  2736084  ^■ 

3o  3737185  ^• 

4o  2738286  ^■ 

5o  2739387  ^'^• 
50' 9  274  0487 


eiMiin.      dif.  l" 


taaf. 


9.2749644 
2750802 
275  1959 
275  3l  10 

275  4272 
275  5428 

9353I9.275  6584 
275  7740 

275  8895 
2760050 

276  1 2o5 

2762360 

9.2763514 

2764668 

2765822 
2766975 
2768128 

2769281 

9.277  0434 

277  1 586 
277  2738 
277  3889 

277  5o4i 
2776192 

9.277  7343 
277  8493 

277  9644 

278  0793 
278  1943 
2783093 

9.278  424a 
278  53oi 
278  65  S9 
278  7687 

278  8835 
2789983 

9.279 1  i3i 

279  2278 
2793425 
2794571 

2795717 

279  6863 
9.2798009 

2799155 

280  o3<jo 
280  1445 
2802589 

280  3734 
9.2804878 

2806023 
2807165 
2808308 
2809451 

281  0594 
6120I9.281  1736 


i5oi8 
13916 
i38i5 
►  1714 
>o6i3 
t95i3 


MC. 


281  2878 
281  4020 

281  5i62 
281  63o3 

2817444 
9.281  8585 


co-tang. 


dICl" 


i5.8 
15.7 
5.7 
5.6 
5. 
5. 
5.6 
5.5 
5.5 
5.5 
5.5 
5.4 
5.4 
5.4 
5.3 
5.3 
5.3 
5.3 
5.2 
5.2 
5 
5.2 
5.1 
5.1 
5.0 
5 
4.9 
5.0 
5.0 

4.9 

it 
4.8 

4.8 
4.8 
4.8 

4.7 

4.7 

4-6 
4-6 
46 
4.6 
4-6 
4.5 
4.5 
U 
4.5 
44 
4-4 
4.3 
4.3 
4-3 
4.3 
4.2 

4-2 

4.2 
4.2 
4.1 
4.1 
4-1 


dif.1" 


e«>taiif. 


10.725 

724 
724 
724 
724 
724 

10.724 
724 
724 
723 
723 
723 

10.723 
723 
723 
723 
723 
723 

10.722 
722 
722 
722 
722 
722 

10.722 
722 
732 

721 
721 
721 

10.721 
721 
721 
721 
721 
721 

10.720 
720 
730 
730 
720 
730 

10.720 
720 
719 
719 
719 

7>9 
10,719 

719 
719 

719 

?;? 

10.718 
718 
718 
718 
718 
718 

10.718 


o356 

9196 

804 1 

6884 

5728 

4573 

34i6 

3260 

iio5 

995( 

8795 

764* 

6486 

5332 

4178 

3o25 

1872 

0719 

9560 

84i4 
7262 

6111 

OOOo 

2657 
i5o7 
o35fi 


9207 
8057 
6907 
5758 
4609 
3461 
23i3 
ii65 
0017 
8869 
7722 
6575 
5429 
4283 
3i37 

0845 
9700 
8555 

74n 
6266 

5l22 

3978 
2835 
1692 

0549 
9406 

8264 
7122 
5980 

4838 

2556 
i4i5 


tang. 


MC 


10.0075609 

57*9 
5770 

58i8 

5858 

58o8 

10.0075937 

5977 
6017 

6o57 
6096 
6i36 

10.0076176 
6216 
6255 
6295 
6335 
6375 

10.0076415 
6455 
6494 
6534 
6574 
6614 

10.0076654 
6694 
6734 
6774 
68i4 
6654 

10.0076894 
6934 
6974 
7014 

7054 
7004 
10.0077134 

7174 
7214 
7254 
7294 
7334 

10.0077374 
74i4 
7454 
7494 
7535 
7575 

10.0077615 
7655 
7605 
7735 
7776 
7816 

10.0077856 
7806 
7937 

7977 
8017 

8057 

10.0078098 


GO-«ec. 


d.1' 


4.0 
4.0 

4.0 
4.0 

3-9 
4.0 

4.0 

4.0 

3.9 

4.0 

4-0 

4.0 

3.9 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4'0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4-0 

4.0 

4.0 

4-0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.0 

4.1 

4.0 

4.0 

4.0 

4-0 

4-0 

4.1 

4.0 

4.0 

4.0 

4-1 

4-0 

4.0 

4.0 

4.1 


d.1" 


ooHnn. 


9.9924301 
4261 
4221 
4182 
4143 

4l02 
9.9924063 

4o23 

3983 
3943 

3904 
3864 

9.9923834 
3784 
3745 
3705 
3665 
3625 

9,9923585 
3545 
35o6 
3466 
3426 
3386 


130' 

5o 
40 
3o 


9.9923346  16' 

33o6  " 

3266 

3226 

3i86 

3146 

9.9923106 
3o66 
3o26 
2986 
3946 
2906 

9.9932866 
3826 
2786 
3746 
3706 
3666 

9.9922626 
3586 
2546 
35o6 
3465 
3425 

9.9933385 
3345 
33o5 

2365 

3224 

3i84 
9.9933144 

3io4 

3o63 

202  3 

1983 

1943 
9.9921902 


Bin. 


20 
10 
19 
5o 
4o 
3o 

2U 
10 

18 

5o 
40 
3o 
20 
10 
17 
5< 

4^' 
3o 
20 
10 


5o 
40 
3o 
20 
10 
15' 
5o 
40 
3o 
20 
10 
14 
5o 
40 
3o 
20 
10 
13' 
5o 
4o 
3o 
20 
10 
12' 
5o 
40 
3o 
20 
10 
11' 
5o 
4o 
3o 
20 
10 
10' 


10O*> 


790 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


223 


10° 


169«> 


50' 
10 
20 
3o 
4o 
5o 
51' 
10 
20 
3o 


•Ilk 


4o 

5o 

52' 

10 

20 

3o 

4o 

5o 

53' 

10 

20 

3o 

40 

5o 

.54' 

10 

20 

3o 

4o 

5o 

.55 

10 

20 

3o 

4o 

5o 

56' 

10 

20 

3o 

4o 

5o 

57' 

10 

20 

3o 

4o 

5o 

-53 

10 

20 

3o 

4o 

5o 

51)' 

10 

20 

3o 

40 

5o 

I6U 


9.2740487 
274  1587 
274  2687 
274  3786 
274  4886 

374  5985 

9.274  7083 
2748182 

274  9280 

275  0378 
275  1475 
275  2573 

9.275  3669 
275  4766 

375  5863 

275  6959 

375  8o54 
3759150 

9.376  0245 

276  1 340 
276  3435 

376  3529 
276  4623 
2765717 

9.2766811 
276  7904 

276  8997 

277  0089 
277  II 82 
277  2274 

9.277  3366 
277  4457 
277  5549 
277  6640 

277  773o 
2778821 

9.27799" 

278  lOOI 

278  2090 
2783179 
278  4368 
278  5357 

9.278  6445 

278  7533 
2788621 
378  9709 

279  0796 
279  1 883 

9.279  2970 
279  4o56 
3795142 
2796228 
2797314 

279  8399 

9.279  9484 

280  0569 
280  i653 
380  2738 
2803821 
280  4905 

9.280  5988 


dif.!" 


co-flin. 


1 0.0 

1 0.0 

09.9 

1 0.0 

09.0 

09.8 

09.0 

09.8 

09.8 

09.7 

09.8 

09.6 

09.7 

09.7 

09.6 

09.5 

09.6 

09,5 

095 

09.5 

09.4 

09.4 

09.4 

09.4 

09.3 

09.3 

09.2 

09.3 

09.2 

09.2 

09.1 

09.2 

09.1 

09.0 

09,1 

09.0 

09.0 

08.9 

(j8>9 

08.9 

08.9 

08.8 

08.8 

08.8 

08.8 

08.7 

08.7 

08.7 

08.6 

08.6 

08.6 

08.6 

08.5 

08.5 

08.5 

08.4 

08.5 

08.3 

08.4 

08.3 


civaec. 


Ung. 


dfCl' 


10.72595139 
725  84i3 
7257313 
7256214 
725  5ii4 
7254015 

10.725  2917 
7251818 
725  0720 
7249622 
724  8525 
724  7427 

10.7246331 
724  5234 
7344137 
724  3o4i 
724  1946 
724  o85o 

10.723  9755 
723  8660 
723  7565 
7236471 
723  5377 
723  4283 

10.723  3189 
723  2096 
723  ioo3 
722  991 1 
7228818 
722  7726 

10.722  6634 
722  5543 
722  445 1 
722  336o 
722  3370 
733  1179 

10.722  0089 
7218999 
721  7910 
731  6831 
731  5732 
721  4643 

10.721  3555 
731  3467 
721  i379 
721  0291 
720  9204 
7208117 

10.720  7o3o 
720  5944 
720  4858 
720  3772 
720  2686 
720  1601 

10.720  o5i6 
7199431 

7198347 
7197262 
7196179 
7195095 
10.719  4oi  2 


lec. 


>.28i  8585 

281  9725 

282  o865 
282  2oo5 

282  3i45 
383  4284 

^.282  5423 

283  6562 
282  7700 
282  8838 

282  9976 

283  iii4 

).283  225l 

283  3388 
283  4525 
283  5662 
283  6798 

283  7934 
^.283  9070 

284  0205 
284  1 340 
284  2475 
284  36 10 
2844744 

>.284  5878 
2847012 
2848146 

284  9279 
285o4i2 

285  1 545 
>.285  2677 

285  3809 
285  4941 
285  6073 
285  7204 

285  8335 
1.285  9466 

286  0596 
286  1726 
286  2856 
286  3986 
286  5ii5 

1.2866245 
286  7373 
286  85o2 

286  9630 

287  0758 
287  1886 

1.287  3oi4 
2874141 
287  5268 
287  6395 
3877521 

287  8647 
.287  9773 
2880899 

288  2024 
288  3 1 49 
288  4274 
288  5398 

.288  6523 


dif.!" 


4.0 
4.0 

4.0 
4.0 

3.9 

3.9 

3.8 
3.8 
3.8 
3.8 
3.7 
3-7 
3-7 
3.7 
3.6 
3.6 
3.6 
3.5 
3.5 
3.5 
3.5 
3.4 
3.4 
3.4 
3.4 
3.3 
3.3 
3.3 

3.3 

3 

3.2 

3.3 
3.1 
3.1 
3.1 
3.0 
3.0 
3.0 
3.0 
2.9 
3.0 
2.8 

2.8 
2.8 
2.8 
2.8 

2.7 
2.7 
2.7 
2.6 
2.6 
2.6 
2.6 

2.5 
2.5 
2.5 

2.4 

2.5 


co-tang. 


co-tang. 


diCl" 


10.718  i4i5 

7180275 
7179135 

717799^ 
717685? 
717  5716 
10.7174577 

717  3438 
717  23oo 
717  1 162 
717  0024 
7168886 

10.716  7749 
7166612 
716  5475 
7164338 
7163202 
716  3066 

10.7160930 
7150795 
715  866(j 
7157525 
7156390 
71 5  5256 

10.7154122 
7i5  2988 
7i5 i854 
7150721 
714  9588 
7148455 

10.7147323 
7146191 
714  5o 
7143927 
714  2796 
714  i665 

10,714  o534 
7139404 
7138274 
7137144 
7i3  6oi4 
713  4885 

10.7133755 
7i3  2627 
7i3  1498 
71 3  0370 
712  9242 
712  8ii4 

10.712  6986 
712  5859 
712  4732 
7i2  36o5 
712  2479 
712  i353 

10.712  0227 
711  9101 
711  7976 
7ii685i 
711  5726 
711  4602 

1 0.7 II  3477 


sec. 


tang. 


10.007 

81 

8178 

8219 

8259 

8299 

10.0078340 
838o 
8420 
846i 
85oi 
8542 

10.0078582 
8622 
8663 
8703 
8744 
8784 

10.0078825 
8865 
8906 
8946 
8987 
9027 

10.0079068 
9108 

9149 
9189 
9230 
9271 

10.007931 1 
9352 
9392 
9433 
9474 
95i4 

10.0079555 


d.i' 


9677 

9718 

9759 

10.0079799 

9840 

9881 

9922 

10.0079962 

io.oo8ooo3 

10.0080044 

oo85 

OI25 

0166 
0207 
0248 

10.0080389 
o33o 
0371 
o4i2 
0452 
0493 

10.0080534 


co-sec 


4.0 

4-0 

4.1 
4.0 
4.0 
4.1 
4.0 
4.0 

4.1 
4-0 

4.1 
4.0 
4.0 

4-1 
4-0 

4.1 
4-0 

4-1 
4.0 

4 
4.0 

4.1 
4.0 

4-1 
4-0 

4 
4.0 

4.1 
4-1 
4.0 

4-1 
4-0 

4-1 
4-1 
40 

4- 1 
4i 
4-0 

4-1 
4-1 
4-1 
4-0 

4-1 
4-1 
4-1 
4o 

4i 
4-1 
4-1 
4-0 

4.1 
4-1 
4-1 
4.1 
4-1 
4-1 
4.1 
4-0 

4.1 
4-1 


co-sin. 


9.9921902 
1862 
1822 
1781 
1741 
1 701 

9.9921660 
1620 

i5do 
1539 
1499 
1 458 
9.9921418 
1378 

1 337 
1297 
1256 
1216 

9.9921175 
ii35 
1094 
io54 
ioi3 
0973 

9.9920932 
0892 
o85 
081 
0770 
0729 

9.9920689 
0648 
0608 
o567 
o526 
o486 

9.9920445 
o4o4 
o364 
o323 
0282 
0241 

9.9920201 
0160 
0119 
0078 

9.9920038 

9.9919997 

9.9919956 

9915 

9875 

9834 

9793 
9752 

9-991971 1 

9670 

9629 
9588 
9548 
9507 
9.9919466 


d.1" 


10' 

5o 

40 

3o 

20 

10 

i)' 

5o 

4o 

3o 

20 

10 

8' 

5() 

4o 

3o 

20 

10 

7' 

5o 

4o 

3o 

20 

10 

6' 

5o 

4o 

3o 

20 

10 

5' 

5o 

4o 

3o 

20 

10 

4' 

5o 

4o 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

10 

2' 

5o 

4o 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 

0' 


•m. 


100° 


79« 


'324 


L06A1ITHMIC     SINES,     TANGENTS,     &C, 


168« 


0' 


ii> 


2CI 

3o 

4o 

5o 

1 

lo 

20 

3i> 
4o 
5<» 

lo 

30 

3ii 
4o 

3*1 

3' 
to 

3o 

4o 
,5o 
4' 

lO 

20 

3o 

4o 

5' 

10 
20 

3o 
4o 

5o 


20 

3o 
4o 

5o 
7» 

lO 

:20 

3o 

4« 

5c 

8' 

to 

ao 

3o 

4o 


ff'm. 


m.i" 


'f9O*fl06* 


tanf. 


diCl" 


a 

108.2 
108.2 
108.1 
1 08. 1 


9.2805988,^34 
28o7(.72      «^ 

2808154   'SI 
2809.37;^-^ 
a8i  o3i9 
281  i4oi 
9.a8i  703 
281  35ti4 

281 4645  ;;2'; 

281  5726  ,  «■ 

281  6806  'S? 
381  7887  \'^l 

9.281 8967  ;!•" 
3820046  ,j,'z 
282,  ,26^-;^ 

282  22o5  -yi'2 
282  3284  ,-*l"fi 

282  4362'  *^''° 

282  7596   g 
a82  975i|^" 

283  0828  ^;-3 

9.283  1905;  ^^;7 

283  2981."  3 fi 


283  4o57 


107.6 


2S3  5i33  ,_^ 
»fti ««,  ^"*'7*o 

283  7284  ";e 

9.283  8359  ;°n 

%83  943l:^:^ 

284o5o8,'^4^ 
284i582t'"7-4 


284  3656 


I07-4 

2843730!"!!", 
9.284  48o3j*;^;3 

10   284  5876  .   q 

""  ^?1^^9k.7.2 

284  80:?  1   ' 

=^85«'f  107.2 
9.285i237j  '  J 

285  23o8  ,  '  _ 
285  338o;'^*'^ 
285  4450! 
285  55211 


y 

10 
30 

3o 
4o 
5o 
Hi' 


a85  6591 
9.2857661 

285  8731 
2859801 

286  0870 

"^^^^ 
9-^86  4o76!;^:g 

*?55'^^io6.8 


107.0 
107.1 
107.0 
107.0 
107.0 
107.0 
106.9 
106.9 


2866212 


106.7 


2867279,05*8 
286  8347  ,06  7 

9.287  o48oj 


eo-iin.   diCl" 


10.719  4oi2]9 
719  2928 
719 1846 
7100763 
718  9681 
7188599 

10.71875179- 
7186436 
718  5355 
7184274 
718  3194 
718  2Il3 

10.718  io33 
7170954 
717  0874 

717  779 
7176716 

717  5638 
10.7174559 
7173481 
717  24o4 
717  1 326 
7170249 
7169172 
10.7168095 
7167019 
716  594J 
7164867 

7163791 
716  2716 
10.716  i64i 
7160567 
71 5  9492 
71 5 84 18 

7157344 
7156270 

10.7155197 
7154124 
7i5  3o5i 
7*5  1979 
7150907 
7149835 

10.714  8763 
7147693 
7146620 
714  555o 

7144479 
714  3409 

10.7142339 
714  1269 
7140199 
7i3  9i3o 
7i3  8061 
7136993 

10.713  5924 
713  4856 
7133788 
7i3  2721 
71 3  i653 
7i3o586 

10.7 12  9520 


■ec 


!i88  652  3 

288  7647 

288  8770 
2889894 

289  1017 

289  2l4o 

289  3263 
2894385 
289  5507 
289  6629 

289  775o 
2898872 
2899993 

390  iii4 

290  2234 
290  3354 
290  4474 
290  5594 
.2906713 

290  7832 
2908951 

291  0070 
291  1188 
291  23o6 
.291  3424 

391  4542 
291  5659 
291  6776 
291  7893 

291  9009 
.393  01 26 

292  1243 
393  2357 

392  3473 

393  4588 

393  5703 
.2926817 
292  7932 

292  9046 

293  0160 
293  1273 
293  2387 

.293  35oo 
2934612 
293  5725 
293  6837 

293  7949 
2939061 

.2940172 

394  1 384 
3942394 
394  35o5 

394  4616 

294  5726 
.394  6836 

294  7945 

294  9055 
2950164 

295  1273 

395  238 1 
1.295  3489 


co-tiing. 


12.4 
13.3 
13.4 
13.3 

ia.3 

13.3 

13.3 

13.3 

12.2 

12.1 

13.3 

12.1 

13.1 

I3.0 

13.0 

12.0 

12.0 

11.9 

11.9 

11.9 

II. 

II. 

11.8 
11.8 
11.8 
11.7 
11.7 
11.7 
11.6 
11.7 
1 1.6 
11.5 
1 1.6 
1 1.5 
11.5 
11.4 
11.5 
11.4 
11.4 
1 1. 3 
11.4 
1 1.3 
n.2 
11.3 

1 1 .3 

II. 3 
II. 2 

U.I 

II.3 

II.O 

U.I 

11.1 

II.O 

II. O 

10.9 

II.O 

10.9 

10.0 

10.8 
10.8 


dif.1" 


eo-tiing. 

•ec. 

d.l" 

4.1 
4.1 
4.1 

jC   . 

10.711  3477 

io.oo8o534 

711  2353 

0575 

711  i23o 

0616 

711  0106 

o657 

7108083 
710  7060 

0739  Z 

10.0080780  ^\ 

10.7106737 

7io56i5 

0831 

4.1 
4.1 

4.1 
4.1 
4.1 
4.1 
4.1 
4.1 
4.1 
4.3 
4.1 
4.1 
4.1 
4.1 
4.1 
4.1 
4.2 
4.1 
4.1 
4.1 
4.1 
4.2 

4.1 
4.1 
4.1 
4.2 
4.1 
4.1 
U 
4.2 

4.1 
4.1 
4.2 
4.1 
4.2 
4.1 
4.1 
4.2 
4.1 
4.2 

4.1 
4.1 
4.2 
4.1 
4.2 
4.1 
4.2 

4.1 
4.2 
4.1 
4.3 
4.1 
4.3 

7104493 

0863 

710 3371 

0903 

710  225o 

0944 

710 1128 

0985 

10.7100007 

10.008I036 

7098886 

1067 

7097766 

1108 

7096646 

1 149 

709  5526 
7094406 

1190 

1333 

10.7093287 

10.0081373 

7092168 

i3!4 

709  1049 
708  9930 

1 355 
1396 
1437 

708  8812 

7087694 

1478 

10.7086576 

10.0081 520 

708  5458 

i56i 

7084341 

1602 

708  3224 

1643 

7082107 

1684 

7080091 

1726 

10.707  9874 

10.0081767 

707  8758 

1808 

707  7643 

1849 

707  6537 

1891 

707  5412 

19J2 

707  4297 

1973 

10.707  3 1 83 

10.008  30l4 

707  2068 

3o56 

707  oo54 
7060840 

2097 
2i38 

706  8737 

3180 

7067613 

2331 

10.706  65oo 

10.0083263 

706  5388 

23o4 

706  4375 

2345 

7o6  3i63 

2387 

706  2o5i 

2438 

7060930 
10.705  9828 

2470 
10.0082511 

7058716 

2552 

7057606 
7o5  6495 
7o5  5384 

25o4 
2635 

2677 

7o5  4274 

2718 

10.70531 64 

10.0082760 

7o5  2o55 

2801 

7o5  0945 

2843 

704  0836 

3884 

704  8727 

2936 

7047619 

3967 

10.704  65 11 

io.oo83oo9 

umf. 

co-iec. 

d.1" 

co-sin. 


9.9919466 
9425 

9384 
9343 
93o3 
9261 
9.9919220 

9' 79 
91 38 

9097 

9056 

9015 

9.9918974 
8933 
8892 
885i 
8810 
8768 

9.9918727 
8686 
8645 
8604 
8563 

8522 

9.9918480 
8439 
8398 
8357 
83 1 6 
8374 

9.9918233 
81 
81 

8109 
8068 
8027 

9.9917986 

7944 
79o3 
7862 
7820 

7779 
9.9917737 

7696 

7655 

7613 

7573 
753o 

9.9917489 
7448 
74o6 
7365 
7333 
7382 

9.9917240151 
7199 

7»57 
7116 

7074 
7o33 
9.99 1 699 1 


60' 
5o 
40 
3o 
20 
10 

y.v 

5o 
4o 
3o 
20 
10 
r>8' 

5o 
4o 
3o 
20 
10 

.57' 
5o 
40 
3o 
30 
10 

56' 
5o 
40 
3o 
20 
10 

55' 
5o 
4o 
3o 
20 
10 

54' 
5o 
4o 
3o 
20 
10 

53' 
5o 
4o 
3o 
20 
10 

52' 
5o 
4o 
3o 
20 
10 


■in. 


5o 
40 
3o 
20 
10 
50 


101< 


78® 


LOGARITHMIC  SINES,  TANGENTS,  &C. 


225 


II* 


I680 


sm. 


dif.l" 


10' 

10 

20 

3o 

4o 

5o 

11 

10 

20 

3o 

40 

5u 

12' 

10 

2C 

3o 
40 
5o 
W 
10 
20 
3o 
40 
5o 
14' 
10 
20 
3o 
40 
5o 
IV 
10 
20 
3o 
4o 
5o 
16 
10 
20 
3o 

40 
5o 
7 
10 
20 
3o 
4o 
5o 
M' 
10 
20 
3o 
40 
5o 
1) 
10 
20 
3o 
4o 
5o 
20' 


9.287  o48o 
287  1 547 
287  2613 
287  3679 
2874745 
287  58 10 

9.2876875 
287  7940 

287  9005 
2880069 
388  1 1 33 

288  2197 

9.288  3260 
288  4324 
288  5387 
288  6449 
2887512 

288  8574 
9.288  9636 

2890697 
2891759 

289  2820 
2893881 

2894941 
9.2896001 

289  7061 
2898121 
2899181 

290  0240 
290  1299 

9.290  2357 
2903416 
290  4474 
290  5532 
290  6589 

290  7646 
9.3908704 

2909760 

291  0817 
291  1873 
291  292 
291  398 

9.291  5o4o 
291  6oo5 
291  7i5o 
291  8205 

291  9259 

292  o3 1 3 

9.292  1367 
292  2421 
292  3474 
292  4527 
292  558o 
292  6633 

9^392  7685 
392  8737 

292  9788 

293  o84o 
293  1 891 
293  2942 

9.293  3993 


co^in. 


101( 


06.7 
06.6 
06.6 
06.6 
06.5 
06.5 
06.5 
06.5 
06.4 
06.4 
06.4 
06.3 

06.4 
06.3 
06.2 
06.3 
06.3 
o6-3 
061 
06-2 
061 
061 
060 
060 
060 
060 
060 
o5-9 
05.9 
o5.8 
05.9 
o5.8 
o5.8 

05.7 

o5.7 

o5.8 

o5.6 

o5 

o5.6 

o5.6 

o5-6 

o5.5 

o5.5 

o5.5 

o5.5 

05-4 

o5.4 

o5.4 

o5-4 

o5.3 

o5.3 

o5.3 

o5.2 

o5.3 

o5.2 

o5.i 

o5.3 

o5.i 

o5.i 

o5.i 


co-sec 


tang. 


diCl" 


10.713  9530 
7128453 
712  7387 
7126321 
712  5355 
712  4190 

10.712  3125 
712  2060 
712  0995 
711  9931 
7118867 
711  7803 

10.71 1  6740 
711  5676 
711  46i3 
7ii355i 
711  3488 
711  1426 

10.71 1  o364 
7109303 
710  8241 
710  7180 
7106119 
7io5o59 

10.71039999 
710  2939 
710  1879 
7100819 
7099760 
7098701 

10.709  7643 
7096584 
709  5526 
709  4468 
7093411 
709  2354 

10.709  1296 
709  O34o 

7080183 
7088127 
7087071 
7086015 

10.708  4960 
7083905 
708  285o 
708  1795 
708  074 1 
7079687 

10.707  8633 

707  7579 
707  6526 

707  5473 
707  4420 
7073368 

10.707  23 1 5 
707  1263 
7070213 
7069160 
7068109 
706  7o58 

10.7066007 


did' 


lee. 


1.295  3489 
295  4597 

295  5705 
3956813 
395  7930 
395  9027 

(.2960134 

296  1240 
296  2347 
296  3453 
296  4558 
296  5664 

(.2966769 
296  7874 

296  8978 
2970083 

297  1187 
297  2291 

(.297  3395 
297  4498 
297  56oi 
297  6704 

297  7806 
2978909 
.29800 
296  II 

298  22 
29833 

39844 
39855 
.29866 
29877 
29888 
29899 
399  10 
29921 
.29932 
29943 
29954 
29965 
2997609 

299  8707 
.2999804 
3000901 

300  1998 
3oo3o95 

3oo4i 
3oo  5288 
.3oo  6383 
3oo  7479 
3oo  8574 
3009670 
3oi  0764 
3oi  1859 
.3oi  2954 
3oi  4o48 
3oi  5 143 
3oi  6335 
3oi  7338 
3oi  8433 
i.3oi  95 14 


co-tang. 


1 10.8 
1 10.8 
1 1 0.8 
110.7 
110.7 
1 1 0.7 
110.6 
110.7 
1 10.6 
1 10.5 
II0.6 
110.5 
1 10.5 
110.4 
II0.5 
110.4 
1 10.4 
110.4 
110.3 
1 10.3 
1 10.3 
110.3 
I10-3 
110.3 

1I0.3 

1 10.1 
110.3 
1 10. 1 

IIO.O 
IIO.l 

1 100 

llO-O 
IIO.O 

109.9 
1 10.0 
109.9 
109.8 
109.9 
109.8 
109.8 
109.8 
109.7 
109.7 

109.7 
109.7 
109.6 

109.7 
109.5 
1096 
109.5 
109.6 
109.4 
109.5 
109.5 
109.4 
109.4 
109.3 
109.3 
109.4 
109.2 


see. 


10.704  65 11 
704  54o3 
704  4395 
704  3187 
704  2080 
704  0973 

10.703  0866 
7o3  8760 
7o3  7653 
♦  7o3  6547 
7o3  5443 
7o3  4336 

10.703  323 1 
7o3  3 1 36 
7o3  1022 
702  9917 
702  80 1 3 
702  7709 

10.702  66o5 

702  55o2 

703  4399 
703  3296 
703  3194 
703  1 

10.701 
701 

701  7786 
7016684 
701  5583 
701  4483 

10.701  3382 
701  2282 
701  1182 
701  0082 
7008983 
700  7883 

10.700  6784 
700  5686 
700  4587 
700  3489 
700  2391 
700  1293 

10.7000196 
6999099 
699  8002 
6996905 
6995809 
6994712 

10.6993617 
699  2521 
699  1436 
699  o33o 
6980236 
6988141 

10.698  7046 
698  5952 
6984858 
6983765 
698  2672 
6981578 

10.698  o486 


d.l" 


eo-tang. 


di£l" 


io.oo83oo9 
3o5i 
3092 
3i34 
3175 
3217 

10.0083259 
33oo 
3342 
3383 
3425 

3467 
io.oo835o8 
355o 
35rt» 
3634 
3675 
3717 
10.0083759 
38oi 
3843 
3884 
3936 
3968 
10.0084010 
4o5i 
4093 
4i35 

4177 

4319 

10.0084361 

43o3 

4344 
4386 
4428 

4470 
1 0.00845 1 3 

4554 
4596 
4638 
4680 

4733 

10.0084764 
4806 
4848 
4800 
4932 

4974 
io.oo85oi6 
5o58 
5ioo 
5i43 
5i85 
5337 
10.0085369 
53ii 
5353 
5395 

5437 

5480 

io.oo85523 


tang. 


4.2 
4.1 
4.2 
4.1 
4.2 
4.2 

4.1 
4.3 

4.1 
4.3 
4.2 
4.1 
4.2 
4.2 
4.2 

4-1 

4-2 

4.3 

4-3 

4-1 
4.2 

4.2 
4.2 
4.3 

4.1 

4.2 
4.2 

4-3 
4-3 

4-1 

4.3 
4.3 
4.3 

4-2 
4-2 

4.2 
4.2 

4-2 
4-2 
4-2 

4.2 

4.2 

4.2 
4.3 
4.3 

4.3 

4-2 
4-3 

4.3 

4-3 

4-3 
4.3 

4.2 
4.2 
4.2 
4.2 
4.2 
4.3 

4.2 


9.991 699 1 
6949 


co-im. 


6908 

6866 
6825 
6783 

9.991 674 1 

6700 
6658 
6617 
6575 
6533 

9.9916492 
645o 
64<j8 
6366 
6325 
6283 

9.9916241 
610c 


50' 
5o 
4o 
3o 
20 
10 

49' 
5o 

i4o 
3o 
20 
10 

48' 
5o 
4o 
3o 
20 
10 

47 
5o 
4o 
3c) 
20 
10 

46' 
5o 
4o 
3o 
20 
10 


61 58 
61 16 

6074 
6o32 
9.9915990 

5949 
5907 
5865 
5823 
5781 

9.991573^5' 
5698  5o 
5656  40 
56i4  3o 
5579  20 
553o  10 

9-9915488  44' 
5446  5o 
54o4  4o 
5362  3o 
5320  30 
5278  10 

9-9915236  4.3' 


co^ec. 


5194 
5i52 
5iio 
5o68 
5026 

9.9914984 
4942 
4900 
4858 
481 5 
4773 

9.9914731 
4689 


d,l' 


4647 
46o5 
4563 
4520 
9.9914478 


5o 
4o 
3o 
20 
10 

42' 
5o 
4o 
3o 
20 
10 

141' 
5o 
4o 
3o 
20 
10 

|40' 


•ID. 


799 


29 


I 
(  i 


1  t 

1  : 


i  1 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


1080 


W 
lo 

Jo 
4o 

'•10 

11' 

lO 
20 

3o 
4o 

10 

ao 
5a 

•StJ' 

10 

ao 
3o 
4o 
5o 
•>4' 
lo 

30 

4o 

lO 

ao 

3o 

5a 

Id 
to 
so 
3o 
4o 
5t» 
27' 

ID 
30 

3o 

4o 

lO 

30 

40 
So 

10 
20 
3o 
4o 

5o 


mn. 


9.293  3993 
293  5o43 
3936093 
3937143 
S1938193 

293  9:142 
9.394  0391 

294  1 340 
394  3388 
394  3437 
394  4485 

394  5533 

9.394  658o 
29I7637 
3^(8674 
9949721 

395  0767' 
395  i8i4 

9.395  2859 
-  395  3905 

295  4950 
295  5996 
3957041 

295  8o85 
9.2959139 

2960174 

296  1217 
296  3361 
2963304 
296  4347 

9.296  5390 
296  6433 

296  7475 
2968517 
2969559 
2970600 

9.297  164 1 

297  268a 
397  3723 

397  4763 
3975804 
3976844 

9.297  7883 

297  8923 
2979962 

398  lOOI 

398  3o39 

398  3078 
9.39841 16 

3985154 
3986191 

298  7229 
3988366 

298  93o3 
9.299  0339 

299  1375 

399  341 1 
299  3447 
399  4483 
2995518 

9-2996553 


diet" 


I 


o5.o 

o5-o 
o5.o 
o5.o 

o4.< 

04.9 

04.9 

04.8 

04. 

o4J 

o4.7 
o4.8 

o4.7 

o4-7 

o4-7 

o4.6 

o4-7 

o4 

o4.6 

o4.5 

o4-6 

o4-5 

o4-4 

o4-4 

o4-5 

o4-3 

o4-4 

ci4-3 

o4.3 

o4-3 

o43 

o4-3 
o4.3 
o4-3 
o4'i 
o4i 
o4-i 
o4i 
040 

o4-i 
o4o 
o3-9 
o4-o 
03.9 
o3o 
o3.8 
03.9 
o3.8 
o3.8 
o3.7 
o3.8 
03.7 
o3-7 
o3.6 
o3.6 
o3.6 
o3.6 
o3.6 
o3.5 
o3.5 


co-cin.   ftiCl "    lec. 


I 


10.7066007 
7064957 
7063907 
706  al57 

7061807 
7060758 

10.705  9709 
7o5  866o 
705761 
7o5  6563 
7o5  55 1 
7054468 

10.705  343 
7o5  237 
7o5  1 336 
7o5  027 
704  923 
7048186 

10.701I  714 
7046096 
7o45o5o 
7044004 
704  295 
704  101! 

10.7040871 
7o3  9826 
7038783 

70377 
7o3  " 
7o3  56 
10.703461 
7033567 

7o3  2325 

7o3  i483 

7o3o44i 

7029400 

10.702  8359 

702  73 1 8 

703  6377 
703  5237 
702  4i 
702  3 1 

10.702  3 117 

702  1077 

703  oo38 
701  8999 
701  7961 
701  6933 

10.701  5884 
701  4846 
701  3809 
701  3771 
701  1734 
701  0697 

10.7009661 
7008625 
7007589 
700  6553 
700  55i7 
700  4482 

10.700  3447 


tUK. 


l3oi  95i4 
3o3o6o7 

302  1699 
3oa  3791 

303  3883 
3024975 

1.3026066 
3027157 
3028248 
3029339 
3o3  0429 
3o3  1 519 

i.3o3  2609 
3o3  3690 
3o34788 
3o3  5877 

303  6966 
3o38o54 

9.3039143 

304  o23i 
3q4  i3r8 
3o4  34o6 
3o4  3493 

304  458o 
9.3045667 

3046754 
3047840 
3048936 
3o5ooi3 

305  1097 
.365  3183 
3o5  3268 
3o5  4353 
3o5  5437 
3o5  652i 
3o5  76o5 

9.305  8680 

305  977  J 
3o6o856 

306  1939 
3o6  3o22 

306  4io5 

9.306  5187 
3066269 
3067351 
3o68433 
3069514 

307  0595 

9.307  1675 
3073756 
307  3836 
3o7  4916 
3075996 
3o7  7076 

9.3078155 

307  9234 
3o8o3i3 

308  1392 
3o8  2470 
3o8  3548 

9.308  4626 


dill" 


09.3 
09.2 
09.3 
09.3 
09.3 
09.1 
09.1 
09.1 
09.1 
09.0 
09.0 
09.0 
09.0 
08.9 
08.9 
08.0 
o8.8 
08.9 
08.8 

087 

08.8 

08.7 

08.7 

08.7 

08.7 

08.6 

08.6 

08.6 

08.5 

08.6 

08.5 

08.5 

08.4 

08.4 

08.4 

08.4 

08.4 

08.3 

08.3 

08.3 

08.3 

08.3 

08.3 

08.3 

08.1 

08.2 

08.1 

08.0 

08.1 

08.0 

08.0 

08.0 

08.0 

07.9 

07.9 

07.9 

07.9 

07.8 

07.8 

07.8 


eo-tang.  dif;  1 "    tan;. 


eManf. 


10.698 
6979393 
6978301 
6977209 
6976117 
6975025 

10.697  3934 
6972843 
697  1753 
6970661 
6969571 
6968481 

10.696  7391 
6966301 
6965313 
6964133 
6963034 
696  iq46 

10.6960057 
695  9769 
6958682 
6957594 
6956507 
695  5430 

10.6954333 
6963246 
695  2160 
695  1074 
6949988 
6948903 

10.694  7817 
6946732 
694  5647 
6^4563 
6943479 
694  2395 

10.694  i3ii 
6940227 
6939144 
6938061 
6936978 
6935895 

10.6934813 
693  373 
693  3649 
6931568 
693  o486 
6920405 

10.692  8325 
693  7244 
6936164 
693  5o84 
6924004 
693  2924 

10.693  1845 
692  0766 
691  9687 
6918608 
6917530 
691  6452 

10.691  ^^74 


o486  ioxx>855s 


■ee. 


>41" 


33 
5564 
5Go6 
5648 
5691 
5733 

10.0065775 
5817 
586o 
5903 
5944 
5987 

10.0086039 
6071 
6ii4 
6156 
6198 
6341 

10.0066383 
6336 
6368 
64  •« 
6453 
64' 

10.00865 
658o 
6633 
6665 
6708 
6750 

10.0086793 
6835 
6878 
6920 
6963 
7oo5 

io.cx>87o48 
7000 
7i33 
7176 
7218 
7261 

10.0067304 
7346 
7389 
7432 
7474 
75  f  7 

10.0087560 
7602 
7645 
7688 
773 1 
7773 

10.0087816 
7859 
7903 

7944 

7987 

8o3o 

10^)088073 


I 


oo-»in. 


4.3 
4.2 

4.2 

4.3 
4.3 

4.3 

4.3 
4.3 

4.a 
4a 
4.3 
4.2 
4.3 
43 
4.a 
4.3 
4.3 
4.3 
4.3 
4.3 

4.3 

4.3 

4.3 

4.3 

4-3 

4.3 
4.3 
4.3 
4.3 
4.3 
4.3 
4.3 
4.3 

4-31 
4.3 
4-3 
4.3 
4.3 
4.3 

4-2 

4.3 
4.3 

4-3 

4.3 

4.3 
4.3 

4-3 
4-3 

4-3 

4.3 
43 
43 
4.2 
4.3 
4.3 
4.3 

4.2 
4.3 
4.3 
4.3 


40' 
5o 
40 
3o 
30 
10 
3JI' 
5o 
40 
4098  3o 
4o^  3p 


9^9914478 
4436 

43o4 
4352 

4309 
4367 
919914225 

4i83 
4i4o 


oo-wc.  dA"        tin. 


4oi3 
9.9913971 
3929 
3886 

3844 
38o2 
3759 
9.9913717 

3674 
3633 
3590 

3547 
35o5 
9.9913462 
3430 

3377 
3335 
329? 
32  5o 

9.9913207 
3 1 651 
3'!  22 
3o8()| 
3o37 
3905 

9>99i2952 
2910 


2867 
2824 
2783 
3739 
919912696 

3654 
361 1 
3568 
2526 
3483 
9.9913440 

23<  ' 

2355 
a3i3 
3269 

3327 

9.9913 184 
ai4 
2098 
ao56 
201 3 
1970 

9.9911937 


10 
38 
5o 
4o 
3o 
20 
10 
;i7' 
5o 
40 
3o 
20 
10 

m 

5o 
4o 
3o 

30 
10 

:35' 
5o 
4o 
3o 
30 
10 
'M> 
5o 
4o 
3o 
30 


10 

5o 
4o 
3o 
30 
10 
32' 
5o 
4o 
3o 

30 
10 

31' 
5o 

4o 
3o 

30 
10 

30' 


1010 


780 


LOGARITHMIC     SI 


NES,     TANGENTS,     &C- 


227 


110 


1680 


sin. 


di£  1" 


30' 

10 

30 

3o 

40 

5o 
31' 

10 

20 

3o 

4o 

5o 

10 
20 
3o 
40 
5o 
:»^ 
10 
20 
3o 
40 
5o 
34* 
10 
20 
3o 
4" 
5() 
35' 
10 
30 
3o 
40 
5o 
36 
10 
20 
3o 

40 
5o 
37' 
10 
20 
3o 
40 
5o 
38 
10 
20 
3o 
40 
5o 
39' 
10 
20 
3o 
40 
5o 
40' 


9.2996553 
2997588 
2998623 

299  9657 

300  0691 
Boo  1724 

9.300  2758 
3oo  3791 
3oo  4824 
3oo  5857 
3006889 
3oo  792 1 

9.300  8953 
3009985 
3oi  1017 
3oi  2048 
3oi  3o79 
3oi  4109 

9.301  5 1 40 
3oi  6170 
3oi  7200 
3oi  8229 
3oi  9359 

302  0288 

9.302  i3i7 

303  2346 
3o2  3374 

302  4402 

303  5436 
3o3  6458 

9.303  7485 
3o3  85i3 
3o3  9539 
3o3  o566 
3o3  1592 
3o3  2618 

9.3o3  3644 
3o3  4669 
3o3  5695 
3o3  6720 
3o3  7745 

303  8769 

9.303  9794 
3o4o8i8 

304  1842 
3o4  3865 
3o4  3889 
3044913 

9.304  5934 
3o4  6957 

304  7979 
3049001 

305  0033 
3o5  io45 

9.305  2066 
3o5  3087 
3o5  4io8 
3o5  5129 
3o5  6149 
3o5  7169 

9.3o5  8189 


oo-tec. 


io3.5 
io3.4 
io3.5 
io3.4 
io3.3 

io3.4 

io3.3 

io3.3 

io3.3 

io3.2 

io3.2 

io3-2 

io3.2 

io3.2 

io3.i 

io3.i 

io3.o 

io3.i 


10.700  3447 
700  2412 
700  1378 
700  o343 
699  9309 
6998276 

10.6997242 


tang. 


did" 


9.308  4626 
3o8  5704 
3086781 
3o8  7858 
3o8  8935 
3090012 

9.309  1088 


6996209  3092164 


6995176 
6994143 
699  3 1 1 1 
699  2079 
10.699  io47 
6990015 
6988983 
698  7952 
6986921 
698  5891 


co-tang. 


io3.o 

102.9 

io3  o 

102.9 

102.9 

102. 

102. 

102.8 

102.8 

I03.8 
303.7 
103.7 
103.7 
103.7 
I03.6 

102.6 

I03.6 
I03.5 
I03.6 
I03.5 
I03.5 

I03.4 
I03.5 
103.4 
I03.4 

102.3 

103.4 

102 
102.3 

I03.3 

I03.3 

I03.3 

I03.3 

103.3 

I03.I 

103.I 

I03.I 

103.I 

103.0 

102.0 

102.0 


^^tl  10.698  486o 
'«^-^l  658  383o 
698  3800 
698  1 77 1 
6980741 
6979712 
10.697  8683 

6977654 
6976636 
697  5598 
697  4570 
697  3542 

10.697  35 1 5 
697  i488 
6970461 
6969434 
696  8408 
6967382 

10.696  6356 
696  533 1 
6964305 
6963280 

696  2255 
696  I23l 

10.696  0306 
6959182 
6958158 
6957*35 
695  61 1 1 
695  5o88 

10.695  4066 
695  3o43 
695  2021 
6950999 
6949977 
694  8955 

10.694  7934 
6946013 
694  5892 
694  4871 
6943851 
694  383 1 

10.694  181 1 


eo-sin. 


dif.l' 


309  3240 
3094316 
309  5391 

309  6466 
9.3097541 

3098616 
3099690 
3100764 
3io  i838 
3io  2912 

9.310  3985 

3 10  5o59 
3io6i33 
3107204 
3108277 
3109349 

9.31 1  0421 
3ii  1493 
3112564 
3ii  3635 

3 1 1  4706 
3ii  5777 

9.3116848 
3ii  7918 
3118988 
3i2  0o58 
3i2  1127 
3i2  2197 

9.3123266 
313  4335 
3i3  54o3 

3126472 
3137540 
3i386o8 

9.313  9675 
3i3o743 
3i3i8io 

3x3  2877 
3133943 
3i3  5oio 
9.3136076 
3i3  7142 
3i3  8207 
3139273 
3i4o338 
3i4  i4o3 

9.31 4  3468 
3i4  3532 

3144597 
3i4566i 
3146724 
3147788 
9.314  885 1 


■ee. 


107.8 
107.7 

107.7 
107.7 

107.7 

107.6 

107.6 

107.6 

107.6 

107.5 

107.5 

107.5 

107.5 

107.4 

107.4 

107.4 

1074 

107.3 

107.4 

107.3 

107.2 

107.3 

107.2 

107.2 

107.2 

1 07. 1 

1 07. 1 

1 07. 1 

107.1 

107.1 

107.0 

107.0 

107.0 

106.9 

107.0 

106.9 

106.9 

106.8 

106.9 

106.8 

io6.8 

106.7 

106.8 

106.7 

106.7 

106.6 

io6-7 

106.6 

106-6 

io6.5 

1066 

106.5 

106.5 

106.5 

106.4 

106.5 

106.4 
106.3 

106.4 
106.3 


tee. 


(LI"        CIKDiv. 


co-tang. 


10.691  5374 
691  4296 
691  3219 
691  3l43 

691  io65 
6909988 
10.6908912 
6907836 
6906760 

6905684 
6904609 

6903534 

10.690  2459 
690  1 384 
6900310 
689  9236 
6898163 
6897088 

10.6896015 

68949411 
689  3868 
689  2796 
689  1723 
6890651 

10.688  9579 
688  85o7 
688  7436 
688  6365 
688  5294 
688  4223 

10.688  3 1 53 
6882082 
688  101 3 
6879942 
687  8873 
6877803 

10.687  6734 
687  5665 

687  4597 
687  3528 
687  2460 
687  1392 
10.687  o325 

6860257 
6868190 
6867133 
6866057 
6864990 

10.686  3924 
686  2858 
686  1793 
686  0727 
6859662 
685  8597 

I0.685  7532 
685  6468 

i  685  54o3 
685  4339 
685  3276 

685  2312 

io.685ii49 


di£i" 


10.0088073 
81 16 
8159 
8201 

8244 
8287 
io.oo8833o 
8373 
84i6 
8459 
85o2 
8545 

I0.0088588 
863 1 
8674 
8717 
8760 
88o3 

10.0088846 
8889 
8932 
8975 
9018 
9061 

10.0089104 

9147 

9190 
9233 

9277 

9330 

10.0089363 

9406 

9449 
9492 
9536 
9579 

10.0089622 
9665 
9708 
9753 
97q5 
9838 

10.008988 
9935 

10.0089968 

10.0090011 
oo55 
0098 

10.0090141 
oi85 
0328 
0271 
o3i5 
o358 

10.0090402 
o445l 

I  o488 
o532 
0575 
0619 

10.0090662 


i84( 
1799 


0039  10 

9.9910896  26' 
o853  ' 

0810 

0767 

0723 

0680 
9.9910637 

0594 

o55i 

o5o8 

o464 

0421 
9.991037^ 

o335 

029 

0248 

0205 

0162 
9.99101 1 

007 


3o 


4.3 


taog. 


4.4 
4.3 

4.3 

4.4 

4.3 

4.3 

4.4 

4.3 

4-4 

4.3 

4.3 

4.4 

4.3 

4.4 

4.3 


9.991003; 

9.9909989 
9945 
991)2 

9.9909850 
9815 


co-sec. 


9772 

9729 

9685 

9643 
9.9909598 

9555 

9513 

9468 

9425 

9381 
9.9909338  20' 


d.1" 


24' 

5o 
4o 
3o 
20 

10 

21V 
5o 

40 

3o 

30 

10 

22 

5o 

4o 

3o 

30 

10 

2V 

5o 

4o 

3o 

30 
10 


uu. 


1010 


78° 


«2o 


LOGAEITHMIC     SINES,     TANGENTS,     &C. 


11» 


lego 


I  I 


MO' 

10 

3o 
4o 
5o 
II' 

10 

90 

30 
4o 
So 

10 

ao 
3o 
4o 
5<3 
43' 


lo 

20 

3o 

4o 

5o 

44' 

lO 

ao 
3o 
4o 
5o 
45' 
lo 

20 

3o 
4o 
So 
46' 

lO 

20 

3o 
4o 
So 
47' 

10 

ao 
3o 
4o 
So 
IS* 

10 


•in* 


20 

3o 
4o 
So 
49' 

10 
20 

3o 

4o 

5o 
001 


diCl" 


9.305  8189 
30S9209 

3o6o220 

3o6  1247 
3o6aa66 
3o63a84 

9.306  43o3 

306  532i 
3o66339 
3067356 
3o68373 
3069891 

9.307  0407 

307  1424 
3072440 
3073456 
3o7  4472 
3o7  5488 

9.307  65o3 
30775 1 8 
3o7  8533 

307  9548 
3o8o562 
3081576 

9.308  3590 

308  36o4 
3084617 

308  5(>3o 
3086643 
3087656 

9.308  8668 
3089680 
8090692 

309  1704 
3092715 
3093736 

9.309  4737 
3o9  5748 
3096759 
3097769 
309  8779 
3099788 

00798 
o  1807 
02816 
o382S 
0  4833 
o  584i 
06849 

0  7857 
08864 
09872 

1  0879 
I  1886 
1  2892 
13898 

14904 
I  5910 
I  6916 
I  7921 
I  8926 


9.3 
3 
3 
3 
3 
3 


9.3 
3 
3 
3 
3 
3 

9.3 
3 
3 
3 
3 
3 

9.3 


loa.o 
101.9 
101 .9 
1 01. 
1 01 
1 01. 

lOI 

101.8 
101.7 
101.7 
101.8 
101.6 
101.7 
1 01. 6 
101.6 
101.6 
101.6 
101.5 
101.5 
loi-S 
101.5 
101 -4 
101.4 
1 01. 4 
101 -4 
101.3 
101.3 
101.3 
101.3 
101.2 
101.2 
101. a 
101.2 
101. 1 
101. 1 

lOI.l 
lOI.I 
lOI.I 
lOI.O 
lOi.O 

100,9 

101.0 

100.9 

100.9 

100 

loo 

100.8 

100.8 
100.8 
100.7 

100.8 

100.7 

100.7 
100.6 
100.6 
100.6 
100.6 
I0O-6 
100.5 
100.5 


''2 

>.8 


ft 


10.694  181 1 
6940791 
6930772 
6938753 
693  7734 
6936716 

10.693  5697 
693  4679 
6933661 
693  2644 
693  1627 
6930609 

10.692  9593 
69a  8S76 
6927560 

6926544 

692  5528 

692  45i2 

ioi>92  3497 

692  2402 

693  1467 
692  0452 
691  9438 
691  8424 

10.691  74io 
691  6Jg6 
691  5383 
691  4370 
691  3357 
691  2344 

10.691  1 332 
691  o32o 
6909808 
69082 
69072; 
6906274 

10.690  5263 
69o4aSa 
6903341 

690  223l 
690  1221 
6900212 

10.689  9'*^^ 

68981  " 

6897' 
6896175 
6895167 
6894159 

10.689  3i5i 

6892143 
6891186 
6800128 
6889121 
6888114 
10.6887108 
6886102 
6885096 
6884090 

688  3o«4 

688  2079 

10.688  1074 


9.314  88S1 
8149914 

3i5o977 
3i5  2o4o 
3i5  3io2 
3i54i64 

9.8155226 
8156288 
8157849 
3i5  84io 
8159471 
3i6o532 

9.816  1592 
8162652 
3168712 
8164772 

3 16  5832 
8166891 

9.8167950 
8169009 
8170067 

817  1135 

817  2184 
8178241 
9.31743 

317  5356 
8176418 
3177470 
8178537 
317  9583 

98180640 
8181696 
8182751 
8188807 
3i8  4862 
3i8  5917 

9.8186973 
8188026 
8189081 
8190135 
8191188 
8192349 

9.8198395 
8194349 
8195401 
8196454 
8197507 
8198559 

9.8199611 
8300662 
820  1714 

820  2765 
8208816 
330  4867 

9.330  5918 

8206968 
3208018 
8209068 

821  0117 
321  1167 

9.821  2216 

•ei»4aog. 


liiCl" 


106.8 
106.8 
106.3 
106.2 
106.2 
106.2 
106.2 
106.1 
106.1 
106.1 
106.1 
106.0 
106.0 
106.0 
106.0 
106.0 
105.9 
105.9 
loS.o 
loS.o 
io5.8 
105.9 
io5.7 
io5.8 
io5.7 
io5.7 
io5.7 
io5.7 
io5.6 
io5.7 
io5.6 
io5.5 
io5.6 
io5.5 
io5.5 
io5.5 
105-4 
io5-5 
105.4 
io5.3 
io5.4 
io5-3 

105.4 
io5.3 
io5.8 
io5.8 
io5.2 
io5.2 
loS.i 
loS.a 
io5.i 
io5.i 
io5.i 
io5.i 
io5.o 
io5.o 
io5.o 
104.9 
io5.o 
104.9 


OfMUlg. 


we. 


I0.685  1 149 
685  0086 
684  9oa3 

684  7  ' 
684 
684  58 

10.684  4774 
6843712 
684  265 1 
684  1590 
684  o52o 
6889468 

10.683  8408 
683  7348 
683  6288 
683  5238 
6884168 
683  8109 

10.683  2o5o 
6880991 
6829933 
682  8875 
6827816 
682  6759 

10.682  5701 
682  4644 
682  8587 
682  253o 
682  1473 
682  0417 

10.681  9860 
681  83o4 
681  7349 
68]  6198 
681  5i38 
68i4o83 

10.681  8028 
681  1974 
681  0919 
6609865 
6808813 
680  7758 

10.680  6-7o5 
680  565 
6804599 
680  3546 
680  2498 

6801441 

10.6800889 

679  9338 

679  8286 

6797235 

6796184 

6795133 

10.679  4082 

679  8082 

679  198a 

679  0982 

6789883 

678  8883 

10.678  7784 


^ 


10.0090662 
0706 
0749 
079J 
0886 
0880 

10.0090928 
0967 

lOIO 

io54 
1098 
ii4i 

10.0091 1 85 
1228 
1272 
i3i6 
1 35 
i4o 

10.0091447 
1 40" 
1 534 
1578 
1621 
i665 

10.0091709 
1753 

1796 
1840 

1884 

1938 

10.0091971 

20i5 

aoSo 
2108 

2147 
2190 
10.00922J4 
2278 
2822 
2366 
a4io 

2454 

10.0092498 
2542 
2586 
3629 
2678 
3717 

10.0092761 
a8o5 
2849 
a8o3 
3987 
2981 

10.0098026 
3070 
3ii4 
3i58 
8202 
8246 

10.0098290 


41' 


U 
4.3 

4 
8 

4 
3 

4 
3 

44 
4 
8 

4 
3 

4 
4 
3 

4 
4 
3 

4 
4 
3 

4 
4 
4 
8 
4 


e<Hi«e. 


co-«in. 


9.9909888 
9204 
925 
9207 
9164 
9120 

9.9909077 

uo83 

?99" 
8946 

8903 

885o| 

9.9908815 

8773 
'8728 

8684 
8641 
8507 
9.9908553 
85io 


d.1" 


8466 

843  2 

887? 
8835 
9.990829 

8247 
8204 
8160 
8116 
8072 

9.9908029 
7985 
7941 
7897 
7853 
7810 

9,9907766 
7722 
7678 
7684 
7590 
7546 

9.9907503 
7458 

7414 
7871 
7827 
7288 

9.9907289 
7195 
7i5i 
7107 
7068 
7019 

9.9906974 
6980 
6886 
6842 
6798 
6754 

9.9906710 


■in. 


20 
5o 
4o 
3o 
20 
10 

ly 

5o 
4o 
3o 
20 
10 
18' 
5o 
4o 
3o 
20 
10 
17 
5o 
4o 
3o 
30 
10 
16 
5c 
4o 
80 
20 
10 

ir.' 

5o 
4o 
80 
20 
10 
14 
5o 
4o 
3o 
20 
10 
13 
5o 

4( 
3o 
20 
10 
12 
5o 
4o 
80 
20 
10 
II' 
5t) 
4o 
3o 
20 
10 
10' 


1010 


780 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


229 


110 


I68O 


fin. 


50' 
10 
20 
3o 
40 
5o 

51' 
10 
20 
3o 
4o 
5o 

52 
10 
20 
80 
40 
5o 

5:t' 
10 
20 
80 
40 
5(> 

54 
10 
20 
3o 
40 
5o 

55 
10 
20 
3o 
4o 
5o 
36 
10 
20 
80 
4o 
5o 
57' 
10 
20 
3o 
40 
5o 
58' 
10 
20 
3o 
40 
5o 
59 
10 
20 
3o 
40 
5o 

160' 


diCl" 


9.811  8926 
3ii  9981 
3i2  0985 
3i2  1940 
3i2  2944 
8128948 

9.8124951 
3i2  5955 
8126958 
812  7961 
8128968 

312  9966 
9.8180968 

3i3  1970 
8i3  2971 

3 1 3  3978 
8184974 
3i3  5975 

9.8186976 
818  7976 
3188976 
8189976 
8140976 
3i4  1976 

9.814  2975 
8148974 
8144973 
8145971 
8146969 

8147967 
9.8148965 
8149968 
8  r  5  0960 
3i5  1957 
3i5  3954 
3i5  8951 

9.8154947 
8155943 
8156989 
8157935 
8158980 
8 1 5  9926 

9.8160921 
3i6  1915 
8162910 
8168904 
8164898 
8165892 

9.3166885 
8167879 
8168872 
8169864 
8170857 
817  1849 

9.817  2841 
817  3883 
8174825 
3i7  58i6 
8176807 

3i7  7798 
9.8178789 


co-sec 


co-tin. 


00.5 
00.4 
00.5 
00.4 
00.4 
00.3 
00.4 
00.3 
00.8 
00.2 

00.3 

00.2 

00.2 

00: 1 

00.2 

00.1 

oo.i 

00. 1 

00.0 

00.0 

00.0 

rx>.o 

00.0 

99.9 

99.9 

99.9 

99.8 

99.8 

99.8 

99.8 

99.8 

99-7 

99-7 

99-7 

99-7 

99.6 

99.6 

99.6 

99.6 

99.5 

99.6 

99.5 

99.4 

99.5 

99.4 

99.4 

99.4 

998 

99.4 

99.3 

99.2 

99.8 

99.2 

99.2 

99.2 
99.2 
99.1 
99.1 
99.1 
99.1 


10.688  1074 
6880069 
6879065 
6878060 
687  7o56 
6876052 


9.821  2216 
821  8265 
821  43i4 
821  5362 
821  6410 
821  7458 


10.687  5o49  9.821  85o6 
6874045  8219554 


tang. 


dif.l" 


687  8o42 
687  2089 
687  1087 
6870084 

10.6869082 
686  8o3o 
686  7029 
6866027 
686  5026 
686  4025 

10.686  3o24 
686  2024 
686  1024 
6860024 
6859024 
685  8024 

I0.685  7025 
685  6026 
685  5027 
685  4039 
685  8o3i 
685  2o33 

I0.685  io85 
685,0087 
684  9040 
684  8o48 
684  7045 
684  6o4 

I0.684  5o5 
684  4o57 
684  3o6i 
6842065 
684  1070 
6840074 

I0.683  9079 
6888085 
6887090 
6886096 
683  5io2 
688  4io8 

10.688811 5 
688  2121 
6881128 
6880186 
682  9148 
6828151 

10.682  7159 
6826167 
6825175 
682  4i84 
6828198 
682  2202 

10.682  1211 


dif.l" 


■ec 


8220601 
822  i648 
822  2695 
822  3742 

9.822  4788 
822  5834 
8226880 
822  7926 
822  8971 
8280016 

9.828  1061 
328  2106 
828  3]5i 
3284195 
838  52J9 
8286283 

9.828  7827 
828  8870 
3289418 
824  o456 
824  1499 
824  2541 

9  824  3584 
824  4626 
334  5667 
824  6709 
824  775o 

824  8791 
9.8249832 

825  0873 
825  1918 
825  2958 
825  8998 
825  5o88 

9.825  6078 
8257112 
8358i5i 

825  9190 
8260228 

826  1267 

9.826  23o5 
826  3343 
8264881 
8265418 
8266455 

826  7492 

9.826  8529 
8269566 
8270602 

827  i638 
827  2674 
827  3710 

9.827  4745 

co-tang. 


co-tanf. 


104.9 

104.9 

104.8 

104.8 

104.8 

104.8 

104.8 

104.7 

104.7 

104.7 

104.7 

104.6 

104.6 

104.6 

104.6 

104.5 

104.5 

io4.5 

1045 

1045 

104.4 

104.4 

104.4 

104.4 

io4.8 

io4-8 

104.3 

io4-3 

104.2 

io4.3 

io4.2 

io4-i 

io4.2 

io4.i 

io4-i 

io4-i 

104.1 

104.0 

io4o 

io4.o 

104.0 

io4.o 

108.9 

108.9 

108.0 

108.8 

108.9 

108.8 

108.8 

io3.8 

108.7 

108.7 

108.7 

108.7 

108.7 

io3.6 

108.6 

108.6 

108.6 

io3.5 


784^10. 


sec. 


d.l' 


10.678  7784^10.0098290 


678  6785 
6785686 
678  4638 
678  3590 
678  2542 
10.678  1494 
678  0446 

677  9399 
677  8852 

677  7805 

677  6258 

10.677  5212 

677  4i66 
6778120 
677  2074 
677  1029 
6769984 

10.676  8989' 
676  7894 
676  6849 
676  58o5 
676  4761 
676  8717 

10.676  2678 
676  i63o 
676  0587 
675  9544 
675  85oi 
675  745q 

10.6756416 
675  53-74 
675  4338 
675  8291 
675  2250 
675  1209 

10.675  0168 
6749127 
674  8087 
674  7047 
6746007 
674  4967 

10.674  3927 
674  2888 

674  1849 
6740810 

678  9772 
678  8788 

10.678  7695 
6786657 
678  5619 
678  4582 
678  8545 
6782508 

10.678  1 47 1 
678  0434 
672  9898 
672  8862 
672  7826 
672  6290 

10.672  5255 


8334 
3378 
3422 

3467 

35ii 

10.0093555 


^ 


dif.l" 


tang. 


35 
364 
8687 
3782 
8776 
10.0098820 
8864 

3^ 

8997 

4o4i 

10.0094086 

4180 

4174 
4219 
4263 
4807 
10.0094352 
4396 

4441 
4485 
4529 

4574 

10.0094618 

4663 

4707 
4752 

4796 

4841 

10.0094885 

4980 

4974 
6019 
5o68 
5io8 

10.0095152 
5197 
5241 
5286 
533 1 
5875 

10.0095420 
5464 
5509 

5554 
5598 
5643 
10.0095688 
5782 

5777 

5822 

5867 

5911 
10.0095956 

co-sec 


co-sin. 


9.9906710 
6666 
6622 
6578 
6533 
6489 

9.9906445 
64oi 


4-4 

4.4 

4.4 

4.5 

4.4 

44 

44 

44 

44 

4.5 

44 

44 

44 

4.5 

44 

44 

44 

4.5 

44 

44 

4.5 

44 

44 

4.5 

44 

4.5 

44 

44 

4.5 

44 

4.5 

44 
4.5 
44 
4-5 

159-990511 5 

44 
4-5 

44 
4-5 
4.4 


6357 
63i3 
6268 
6224 

9.9906180 
6i36 
6091 
6047 
6oo3 
5959 

9.9905914 
5870 
5826 
578 

5787 
5693 
9.9905648 
56<,4 
5559 
55i5 

5471 
5426 
9.9905382 
5337 
5293 
5248 
52o4 
5i59 


4-5 
44 
4-5 
4-5 
44 


5070 
5026 
4981 
4087 
4892 
9.9904848 
48o3 


4759 

4714 

4669 

5    4625 

7,9.9904580 

"^"^         4586 


4.4 
4-5 
4.5 
4.4 
4.5 
4-5 


4491 
4446 
44o2 
4857 


T/ 9.990481 3 

4-4  '  ''^  4268 

4228 


4.5 
4.5 
4.5 

44 
4.5 

d.l' 


4178 

4i38 

4089 

9.9904044 


10' 

5o 

4o 

80 

20 

10 

9' 

5o 

4o 

80 

20 

10 

8' 

5o 

4o 

3o 

20 

10 

7' 

5o 

4o 

80 

30 

10 

6' 

5o 

4u 

3o 

20 

10 

5' 

5o 

40 

3o 

20 

10 

4' 

5o 

4o 

80 

20 

10 

3' 

5o 

4o 

80 

20 

10 

2' 

5o 

4o 

3o 

20 

10 

1' 

5o 

4o 

80 

20 

10 

0' 


■in. 


1010 


78° 


290 


LOGAEITHMIC     SINES,     TAN&SNTS,     «&C. 


!«*» 


167° 


itii> 


0' 

10 

4o 
So 
1 

lO 

lillJ 

3o 
4o 

,2* 
m 

3o 
4o 
^So 
3' 

10 

30 

3*1 


4/0 
5o 
4' 

10 
30 

■JPO 

4o 

§1 

Id 

3o 
4o 
So 
6' 

lO 

ao 

3o 
4o 

So 
7' 

10 
30 

3o 

■So 
6' 

lO 

iiiiiJ 

.3o 
4o 

So 

•r 

JO 
20 

4o 

'So 
10* 


9.3178789 

3*7  9780' 
3180770 
3i8  1760 
3i8  2749 
3i8  373 
9.3184731 
3185717 
3186706 
3i8 

3 18  6683 
J18  9671 

9.3190659 

319  1647 
319  a634 
319  3631 
3194608 
3 195595 

9.3 1 9  658 1 
3197567 
3198553 
319  9S3 
Sao  oSa 
3ao  i5io 

9.320  3495 
3ao348o 


dt£ 


,.. 


99.1 

99.0 
99.0 
98.9 
90.0 
9^.9 
98.9 
98.9 

96.8 

98.8 
98.8 

98.7 
98.7 
98.7 
98.6 
98.6 
1!  98  6 
98.6 
98.6 
98.5 
96.5 
98.5 

330  4464  9«-4 

320  ^AAn\  V»-5 


00 WKtfm 


320   5449 

3ao6433 
3207417 
9.3ao  B4o(i 
3ao9384 
331  o367 
331  i35o 
3a I  3333 
32i33«5 


98.4 
98.4 
98.3 

98.4 

98.3 
98.3 
98.3 
98.2 
98.2 


98.3 
98.1 

3ai  92o5|??I 
.3320186  ?2' 


321  7243 
331  8234 


98' t 

98.0 
98.0 
96.0 


323  1 167 
322  2l47 
322  3127 
3334107!  'o„ 

3aa  5087  S« 
9.3336066  97-9 

322  7046  98.0 
322  8025  97-2 

322  9(K)3  9/-° 

^?9982n 
3^30960  97° 

9f  1  '938  97-8 
333  2916  ?7J 
333  3B94I  97-8 

323  48711  97-7 
323  5848  97-7 
3236835  97-7 

9.333780397.7 


eo^in. 


Ml" 


10.683  131 1 

68a  oaao 
681  9230 
6818240 
681  725i 
681  6261 
10.O81  527a 
681  4383 
681  3294 
68t  33o5 
68i  i3i7 
68  r  0339 
10.6809341 
680  8353 
6807366 
6806379 
6805393 
68o44o5 

10.680  3419 
680  2433 
68»  1447 
6800461 
6799475 
6798490 

10.6797505 
679  65  20 
679  5536 
6794551 
679  3567 
679  2583 

10.679  '^*^ 
6790616 
6789633 
6788650 
6787667 
6786685 

10.678  5703 
6784721 
678  3739 
678  3757 
678  1776 
6780795 

10.6779814 
6778833 
6777853 
6776873 
6775893 
6774913 

10.67739349. 
677  2954 
6771975 
6770997 
677  0018 
6769040 

10.676  8063  9 
6767084 
6766106 
6765139 
676415a 
6763175 

10.67631989 


,? 


^.337  4745 
337  5780 
3376815 

327  7850 
337888S 
337991 

^338  095 

328  1987 
328  3o2i 

328  4o54 
3285087 
3286120 

1.3287153 
3288185 
3389218 
3390250 
339  1282 
3292313 

f.3a9  3345 

329  4376 
329  5407 
329  6437 

329  7468 
3298498 

1.329  9528 
33oo558 
33oi588 
3303617 
33o3646 

330  4675 
.33o  5704 
3306732 
3307761 

330  8789 
3309817 

33 1  0844 
.33 1  1872 
33 1  2899 
33 1  3926 
33 1  495a 
33 1  5979 
33 1  7005 
.33 1  8o3i 

33 1  9057 

332  oo83 

333  1 108 
332  2i33 
332  3 1 58 

332  4 1 83 

333  5207 
3326232 
332  7256 
332  8280 

332  93o3 
.333  o327 

333  i35o 
333  2373 
333  3396 
3334418 
333  5440 
.333  6463 


Mtv 


00-tsnf. 


eo-tanf. 


io3,5 

io3.5 

io3.5 

io3.5 

103.4 

fo3.4 

io3.4 

io3.4 

io3.3 

io3.3 

io3.3 

io3.3 

io3.2 

io3.3 

io3.2 

io3.3 

io3.i 

io3.3 

io3.i 

io3.i 

io3.o 

io3.i 

io3.o 

io3.o 

io3.o 

io3.o 

103.9 

102.9 

102.9 

102 

102 

103 

loa 

102.8 

102.7 

102.8 

102.7 

102.7 

102.6 

ioa.7 

102.6 

102.6 

102.6 

ioa.6 

102.5 

102.5 

102.5 

I03.5 

103.4 
102.5 
103.4 
10a  .4 

103.3 

102.4 

103.3 

102.3 
ioa.3 
103.3 
102.2 
102.3 


1.8 
1.8 


diCl" 


10.672  5255 

672  4320 

673  3 1 85 
673  3i5o 
673  iiiS 
6720081 

10.671  0047 
671  801 3 
671  6970 
671  5940 
671  4913 
671  388o 

10.671  2847 
671  181 5 
671  0783 
6700750 
0708718 
6707687 

10.6706655 
6705634 
6704593 
670  3563 
670  2532 
670  l502 

10.6700472 

669944a 
6698412 

6697383 

6696354 
669  5335 

10.66942 
66933 
6692239 
669  1211 
6690183 
668qi56 

10.6688128 
6687101 

6686074 
668  5o48 
6684o3i 
6662995 
10.666  1969 
6680943 

6679017 
6678892 
667  780 
6676842 

10.6675817 
667  4793 
6673768 
667  2744 
667  1720 
6670697 

10.6660673 
666865o 
6667627 
6666604 
666  5582 
666  4560 

10.666  3537 


10.0095956 
6001 
6046 
6090 
6i35 
6180 

10.0096335 
6370 
63i4 
6359 
64o4 
6449 

10.0096494 

6584 
6639 
6673 
6718 

10.0096763 
6808 
6853 
6898 
6943 
6988 

10.0097033 
7078 
7133 
7168 
73i3 
7358 

10.0097303 
7349 
73§4 
7439 

7484 
7529 

10.0097574 
7619 

7664 
7710 
7755 
7800 
10.0097845 


d.1" 


7981 
8026 
8071 

10.0098117 
8163 
8307 
8252 
8298 
8343 

IO.OOQ8388 
8434 
8479 
8524 
8570 
861 5 

10.0098661 


tanf. 


4 

4 

4 

4 

4 

4 

4 

4 

4 

4 

4 

4 

4 

4. 

4< 

4. 

4. 

4. 

4 

4 

4 

4 

4 

4 

4 

4 

4. 

4. 

4 

4. 

4. 

4. 

4. 

4. 

4 

4 

4 

4 

4. 

4 

4. 

4. 

4. 

4 

4 

4 

4 

4 

4 

4 

4. 

4. 

4. 

4. 

4. 

4. 

4. 

4 

4 

4 


CIMIlll. 


5 
•4 
.5 
.51 
.5 
.5 
.4 
.5 
.5 
.5 
.5 
.5 

4 
5 
5 

.5 
5 
5 

.5 

.5 

.5 

.5 

.5 

.5 

.5 

.5 

.5 

.6 

,5 
5 
5 
5 

.5 

.5 

.5 

.6 

.5 

.5 

.5 

,5 

6 

.5 

.5 

.5 

.6 

.5 

.5 

.5 

.6 

.5 

.5 

.6 

.5 

.5 

.6 

.5 


c  9.9904044I6O' 

3910 

3865 

3820 
9.9903775 

3730 

3666 

364 

3596 

355 1 
9.9903506 

3461 

3416 

3371 

3327 

3282 
9.9903237 

3192 

3i47 

3l02 

3o57 

3012 

9.9902967 

3022 

2877 

2832 

3787 

3742 

9.9903697 

365 1 
2606 
256i 
a5i6 

347 1 
9.9902426  54' 

238i  " 

2336 

2290 

2245 

2200 
9.9902155 

2110 

3064 

2019 

1974 

1029 

9.9901883 

i838 
1793 
1748 
1702 
1657 
9.9901 61 2 
i566 

l52I 

1476 
i43o 
i385 
9.9901339 


5o 
4o 
3o 
20 
10 
50 
5o 
4o 
3o 
20 
10 
.-)8' 
5o 
4o 
3o 
30 
10 
57' 
5o 
4o 
3o 
20 
10 
56 
5o 
40 
3o 

30 

10 

155' 
5o 
40 
3o 
20 
10 


5o| 

40 
3o 
20 
10 

53' 
5o 
4o 
3o 
20 
10 

52' 
5o 
4o| 
3o 
20 
10 

51' 
5o 
4o 
3o 
20 
10 

'SO' 


e»^e.      d.r 


i<n« 


7TO 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


231 


12° 


167«> 


sin. 


10' 
10 
20 
3o 
4o 
5o 
11' 
10 
20 
3o 
40 
5f) 
12 
10 
20 
3( 
40 
5() 
13 
10 
20 
3{ 
4<> 
5o 
14' 
10 
20 
3o 
4o 
5o 
15' 
10 
20 
3o 
4o 
5o 
16 
10 
20 
3o 
40 
Sol 
17 
10 
20 
3o 
4o 
5o 
18' 
10 
20 
3o 
40 
5o 
ID 
10 
20 
3( 
40 
5o 
20' 


dif.l" 


9.323  7802 
323  8778 

323  97.55 
3240731 

324  1707 
324  2682 

9.324  3657 
324  4633 
324  5607 
3246582 
324  7556 

324  8531 
9.3^4  95o5 

325  0478 
325  i452 
325  2425 
325  3398 
325  437' 

9.325  5344 
325  63i6 


97.6 
97.7 
97.6 
97.6 
97.5 
97.5 
97.6 
97-4 
97.5 

97.4 
97.5 

97.4 
97.3 

97-4 
97.3 
97.3 
97.3 

97.3 
97.2 


325  7288  97-2 


325  8260 
3^59232 
326020! 

9.326  1 174 
3262145 

326  3!i6 
326  4087 
326  5o57 
3266027 

9.3266997 

326  7966 
3268936 
3269906 

327  0874 
327  1843 

9.327  2811 
327  3779 
327  4748 
3275715 
327  6683 
327  765o 

9.3378617 

327  9584 
328o55i 
328i5i8 

328  2484 
328  3450 

9.328  44 1 6 
328  538i 

328  6346 
3287312 
3288276 
3289241 

9.329  0206 

329  1 170 
3292134 
3293098 
329  4o6i 
329  5o24 

9.329  5988 


co-«in. 


97.2 

97.2 

97- 1 

97.1 

97-1 

97.1 

97.1 

97.0 

97.0 

97.0 

96.9 

97.0 

96.9 

96.9 

9^2 
96.8 

96.8 
96.9 
96.7 
96.8 
96.7 
96.7 
96.7 
96.7 
96.7 
96.6 
966 
96.6 
96.5 
96.5 
96.6 
96.4 
96.5 
96.5 
96.4 
96.4 
96.4 
96.3 
96.3 
96.4 


eo-sec 


tang. 


10.676  2198 
676  1222 
676  0245 
675  9260 
675  8293 
6757318 

10.675  6343 
675  5367 
675  4393 
675  3418 
675  2444 
675  1469 

10.675  0493 
6749522 
674  8548 
674  7575 
6746602 
674  5629 

10.674  4656 
674  3684 
674  2712 
674  1740 
674  0768 
673  9797 

10.673  8826 
673  7855 
673  6884 
673  5913 
6734943 
673  3973 

10.673  3oo3 
673  2o34 
673  1064 
673  0095 
6729126 
6728157 

10.673  7189 
6726221 

672  5252 

672  4285 

672  33 1 7 
67a  235o 

10.673  1 383 

673  04 1 6 
671  9449 
671  8482 
671  75i6 
671  655o 

10.671  5584 
671  4619 
671  3654 
671  2688 
671  1724 
671  0759 

10.6709794 
670  88  3o 
670  7866 
6706902 
670  5930 
670  4970 

10.6704012 


dif.!" 


diCl" 


sec. 


..333  6463 
333  7484 
333  85o6 

333  9528 

334  0549 
334  1 570 

(.334  2591 
334  36ri 
334  463  r 
334  5652 
3346671 
334  7691 

1.334  8711 

334  9730 

335  0749 
335  1768 
335  2786 
335  38o5 

^335  4823 
335  584 1 
335  6859 
335  7876 

335  8893 
3359910 

?.336  0927 

336  1944 
336  2960 
336  3977 
3364993 
3366008 

^.336  7024 
336  8039 

336  9054 
3370069 

337  1084 
337  2099 

^.337  3ii3 
3374127 

337  5i4i 
3376154 
3377168 
3378181 

^.3379194 

338  0207 

3381219 
338  2232 
338  3244 
338  4256 
^.338  5267 
338  6279 
338  7290 

338  83oi 
3389313 
3390323 

^.339  t333 

339  2343 
339  3353 
339  4363 
339  5372 
3396382 

9.339  7391 


co-tang. 


I03.I 

ro3.3 
102.2 
102.1 
102. 1 
102.1 

I03.0 

102.0 
102. 1 
IOI.9 
102.0 
102.0 
101.9 
IOI.9 

lOI. 

101. 
rol.9 
101.8 
IOI.8 

101.8 

101.7 
101.7 

lOI 
lOI 
lOI 
lOI 

101 

I0I.6 

IOI.5 

IOI.6 

101.5 

101.5 

101.5 

101.5 

101.5 

101.4 

101. 4 

101.4 

101.3 

101.4 

101.3 

101.3 

101.3 

101.2 

101.3 

101.2 

101.2 

101. 1 

101.2 

101 

lOI 
lOI 
lOl 

loi.o 
101.0 
101. o 

lOI.O 

100.9 
101. o 
100.9 


■ec. 


eo-tang. 


10.666  3537 
666  25i6 

6661494 
666  0472 
6659451 
665  843o 

I0.665  7409 
665  6389 
665  5369 
665  4348 
665  3329 
665  2309 

10.665  1289 
665  0270 
6649251 
664  8232 
6647214 
664  6195 

10.6645177 
6644169 
6643i4i 
664  2 1 24 
664  1 107 
6640090 

I0.663  9073 
663  8o56 
663  7040 
1663  6023 
663  6007 
663  3992 

I0.663  2976 
663  1961 
6630946 
662  993 
662  8916 
662  7901 

10.662  6887 
662  5873 
662  4859 
662  3846 
6622832 
662  1819 

10.662  0806 
661  9793 
661  8781 
6617768 
661  6766 
661  5744 

10.661  4733 
661  3721 
661  2710 
661  1699 
6610688 
6609677 

10.660  8667 
6607667 
6606647 
660  5637 
6604628 
66o36i8 

10.660  2609 


d. 


dif.l" 


10.0098661 
8706 
8761 
8797 
8842 
8888 

10.0098933 
8979 
9024 
9070 

9"5 
9161 

10.0099206 
9263 
9297 
9343 
9388 
9434 

10.0099479 
9626 
9671 
9616 
9662 
9707 

10.0099753 

9799 

9844 
9800 
9936 
10.0099981 
10.0100027 
0073 
0119 

0164 

0210 

0256 

io.oioo3o2 

o347 
0393 
0439 
o485 
o53i 

10.0100677 
0622 
0668 
0714 
0760 
0806 

10.0100862 
0898 

0944 
0990 
io35 
1081 
10.0101127 
1173 
1219 
1265 
i3ii 

i357 

io.oioi4o3 


oo-<in. 


tans. 


4.5 

4-5 

4.6 
4.5 
4.6 
4.5 
4.6 
4.5 
4.6 

4.5 

4.6 

4.5 

4.6 

4.5 

4.6 

4-5 

4-6 

4-5 

4-6 

4-6 

4-5 

46 

4-5 

4-6 

4-6 

4.5 

4.6 

46 

4-5 

46 

4-6 

4-6 

4-5 

46 

4-6 

4-6 

4-5 

4-6 

46 

4-6 

4-6 

4-6 

4-5 

4.6 

4-6 

4-6 

4.6 

4-6 

4-6 

4-6 

4-6 

4-5 

4.6 

4-6 

4.6 

4.6 

4-6 

4-6 

4.6 

4.6 


9.9901 339 
1294 

1340 
I30J 

ii58 

1112 

9.9901067 

1021 


.50' 
5o 
40 
3o 
20 
10 

49' 
5o 
4o 
3o 


co-sec 


0976 

0930 

o885 

0839 
9.9900794  48' 

0748  ' 

0703 

0667 

0613 

o566 
9.9900621 

0475 

0429 

o384 

o33S 

0293 

9.9900247 

0201 

01 56 

Olio 

0064 
9.9900019 
9.989997  i  45' 

9927 
9881 
9836 
9790 
9744 

9.9899698 
9653 
960-y 
9661 
9616 
9469 

9.9899423 
9378 
933 
9286 
9240 
9194 

9.9899148 
9102 
9o56 
9010 
8965 
8919 

9.9898873 
8827 
8781 
8735 
8689 
8643 


d.1" 


20 
10 


5o 
4o 
3o 
30 
10 
47' 
5o 
4o 
3o 
20 
10 
46' 
5o 
4o 
3o 
20 
10 


5o 

4o 

3o 

20 

10 

144' 

5o 

4o 

3o 

20 

10 

H3' 

60 

4o 

3o 

20 

10 

42' 

5o 

4o 

3o 

20 

10 

41' 

5o 

40 

3o 

20 

10 


9.9898697  40' 


sin. 


. 


102° 


770 


I  ><i'i*l!l^ 


232 


LOGAEITHMIC     8IN1S,    TAlfOENTS,    &C. 


IHP 


ie7<= 


■in. 


diCl" 


lO 
30 

.30 
40 
!ki 
hil' 
10 
20 
3o 
40 
5o 
•22' 
10 
30 
3o 
4o 
5o 
i3' 
10 
30 
3<.» 
4o 
5o 
24'' 
10 
?o 
3o 
4o 

10 

30 

3( 

4<"> 

5o 

'Hi 

10 

30 

3o 

4<» 

5c 

■!7' 

10 

30 
^^ 
40 
5o 


9.339  5988 
339  6950 
3397913 
339  8875 
339  9838 
33oo8oo 

9.330  1761 
33o  3723 
33o3684 
33o  4645 
33o  56o6 
33o  6567 

9.330  7537 

3308487 

330  9447 

33 1  o4o7 
33 1  1 367 
33i  3326 

9-331  3385 
33 1  4^44 
33 1  52o3 
33t  616! 
33 1  71 19 
33 1  8077 

9.331  9035 
33 1  9993 
333  0930 
333  1007' 
333  3864 
333  3830 


co-scc. 


96.3 

96.3 
96.3 
96.3 
96.2 

"&' 

9^» 
96.1 

96.1 
96.1 
96.1 

96.0 
96.0 
96.0 
96.0 
96,0 

95.9 

91.9 

95.9 

95.8 
95.8 
95.8 
95.8 
95.8 
95.7 
95.7 
95.7 

95.6 
95.7 


10.6704013 
G7o3o5o 
670  2087 

670  1135 

6700163 
6699300 


10.669  6239  9.340  3441 


tMlg. 


mil" 


9.339  7391 

339  8400 
3399409 
3400417 
340 14^5 

340  3433 


6697377 
6696316 
6695355 

6694394 

6693433 

10.669  2473 

669  t5i3 

o553 


9.332  4777!  '5  ^ 
332  5733!  ^c  ft 

3337645    "cr 


332  86f)o 

332  9')S6 
9.333  o5i  I 

333  1 466 

333  3430 
333  3375 
333  4320 
333  5283 

9  333  6? 37 
3  3 ''  7 1 9f'> 

333  8144 
3339097 
33:|oo5o' 

334  1002 
■ii'!y.334  1955 

(ol  334  3907 
334  3.H59 
3344811 
334  5763 
3346714 


20 

5o 

2>' 

10 

30 
3o 
4o 

30 

Mr 


65.5 
95.6 
95.5 
75.5 

95.4 

91.5 
95.4 
95.4 
95.4 
95.3 

954 
95.3 
95.3 
95.3 
95.3 
95.3 
95.3 
95.3 
95.3 
95.1 


668 

6687674 

io.6686715 

668  5756 

668  4797 
668  3839 
668  3881 
668  1923 

10.668  0965 
6^>8ooo7 
667  ooSo 
6678093 
6677136 
667  '^rSo 

10.667  5'^ 2 3 
667  4367 
6673311 
66-  2355 
667  1 400 
6670444 


340  4449 
340  5456 
3406464 
340  7471 

340  8477 

9.340  9484 

34 1  0490 
341  1496 
34i  a5o2 
341  35o8 
341  45 1 4 

9.341  5519 
34 1  6524 
34i  7529 
341  8534 

34 1  9538 
343  o543 

9.342  i546 

342  355o 
3  f2  3554 

343  4557 
343  556o 
34^  6563 

9.343  7566 
3428569 

342  9571 

343  0573 
343  1575 
343  357-' 


eo-tang. 


100.9 

100.9 

100.8 

100.8 

100.8 

100.8 

100.8 

100.7 

100.8 

100.7 

I00.6 

1007 

100.6 

1006 

100.6 

1006 

100.6 

100.5 

too  5 

100.5 

100.5 

ioo.4 

100.4 

100.4 

100.4 

100.4 

100.3 

100.3 

100.3 

100.3 

100.3 


10.660  2609 
660  1600 
6600591 
6-59  9583 
6598575 
659  7567 

10.6596559 
659  555i 
6594544 
6593536 
659  2539 
659  1 53  J 

io.65oo5i6 
658  9510 
658  85o4 
6587498 


Me. 


d.l" 


io.oioi4o3 
1449 
1490 
1 543 
i588 
i634 

io4>ioi68o 
1736 
1773 
i8t8 

1864 
1910 
10.0101957 
3oo3 
3o4q 
3093 


e».«in. 


4-6 '•''IS? 


4.7 
4.6 
4.6 

4S 
4.6 


85o4 
8458 

84i2 

8366 

5;^  9.98^320 

4.6 


9  334  766519^-; 
3348616  ??■' 


334  9567 

335o5i7 

335  1 468 
3353418 

9.335  3368 


e«HiiD. 


9*).! 
95.0 
95.1 
95.0 
95.0 

diCl' 


666  8534 
666  758o 
6666625 
6665671 
6664717 

o.t566  3763 
666  2810 
666i856 
6660903 
6659950 
665  899*^ 

io.665  8o45 
665  7093 

6656i4i 
6655189 
665  4237 
665  3286 

10.665  2335 
665  1 384 
665  0433 
664  9483 
664  8532 
664  7582 

10.664  6633 

•ec. 


6586403     ai4i 
658  5486     3188 

io.658  448 1  10.0103334 
658  3476     2380 


10.666948993433571: 

3434580 

343  558i 
343  6582 
343  7582 

343  8583 

9.343  9503 

344  o5d3 
344  1 583 
344  25B3 
344  3582 
3444581 

9.344  55Ko 
3446579 
3447578 

344  8576 

3449574 

345  0572 

9.345  l570 
345  2568 
345  3565 
345  4562 
345  5559 
345  6556 

9.345  7553 

oo-tanf. 


100.2 
iOO.3 

1 00.2 

100.3 
fOO.l 
100.3 
1 00.1 
fOO.l 
100.0 
1001 

1 00.0 
100.0 
100-0 

lOO.O 

999 

999 

999 

999 
99.0 

99? 
99.8 

99.8 

99.8 

99.8 

99.7 

99-7 
997 
99-7 
99.6 


658  3471 
658  1466 
658o46» 
657  0458 

I0.657  8454 
657  7450 
657  6446 
657  5443 
657  4440 
657  343: 

I0.657  2434 
657  143 
657  0429 
6569437 
6568435 
656  7423 

10.6566433 
656  5420 

656  4419 
656  3418 
656  3418 

656i4i7 

io.656o4i7 

6559417 

655  8417 
6557417 
655  6418 

655  5419 

I0.655  4420 

655  3431 

655  3423 

655  1424 

655  0426 

654  0428 

10.654  8430 

654  7433 

6546435 

654  5438 

654  4441 

654  3444 

10.654  2448 


4.6 
4.6 
4.6 

4.7 
4.6 
4.6 
4.6 
4.6 

4.7 
4.6 
4-6 


8374 
8228 
8182 
8i36 
8090 
9.9898043 

7997 
7951 

79«>5 
7659 
7812 


9.9897766 


di£l" 


3336 
2373 
3419 

3465 

10.0I035l  I 

2556 
3604 
265o 
3697 
2743 

10.0103789 
3836 
2882 
2928 
2975 
3o3i 

io.oiodo68 

3ii4 
3i6i 
3307 
3353 
33oo 
io.oio3346 
3393 
3439 
3486 
3532 

357 
10.0I0363 

3672 

3719 
3765 
38i3 
3858 

10.0103905 
3953 
3998 
4045 
4093 
4i38 

io.oio4i85 


co-sec. 


4-6 

4-7 
4-6 
46 
4-6 

4-7 
4-6 
46 
4.7 
4-6 
4-6 

4-7 
4-6 
4-6 
4.7 
4-6 

4.7 
46 

4.7 
4-6 
4-6 

4-7 
4.6 

4.7 
4-6 

4.7 
4.6 

4.7 
4.7 
4-6 

4.7 
4.6 

4.7 
4.6 

4.7 
4.7 
4.6 

4.7 
4.7 

4.6 
4.7 

d.1" 


7720 

7674 
7627 
758i 
7535 
9.9897489 
744a 


73o6 
735o 

7257 
9.9897311 
7164 
7118 
7073 
7025 
6979 
9.989693? 
6H86 
6830 

6793 

6747 
6700 

9.9896654 
6607 
656 1 

65i4 
6468 
6421 

9.9896374 
6328 
628  f 
6235 
6188 
6142 

9.9896095 
6048 
6002 
5955 


9.9895815 


40' 
5o 
4o 
3o 
30 
10 
3J)' 
5o 
4o 
3o 
30 
10 

;te 

5o 
4o 
3u 
30 
10 
37 
5o 
4o 
3t 

30 
10 

5o 
40 
3o 
20 
10 
35 
5o 
40 
3o 
20 
10 
34' 
5o 
4o 
3a 

30 
10 

33 

5o 
40 
3o 
20 
ro 
32 
5t 
4o 
3<» 
20 
io| 
31 
5o 
4" 
3o 
30 
10 
30' 


no. 


102° 


770 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


233 


ia« 


l«7o 


30' 
10 
20 
3o 
4o 
5o 
31' 
10 
20 
3o 
40 
5o 
32' 
10 
20 
3o 
4o 
5o 
33' 
10 


Bin. 


dif.l" 


20 
3c) 
40 
5o 
34' 
10 
30 
3o 
40 

35 

10 

30 

3o 
4o 
5o 
.i6 
10 
20 
3o 
4o 
5() 
37 
10 
20 
3c 

4<> 
5o 

38' 
10 
20 
3o 
40 
5o 

3!>' 
10 
20 
3o 
4( 
5(. 

40 


9.335  3368 
3354317 
335  5267 
3356216 
3357165 

335  8ii3 

9.335  9062 
3360010 

336  0958 
336  1906 
336  2854 
336  380I 

9.336  4749 
336  5696 
3366643 
336  7589 

336  8535 
3369482 

9.337  0428 

337  1 373 
337  23i9 
337  3i64 
337  4209 
337  5(54 

9.337  6099 
337  7043 
337  7987 
3378931 

337  9875 
3380819 

9.338  1763 

338  27o5 
338  3648 
3384591 
338  5533 
338  6476 

9.3387418 

338  8359 
3389301 
3390343 

339  1 1 84 

339  2125 

9  3393065 

3394006 

3394946 

339  5887 

3396826 

339  7766 

9.3398706 

339  9645 

340  o584 
340  1 523 
340  2462 
3.40  3400 

9.340  4338 
34o  5276 
3406214 
340  7 1  52 
340  8089 
34o  9020 

9.340  9963 


94.9 
95.0 
94.9 
94.9 
94.8 
94.9 
94.8 
94.8 
94.8 
94.8 

94-7 
94.8 

94-7 
94.7 
94.6 
94.6 

94-7 
94.6 
94-5 
94.6 
94-5 
94.5 
94-5 
94.5 
944 
94.4 
94.4 

94.4 
94.4 
94.3 
94.3 
94.3 
94.3 
94.2 
94.3 
94.2 

941 
94.2 

94-2 
94.1 
94.1 
94.0 

94.1 
94.0 

94.1 
93.9 
940 
94.0 
93.9 
93.9 
9.3.9 

93.8 
93.8 
93.8 
93.8 
93.8 
93.7 
93.7 
93.7 


co-8ec. 


tang. 


diCr 


I0.6646632 
664  5683 
664  4733 
664  3784 
664  2835 
664  1887 

10.664  0938 
663  9990 
663  9042 
663  8094 
663  7146 
6636199 

10.663  525i 
663  43o4 
663  3357 
663  2411 
663  1 465 
663o5i8 

io.662  9572 
6628627 
6627681 
662  6736 
662  579 
662  4846 

10.662  3901 
662  2957 

662  20l3 
662  1069 

6()2  0123 

661  9181 

10.661  8238 

661  7295 

661  6352 
661  5409 
661  4467 
661  3524 

10.661  2582 

661  1641 
661  0699 
6609757 

6608816 
6607875 

10.6606935 
660  5994 
660  5o54 
66o4»i3 
66o3i74 
660  2234 

10.660  I2q4 
66t)  o355 
6599416 
659  8477 
659  7538 
6596600 

10.659  5662 
659  4724 
659  3786 
659  2848 
659  1911 
659  0974 

10.6590037 


co-sin. 


difil" 


9.345 
345 
345 
346 
346 
346 

9.346 
346 
346 
346 
346 
346 

9.346 

347 
347 
347 
347 
347 

9.347 
347 
347 
347 
347 
348 

9.348 
348 
348 
348 
348 
348 

9.348 
348 
348 
349 
349 
349 

9-349 
349 
349 
349 
349 
349 

9-349 
35o 
35o 
35o 
35o 
35o 

9-35o 
35o 
35o 
35o 
35o 
35i 

9.351 
35i 
35 1 
35i 
35i 
35i 

9.351 


aec. 


7552 
8549 
9545 

o54i 
i536 

2532 

3527 
4522 

55i7 
65i2 
7506 
85oo 

9494 
0488 
1482 
2475 
3469 
4462 
5454 
6447 
7439 
8432 

9424 
o4i5 

1407 
2398 
3389 
438o 

5371 
6362 
7352 
8342 
9332 

o322 

i3ii 

33oi 
3290 

4279 

5267 
6256 

7244 
8232 
9220 
0208 
1195 
2i83 
3i70 
4i57 
5i43 
6i3o 
7116 

8l03 

9088 
0074 
1059 
3045 
3o3o 
4oi4 

4999 
5984 
6968 


99-7 
99.6 

99.6 

99.5 

99.6 

99.5 

99.5 

99.5 

99.5 

99.4 

99.4 

99.4 

99-4 

99-4 
99.3 

99.4 

99.3 

99.2 

99.3 

99.2 

99.3 

99.3 

99.1 

99.2 

99.1 

99.1 

99.1 

99.1 

99.1 

99.0 

99,0 

99.0 

99.0 

98.9 

99.0. 

98.9 

$i 

98.9 
98.8 
98.8 
98.8 
98.8 

98.7 
98.8 

98.7 

98.7 
98.6 

987 
98.6 
98.6 
98.6 
98.6 
98.5 
98.6 
98.5 
98.4 
98.5 
98.5 
98.4 


co-tang. 


co-tang. 


difH" 


I0.654  2448 
654  i45i 
654  0455 
6539459 
653  8464 
653  7468 

I0.653  6473 
653  5478 
653  4483 
653  3488 
653  2494 
653  i5oo 

I0.653  o5o6 
652  9512 
652  85i8 

652  7525 

653  6531 
653  5538 

10.653  4546 
652  3553 

652  356i 
653x568 

653  0576 
65 1  9585 

io.65i  8593 
65  £  7603 
65i66ii 
65 1  5620 
65 1  4629 
65 1  3638 

io.65t  2648 
65 1  i658 
65io668 
65o  9678 
65o  8689 
65o  7699 

10.6506710 
65o572i 
65o  4733 
65o  3744 
65o  2756 
65o  1768 

io.65o  0780 

649  9792 

649  88o5 

6497817 
649  683o 
649  5843 

10.649  4857 
649  3870 
649  2884 
649  1898 
649  091 2 
648  9926 

10.648  8941 
648  7955 
648  6970 
648  5986 
648  5ooi 
648  4016 

10.648  3o32 

taiig. 


sec. 


d.1" 


io.oio4i85 
4232 
4278 
4325 
4372 
4418 

I0.0I04465 
45i2 
4559 
46o5 
4652 
4699 

10.0104746 
4793 
4839 
4886 
4933 
4980 

io.oio5o27 
5074 

5l2I 

5167 
52i4 
5261 
10.01  o53o8 
5355 
54o3 

5449 
5496 

5543 

10.0105590 
5637 
5684 
5731 
5978 
5835 

10.0105873 
5919 
5966 
6oi3 
6061 
6108 

io.oio6i55 
6302 
6249 
6296 
6343 
63oi 

10.0106438 
6485 
6532 
6579 
6637 

6674 
10.0106731 
6768 
6816 
6863 
6910 
6958 
10.0107005 


.6 
4.7 
4.7 
4.6 

4 

4 

4 

4 

4. 

4 

4 

4- 

4 

4 

4.7 

4-7 

4-7 

4.7 
4.7 

4.6 

4.7 
4.7 
4.7 
4.7 

4-7 

4.7 

4-7 

4.7 

4.7 
4.7 
4.7 
4.7 
4.7 
4.7 
4.7 
4.7 
4.7 
4.7 

4.8 

4.7 

f  9 
4.7^ 

4.7 

4.7 

4.7 

.8 


4 
4 
4 
4. 
4. 


.8 


co-sin. 


5o 
40 
3o 
30 


30 

10 


5722 
5675 
5628 
5582  10 
■79.989553529' 
■7'^^'^5488  '^ 
5441  . 
5395  3o 

5348  2C 

53oi  ic 
"7  9.9895254  28 
■^  5207  5o 
5i6i  4o 
5ii4  3o 
5067  20 
5o3o  10 

t'9-9894973» 
^  '  4926  5o 

4879  4o 
4833  3o 
4786 
4739 
9.9894692  26 
4645  5o 
45o8  40 
455 I  3o 
45o4  20 

A n  4457  - 

t^  9.989441025' 

4-7  '   4363  5o 

43i6  4o 

4269  3o 

4222  20 

4175  10 

.989412824 

4o8i  5o 

4o34  4o 

3987  3o 

3939  20 

3892  10 

,9893845  23' 

3798  5o 

3731  4o 

3704  3o 

20 

10 

22' 


3657 

3609 

"^  9.9893562 

•7  ^^^351 5 

3468 

3421 

3373 

3326 

9.9893279 

3232 


co-sec. 


■4 

4. 

4. 

4. 

4. 

4.7 

4.7 

4.8 

4.7 


,8 


3i84 
3i37 
3090 
3o43  - 
9.9892995  20 


d.1" 


no. 


5o 
4o 
3o 
20 
10 
21' 
5o 
4o 
3o 
20 
10 


102« 


TTo 


aa 


I! 


234 


LOGARITHMIC     SINES,     TANGENTS,     &C, 


12C 


itno 


WmBU 


10 

ao 
3o 
4o 
5( 
41' 
lo 

20 

3o 

4p 

5o 

142 

lO 

ao 

lO 
20 

3o 
4o 

44' 

lO 
20 

3o 
4o 
5o 

45 

lO 
JO 

3o 

4o 

5o 

46^ 

10 

20 

3o 
4o 

5« 
47' 

lO 
30 

3o 
4o 
5o 
48' 
lo 

20 

3o 
4o 
5o 
4©' 
lo 

30 

3o 

4o 

5o 

50* 


mtv 


40'|934o9963 
34i  oc 
34 1  io36 
34  i  3773 
341  3700 
3414644 

9.341  558o 
341  65ift 
341  745i 
34i8386{ 

341  93a  I 
34a  oa55 

9.342  ii9(J 
34a  aia4 
34a3o58 

342  399a 
342  4o95 
342  5o59 

9.342  6792 
342  7725 
3428657 

342  9590 

343  o52a 
343  1454 

9.343  a 386 
343  33 1  o 
343  4a49 
343  5i8o 
343  61 1 1 
343  7042 

9.343  7973 

343  8903 
3439833 

344  0763 
34i  1693 
344  2623 

9.344  3552 
3444481 
3445410 
344  6339 

344  7267 
3448196 

9.3449124 

345  oo5a 
345  0979 
345  1907 
345  2834 
345  376! 

9.345  4688 
345  561 5 
3456541 
3457467 

345  8393 
3459319 

9.346  0245 

346  1 1 70 
346  2095 
346  3o2o 
3463045 
3464870 

9.346  5794 


eo-sin. 


93.7 
93.6 

93.7 
93.6 
93.5 
93.6 
93.6 
93.5 
93.5 
93.5 

93.4 

93.5 

93.4 

93.4 

93.4 

93.3 

93.4 

93.3 

933 

93.2 

93.3 

93.2 

93.2 

93.2 

93.2 

93.1 

93.1 

93.1 

93.1 

93.1 

93.0 

93.0 

93.0 

93.0 

93.0 

92.9 

92.9 

92.9 

92.9 

92.8 

92.0 

92.8 

92.8 

92.7 

92.8 

92.7 

92.7 

92.7 

92.7 

92.6 

93.6 

92.6 

92.6 

93.6 

93.5 

92.5 

92.5 

92.5 

92.5 

92.4 


«o-Me. 


ioj65o  0037 
658  9100 
6588i64 
5587327 
658  6291 
658  5356 

I0.658  4420 
658  3484 
658  2549 
658  i6i4 
6580670 
6570745 

10.6578810 
657  7876 
657  6942 
6576008 
6575075 
657  4»4i 

ioj657  32i:)8 
657  2275 
657  1 343 
6570410 
656  0478 


diCl" 


tanff. 


9.351  6968 
35i  7952 

35 1  8936 
35i  9919 
35»  0903 

352  1886 

9.352  2869 
352  3852 
352  4835 
352  5817 
352  6799 
352  7781 

9.352  8763 

352  9745 
3530726 

353  1708 
353  26B9 
353  3669 

9.353  465o 
35i563o 
3536611 
353  7591 
353  8571 


6568546  353  9550 


I0.656  7614 
6566682 
656  575i 
6564820 
656  3880 
656  2958 

10.656  2027 
656  1097 
656  0167 
655  0237 
655  83o7 
655  7377 

I0.6556448 
655  5519 
655  4590 
6553661 
655  2733 
655i8o4 


10.65508769.3558126 


3559101 
3560077 
356  io52 
356  2027 
356  3oo2 
9.356  3977 
356  4951 
356  5925 
3566900 
356  7873 

356  8847 
9.3569821 

357  0794 
357  1767 
357  2740 
3573713 
357  4685 

10-65342069.3575658 


6549948 
654  902 1 
654 
6547! 
654  6239 

I0.6545312 
6544385 
654  3459 
6542533 
654  1607 
654  0681 

10-653  9755 
653  883o 
653  7905 
6536980 
653  6o55 
653  5i3o 


dif.  I' 


9.354  o53(> 

354  i5i>9 
354  2488 
354  3467 
3S44445 
3545424 

9.354  6402 
354  738o 
354  8358 

354  9336 

355  o3!  3 
355  1290 

9.355  2267 
355  3244 
3554221 
355  5197 

3556174 
355  7i5o 


■ec. 


984 
98.4 
98.3 

984 
98.3 
98.3 
98.3 
98.3 
98.2 
98.3 
98.2 
98.2 
96.3 
98.1 
96.3 
98.1 
98.0 
98.1 
98.0 
98.1 
98.0 
98.0 
97.9 

98.0 

97-9 
97-9 

97-9 
97.8 
97.0 

97S 

97-8 
97.8 
97-8 

97-7 
97.7 

97-7 
97-7 
97-7 
97.6 
97.7 
97,6 
97.6 
97-5 
97.6 
97-5 
97-5 
97-5 
97.5 
97-4 
97-4 
97.5 
97.3 

97-4 
97.4 
97.3 
97.3 
97.3 
97.3 
97.3 
97.3 


eo-taiif. 


me. 


10.648  3o33 
6482048 
6481064 
648008 

6479097 

6478114 
10.647  71 3 1 
6476148 
647  5i65 
647  4i83 

647  3201 

647  2219 
I0.647  1237 
647  0255 
6469274 
6468292 
646  73i  I 
6466331 
10.646  53  5o 
6464370 
646  3389 
6462409 
646  1429 
646  o45o 
10,645.9470 
645  8491 
645  75 1 2 
645  6533 
645  5555 
6454576 


co-taof. 


dif.l" 


10.0107005 
7053 
7100 

7147 

7194 

7242 

10.0107289 
7336 
7384 
743 1 

7479 
7526 

10.0107573 
7621 
7668 
7716 
7763 
781 1 

10.0107858 
7906 
7953 
8001 
8049 
8096 

10.0108144 
8191 
8239 
8286 
8334 
8382 


d.1 


oo-«m. 


10.6453598  10.0108429 
645  2620  8477 
645 1642  8525 
645  o664  8572 
644  9687  8620 
6448710     8668 

10.6447733  10.0108715 
6446756  8763 
6445779  8811 
644  48o3  8859 
644  3826  8906 
644  2850    8954 

10.644  1874  10.0109002 
644  0899  9o5o 
6439923  9097 
643  8948  9145 
6437973  9193 
6436998     9241 

10.643  6023  10.0109289 
643  5o49  9336 
643  4075  9384 
643  3ioo  9432 
6432127  9480 
643  11 53     9528 

10.6430179  10.0109576 

642  0306     9624 

^  643  8233     9672 

'  64a  7260     9720 

642  65187     9768 

642  53i5  9815 

10.6424342  10.0109863 


tang. 


CO  sec. 


4.7 
4.8 

4.7 
4.7 
4.8 

4.7 
4.7 
4.8 

4.7 
4.8 
4.7 
4.7 
4.8 

4.7 
4.8 

4.7 
4.8 

4.7 
4<8 

4,7 
4.8 
4J& 

4.7i 

4.8 

4.7 
4.8 

4.7 
4.8 
4S 

4.7 
4.8 
4.8 

4.7 
4.8 
4.8 

4.7 
4.8 
4.8 
4.8 

4.7 
4.8 
4.8 
4.8 

4.7 
4.8 
4.8 
4.8 
4.8 

4.7 
4-8 
4.8 
4.8 
4.8 
4.8 
4.8 
4.8 
4.8 
4.8 

4.7 
4.8 


9.9892995 
2948 
2900 
2853 
2806 
2758 

9.9892711 
3664 
a6i6 
3569 
a52i 

2474 

9.9692427 

2379 

3332 

3284 

2237 

3189 

9.9892142 

3094 
ao47 

999 
951 

904 
856 
809 
761 
714 
666 
618 

571 
523 

475 
428 
38o 
332 
285 
237 

189 

i4i 

094 

046 

9.9890998 

o95<j 

0903 

0855 

0807 

0759 

9.98907  II 

o664 


9.989 


9.989 


^989 


0616 
o568 

0520 

0472 
9.9890424 
0376 
0328 
0280 

0232 

oi85 
9.9690137 


d.l" 


■in. 


I2O' 
5o 
4o 
3o 
20 
10 

19 
5o 
4o 
3o 

20 

10 
18' 
5o 
4o 
3o 
20 
10 
17' 
5o 
40 
3o 
ao 
10 
16' 
5o 
4o 
3o 
20 
10 
15' 
5o 
4o 
3o 
20 
10 
14' 
5o 
40 
3o 
20 
10 
13' 
5o 
4o 
3o 
20 
10 
12' 
5o 
4o 
3o 
20 
10 
II' 
5o 
40 
3b 
20 
ro 
10' 


102» 


770 


LOGARITHMIC     SINKS,     TANGENTS,     &C. 


236 


12° 


1670 


50' 

ID 
20 

3o 
4o 
5o 
51' 
10 
20 
3o 
40 
5o 
52' 
10 
20 
3o 
40 
5o 
53' 
10 
20 
3g 
40 
5o 
154' 
10 
20 
3o 
4o 
5_o 
55 
10 
20 
3o 
4o 
5o 
56' 
10 
20 
3o 
40 
5o 
57' 
10 
20 
3o 

4( 
5o 

58' 
10 
20 
3o 
4o 
5() 

[59' 
10 
20 
3o 
4o 
5o 

^J' 


•in. 


9.346 

346 
346 
346 
346 
347 

9-347 
347 
347 
347 
347 
347 

9-347 
347 
347 
347 
348 
348 

9.348 
348 
348 
348 
348 
348 

9.348 
348 
348 
349 
349 
349 

9.349 
349 
349 
349 
349 
349 

9.349 
349 
35o 
35o 
35o 
35o 

9.350 
35o 
35o 
35o 
35o 
35o 

9-35o 
35i 
35i 
35i 
35i 
35i 

9.351 
35i 
35i 
35i 
35i 
35i 

9.352 


difll" 


5794 
6718 
7642 
8566 
9489 
o4i3 
1 336 
2259 
3182 
4io4 
5026 
5o48 
6870 
7792 
8713 
9635 
o556 

1477 
2397 

33i8 

4238 

5i58 

6078 

6998 

7917 
8836 

9755 
0674 
1593 

25ll 

3429 

4347 
5265 
61 83 
7100 
8017 
8934 
985 1 
0767 
1684 
2600 
35i6 
4432 

5347 
6262 
7178 
8093 
9007 
9922 
o836 
1750 
2664 
3578 

4491 
54o5 
63i8 

723l 

8143 
9o56 
9968 
0880 


co-sin. 


92.4 
92.4 

92.4 
92.3 

92.4 
92.3 
92.3 
92.3 
92.3 
92.2 
92.2 
92.2 
92.2 
92.1 
92.2 
92.1 
92.1 
92-0 
92.1 
92.0 
92.0 
92. o 
92.0 


die  I" 


co-sec 


Ung. 


diCl" 


10.653  4206 
653  3282 
653  2358 
653  1434 
653  o5 1 1 
652  9587 

I0.652  8664 
652  774i 
652  6818 
652  5896 
652  4974 
652  4<>52 

I0.652  3i3q|9 
652  2208 
652  1287 
652  o365 
65 1  9444 
65i  8523 

io.65i  7603 
65i6682 
65i  5762 
65 1  4842 
65 1  3922 
65 1  3oo2 

10.65 1  2o83 
65 1  ii64 
65 1  0245 
65o  9326 
65o  8407 
65o  7489 

io.65o657i 
65o  5653 
65o  4735 
65o38i7 
65o  3900 
65o  1983 

io.65o  1066 
65o  01 4 
649  023 
6498316 
649  74oo 
649  6484 

10.649  5568 
649  4653 
649  3738 
649  2822 
649  1907 
649  0993 

10.649  *^7® 
648  9164 
648  8250 
648  7336 
648  6422 
648  5509 

10.648  4595 
648  3682 
6482769 
648  1 857 
648  0944 
648  oo32 

10.6479130 


sec. 


.357  5658 
357  663o 
357  7602 
3578573 

357  9545 
358o5i6 

1.358  1487 

358  2458 
358  3429 
358  4400 
358  5370 
358  634o 
.3587310 
358  8280 

358  9249 
3590219 

359  1 1 88 
3592157 

^.3593126 
359  4094 
359  5o63 
3596031 
359  6999 

359  7967 
^.359  8935 

3599902 
3600869 
36oi836 

360  2803 
36o  3770 

).36o  4736 
36o  5703 
3606669 

360  7635 
3608600 
3609566 

>.36i  o53i 
36i  1496 

36 1  2461 
36i  3426 

36 1  4390 
36i  5355 

).36i  63 1 
36i  728 
36i  8247 
36i  9210 

362  0174 
362  1 1 37 

J.362  2100 
362  3o63 
362  4025 
362  4988 
362  5950 
3626912 

>.362  7874 
362  8836 

362  9797 

363  0758 
363  1719 
363  2680 

).363  364i 


97.2 

97.2 

97.1 

97.2 

97.1 

97.1 

97.1 

97.1 

97.1 

97.0 

97.0 

97.0 

97.0 

96.9 

97.0 

96.9 

96.9 

96.9 

96.S 

^:? 

96.8 
96.8 
96.8 
96.7 
96.7 
96.7 
96.7 
96.7 
96.6 
96.7 
96.6 
96.6 
96.5 
!|fc6.6 
'96.5 
96.5 
96.5 
96.5 

96.4 
96.5 

96.4 
96-4 
96.4 
96.3 

96.4 
96.3 
96.3 
96.3 
96.2 
96.3 
96.2 
96.2 
96.2 
96.2 
96.1 
96.1 
96.1 
96.1 
96.1 


co-tans. 


co-tang. 


diCl" 


■ec 


d.1" 


10.642  4342 
642  3370 
642  2398 

642  1427 
642  0455 
64i  o484 

io.64i  o5i3 
64 1  7542 
64 1  6571 
64 1  5600 
64 1  463o 
64 1  366o 

io.64i  2690 
64i  1720 
64 1  0751 
6409781 
6408812 
64o  7843 

10.6406874 
640  5906 
640  4937 
6403969 
640  3ooi 
64o  2o33 

10.640  io65 
6400098 
639  9i3i 
6398164 
63971 
63962 

10.639  5264 
639  4207 
639  333 1 
639  2365 
639  1 400 
6390434 

10.6389469 
638  85o4 
638  7539 
638  6574 
638  56 10 
638  4645 

I0.638  368I 
638  2717 
638  1753 
638  0790 
637  9826 
637  8863 

10.637  7900 
637  6937 
637  5975 
6375012 
637  4o5o 
637  3o88 

I0.637  2126 
637  1 164 
637  o»o3 
636  9242 
6368281 
636  7320 

I0.636  6359 


10.0109863 
991 1 

10.0109959 

10.0110007 
oo55 
oio3 

io,oiioi5i 
0199 
0247 
0296 

o344 
©392 

io.oiio44o 
o488 
o536 
o584 
o632 
0680 

10.0110729 
0777 
0825 
0873 
0921 
096c 

10.01 1 1018 
1066 

iii4 
1162 
1211 
1259 
lo.oi  1 1 3o7 
i356 

i4o4 
i452 
i5oo 
1 549 

10.0111597 
1645 
1694 
1742 
1 791 
1839 

10.01 11887 
1936 

1984 
2o33 
2081 
2i3o 
10.0112178 
2227 
2275 

2324 

2372 
2421 

TO.OII2469 
25i8 
2566 
261 5 
2663 
2712 

10.01 12761 


tang. 


co-sin. 


4.8 
4.8 
4.8 
4.8 
4.8 
4.8 
4.8 
4.8 
4.9 
4.8 
4.8 
4.8 
4.8 
4.8 
4.8 
4.8 
4.8 

4.9 
4.8 

4.8 
4.8 
4.8 
4.8 
4.9 
4.8 

4S 

4-8 

4.9 

4.8 

4.8 

4.9 

4-8 

4-8 

4-8 

4.9 

4-8 

48 

4 

4 

4.9 

4.8 

4-8 

4.9 
4.8 

4- 
4- 
4. 
4- 
4.9 

4.8 
4.9 
4-8 
4.9 
4.8 

4-9 
4.8 

4.0 

4.8 

4.9 
4.9 


9.9890137 
0089 

9.9890041 

9.9889993 
9945 
9897 

9.9889849 
9801 


9753 
9704 
9656 
9608 
9.9889560 
9512 

9464 
9416 
9368 
9320 
9.9889271 
9223 


9175 
9127 
9079I  20 


10' 

5o 
4o 
3o 

20 
10 

9' 

5o 

4o 

3o 

20 

10 

8' 

5o 

4o 

3o 

20 

10 

7' 

5o 

4o 

3o 


co4ec 


903 1 
9.9888982 
8934 
8886 
8838 
8789 

874 « 
9.9888693 

8644 
8596 
8548 
85oo 
845 1 

9.9888403 
8355 
8.3o6| 
8258 
8209 
8161 

9.9888113 
8064 
8016 

7967 

7919 

7870 

9.9887822 

7773 
7725 
7676 
7628 

7579 
9.9887531 
7482 
7434 
7385 

7337 
7288 
9.9887239 


d.1' 


■IQ. 


10 

6' 

5o 

4o 

3o 

20 

10 

5' 

5o 

4o 

3o 

20 

10 

4' 

5o 

40 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

10 

2' 

5o 

4o 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 

0' 


102« 


770 


.il  I 


l<i' 


:!'' 


236 


LOGARITHMIC     SINES,   TANGENTS,     &C. 


13® 


1660 


■in. 


lO 
20 

3o 
4o 
5o 
1' 

10 

ao 

3o 
4o 
5o 

2' 

10 

20 

3o 
4o 
5o 
3' 

10 

ao 
3o 
4o 
5o 
4' 

lO 

ao 
3o 
4o 
5o 
5' 

10 

ao 

3o 

4o 

5o 

6' 

lo 

ao 

3o 

4o 

5o 

7' 

lO 

ao 
3o 
4o 
5o 

8' 

lO 

ao 
3o 
4o 
5o 
9* 

lO 

ao 
4o 


dif.l" 


9.35a  b88o 
35a  1792 
35a  a7o4 
352  36 1 5 
35a  45a7 
35a  5438 

9.35a  6349 

352  7259 
3528170 
3529080 
3539990 
3530900 

9-353  1810 
3532719 

353  3629 
353  4538 
353  5447 
353(?355 

9-353  7264 
353  8172 
353  9080 

353  9088 
3540896 

354  i8o3 
9.354  2710 

3543618 
354  4524 
3545431 
3546338 

354  7244 

9-354  8 1 5o 

3549056 

354  9962 

355  0867 
355  177a 
355  2677 

9-355  3582 

355  4487 

355  5391 

3556296 

355  7200 

355  8104 
9-355  9007 

355  991 1 

356  08  r  4 
356  1717 
356  2620 
356  3523 

9-3564426 
356  53i8 
356  623o 
3567132 
3568o34 

356  8935 
9-356  9836 

357  0738 
357  i63o  -  ^ 

^U|   357  3440  ^' 

5o  357 4340  900 

10*  9.357  5240  900 


91.2 
91.2 

91. 1 
91.2 
9I.I 
91. 1 
91.0 
91. 1 
91.0 
91.0 
91.0 
91.0 
90.9 
91.0 
909 
90'9 
90-8 
909 
90.8 
90.8 
90-8 
90-8 
907 
90.7 
90-8 
90-6 
90.7 

907 
90-6 
90-6 
90-6 
90-6 
90.5 
90-5 
90.5 
90-5 
90.5 

90.4 
90.5 

90.4 
90.4 
90.3 
90.4 
90  3 
90.3 
90.3 
90.3 
90.3 
90.2 
90.2 
90.2 
90.2 
90.1 
90.1 
90.2 
90.1 


co-tee. 


10.6479120 
647  8208 
647  7296 
647  6385 
647  5473 
647  4562 

I0.647  365 1 
647  2741 
647  j83o 
647  0920 
647  0010 
6469100 

10.6468100 
6467281 
6466371 
646  5462 
646  4553 
646  3645 

to.646  2736 
646  1828 
646  0920 
6460012 
6459104 
6458197 


tanf. 


9-363  364i 
363  4^>*>2 
363  5362 
363  6522 
363  7482 

363  8442 
9-363  9401 

364o36i 

364  i32o 
364  2279! 
364  3235 
364  4  f 

9-364  51^5 
3646ii3 
3647071 

364  8029 
3648986 

3649944 
9.J05  0901 

365  1 858 
365  2815 
365  3772 
365  4728 
365  5685 


did" 


10.64572909,3656641 


eo-ain.   di£l"    me 


645  638a 

6455476 
645  4569 
645  3662 
645  2756 

10.645  i85o 
645  0944 
645  oo38 
6449133 
644  82i!8 
644  7323 

10.6446418 
644  55i3 
6444609 
644  3704 
644  2800 
644  1896 

10-644  0993 
6440089 
6439186 
643  8283 
643  7380 
643  6477 

10-643  5574 
643  4672 
643  3770 
643  2868 
643  1966 
643  io65 

10.643  oi  64 
642  9262 
642  836 1 
642  7461 
642  656o 
642  566o 

10.642  4760 


365  7597 
365  8553 

365  9508 
3660464 

366  1419 
9-366  2374 

366  3329 
3664283 
366  5238 
3666192 
3667146 

9.366  8 KX) 

366  9054 

367  otx)7 
3670960 
367  1914 
367  2866 

9.367  3819 
367  4772 
367  5724 
367  66-6 
367  7628 

367  858o 
9.367  9532 

368  o483 
368  1 435 
368  2386 
368  3337 
368  4287 

9-368  52  3S 
3686188 
368  7138 
368  8088 
368  <>o38 
368  (>988 

9.369  0937 


96.1 

96-0 
96.0 
96.0 
96-0 
95.9 
96.0 
95.9 
95-9 


eo-tanf. 


95.9 


95. 

95-8 

95.8 

95.7 
95.8 

95.7 
95.7 
95.7 

95.7 
95.6 

95.7 
95.6 
95.6 
95.6 
95.5 
95-6 
95-5 
95.5 
95.5 

9^.4 

95.5 

95-4 
95.4 
95.3 
95.3 
9U 

95a 
95.3 

95.3 
95.2 
95.a 
95.2 
95.2 
95-2 
95.1 
95.a 
95.1 
95-1 
95.0 
95.1 
95.0 
95.0 
95.0 
95 -o 
95 -O 
94.9 


I0.636  6359 
636  53c 
63644' 
636  3478 
636  25 1 8 
636  1 558 


■ee. 


10.0112761 
2809 
a858 
2907 
2955 
3o()4 


d.l" 


10.636  0599  10.01  i3o53 


00-taog. 


diCl" 


635  9639 
635  8680 
635  772 1 
635  6762 
635  58o4 

I0.635  4845 
635  3887 
635  2929 
635  1971 
635  ioi4 
635oo56 

I0.634  9099 
6348145 
634  7185 
6346228 
634  5272 
634  43 1 5 

I0.634  3359 
634  24o3 
634  1447 
634  0492 
633  9536 
633  858! 

I0.633  7626 
633^)671 
633  5717 
633  4762 
633  38o8 
633  2854 

10.633  1900 
633  0946 
632  9993 
63a  9<)4o 
63a  8086 
63a  7 1 34 

i0.63a6i8i 
632  5228 
63a  4276 
63a  3324 
632  2372 
63a  1420 

10.632  o468 
63i  95i7 
63 1  8565 
63 1  7614 
63 1  6663 
63i  57i3 

io.63i  4762 
63i  38 12 
63 1  2862 
63i  191 2 
63 1  0962 
63i  0012 

io-63o  9063 


tang. 


3ioi 
3i5c 

?'99 

0247 
3296 

10.0113345 
3394 
3442 
3491 
3540 
3589 

10.01 1 3637 
3686 
3735 
3784 
3833 
388 

10.0113930 
3979 
4028 
4077 
4126 
4175 

10.0114224 
4273 

4322 

4371 
4420 

4469 

io.oii45i8 
4567 
46i6 
4665 
4714 
4763 

10.0114812 
4861 
4910 
4959 
5oo8 
5o57 

io.oii5io6 
5i55 
52o5 
5254 
53o3 
5352 

to.oii54oi 
545o 
55oo 
5549 
5598 

5647 
10.0115697 


4.8 

4.9 

4-9 

4.8 
4-9 


e»-tin. 


9.9887239  60' 
7191 
7142 
7093 
7045 
, -1     6996 

t?  9-9886947 
6899 


4.8 
4.9 

4i 
4.9 

4.9 
4.9 
4.8 
4.9 

4.9 
4.9 

4-8 
4.9 
4.9 

4.9 
4.9 

n 

4.9 
4.9 

4-9 
4-9 


68  5o 
6801 
6753 
6704 

9.9886655 
6606 
6558 
65o9 
64fio 
64 1 1 

9-9886363 
63i4 
6265 
6216 

6167 

6118 

9.9886070 

6021 

5972 

5923 

5874 

/  k  5825 

7919.9885776 

5727 


4-9 
4.9 

4-9 
4.9 
4-9 
4.9 

4.9 
4.9 
4.9 
4.9 

4-9 
4.9 
4.9 

4.9 


CO-lflC 


4.9 

4-9 
4-9 

4.9 
5.0 
4.9 
4.9 
4.9 
4.9 

5.0 

4.9 
4.9 

5.0 


5678 
5629 
558r> 
553 1 
9.988548 
5433 
5384 
5335 
5286 

5237 

9.9885188 
5i39 
5090 
5t>4i 
4992 
4943 

9.9884894 
4845 

4795 
4746 
4697 
4648 

9.9884599 
45  5o 
45oo 
445i 
4402 
4353 

9.9884303 


d.l" 


■in. 


5o 
40 
3o 
20 
10 

5o 
40 
3o 
20 

U) 

5o 
4o 
3(> 
20 
10 
i7' 
5o 
4o 
3<> 
20 
10 
'){)' 
5o 
40 
3o 
20 
10 

5o 
4o 
3o 
20 
10 
,54' 
5o 
40 
3o 
20 
10 

.5:v 
5o 
40 
3o 
20 
10 
52 
5o 
4o 
3o 
20 
10 
51' 
5o 
4o 
3o 
20 
10 
.50' 


103» 


760 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


237 


130 


166° 


tO' 

10 
20 
3o 
4o 
5o 
11/ 
10 
20 
3o 
4o 
5o 
12 
10 
20 
3o 
40 
5o 
13' 
10 
20 
3o 
4o 
5o 
14 
10 
20 
3o 
40 
5o 
15' 
10 
20 
3o 
40 
5o 
16 
10 
20 
3o 
4o 
5o 
17' 
10 
20 
3«) 

4«> 
5o 
18 

10 
20 
3o 
4o 
5.> 
19' 
10 
20 
3o 
4o 
5o 
20' 


■in. 


9.357 
357 
357 
357 
357 
357 

9-358 
358 
358 
358 
358 
358 

9.358 
358 
358 
358 
358 
359 

9.359 
359 
359 
359 
359 
359 

9.359 
359 
359 
359 
36o 
36o 

9.360 
36o 
36o 
36o 
36o 
36o 

9-36o 
36o 
36o 
36i 
36i 
36f 

9.361 
36! 
36! 
36i 
36i 
36i 

9-36 1 
36 1 
36i 
362 
362 
362 

9.362 
362 
362 
36a 
362 
362 

9.362 


5240 
61 4o 
7040 


dif.l" 


90.0 
90.0 

7940J  tl. 

RH3nl  89-9 

89.9 


8839 
9738 
0637 

1536 
2434 
3333 
423i 
5129 
6027 
6924 
7822 
8719 
9616 
o5i3 
1409 
23c)6 
3202 
4098 

4994 
5«90 
6785 
7680 
8575 
9470 
o365 
1259 
2f54 
3o48 
3942 
4835 
5729 
6622 
7515 
8408 
930 1 
0193 
1086 
1078 
2870 
3762 
4653 

5544 
6436 

7327 

8217 
9108 
9998 
0889 

1779 
2668 
3558 
4448 
5337 
6226 
7ri5 
8oo3 
8892 


89.9 

89.6 
89-0 
89.8 
89.8 
89-8 
89.7 
89.8 

897 
89.7 
89.7 
89.6 
89-7 
89.6 
89.6 
89.6 
89.6 
89.5 
89.5 
89.5 
89.5 
89.5 
89.4 
89.5 

89.4 
89.4 
89.3 

89.4 
89.3 
89.3 
89.3 
89.3 
89.2 
89.3 
89.2 
89.2 
89.2 
89.1 
89.1 
89.2 
89.1 
89.0 
89.1 
89.0 
89.1 
89.0 
88.9 
89.0 
89.0 
88.9 
88.9 
88.9 
88.8 
88.9 


co-sin. 


dif  1" 


co-sec. 


10.642  4760 
642  386o 
642  2960 
6422060 
642  1161 
642  0262 

1 0.64 1  9363 
64 1  8464 
64i  7566 
6416667 
64 1  5769 
64!  4871 

10.641  3973 
641  3076 
641  2178 
641  1281 
641  o384 

■  6409487 

1 0.640  8591 
640  7694 
640  6798 
640  5902 
640  5oo6 
64o4iio 

10.640  32 1 5 
640  2320 
640  1425 
640  o5  3o 
639  9635 

639  874  r 

10.6397846 
639  6952 
6396058 
6395165 
6394271 
639  3378 

10.639  2485 
639  1592 
639  0699 
638  9807 
6388914 
638  8022 

I0.638  7i3o 
638  6238 
638  5347 
638  4456 
638  3564 
638  2673 

10.638  1783 
638  0892 
638  0002 

637  91 1 1 
637  8221 
637  7332 

10.6376442 
637  5552 
637  4663 
637  3774 
637  2885 
637  1997 

10.637  1 1 08 


aec. 


tang. 


9.369  0937 
369  1886 
369  2835 
369  3784 
369  4733 
369  568 1 

9.369  6629 
369  7577 
3698525 

369  9473 
3700421 

370  1 368 

9.370  23i5 
370  3262 
370  4209 
370  5 1 56 
3706102 
370  7048 

9.370  7994 
370  8940 

370  9886 

371  o83 

371  >777 
371  2722 

9.371  3667 
371  4612 
371  5556 
371  65oi 
371  7445 

371  8389 

9.371  9333 

372  0276 
372  1220 
372  2 1 63 
372  3ro6 
372  4o49 

9.372  4995 
372  5934 
372  6877 
372  7819 
372  8761 

372  9703 

9.373  0645 
.373  1 586 

373  2527 

373  3468 
373  4409 
373  535o 

9.373  6291 
373  723i 
3738171 

373  91 1 1 
374oo5! 

374  0991 

9.374  1930 
374  2870 
374  3809 
374  4748 
374  5686 
3746625 

9.374  7563 


dif.l" 

94.9 

94.9 
94.9 

94-9 
94.8 

94.8 
94.8 
94.8 
94.8 
94.8 
94-7 
94.7 
94-7 
94-7 
94-7 
94.6 
94.6 
94.6 
94.6 
94.6 
94.5 
94.6 
94.5 
94.5 
94.5 
94.4 
94.5 
94.4 
94.4 
94-4 
94.3 

94.4 

94.3 

94.3 

94.3 

94.3 

94-2 

94-3 

94.2 

94.2 

94.2 

94.2 

94.1 

94.1 

94.1 

94.1 

94.1 

94.1 

94.0 

94.0 

94.0 

94.0 

94.0 

93.9 

9^.0 

93.9 

93.9 

93.8 

93.9 

93.8 


co-tang. 


co-tang. 


dif.l" 


io.63o 
63o 
63o 
63o 
63o 
63o 

io.63o 
63o 
63o 
63o 
629 
629 

10.629 
^629 
629 
629 
629 
629 

10.629 
629 
629 
628 
628 
628 

10.628 
628 
628 
628 
628 
628 

10.628 
627 
627 
627 
627 
627 

10.627 
627 
627 
627 
627 
627 

10.626 
626 
626 
626 
626 
626 

10.626 
626 
626 
626 
625 
625 

10.625 
625 
625 
625 
625 
625 

10.625 


9063 
8ii4 
7165 
6216 
5267 
4319 
3371 
2423 

1475 
0527 

9579 
8632 

7685 

6738 

5791 

4844 

3898 

295 

2006 

1060 

01 14 

916 

822 

7278 

6333 

5388 

4444 

3499 

2555 

161 1 

0667 

9724 

8780 

7837 

6894 

5951 

5oo8 

4o66 

3 123 

2181 

1239 

0297 

9355 

84i4 

7473 

6532 

5591 

465o 

3709 

2769 

1829 

0889 

9949 
9009 

8070 

7i3o 

6191 

5252 

43i4 
3375 
2437 


■ec. 


10 


10 


10 


10 


10 


10 


10 


10 


10 


10 


tang. 


10 


0115697 
5746 
5795 
5844 
5894 
5943 

01 1 5992 
6042 
6091 
6i4o 
6190 
6239 

.0116288 
6338 
6387 
6437 
6486 
6536 

.OII6585 
6634 
6684 
6733 
6783 
6832 

.0116882 
6931 
6981 
7o3o 
7080 
7i3o 

.0117179 
7229 
7278 
7328 
7378 
7427 

■0117477 
7526 

7576 
7626 

7675 
7725 

.0117775 
7825 
7874 
7924 
7974 
8024 

,0118073 
8123 
8173 
8223 
8272 

8322 

.0118372 

8422 

8473 

8522 

8572 

8621 

.0118671 


d.l" 


co-sin. 


4.9 

4-9 

5.0 

4-9 

4.9 
5.0 

4.9 

4.9 
5.0 

4-9 

4.9 
5.0 

5.0 

49 
5.0 

4.9 

4-9 
5.0 

4.9 

5.0 

4-9 
5.0 

4.9 
5.0 
4.9 
5.0 
5.0 
4.9 
5.0 

4.9 

5.0 
5.0 

4.9 
5.0 

49 
5.0 

5.0 

4-9 
5.0 

5.0 
5-0 
4.9 
5.0 
5.0 
5.0 

4.9 

5.0 
5.0 
5-0 

4-9 

5.0 
5.0 
5.0 
5.0 
5.0 
5.0 

4.9 
5.0 


co-sec. 


d.1' 


9.9884303  50' 
4254  5o 
42o5  4o 
4i56  3o 
4106  20 
4o57  10 

9.9884008  49' 
3958  5o 
3909  40 
386cj  3o 
38io  20 
3761  10 

9.988371248' 
366 >  5o 
36i3  4o 
3563  3o 
35i4  20 
3464  10 

9.988341547' 
3366  5o 
33i6  4o 
3267  3o 
3217  20 
3i6fc  10 

9.988311846' 
3069  5o 
3019  4o 
2970  3o 
2920  20 
2870  10 

9.9882821  45' 
2771  5o 
2722  4o 
2672  3o 
2629  20 
2573  10 

9.9882523  44' 
2474  5o 
2424  4o 
2374  3o 
2325  20 
2275  10 

9.9882225  43' 
2175  5o 
2126  4o 
2076  3o 
2026  20 
1976  10 

9.988192742' 
1877  5o 
1827  4o 
1777  3o 
1728  20 
1678  10 

9.988162841' 
1578  5o 
1528  4o 
1478  3o 
1428  20 
i379  10 

9.9881 329  40' 


Bin. 


1030 


W 


238 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


13« 


1660 


10 

90 

3u 

^o 
5o 

tl' 
to 

20 

3o 

w 

10 
20 

3o 

4o 
■5o 
23 

lO 

ao 
3o 
4o 
5f) 
•24 
lo 

30 

3o 
4o 
5fj 


diCl" 


9.36a  88o2 

362  9780 

363  0668 
363  1 556 
363  'i444 
363  333i 

9-363  4210 
363  5io6 
363  599 
363  6880 
363  7766 

363  8653 
9-363  9530 

364  0425 
364  i3ii 
3642196 
364  3o82 
3643967 

9-3644852 
364  5737 
364  6621 
364  75o6 
3648390 

364  9274 
9-365  01 58 

365  io42i 
365  1925  ^'^. 
365  2809  «r1 
365  3692  **'*-^ 
365  4575 

»  9-365  5458 
365  634o 
365  7222 
365  8io5 
365  8987!  fto' 
365  9869;  J°-J 
9-366  07  5oj««" 


88.8 
88.8 
88-8 
88-8 

88-7 
88.8 

88.7 
88.7 
88.7 
88.6 
88.7 
88.6 
88.6 
88.6 
88.5 
88.6 
88.5 
88.5 
88.5 
88.4 
88.5 
88.4 
88.4 
88.4 
88.4 
88.3 


oiMee. 


IQ.637  1 108  9.374  7563 


10 
ao 
3o 
4o 
5o 
16 
10 
20 
3o 
4o 
%#o 
27 
10 
20 
3o 
40 
5o 
28^ 


20 
3o 
4o 
5o 


30 

3o 
4o 
5o 


88.3 
88.3 
88-2 
88.3 
88.3 
88.2 


366  i632 
366  25 1 3 


68.1 
88.1 


366  3394J88; 
366  4275  oo'_ 

366  5155  ****•*' 
9-3666036 

3666916 
3667796 
3668676 
3669556 

367  0436 

9.367  i3i5„,„ 
10  3672194  J7-9 

10  367  3o73  III 

367  3952  III 

367 483o  III 

367  5709  III 

9-367  6587  °!r 
10  367  7465  ;;;.» 

—  3678343  Jj^-J 
367  9"!  S^-? 
^^8^:7 


88.1 
88.0 
880 
88.0 
88-0 
88-0 

879 
87.9 


637  0220 
636  9332 
636  8444 
636  7556 
6366669 

10.636  5781 
6364894 
636  4007 
636  3  r  20 
636  2234 
636  1 347 

I0.636  o46i 
635  9575 
635  8689 
6357804 
6356918 
635  6o33 

I0.635  5 1 48 
635  4a63 


dicr 


374  85oi 

374  9439 

375  o377 
375  i3i5 

375  2252 

9.375  3190 

3754127 

3755064 

3756001 

375  6937 

375  7873 

9.3758810 

375  9746 
3760682 

376  1617 

376  2553 

376  3488 

9.376  4423 

376  5358 


635  3379  "^7^  6293 
6352494  3767228 
635i6io  3768162 
635  0726  376  90 
I0.634  9842  9.377  00 


368  oo75i 
9.368  1 853 


CO-«lII. 


87.8 


6348958 
6348075 

634  7 1 91 
634  63o8 
634  5425 

I0.634  4542 
634  366o 
634  2778 
634  1895 
634  ioi3 
634  01 3 

I0.633  9250 
633  8368 
633  7487 
633  6606 
633  5725 
633  4845 

I0.633  396.^ 
€33  3o84 
633  2204 
633  1 324 
633  0444 
632  o564 

10.632  8685 
63a  7806 
632  6927 
63a  6048 
632  5170 
63a  4291 


diCl" 


io.63a  34139-3797969 
633  2535  3798897 
63a  i657  379  9826 
632  0779  38o  0754 
63 1  990a  38o  i68a 
63i  ooaS  38o  2610 

io.63i  8i47  9.380  3537 


3770964 
377  1898 
377  2831 
377  3765 
3774608 
9.377  56.51 
377  6564 
377  7496 
377  8429 

377  9361 

378  0293 

9-378  1225 
378  2 1 57 

378  3o88 
378  4oao 
3784951 
378  588a 
9.3786813 
378  7743 

378  8674 
3789604 

379  o534 
379  1 464 

9.379  a394 
379  3324 
379  4253 
379518a 
379  61 1 1 
379  7040 


I  eo-tuf. 


93.8 
93.8 
93.8 
93.8 
93.7 
93.8 
93.7 
93.7 

93.7 
93 -6 
93-6 

93.7 
93-6 
93-6 
93.5 
93.6 
93.5 
93.5 
93.5 
93.5 
93.5 
93-4 
93.4 
93.4 
93.4 
93.4 
93.3 

93.4 
93.3 
93.3 
93.3 
93.2 
93.3 
93.2 
93.2 
93.a 
93.2 
93.1 
93.2 

93.1 
93-1 
93.0 
93-1 
930 
93-0 
93.0 
93.0 
93 -o 
92.9 
92.9 
92.9 
93.9 
92.0 
92.8 
93.0 
93.8 
93.8 
93.8 
93.7 


OlMailg. 


10.635  2437  10.01 1867 
625 1499  ^7^ 
635  o56i  877 
6a4  9633  883 
634  8685  887 
634  7748     892 

10.624  6810  10.01 1897 
624  5873  902 
634  4936  907 
624  3999  91 3 
6a4  3o63  917 
6242137     932 

10.634  1190  10.01 1937 
634  oa§4  932 
6239318  937 
623  8383  942 
623  7447  947 
623  65i2     952 

ro.623  5577  10-011957 
633  4643     962 
633  3707     967a 
6a3  3773     972a 
6a3  1 838     9772 
623  0904     9822 

10.622  9970  10.0119872 
622  9o36  9923 
6aa  8102  10-0119972 

623  7169  10.01  30033 
622  6235       0073 

6a  a  53o9  01 23 
10.62  a  4369  10-0120173 
632  3436  0223 
622  25o4  0374 
62a  1571  o324 
622  0639  ^374 
621 9707  0424 
10.621  8775  10.0120475 
621 7843  o525 
6216913  0575 
621  5980  0626 
621  5649  0676 
6214118  0726 
10.621  3187  10.0120777 
621  2257  0827 
6a  I  i326  0877 
621 0396  0928 
630  9466     0978 


620  8536 

io.6ao  7606 

6ao  6676 

620  5747 

620  4818 

6ao  3889 

620  2960 

10.620  ao3i 

6ao  I  io3 

6300174 

6199346 

6198318 

6197390 

10.6196463 


1039 
10.0121079 
1139 

1 180 

133o 
I38l 

i33i 
10.01 3 1 383 
1 43a 
1483 
i533 
i584 
i634 
10.0121685 


d,l" 


5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5-0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.1 

5.0 

5.0 

5.0 

5.0 

5.0 

5.0 

5.1 

5.0 

5.0 

5.0 

5.0 

5.1 

5.0 

5.0 

5.0 

5-1 

5.0 

5.0 

5.1 

5-0 

5.0 

5.1 


co-fin. 


9.9881 339(40' 

1379  5i> 
1339  4o 
1179  3o 
1 1 29  20 
1079  "^ 

9.988102939' 
0979  5o 
0929  4o 
0879  3o 
0829 
0779 

9.9880729 
0679 


liiCi" 


tang. 


G4».«ec. 


5'0 

5.0 

5 

5.0 

5.1 

5-0 

5.0 

5-1 

5o 

5-1 

5-0 

5 

5.0 

5-1 

5.0 

5.1 

5.0 

5.1 

d.l" 


0629 

0579 

0529 

6479 

9.9880429 

0379 
0328 
0278 
0228 
0178 
9.98801 28 

0078 
9.9880028 

9.9879977 
902 
9877 

9.9879827 

9777 
9726 
9676 

9626 

9576 
9,9879525 
9475 
9425 
9374 
9334 
9274 
9.9879223 

9173 

9123 

9072 

9022 

8971 

9.987892 1 

8871 
8820 

8770 

8719  ao 

8669  TO 

9.9878618  31 
8568  5o 
85i7  4o 
8467  3o 
84i6  20 
8366  10 

9.9878315  30' 


20 
10 
38 

5o 
40 
3o 
ao 

ID 

37' 
5o 
40 
3o 
20 
10 
36 
5o 
40 
3o 
20 
10 
•35' 
5o 
40 
3o 
20 
10 
34' 
5o 
40 
3o 
ao 
10 
3:1 
5o 
4o 
3o 
20 
10 
32' 
5o 
4o 
3o 


■in. 


1030 


76« 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


239 


130 


I660 


Bin. 


30' 
10 
20 
3o 
4o 
5o 
U' 
10 
20 
3o 
4o 
5o 

32' 
10 
ao 
3o 
4o 
5o 

33 
10 
20 
3o 
40 
5o 

34 

H) 

20 
3o 
4o 
5o 

35' 
10 
20 
3( 
40 
5o 

36 
10 
20 
3o 
40 
5o 

37 

iO 

20 
3o 
40 
5o 
•38 
10 

2tl 

3o 

40 

5o 
3) 
10 
ao 
3o 
4o 
5o 
4!)' 


9-368  1 853 
368  3729 
368  36o6 
368  4483 
368  5359 
368  6235 

9-368  71 1 1 
3687987 
368  8863 

368  9738 
3690613 

369  1 488 
9.369  2363 

369  3238 
3694112 

3694987 
369  586 1 

3696735 

9.369  7608 
3698482 

369  9355 

370  0229 
370  1102 
370  1074 

9  370  2847 
3703719 
370  459a 
370  5464 
370  6336 
370  7207 

9.370  8079 
370  8950 

370  982 1 

371  0692 
371  i563 
371  2434 

9.371  33o4 
371  4174 
371  5o44 
371  5914 
371  6784 
371  7653 

9.371  8523 

371  9392 

372  0261 
372  ii3o 
3721098 
372  2867 

9-372  3735 
372  46o3 
372  5471 
372  6338 
372  7206 
372  8073 

9.372  8940 

372  9807 

373  0674 
373  i54o 
373  2407 
373  3273 

9.3734139 


di£I" 


ocMin. 


87.6 
87.7 
87.7 
87.6 
87.6 
87.6 
87.6 
87.6 
87.5 
87.5 
87.5 
87.5 
87.5 
87.4 
87.5 

87.4 
87.4 
87.3 

87-4 
87.3 

87-4 

87.3 

87-2 

873 

87.2 

87.3 

87-2 

87-2 

87.1 

87.2 

87.! 

87.1 

87.1 

87.1 

87-1 

87.0 

87-0 

87-0 

87.0 

87.0 

86.9 

87-0 

bu.9 

86.9 

86.9 

86.8 

86.9 

86.8 

86-8 

86.8. 

86.7 

86.8 

86.7 
86.7 
86.7 
86.7 
86.6 
86.7 
86.6 
86.6 

diCl" 


co-sec 


io.63i  8i47 
63i  7271 
63 1  6394 
63i  55i7 
63i  464i 
63 1  3765 

io.63i  2889 
63 1  201 3 
63 1  ii37 
63 1  0262 
63o  9387 
63o85i2 

io.63o  7637 
63o  6762 
63o  5888 
63o5oi3 
63o4i39 
63o  3265 

io.63o  2399 
63o  i5i8 
63o  0645 

6299771 
629  8898 
629  8026 

10.6297153 
629628 
629  5408 
6294536 
629  3664 
629  2793 

ro.629  1921 
629  io5o 
6290179 
628  9308 
628  8437 
628  7566 

10.6286696 
628  5826 
628  4956 
628  4086 
6283216 
628  2347 

10.628  1477 
6280608 
627  9739 
627  8870 
627  8002 
627  7133 

10.627  6265 
627  5397 
6274529 
627  3662 
627  2794 
627  1927 

10.627  1060 
6270193 
626  9326 
626  8460 
626  7593 
626  6737 

io.6a6  586 1 


lec. 


tang. 


9.380  3537 
38o  4465 
38o  5393 
38o63i9 

380  7246 
3808173 

9.3809100 

38 1  0026 
38 1  0952 
38i  1878 
38 1  2804 
38 1  3730 

9.381  4655 
38 1  558 1 
38  r  65o6 
38 1  743 1 
38 1  8356 

38 1  9280 
9-382  o2o5 

382  1 1 29 
382  2o55 
382  2977 
382  3901 
382  4825 

9-382  5748 
3826671 
382  7595 
382  8517 

382  9440 

383  o363 
9-383  1285 

383  2207 
383  3129 
383  4o5i 
383  4973 
383  5894 
9-383  6816 
383  7737 
383  8658 

383  9579 

384  0499 
384  1420 

9-384  2  340 
384  3260 
384  4180 
384  5ioo 
384  6020 

384  6939 
9-384  7858 

3848777 
3849696 

385  061 5 
385  i534 
385  2452 

9-385  3370 
385  4288 
385  5206 
385  6x24 
385  7041 
385  7959 

9-385  8876 


co-tang. 


diCl" 


92.8 
92.7 
92.7 
92.7 
92.7 
92.7 
92.6 
92.6 
92.6 
92.6 
92.6 
92.5 
92.6 
92.5 
92.5 
92.5 
92.4 
92.5 

93.4 
92.4 
92.4 
92.4 
92.4 
92.3 
92.3 

92.4 
92.3 
92.3 
92.3 
92.2 
92.2 
92.2 
92.2 
92.2 
92,1 
92.2 
92.1 
92.1 
92.1 
92.0 

92.  T 
92.0 
92.0 
92.0 
92.0 
92.0 


dif.r 


co-tang. 


10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

to.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 


96463 
95535 
94608 
93681 
92754 
9  1827 
90900 
89974 
89048 

88133 

87196 
86270 
8  5345 
84419 
8  3494 
82569 

81644 
80720 

79795 
78871 

77947 
77023 

76099 
75175 
74252 
73329 
7  24o5 
71483 
70560 
69637 
68715 

67793 
66871 
65949 
6  5o27 
64io6 
6  3i84 
6  2263 
6i342 
60421 
59501 
5  858o 
57660 
56740 
55820 
5  4900 
53980 
5  3o6i 
5  2143 

5  1223 

5o3o4 
49385 
48466 
4  7548 
4663o 
45713 

44794 
43876 
42959 
42041 
41124 


taug. 


sec. 


10.0121685 
1735 
1786 
i837 

1887 
1938 
10.0121988 
2039 
209U 

2l4o 

2191 

2242 

10.0123292 

2343 

2394 

3444 

3495 

2546 

10.0133596 

2647 

2698 

2749 
2800 
285o 

10.0122901 
2952 
3oo3 
3o54 
3io4 
3i55 

10.0123206 
3257 
33o8 
3359 
3410 
3461 

IO.OI235l2 

3563 
36i4 
3664 
3715 
3766 
10.0123817 
3868 
3919 
3970 

3o22 
4073 

10.0124124 
4175 
4226 
4277 
4328 
4379 

10.01 24430 
4481 
4533 

4584 

4635 

4686 

10.0124737 


eo-aec. 


d.l"   co-«in. 


O 


o 


O 


O 


O 


O 


o 


o 


5.0 

5 
5 
5 
5 
5 
5. 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5. 
5. 
5 
5 
5. 
5. 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5, 
5 
5. 
5 


9.9878315 
8265 
8214 
8i63 
8ii3 
8062 

9.9878012 
7961 
7910 
7860 
7809 
775b 

9.9877708 

7657 
7606 
7556 
75o5 
7454 

9.9877404 
7353 
73o2 
7251 
7200 
71 5o 

9.9877099 
704b 
6997 
6946 
6896 
6845 

9.9876794 
6743 
6692 
6641 
6590 
6539 

9.987648b 
6437 
6386 
6336 
6285 
6234 

9.9876183 
6i32 
6081 
6o3o 
5978 
5927 

9.9875876 
5825 
5774 
5723 
5672 
5621 

9.9875570 
5519 

5467 
5416 
5365 

53i4 
9.9875263 


d.1" 


30' 
5o 
40I 
3o| 

20 
10 

29' 
5o 
40 
3o 
20 
10 

28' 
5o 
4o 
3o 
20 
10 

27' 
5o 
40 
3o 
20 
10 

26' 
5o 
40 
3o 
30 
10 

25' 
5o 
4o 
3o 
20 

lO 

24' 

5g 

4o 

3o 

20 

10 
23' 

5o 

4o 

3o 

20 

10 
22' 

5o 

4o 

3o 

ao 

10 
21' 

5o 

4o 

3o 

ao 

10 
20' 


■in. 


103= 


76= 


t' 


!*i 


240 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


11KO 


ieo« 


40' 

lo 
so 
3o 
4o 
5o 
41 

10 

3o 

4c> 

5o 

42' 

lO 
20 

3o 
4ci 
5o 

10 

ao 
3c 
4o 
5o 
44' 
to 

3o 

4<> 

5o 

4,V 

II) 

ao 
3t» 

4*> 
5o 

ilV 


r> 

3 

5 
47' 

lO 
50 

3o 

4o 

5t 

48' 

10 

x> 
3o 
4o 
5o 
4">' 
lo 
ao 
3o 
4o 
5o 


■w. 


9.373  4 1 3o 

■3f\M  30Q3' 

373  5870 
373  6736 
3737601 

373  8466 
9.373  9331 

3740196 
374 1000 

374  1925 
374  2789 

374  3653 

9.3744517 

374  538<» 

374  6244 

3747107 
374  7970. 

374  8833 

9.374  9696 

375  o5d8 
375  1420 
375  2a83 
375  3 1 45 
375  4006 

9.3754868 
375  5730 
375  6501 
375  7453 
375  83 1 3 

375  9r74 
9.3760034 

3760894 

376  1755 
376  2615 
376  3474 
376  4334 

9.3765194 
376  6o53 

376  691 2 
3767771 
37686-30 
3769488 

9.377  o347 

377  l2o5 
377  2o63 
377  1921 

377  3778 
377  4636 

9.377  549^ 
377  635o 
377  7207 
377  8064 
377  8920 

377  9777 

9.378  o633 

378  1489 
378  2345 

378  320I 

378  4o56 

3784912 

9.378  5767 


diCl" 


86.6 
86.5 
86.6 
86.5 

86.5 

o0.3 
86.4 

86.5 

86.4 

86.4 

86.4 

86.3 

86.4 

86.3 

86.3 

86.3 

86.3 

86.2 

86.2 

86.3 

86.2 

86.1 

86.2 

86.2 

B6.1 

86.1 

86.1 

86.1 

86.0 

86.0 

86.  J 

86.0 

85.9 

86.0 

86.0 

85-9 

85-9 

85-9 

85-9 

85.8 

85-9 

85.8 

85.8 

85.8 

85.7 

85.8 

85.7 

85.7 

85.7 
85.7 
85.6 
85.7 
85.6 
85.6 
85.6 
85.6 
85.5 
85.6 
85.5 


eo-ioc 


co-*io.   did" 


10.626 
626 
626 
626 
626 
626 

10.626 
625 
625 
625 

625 

1 0.6a  5 
625 
6*5 
6a5 
6a  5 
6a5 

10.625 
624 
6a4 
624 
624 
6a4 

10.624 
6a4 
624 
624 
624 
624 

10.633 
623 
6a3 
623 
623 
6a3 

10.623 
623 
623 
623 
6a  3 
623 

10.623 
623 
622 
62a 
622 
622 

10.622 
622 
6a  a 
62  a 
622 
622 

10.621 
621 
621 
6a  1 
6a  1 
6a  1 

10.621 


586 1 

4i3o 

3264 
a3o9 
i534 
06699 


|0 

8075 
7a  11 

6347 
5483 
4620 
3756 
2803 
aoSo 
1167 
o3o4 
9442 
858o 

77 '7 
6855 

5994 

5iJ2 
4270 
3409 
a548 
1687 
0826 
9966 
9106 
8a45 
7385 
6536 
5666 
4806 

3947 
3o88 
2229 
1370 
o5i2 
9653 

8795 
7937 
7079 
6222 
5364 
4507 
365o 
2703 
1936 
1080 

0233 
9367 

85ii 

7655 

6799 

5944 
5o88 
4a33 


•ec 


tai^. 


1.385  8876 

385  9793 
3860710 

386  1627 
386  2543 
386  3459 
.3864376 
386  5292 
3866207 
3867123 
386  8o38 

386  8954 
,.3869869 

387  0784 
387  1699 
387a6i3 
387  3528 
3874442 

>.387  5356 
387  6270 
387  7184 
3878097 
387  901 1 

387  9924 
>.388  0837 

388  i75o 
388  2663 
388  3575 
388  4488 
388  54fK> 

1.388  63 1 2 
388  7224 
388  81 36 
388  9047 

388  9959 

389  0870 
>.389i78i 

389  2692 
389  36o2 
389  45 1 3 
389  5423 
3896334 
).389  7244 
3898153 
3f<9  9o63 

389  9973 
3900882 

390  1791 
J.390  2700 

3903609 
3904518 
390  5436 
3906335 

390  7243 
>.39o8i5i 

3909059 
3909966 

391  0874 
391  1781 
391  2688 

>.39i  3595 


diCI" 


9 
90.9 

9 

9 


90.9 
90.9 
90.9 
90.9 
90.9 
90.8 

9«-9 
90.8 

90.8 

90.8 

90.7 
90.8 
90.7 
90.7 
90.7 


diCI" 


oo-tsng. 


10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 
6 
6 

10.6 
6 
6 
6 


4  1124 

40207 
39290 
3  8373 
37457 
3  6541 
3  5624 
34708 
33793 
3  2877 
3  1963 
3  io46 
3oi3i 

»2l6 


2  83oi 
27387 
26472 
2  5558 

2  4644 

a  3730 

2  2816 

2  1903 

20989 

2  0076 

0163 

825o 

7337 

6425 

55i2 

4600 

368e 

2776 

i864 

0953 

004 1 

09130 

08219 

o73o8 

06398 

o  5487 

o  4577 

o3666 

02756 

o  1847 
of»937 
00027 
6o9  9ir8 
6098209 

10.6097300 
6096391 
6095482 
6094574 
6093665 
6092757 

10.609  1849 
6090941 
6090034 
6089(26 
6088219 
6087312 

10.608  64o5 


ttLtlg. 


'SOU* 


A.I" 


10.0124737 

4788 
484o 
489! 

£|U£4« 

4993 

io.oi25o45 
5096 

5i47 
5io8 
525o 
53oi 
10.0125352 

54o4 
5455 
554)6 
5558 
5609 

io.oia566i 
5712 
5763 
58i5 
5866 
5918 

10.0135969 
6021 
6072 
6123 
6175 
6226 

10.0126278 
633o 
638 
6433 
6484 
6536 

10.0126587 
6639 
6691 
6742 
6794 
6845 

10.012689 

6949 
7000 

7o5a 
7»o4 
7i55 
10.01127207 
7259 
73ii 
7362 

74i4 
7466 
10.01 27518 
7569 
7621 
7673 
77a5 

7777 
10.01  a78a9 


co-iec. 


eo-Min. 


d.V' 


9.9875263 
5212 

5i6o 
5109 
5o58 
5007 

9.9874955 
49<'4 
4853 
480V 
475o 
4699 

9.987464^ 
459^ 
4545 
4494 
44h 
43oi 

9.98743.39 
4288 
4237 
4i85 
4i34 
408  3 

9.987403 1 
3979 
3938 

3877 
3835 

3774 
9.9873722 
3670 
36)9 
3567 
35i6 
3464 
9.9873413 
336i 
3309 
3358 
3206 
3i55 
9.9873103 
3o5 
3of)o 

2948 
2^96 

2845 

9.9872793 

2741 

2689 

2638 

2586 

2534 

9.9872489 

243] 

2379 

2327 

2275 

a233 

9.9873171 


■in. 


•><v 
5< 
4' 
3o 

2<v 

l< 

5i> 
4u 
3t 
30 

U) 

lb' 
5() 
4o 
3o 
20 
10 
17' 
5o 
4o 
3o 
20 
10 
16 
5o 
4o 
3o 
20 
10 
15' 
5o 
4o 
3o 

30 
10 

14' 

5o 
40 
3o 
20 
10 
i:v 
5() 
4o 
3<) 
30 
10 
12' 
5o 
4o 
3o 
30 
10 
II' 
5o 
4o 
3o 
20 
10 
10 


103^ 


76« 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


241 


1 30 


I660 


Bin. 


5l>' 
10 
20 
3o 
4o 
5() 
51' 
10 
20 
3() 
40 
5o 
53 
10 

2t» 

3o 

4o 

5o 

53' 

lOl 

20 

3o 

40 
5() 
54 
10 
20 
3o 
4o 
5o 
55' 
10 
20 
3o 
4o 
5o 
56 
10 
20 
3o 
4o 
5o 
■>7 
10 
20 
3o 
4o 
5o 
58' 
10 
20 
3() 
40 
5(. 
>{)' 
10 
20 
3o 
40 
5o 
60' 


9- 


1.378  5767 
3786622 
378  7476 

378  833  f 
3789186 

379  oo4o 
.3790894 
379 1748 
379  3602 

379  3455 

379  43o8 
3795162 
.3796015 
379  6867 

379  7720 
3798573 
3799425 

380  0277 
.38o  1129 
38o  1981 
38o  2832 
3So  3684 
38o  4535 
38o  5386 
.38o  6237 
3.S0  7088 
38o  7938 
38o  8789 

380  9639 

38 1  0489 
.38 1  1339 
38i  2188 
38 1  3o38 
38 1  3887 
38 1  4736 
38 1  5585 

38 1  6434 
38i  7283 
38i  8i3i 
38!  8979 
38i  9827 

382  0675 
38a  1 523 
382  2370 
3823218 
382  4o65 
3824912 
382  5759 
.382  66o5 
382  7452 
382  8298 
382  9144 

382  9990 

383  o836 
.383  1682 
383  2527 
383  3372 
383  4218 
383  5062 
383  5907 
.383  6752 


dif.l" 


eo^in. 


85.5 
85.4 
85.5 
85.5 
85.4 
85.4 
85.4 
85.4 
85.3 
85.3 

85.4 
85.3 
85.2 
85.3 
85.3 
85.2 
85.2 
85.2 
85.2 
85.1 
85.2 
85.1 
85.1 
85.1 
85.1 
85.0 
85.1 
85.0 
85.0 
85.0 

84.9 
85.0 

84.9 
84-9 
84.9 
84.9 
84.9 
84.8 
84.8 
84.8 
84.8 
84.8 

84.7 
84.8 

84.7 
84.7 
84.7 
84.6 

84.7 
84.6 
84-6 
84-6 
84.6 
84.6 
84.5 
84.5 
84.6 

84.4 
84.5 
84.5 


iitr 


co-sec. 


10.6214233 
621  3378 
621  2534 
621  1669 

621  o8i4 
6209960 

10.6209106 
6208352 
620  7398 
620  6545 
620  5692 
620  4838 

10.6203985 
620  3 1 33 
620  2280 
620  1427 
620  0575 
6199723 

ro.6198871 
6198010 
6197168 
6196316 
6195465 
6194614 

10.619  3763 
619  2912 
619  2062 
619  1211 
6190361 
6189511 

10.6188661 
618  7812 
6186963 
6i86ii3 
618  5264 
6i844i5 

10.618  3566 
618  27r7 
618  1869 
618  1021 
6180173 
6179325 

10.6178477 
6177630 
6176782 
617  5935 
617  5o88 

617  4241 
10.6173395 
617  2548 
617  1702 
6170856 
6170010 

616  9164 
10.616  83i8 
616  7473 
6166628 
6165782 
6164938 
616  4093 
10.616  3248 


tansr. 


9.391  3595 

391  45o2 
391  5400 
391  63i5 
391  7222 
3918128 

9.391  9034 

391  9940 

392  0845 
392  1 75 1 
392  2656 
392  356 1 

9.392  4466 
392  5371 
392  6276 
392  7180 
392  8084 

392  898^ 

9.393  989 

393  0796 
393  1700 
393  2604 
393  35o7 
393  44 10 

9.393  53i3 
3936216 
3937118 
3938021 
393  8923 

393  9825 

9.394  0727 

394  1629 
394  253 1 
394  3432 
394  4334 
394  5235 

9.3946136 
394  7037 
394  7937 
394  8838 

394  9738 

395  o638 

9.395  1 538 
395  2438 
395  3338 
395  4238 
395  5 1 37 
395  6o36 

9.395  6935 
395  7834 

395  8733 
3959631 

396  o53o 
396  1428 

9.396  2326 
3963224 
3964121 
396  5019 
396  5916 

3966814 
'9.3967711 


dif  I" 


aec. 


1030 


co-tang. 


31 


90.7 
90.7 
90.6 
90.7 
90.6 
90.6 
90.6 
90.5 
90.6 
90.5 
90.5 
90.5 
90.5 
90.5 
90.4 
90.4 
90.5 

90.4 
90.3 

90.4 

90.4 

90.3 

90.3 

90.3 

90.3 

90.2 

90.3 

90.2 

90.2 

90.2 

90.2 

90.2 

90.1 

90,2 

90,1 

90.1 

90.1 

90.0 

90.1 

90.0 

90.0 

90.0 

90.0 

90.0 

90.0 

89.9 

89.9 

89.9 

89.9 

89.9 
89.8 

89.8 
89.8 
89.8 
89.7 
89.8 
89.7 
89.8 
89.7 


co-tang. 


sec. 


10.608  64o5'io.oi  27829 


6085498 
6084591 
608  3685 
608  2778 
6081872 


7880 
7932 

7984 
8o36 
8088 


10.608  0966  10.0128140 


dif.r* 


6080060 
607  91 55 
607  8249 
607  7344 
607  6439 

10.607  5534 
607  4629 
607  3724 
607  2820 
607  1916 
607  101 1 

10.607  0T07 
606  9294 
6o6  83oo 
6067396 
6066493 
606  5590 

10.606  4687 
6063784 
6062882 
606  1979 
606  1077 
6060175 

io.6o5  9273 
6o5  8371 
6o5  7469 
6o5  6568 
6o5  5666 
6o5  4765 

io.6o5  3864 
6o5  2963 
6o5  3o63 
6o5  1162 
6o5  0262 
6o4  9362 

10.604  8462 
604  7562 
6046662 
604  5762 
604  4863 
6043964 

10.604  3o65 
6042166 
6o4  1 267 
604  0369 
6o3  9470 
6o3  8572 

io.6o3  7674 
6o3  6776 
6o3  5879 
6034981 
6o3  4o84 
6o3  3i86 


tang. 


8192 

8244 
8296 
8348 
8399 

10.0128451 
85o3 
8555 
8607 
8659 
871 1 

10.0128764 
8816 
8868 
8920 
8972 
9024 

10.0129076 
9128 
9180 
9232 
9284 
9337 

10.0129389 
9441 
9493 
9545 
9598 
9650 

10.0129702 

9754 
9807 
9859 
99II 
10.0129963 
io.oi3ooi6 
0068 
0120 
0173 
0225 
0277 
10.01 3o33o 
o382 
o434 
0487 
0539 
0592 

10.01 3o644 
0696 

0749 
0801 

o854 
0906 


d.1" 


o.6o3  2289  10.0130959 


5.1 

5.2 
5.2 
5.2 
5.2 
5.2 

5.2 

5.2 
5.2 
5.2 

5.1 

5-2 
5.2 
5.2 
5.2 
5.2 
5.2 

5.3 

5.2 
5.2 
5.2 
5.2 

5.2 

5.2 

5.2 

5.2 

5.2 

5.2 

5.3 

5.2 
5.2 
5.2 
5.2 

5-3 
5.2 

5-2 
5-2 

5.3 
5.2 

5-2 

5.2 


co-Bin. 


9.9872 1 71 
2120 

2068 

2016 

1964 

1912 

9.9871860 

1808 

1756 
1704 
i652 
1601 

9.9871549 
1497 
1445 
1393 
1 341 
1289 

9.9871236 
ii84 


Il32 

1080 
1028 
0976 

9.9870924 
0872 
o8ao 
0768 
0716 
o663 

1 9.98706 1 1 
0559 
o5o7 
0455 
o4o2 
o35o 

9.9870298 
0246 
0193 
oi4) 
0089 
^■3  9.9870037 


5.2 
5.2 
5.3 
5.2 
5.2 
5.3 
5.2 
5.2 
5.3 
5.2 
5.3 

5.2 

5.2 
5.3 

5.2 

5.3 

5.2 

5.3 


9.9869984 
9932 
9880 
9827 
9775 
9723 

9.9869670 
9618 
9566 
95i3 
9461 
9408 

9.9869356 
9304 
925 1 
9199 
9146 
9094 

9.9869041 


co-sec. 


d.1 


Bin. 


10' 

5e 

40 

3o 

20 

10 

9' 

5o 

4o 

3o 

20 

10 

8' 

5o 

4o 

3o 

20 

10 

7/ 

5o 

4o 

3o 

20 

10 

& 

5o 

4o 

3o 

20 

10 

5' 

5o 

40 

3o 

20 

10 

4' 

5o 

4o 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

10 

2' 

5o 

4o 

3o 

20 

10 

1' 

5o 

4o 

3o 

20 

10 

0' 


T«<» 


I 


ItOeARITHMIC     SINES,    TANGENTl-,     &C. 


IK 

III 


I4» 


105° 


10 

'30 
■•Ju 

4o 

5o 
1/ 

lo 

90 

So 

4o 

5o 
21 

lO 

3o 
4o 

5t) 

10 

ao 
3o 

5o 

4' 

10 

ao 

JO 

40 

5o 
5, 

10 

3o 

4o 

5o 

6' 

10 

20 

■JO 

4o 
5o 

7* 
10 

30 

•30 

4o 

5o 
8* 

10 
20 

3o 

4o 

5o 

9' 

10 

30 

3o 

4o 

i5o 

If 


dKI" 


a3B36753 

3ft37596 
3838440 

3^39384 

384<>i38 

384  twa 

9-384  im5 

384  3669 
38435o3 
3044345 
3845i88 
3846o3o 

9.3846873 
3847715 

3848557 
3849399 

385  oa4 

385io83 
9-385  1934 
385  '1765 
3853607 
■jtizt  4447 
385  5288  ft. . 
3856139  ^/ 

<J03  78 

3858649 

385  9489 

386  0839 


844 

04  •4 
84<4 
844 
84*3' 

843 

843 
84.3 

84.2 
84.3 
84.2 
84-2 
84-3 
84.3 
84-2 
84.1 
84.1 
84.2 
84.0 
84.1 


386  1 169 

9.386  2008 

3862847 
38636861 
3864525 

386  5364 
3866202 

9-386  7040 
3867879 
3868717 
3869554 

387  o3o2 
387  laio 

9.387  2067 
387  2904 
3873741 
3874578 
387  54i4 
3876351 

9.387  7067 
387  7923 
387  8759 

387  9595 

388  o43o 
388  1366 

9.388  3IOI 

388  3936 

388  3771 
388  46o6 

388  5440 

3886275 

9-388  7109 


co-flia. 


o 
84.0 
84*o 
84.0 
84.0 
84.0 
83.9 
83-9 
83-9 
83.9 
83-9 
83.8 
83.8 
83-9 
83.8 
83-7 
83.8 
83.8 
83-7 
83.7 
83.7 
83.7 
83.6 
83-7 
83.6 
83.6 
83.6 
83.6 
83.5 
83.6 
83.5 
83.5 
83.5 
83.5 
83.4 
83.5 
83-4 

die  I" 


10.614  3o3i 
6i4  2191 
614  i35i 
6i4o5ii 
6139671 
6i3  883i 

10.61 3  7992 


laiif. 


io.6i63a48  9^396  771 1 
6i6a4o4  3968607 
6i6i56o  3969504 
6160716  3970401 
615987a  3971297 
6i5Qoa8  3972103 

10.61 5  8i85  9J97  3c8o 
61 5  734'  397  3b85 
6i5  64o8  397  488 » 
61 5  5655  3975777 
6i5  48i2  3976672 
61 5  3970  397  7567 

10.61 5  3i  17  9.397  8463 
61 5  2285  397  0357 
6i5i443  3980352 
61 5  0601  398  1 147 
6149759  3983041 
614  8917  3982036 

10.614  8*776  9.398  383o 
6147335  3984724 
6i463o3 
614  5553 
6144713 
6i4  3871 


398  5617 

398  65i  I 
3987406 
3988396 

9.398  9191 
3990084 

3990977 
3991869 
3992762 

399  3654 
93994547 


61371 53  3995439 


6i3  63i4 

61 3  5475 

6i3  4636 

6133798 

10.6133960 

6l32l2I 

6i3i383 
61 3  0446 
6139608 
6138770 


10.612  7933  9.400  5340 


399  633o 
3997333 
3998114 
3999005 

9.3999896 
4000787 

400  1678 
4002569 
4oo  3459 
4oo  435o 


6137096 

612  6259 

613  5422 
612  4586 
612  3749 

10.612  2913 

612  2077 

613  1341 
6i3o4o5 
61 1  9570 

6118734 
10.6 II  7899 
61 1  7064 
611  6339 
611  5394 
611  456o 
611  3725 
10.611  2891 


■nc. 


4oo6i3o 
4oo  7030 
4007910 
4008799 
4009689 

9.401  0578 
4oi  1467 
4oi  2356 
4oi  3245 
4oi  4i34 

4oi  5022 

9.4101  5910 
4oi  6709 
4oi  7687 
4oi  8574 
4oi  9462 
4o2  o35o 

9.402  1237 


co-taag. 


89.6 
89.7 
^7 

89^6 
89.6 
8916 
89.6 
89.6 
89.5 
89.5 
8916 

89^4 
89.5 
89.5 

8914 
89.5 

89.4 

89.4 

89.3 

89.4 

89.4 

89.3 

89.3 

89.3 

89.3 

891a 

89.3 

89.2 

89.3 

89.3 

89.1 

89.2 

89.3 

89.1 

89.1 

89.1 

89.1 

89.1 

89.0 

89.1 

89.0 

89.0 

89.0 

89-0 

88.9 

89.0 

88.9 

88.9 

88.9 

88-9 

88.9 

88.8 

88.8 

88.9 

88.8 

88.7 

88.8 

88.8 

88.7 


0»-lBOft 


io.6o3  3389 
6o3i39§ 
6030496 

6028703 
6027807 

10.603  691 1 
6o3  6oi5 
603  5119 
602  422J 
602  3328 
6t>2  2433 

10.603  1 537 
6020643 
601  9748 
601  8853 
601  7959 
601  7064 

10.601  6170 
601  5376 
601  4383 
601  3489 
601  3595 
601  1702 

10.601  0809 
6009916 
6009033 
6oo8i3 
6007238 
6006346 

10.600  5453 
6004561 
6003670 
6002778 
6001886 
6000995 

10.6000104 
599931 
►  832 


me. 


A.I 


dif.  1/ 


599 
5997431 

5996541 
5995650 

10.5994760 
599  3870 
5992980 
5992090 
599  i2or 
599  o3i  I 

10.598  9439 
5988533 
5987644 
5986755 
5985866 
5984978 

10.598  4090 
598  3201 
598  33i3 
5981426 
5980538 
5979650 

10.597  8763 


taag. 


10-0130959 
ion 
1064 
1 1 16 
1169 
1221 

io^i3i274 
1327 
1379 
i432 

1484 
1 537 
io.oi3i59o 
1642 
1695 

1747 
1800 

i853 
10.0131906 

1958 
2011 
2064 
2116 
2169 

IO.Of32232 

2275 
2327 

238o 
2433 
2486 
10.0132539 
2591 

a644 
2697 
3750 
28o3 
10.01 33856 
»  2909 
3962 
3oi4 
3067 

3l20 

10-01 33 1 73 

3226 
3279 
3332 
3385 
3438 
10.01 3349 1 
3544 
3597 
365o 
3703 
3756 

I<M>l  33809 

3863 
3916 
3969 
4022 
4075 
io-oi34i28 


co-«jn. 


5.2 

531 

5.2 

5.31 

5.2 

5.3 
5.3 

5-2 

5.3 

5,3 

5.3 
5-3 
S2 

5.3 

5.3 

5.3 
5.3 
5.3 

5.2 

5.3 
5.3 

5.2 

5.3 

5.3 
5.3 

5.3 

5.3 
5.3 
5.3 
5.3 

5.2 

5.3 
5.3 
5.3 

5.3 
5.3 

5.31 

5-3 

5-3 
5.3 

5.3 


9.9869041 
8989 
8936 
8884 
883 

8779 
9.9866726 

8^73 
8621 
8568 
85i6 
8463 
9.9666410 
8358 
83f)5 
«253 
8200 

8147 
9.966B094 
8043 
7989 
7036 
7884 
783 1 
919667778 
7725 
7673 
7620 
7567 
75i4 
919867461 
7409 


eo-wc. 


^- J  9.9866827 

"^    6774 
6721 


5.3 
5.3 
5.3 
5.3 
5.3 
5.3 
5.3 
5.3 
5.3 
5.3 
5-3 
5-4 
5.3 
5.3 
5.3 
5.3 
5.3 


7356 
73o3 
725o 

7197, 
919667 1 44|54' 
7091 
7o38 
6986 
6933 
6880 


60' 

5o 
4o 
3o 
30 
lo 

59' 
5o 

,40 
3o 

3f> 

10 
58' 
5o 
4o 
3o 
30 
10 
57' 
5o 
40 
3o 
20 
10 
.%•' 
5c 
4o 
3o 
20 
10 
55 
5o 
4o 
3o 
20 

TO 


d.l' 


6668 
66i5 
656? 
9.9866509 
6456 
64o3 
635o 

6297 

6244 

9196661 

61 


7 
6084 
6o3i 
5978 
59?  5 
919865872 


5o 

4o 
3o 
20 
10 

.53' 
5o 
4o 
3o 
20 
ro 

.52' 
5o 
4o 
3o 
20 
10 

51 
5o 
4o 
3o 
20 
10 

•50 


■ID. 


IQ40 


750 


f 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


243 


140 


165° 


111' 
10 
20 
3o 
4o 
5o 
II' 
10 
20 
3o 
40 
5o 
12 
10 
20 
3o 
4o 
5o 
13 
10 
20 
3o 

4o 
5o 
14' 
10 
20 
3o 
4o 
5o 
15' 
10 
20 
3o 
4o 
5o 
IC 
10 
20 
3o 
4o 
5o 
17' 
10 
20 
3o 
4o 
5< 
18 
10 
20 
3o 
4o 
5o 
19' 
10 
20 
3o 
4o 
5o 
20' 


sin. 


9.3887109 
388  794J 

388  8777 
3889611 

389  0444 
389  1277 

9.389  2111 
389  2944 
389  3777 
389  4609 
389  5442 
3896274 

9.3897106 

389  7938 

389  8770 
3899602 

390  0433 
390  1265 

9.390  2096 
390  2927 
3903758 
390  4588 
3905419 
390  6249 

9.390  7079 
3907909 
390  8739 

390  9669 

391  0398 
391  1227 

9.391  2057 
391  2885 
391  3714 
391  4543 
391  5371 
391  6200 

9.391  7028 
391  7856 
391  8684 

391  95 II 

392  0339 
392  1 166 

9.392  1993 
392  2820 
392  3647 

392  4473 

393  53oo 
392  6126 

9.392  6952 
392  7778 
392  8604 

392  9430 

393  0255 
393  1080 

9.393  1905 
393  2730 
.393  3555 
393  438o 
393  5204 
393  6028 

9.393  6852 


diC  1" 


co-8in. 


83-4 

83.4 

83.4 

83.3 

83.3 

83.4 

83.3 

83.3 

83.2 

83.3 

83.2 

83.3 

83.2 

83.2 

83.2 

83.1 

83.3 

83.1 

83.1 

83.1 

83.0 

83.1 

83.0 

83.0 

83.0 

83.0 

83.0 

82.9 

82.9 

83.0 

82.8 

82.9 

82.9 

82.8 

82.9 

83.8 

83.8 

83.8 

82.7 

82.8 

82.7 

82.7 

82.7 

82.7 

82.6 

82.7 

82.6 

82.6 

82.6 

82.6 

82.6 

82.5 

82.5 

82.5 

82.5 

82.5 

82.5 

82.4 

82.4 

82.4 


co-sec 


tang. 


10.611  2891  9.402  1237 
6112057  4022124 
611  1223  4o2  3oiI 
61 1  0389  402  38 
6109556  40247^5 
6108723  4025671 

10.610  7889  9.402  6558 
6107056  4027444 
6106223  4o2  833o 
610  5391  4029216 
610  4558  4o3  0102 
6103726  4030987 

10.610  2894  9.403  1873 
610  2062  4o3  2758 
6ioi23o  4o3  3643 
6100398  4034528 
6099567  4o3  54i3 
609  8735  4o3  6298 

10.609  7904  9-4o3  7182 
609  7073  4o3  8067 
609  6242 


diCI" 


co-tang. 


609  54l2 
6094581 
6093751 

10.6092921 
609  2091 
609  1261 
6090431 
608  9602 
6088773 

10.608  7943 

608  71 1 5 
608  6286 
608  5457 
608  4629 
6o8  38oo 
10  608  2972 
608  2144 
608  i3i6 
6080489 
607  9661 
607  8834 


4o3  8q5i 

403  90  3  5 
4040719 

404  1602 
9.404  2486 

4o4  3369 
4o4  4253 
4o4  5i36 
4046019 
4046901 

9.404  7784 
4o4  8666 

404  9549 
4o5o43i 

405  i3i3 
4o5  2195 

9.405  3076 
4o5  3958 
4o5  4839 
4o5  5720 
4o5  66oi 
4o5  7482 


10.607  8007  9.405  8363 
6077180I  4059243 


di£r' 


607  6353 
607  5527 
6074700 
607  3874 

10.607  3o48 
607  2222 
607  1396 
6070570 
6069745 
6060920 

10.606  8095 
606  7270 
6066445 
6065620 


6063972 
10.606  3i48 


Bee. 


4060134 

4o6  ioo4 
4o6  t884 
406  2764 

9.406  3644 
4o6  4524 
4o6  54o3 
4o6  6282 
4067161 
4o6  8o4o 

9.4068919 

406  9798 

407  0676 
407  1 555 


606  4796  407  2433 


407  33 1 1 
9.4074189 


co-tang. 


88.7 
88.7 
88.7 
88.7 

88.6 

88.7 

88,6 

88.6 

88.6 

88.6 

88.5 

88.6 

88.5 

88.5 

88.5 

88.5 

88.5 

88.4 

88.5 

88.4 

88.4 

88.4 

88.3  I 

88.4 

88.3 

88.4 

88.3 

88.3 

88.2 

88.3 

88.2 

88.3 

88.2 

88.2 

88.2 

88.1 

88.2 

88.1 

88.1 

88.1 

88.1 

88.1 

88.0 

88.1 

88.0 

88.0 

88.0 

88.0 

88.0 

87.9 
87.9 
87.9 
87.9 
87.9 
87.0 
87.6 
87.9 
87.8 
87.8 
87.8 


«ec. 


10.597  8763 
597  7876 
597  6989 
597  6102 
597  52 1 5 
5974329 

10.597  3442 
597  2556 
597  1670 
597  0784 
5969898 
5969013 

10.5968127 
596  7242 
596  6357 
596  5472 
5964587 
596  3702 

10.5962818 
596  1933 
596  1049 
596  oi6d 
595  9281 
595  8398 


10.01 34128 
4i8i 
4234 
4288 

4341 
4394 

10.01 34447 
45oo 

4554 
4607 
4660 
47i3 

10.0134767 
4820 
4873 
4927 
4980 
5o33 

10.01 35087 
5i4o 
5193 

5247 

53oo 

5353 

10.595  75  r4|  10.01 35407 

595  6631     5460 


d.1"   co-ain. 


dif.l" 


595  5747 

595  4864 
595  3981 
595  3099 

10.595  22 16 

595  1 3 34 
5950451 
5949569 
5948687 
594  7805 

10.5946924 
594  6042 
5945161 
594  4280 
5943399 
594  25 1 8 

10.594  1637 
594  0757 
593  9876 
593  8996 
5938116 
593  7236 

10.593  6356 
593  5476 
593  4597 
5933718 
593  2839 
593  i960 

10.593  1081 
593  0202 
592  9324 
592  8445 
592  7567 
592  6689 

10.592  58ii 


tang. 


55i4 
5567 
5621 
5674 

10.0135737 
5781 
5834 
5888 
5941 
5995 

10.01 36048 
6102 
6i56 
6209 
6263 
63 16 

1 0.0 1 36870 

6424 

6477 
653i 

6584 

6638 

10.0136692 

6745 

6799 
6853 
6906 
6960 

10.0137014 
7068 
7121 
7175 
7229 
7283 

10.0137337 


5.3 
5.3 
5.4 
5.3 
5.3 
5.3 
5.3 

5.4 
5.3 
5.3 

5.4 
5.3 
5.3 

5.4 
5.3 
5.3 
5.4 
5.3 
5.3 

5.4 
5.3 
5.3 

5.4 
5.3 
5.4 
5.3 

5.4 
5-3 
5.3 

5.4 
5.3 
5.4 
5.3 

5.4 
5.3 

5.4 
5.4 
5.3 

5.4 
5.3 

5.4 
5.4 
5.3 
5.4 
5.3 
5.4 
5.4 
5.3 

5.4 
5.4 
5.3 

5.4 
5.4 
5.4 
5.3 
5.4 
5.4 
5.4 
5.4 


9.9865872 
5819 


50' 

5o 
40 


5766 

5713  3o 

5659  ^o 

56o6  10 
9.9865553  49' 

55oo  5o 

5446 

5393 

5340 

5387 
9.9865333 

5i8o 

5l37 

5073 
5o2o 

4967 
9.9864913 

4860 
4807 

4753 

4700 

464-7 
9.9864593 

4540 

4486 

4433 

4379 

4326 
9.9864273 

4219 

4i66 

4ll2 

^59 

4oo5 

9.9863952 

3898 

3844 
379 

3737 

3684 
9.9868630 

3576 

3523 

3469 

34i6 

3362 
9.9863308 

3255 

320 

3i47 
3094 
3o4o 
9.9862986 
2982 

3879 
2825 
2771 
2717 
9.9862668 


co-sec. 


d.1" 


4o 
3o 
20 
10 
48' 
5o 
4o 
3o 
20 
10 
47' 
5o 
4o 
80 
20 
10 
4G' 
5<) 
40 
80 
20 
10 
45' 
5o 
4o 
80 
20 
10 
44' 
5o 
4o 
3o 
20 
10 
43' 
5o 
4o 
80 
20 
10 
42' 
5o 
4o 
3o 
20 
10 
41' 
5o 
4o 
80 
20 
10 
40' 


Bill. 


1040 


750 


I 


4 


!244 


LOGARITHMIC     SIN£Sf     TANGENTS,     &C. 


14« 


165' 


120' 

10 
20 

3o 
4o 
5o 

mi 

to 

30 

4o 
5o 

llji* 

lO 
20 

3o 
4o 

■iJK.1 

123' 
lo 


4 

ff    I 

5o 
24 
lo 

20 

3o 

4b 
5o 

US' 

10 

ao 

4o 
5o 

lO 

ao 

4o 
5o 
•27 

lO 

ao 
3o 
4o 
5o 

10 

ao 
'3o 
4o 
5o 
W 

10 

ao 
3o 
4o 
5o 
30' 


9.3936852 
393  7676 
3938500 

393  93a4 
3940147 
3940971 

9.394  1794 

394  3617 
3943439 
394  4362 
3945084 
394  5907 

9.394  6729 
3947551 

394  8373 
3949194 
3950016 

395  0837 

9.395  i658 
395  2479 
395  33oo 
3954120 

3954941 

395  5761 

9.3956581 

395  74oi 
3958221 
3959041 
3959860 

396  0679 
9396  1499 

3962318 
39631 36 
3963955 
3964773 

396  5592 
9-396  64  «o 

3967228 
3968046 
3968863 
3969681 

397  0498 
9.397  i3i5 

397  2 1 32 
397  2949 
397  3766 
397  4582 
397  5399 

9.397  62 1 5 
3977031 
397  7847 
3978663 

397  9478 

398  0293 
9^398  1 109 

398  1924 
398  3739 
39vH  3553 
3984368 
3985182 

9.398  5996' 


diCl" 


82.4 

8a.4 

8a. 4 

82.3 

82.4 

82.3 

82.3 

8a.2 

82.3 

82.2 

82.3 

82.2 

82.2 

82.2 

8a.  I 

8a.a 

8a.i 

83.1 

83.1 

83.1 

83 .0 

83.1 

82.0 

82.0 

82.0 

82.0 

8a.o 

81.9 

81.9 

82.0 

81.9 

81.8 

81.9 

81.8 

81.9 

81.8 

8r.8 

81.8 

81.7 

81.8 

81.7 

81.7 

81.7 

81.7 

81.7 

81.6 

81.7 

81.6 

81.6 

81.6 

81.6 

81.5 

81.5 

81.6 

81.5 

81.5 

81.4 

81.5 

81.4 

81.4 


to-90e. 


tang. 


co-tin. 


dif.l" 


10.606  3 1 48 
606  2324 
606  i5oo 
6060676 
605*9853 
6o5. 0029 

10.60582069 
6o5  7383 
6o5  656i 
6055738 
6054916 
6()5  4093 

10.6053271 
6o5  2449 
6o5  1627 
6o5o8o6 
6049984 
604  9163 

10.604  8342 
604  752 1 
6046700 
6045880 
604  5o59 
604  4239 

10.6043419 
6042599 
604  1779 
6040959 
6o4  oi4o 
6o3  932 1 

io.6o3  85oi 
6o3  7682 
6o3  6864 
6o3  6045 
6o3  5337 
6o3  44o8 

io.6o3  3590 
6o3  2772 
6o3  1954 
6o3  11 37 
6o3o1i9 
602  9502 

1 0.603  86S5 
6037868 
602  7o5i 

602  6234 

603  5418 
6034601 

10,602  3785 

602  2969 

603  3 1 53 
60a  1 337 
6oao5a2 

60  T  9707 

10.601  689  T 

601  8076 

601  7261 

601  6447 

601  5632 

601  48f8 

10.601 4oo4  9 


1.407  4189 
4075067 
407  5o44 

407  6822 
4077699 
4078576 
.407  9453 

408  o33o 
4o8  1 207 
4o8  2o83 
4o8  2959 
4o8  3836 

>.4o8  47i2 
4o8  5588 
4o8  6463 
4o8  7339 

4088214 

408  9090 
).4o8  9965 

4090840 
4091714 

409  2589 
409  3464 
4094338 

1.409  52 1  3 
4096086 
409  6964 

4097834 

409  8707 
4099581 


atv 


■ec. 


o  0454 
o  1 327 
o  2200 
o3o73 
o3q45 
04818 
05690 
o6563 
07435 
o83o6 
09178 
oo5o 
0931 
1793 
2663 
3534 
44o5 
5276 
61 46 
7017 
7887 

8757 
9627 

20497 
2  1 366 

2  2236 

2  3io5 
33974 
2  4843 
2  5712 
a658i 


87.8 

87.7 
87.8 

87.7 

87.7 

87.7 

87.7 

87.7 

87.6 

87.6 

87.7 

87.6 

87.6 

87.5 

87.6 

87.5 

87.6 

87.5 

87.5 

87.4 

87.5 

87.5 

87.4 

87.4 

87.4 

87.4 

87.4 

87.3 

87.4 

87.3 

87.3 

87.3 

87.3 

87.2 

87.3 

87.2 

87.2 

87.3 

87.1 

87.2 

87.2 

87.1 

87.1 

87.1 

87.1 

87,1 

87.1 

87.0 

87.1 

87.0 

87.0 

87.0 

87.0 

86.9 

87.0 

86.9 

86.9 

86.9 

86.9 

86.9 


60.tftll{» 


10 


10 


10 


10 


co-tang,  did" 


10.59a  58 11 
592  4933 
592  4o56 
592  3178 

592  23oi 

593  1434 
10.592  o547 

591  0670 
591  0793 
591  7917 
591  7041 
591  6i64 

10.591  5388 
591  44i^ 
591  3537 
591  2661 
591  1786 
591  0910 

10.591  oo35 
5909160 
590  8286 
5907411 
590  6536 
5905662 

10.5904788110 
590  39 1 4J 
590  3o4<> 
590  2166 
590  1293 
5900419 

10.5899546 
5898673 
589  78o( 
589  6927 
589  6o55 
5895182 

10.5894310 
589  3438 
589  2565 
589  1694 
5890822 
588  9950 

10. 588  9079 
588  8208 
588  7337 
588  64m 
588  5595 
588  4724 

10.588  3854 
588  2983 
588  2113 
588  1 243 
588  0373 
587  95o3 

10.587  8634 
587  7764 
5876895 
587  6026 

5875157 
587  4288 
10.587  3419 


.0137337 
7390 

7444 
74q8 
7553 
7606 

,0137660 
77i3 
7767 
7821 
7875 
7929 

0137983 
8o37 
8091 
8145 


d.!" 


co-Min. 


c  -,  9.9862663 
^•^  2610 


10 


10 


10 


10 
10 
10 


10 


10. 


0i383o7 
836 1 
84i5 
8469 
8523 

8577 
.01 3863 1 

8685 
8739 
8793 
8847 
8901 

.0138955 
9010 
9064 
9118 
9172 
9226 

01 39280 
9335 
9389 
9443 

9497 
9551 
.0139606 
9660 
9714 

9877 

•01 3993 1 

.0139986 

.oi4oo4o 

0094 

0149 

030.3 

.oi4o258 
o3i3 
o366 
0421 
0475 
o53o 

oi4o584 


tang. 


co-iec. 


5.4 

5.4 

5.4 

5.4 

5.4 

5.3 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.4 

5.5 

5.4 
5.4 
5.4 
5.4 
5.4 
5.5 
5.4 
5.4 
5.4 
5.4 
5.5 

5.4 
5.4 
5.5 
5.4 
5.4 
U 
5.5 

5.4 
5.4 
5.5 
5.4 

5.5 

5.4 
5.4 
5.5 
5.4 
5.5 
5.4 


2556 

25o2 

3448 
2394 
9.9862340 
3287 
aa33 
ai79 

2125 

2071 

9.9863017 

1963 

i855 
1801 

1747 
9.9861693 
1639 
1585 
i53i 

1477 
1423 
9.9861369 
i3i5 
1261 
1307 
ii53 

9.9861045 
0990 
ou36 
088 
0828 
0774 

9.986079 
o665 
0611 
0557 
o5o3 
0449 

9.9860394 
o34(> 
0286 
023 1 


4i\' 
5o 
4o 
3o 
20 
10 
31)' 


0177 

01 23 

9.986<x)69 

9.9860014 
9.9859960 

%1 

^^9797 

9.9859742 

9688 

9634 

9525 

9470 

9.9859416 


d.l" 


4<) 
3o 
20 

lO 

'SS' 

5o 

40 

3o 

20 

to 

37 

5c 

4o 

3o 

20 

10 

:Ui' 

5o 

4o 

3o 

20 

10 

35' 

5o 

4o 

3o 

20 

10 

.34' 

5o 

40 

3o 

20I 

10 

33' 

5o 

40 

3o 

20 

10 

;V2' 
5o 
40 
3o 
20 
10 
31' 
5o 
4o 
3o 
20 
10 
30' 


■in. 


104<» 


750 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


245 


14« 


165' 


30' 
10 
20 
3o 

4() 
5o 
31' 
10 
20 
3o 
40 
5o 

H 
■M 
3( 

4< 

^. 

33' 

10 
20 
3o 

40 
5o 
:i4 

10 
30 
3( 
4< 
5(1 
35 
10 
20 
3o 
40 
5o 
36 
ic 

2t; 

3o 

4( 

5f 

37' 
10 
20 
3o 
40 
"^o 

38 
10 
20 
3o 
4o 
5o 

3) 
10 
20 
3o 
40 
5o 

40 


sin. 


9.398  59  ;( 
39-)  6810 
398  7624 
398  8438 

398  9252 
3990065 

9.399  0878 

399  1691 
399  25o4 
3993317 
399  4 1 3o 
399  4942 

9.399  5754 
3996567 

3997379 

399  8 1 90 
3999002 
3999813 

9.4000625 

400  1 436 
4oo  2247 
4oo  3o58 
400  3868 
4oo  4679 

9  4oo  5489 
400  6299 
4007109 

4007919 
4oo  8729 

4oo  9538 
9.401  o348 
4oi  II 57 
4oi  T966 
4oi  2775 
4oi  3584 
4oi  4392 

9.40 1  520 1 
4oi  6009 
4oi  6817 
4oi  7625 
4oi  8433 
4oi  9240 

9.402  oo48 
4o2  o855 
4o2  1662 
4o2  2469 

402  3276 

403  4082 
9.402  4889 

4o2  5695 
4o2  65oi 
4o2  73o7 

402  81 13 

402  8919 

9.402  9724 

403  o53o 
4o3  i335 
4o3  2i4o 
4o3  2945 
4o3  375o 

9.403  4554 


co-Bin. 


diCl" 


.0 
.0 
.0 
80.9 
81.0 
80.9 
80.9 
80.9 

80.  Q 
80.8 
80.9 
80.8 
80.8 
80.8 
80.8 
80.7 
80.8 
80.7 
80.7 
80.7 
80.7 
80.6 
80.7 
80.6 
80.6 

eo.6 
80.6 
806 
80.5 
80.6 
80.5 
80.5 
80.5 
80.5 
80.4 


did" 


co-sec. 


10.601  4oo4 
601  3190 
601  2376 
601  1 562 
601  0748 
6009935 

10.6009122 
6oo83o9 
6007496 
6006683 
600  5870 
600  5o58 

10.600  4246 
600  3433 
600  2621 
600  1810 
6000998 
6(X)oi87 

10.5999375 
599  8564 
599  7753 
5996942 
5996132 
5995321 

10.5994511 
5993701 
599  2891 
5992081 
599  1271 
599  0462 

10.598  9652 
598  8843 
598  8o34 
598  7225 
598^416 
5985608 

10.598  4799 
598  399 
5983183 
598  2375 
5981567 
598  0760 

10.597  9952 
597  9145 
597  8338 
597  753 1 
597  6724 
597  5918 

10.597  5in 
597  43o5 
597  3499 
597  2693 
597  1887 
597  io8t 

10.597  0276 
596  9470 
5968665 
5967860 
596  7055 
596  6250 

10.596  5446 


aec. 


tang. 


9-4 
4 
4 
4 
4 
4 

9-4 
4 
4 
4 
4 
4 

9-4 
4 
4 
4 
4 
4 

9-4 
4 
4 
4 
4 
4 

'1 

4 
4 
4 
4 

'1 

4 
4 
4 
4 

9-4 
4 
4 
4 
4 
4 

9-4 
4 
4 
4 
4 
4 

9-4 
4 
4 
4 
4 
4 

9.4 
4 
4 
4 
4 
4 

9-4 


2  658 1 

27449 
2  83i7 

2  9186 
3oo54 
30922 
31789 

3  2657 
33524 
34392 

3  5259 
36126 
369c 
37859 
38726 
39592 
4o45o 
4i325 

4  2191 
4  3o56 
4392 
44788 
4  5653 
465r8 
4  7383 

4  8248 
49113 

49977 

5  0842 
5  1706 
5  2570 
53434 
5429b 
5  5i62 
5  6025 
56889 
5  775-^ 

5  861 5 
59478 
6o34i 

6  i2o3 
6  2066 
6  2928 
63790 
6  4653 

6  55i4 
66376 
67238 
68099 
68961 
69822 
7o683 
71544 

7  24o4 
7  3265 
7  4i25 
74985 
7  5846 
76706 
7  7565 
78425 


co-tang. 


diCl" 


86.8 

86.8 

86.9 

86.8 

86.8 

86.7 

86.8 

86.7 

86.8 

86.7 

86.7 

86.7 

86.6 

86.7 

86.6 

86.7 

86.6 

86.6 

86.5 

86.6 

86.6 

86.5 

86.5 

86.5 

86.5 

86.5 

86.4 

86.5 

86.4 

86.4 

86.4 

86.4 

86.4 

86.3 

86.4 

86.3 

86.3 

86.3 

86.3 

86.2 

86.3 

86.2 

86.2 

86.3 

86.1 

86.2 

86.2 

86.1 

86.2 

86.1 

86.1 

86.1 

86.0 

86.1 

86.0 

86.0 

86.1 

86.0 

85-9 

86.0 


did" 


co-tang. 


ro.5873419 
587  255 1 
587  1 683 
5870814 
586  9946 
5869078 

I0.58682I1 
586  7343 
586  6476 
586  56o8 

586  4741 
586  3874 

10.586  3oo7 
586  2i4i 
5861274 
586o4o8 
585  9541 
585  8675 

10. 58  5  7809 
585  6944 
585  6078 
585  5212 
585  4347 
585  3482 

10.585  2617 
585  1752 
585  0887 
585  0023 
584  9158 
584  8294 

10. 584  743o 
584  6566 
584  5702 
584  4838 
584  3975 
584  3III 

10.584  2248 
584  i385 
584o522 
583  9659 
583  8707 
583  7934 

10.5837072 
583  6310 
583  5347 
583  4486 
583  3624 
583  2762 

10.583  1901 
583  1039 
583  017 
582931 
582  8456 
582  7596 

10.582  6735 
582  5875 
582  5oi5 
5824154 
582  3394 
582  2435 

10  582  1575 


sec. 


!d.l" 


taiig. 


io.oi4o584 
0639 
0693 

0747 
0802 

o856 
10.014091 1 
0966 
1020 
1075 
1 1 29 
1184 
io.oi4i338 
1293 
i347 

l402 

1457 

i5ii 
io.oi4i566 
162 1 
1675 
1730 
1785 
1839 
1 0.014 1 894 
1949 
2004 
2o58 
aii3 
2168 
10.0142223 
2277 

2332 

2387 
2442 
2497 
10.014255 I 
2606 
2661 
2716 
2771 
3826 

10.014288 1 
2936 

2991 

3o45 
3ioo 
3i55 

10.0143210 
3265 
3320 
3375 
343o 
3485 

io.oi4354o 
3595 
365 1 
3706 
3761 
38i6 

10.0143871 


co-sec. 


5.5 
5.4 
5.4 
5.5 

5.4 
5.5 
5.5 
5.4 
5.5 

5.4 
5.5 

5.4 
5.5 

5.4 
5.5 
5.5 
5.4 
5.5 
5.5 
5.4 
5.5 
5.5 

5.4 
5.5 
5.5 
5.5 

5.4 
5.5 
5.5 
5.5 

5.4 
5.5 
5.5 
5.5 
5.5 

5.4 
5.5 
5.5 
5.5 
5.5 
5.5 
5.5 
5.5 
5.5 

5.4 
5.5 
5.5 
5.5 
5.5 
5.5 
5.5 
5.5 
5.5 
5.5 
5.5 
5.6 
5.5 
5.5 
5.5 
5.5 


co-sin. 


d.!" 


9.9859416 
9361 
9307 
9253 
9198 

9144 
9.9859089 
9034 
898c 
8925 
8871 
8816 
9.9858762 
8707 
8653 
8598 
8543 
8489 

9.9858434 
83-7, 
832 
8270 
82i5 
8161 

9.9858106 
8o5 
7996 
7942 
7887 
7832 

9.9857777 
7723 
7668 
7613 
7558 
75o3 

9.9857449 
7394 
7339 
7284 
7229 

7174 
9.98571 19 

7064 
7009 
6955 
6900 
6845 

9.9856790 
6735 
6680 
6625 
6570 
65i5 

9.9856460 
64o5 


6349 
6294 
6239 
6184 
9.98561 29  20' 


30' 

5o 
40 
3o 
20 
10 

^' 
5o 
40 
3o 
20 
10 

2rt' 
5o 
4o 
3o 
20 
10 
27 
5c> 
40 
3o 
20 
10 

26 
5o 
4o 
3o 
20 
10 

25' 
5o 
4o 
3o 
20 
10 

24' 
5o 
4o 
3o 
20 
10 

23' 
5o 
4o 
3o 
20 
10 

^' 
5o 
4o 
3o 
20 
10 

21' 
5o 
4o 
3o 
20 
10 


sin. 


104^ 


750 


il  ^ 


Hi 


^If! 


346 


140 


LOGARITHMIC     SINKS,     TANGENTS,     &C 


■la 


40 
10 

3o 
4o 
5o 
41' 
10 

20 

4o 
5o 
42 
10 

2D 

So 
4o 
5o 
43 


3o 
4o 
5o 
44' 
10 
20 


4o 

5o 

45 

10 

20 

3o 

4o 

5o 

4G 

10 

ao 

3o 

4o 

5o 

47 

10 

70 

3o 

4o 

5o 

48' 

10 

20 

3o 

4o 

5o 

49' 

10 


9.403 
4o3 
4o3 
4o3 
4o3 
4o3 

9  4o3 
4o4 
4o4 
4o4 
4o4 
4o4 

9.404 
4o4 
4o4 
4o4 
4o4 
4o4 

9.404 
10    4o4 
ao|  4o5 
4o5 
4o5 
4o5 

9.405 
4o5 
4o5 
3c\  4o5 
4o5 
4o5 

9.405 
4o5 
4o6 
406 
4o6 
4o6 

9.406 
406 
406 
4o6 
4o6 
406 

9.406 
406 
4o6 
407 
407 
407 

9.407 
407 
407 
407 
407 
407 

9.407 
407 
407 
4o8 
4o8 
4o8 

9.408 


5o 


4554 
5350 
616J 
6967 
7771 
8575 
9378 
0182 
0985 
1788 
2591 
3394 
4196 

i^, 

66o3 
74o6 
8207 
9009 
9811 
0612 
i4i3 

23l4 

3oi5 
38i6 

4617 
5417 
6217 

7017 
7817 
8617 

94f7 
0216 
1016 
i8i5 
2614 
34i3 
4211 
5oio 
58o8 
6607 
74o5 
8203 
9000 
9798 
0596 
1393 
aioo 
2987 

3784 
458o 
5377 
6173 
6970 
7766 
8%\ 

9357 
01 53 
0948 
1743 
2539 


diCl" 


•o-Rin. 


80.5 

80.4 

80.4 

80.4 

80.4 

80.3 

80.4 

80.3 

80.3 

80.3 

80.3 

80.2 

80.3 

8o.a 

80.2 

80.3 

80.1 

80.2 

80.2 

80.1 

80.1 

80.1 

80.1 

80.1 

80.1 

80.0 

80.0 

80.0 

80.0 

80.0 

80.0 

79.9 
00.0 

79.9 

79.9 

79-9 
79.8 

79.9 

79.8 

79.9 
79.8 

79-8 

79-7 
79-8 
79.8 
79.7 
79-7 
79-7 
79-7 
79-6 

79-7 
79-6 
79.7 
79.6 

79-5 
79.6 
79.6 
79.5 

79-5 
79.6 


of^tee* 


165® 


twif. 


diCI 


dif.  I" 


10.596  5446 

5964641 
596  3837 
5963033 
596  2229 
596  1425 
10.5960622 
5959818 
5959015 
5958212 
595  7409 
5956606 
10.5955804 
595  5ooi 
5954199 
595  3397 
595  2594 
595  1793 
'0.595  0991 
5950189 
594  9388 
594  8587 
594  7786 
594  6985 
10.5946184 
594  5383 
594  4583 
594  3783 
594  2983 
5942183 
10.594  1 383 
594  ()583 
593  9784 
593  8984 
5938185 
593  7386 
10.5936587 
593  5789 
5934990 
5934192 
593  3393 
593  2595 
10.593  1797 
593  1000 
593  020a 
59a  94o4 
592  8607 
59a  7810 
10.592  70 1 3 
5926216 
592  5420 
592  4623 
59a  3827 
592  3o3o 
10.592  2234 
59a  i43o 
59a  0643 
591  9847 
591  oo5a 
591  8257 
10.591  7461 


■ec. 


9.4 « 7  84a  5 

4179284 

41.80144 

418  ioo3 

4181862 

4182721 
9.418  358o 

418  4438 

418  5297 
4i86i55 
4187013 
4187871 

9.4188729 
4189587I 
41904451 

419  i3o2 
4I92I59 
4193017 

9.4193874 
4194730 
4195587 

4196444 
4i9  73«x) 
4198156 
9.4199013 
4199869 

420  0724 
420  i58<) 
420  2436 
4203291 

9.4204146 
420  5ooi 
420  5856 
4206711 
4207566 

420  84'o 

9.420  9275 

421  0129 
4a  I  0983 
4a  I  1837 
421  2691 
421  3544 

9.421  4398 
4ai  5a5i 
4a  I  61  o4 

421  6957 
4ai  7810  °^-:5 
4a  I  8663  ^^'^ 

9.421  95 1 5 
42  a  o368 
4aa  1220 
4a  a  2072 

422  2924 
4aa  3776 

9.42a  4628 

422  5480 

42  a  633 1 

4aa  718a 

4a  a  8o34 

42a  8885 
9.42  a  9735 


85-9 

86.0 

85.9 

85.9 

85.9 

85.9 

85.8 

85.9 

85.8 

85.8 

85.8 

85.8 

85.8 

85.8 

85-7 

85-7 

85.8 

85.7 

85.6 

85.7 

85.7 

85-6 

856 

85-7 

856 

855 

85.6 

85.6 

85.5 

85.5 

85.5 

85.5 


eo-tuif. 


85.5 
85.5 
85.4 
855 
85-4 
85.4 
85.4 
85.4 
85.3 

85  4 
85.3 
85-3 
85.3 
85.3 


85.2 
85-3 
85.2 
85.a 
85.2 
85.2 
85.2 
85.2 
85.1 
85.1 
85.a 
85.1 
85.0 


ro.58a  i575 
58a  0716 
58 1  9856 
58 1  8997 
58i  8i38 
58 1  7279 

10. 58 1  6420 
58 1  5562 
58 1  47o3 
58 1  3845 
58 1  2987 
58i  2129 

io.58r  1271 
58f  o4i3 
5809555 
5808698 
5807841 
5806983 

10.5806126 
58o  5270 
58o44i3 
58o3556 
58o  2700 
58o  r844 


ScC* 


10.0143871 
3926 
3981 
4o36 
4091 

4i47 
10.0144202 

4257 
43i2 

4367 
4422 

4478 
10.0144533 
4588 
4643 

4IS 

4809 
10.0144865 
4920 
4975 
5c)3o 
5o86 
5i4r 


d.l" 


10.580  0987J 1 0.0145 1  ( 


co-tan$. 


did" 


58ooi3i 
579  9276 
579  8420 
579  7564 
5796709 
10.579  5854 

5794999 
5794144 
579  3289 
579  2434 
579  1 58o 

10.5790725 
578987 
578  9017 
5788163 
578  7309 
5786456 

10.578  56o2 
578  4749 
578  3896 
578  3o43 
5782100 
578  i337 

10.5780485 
577  9632 
577  8780 
577  7928 
577  7076 
577  C224 

10.577  5372 
577  4520 
5773669 
577  2818 
577  1966 
577  iii5 

10.5770265 


52 

53o7 
5363 
5418 

5474 
10.0145529 

5584 
564o 
5695 
575  r 
58o6 
10.0145862 

5917 
5973 
6028 
6084 
6i3 
1 0.0146 1 9 
6a5i 
63o6 
636a 

6417 
6473 

10.0146529 
6584 
664o 
6695 
6751 
6807 

10.0146862 
6918 

6974 
7o3o 
7085 

7141 
10.0147197 


tang.   j 


co-flec. 


5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 

5 
5 
5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5 

5. 

5. 

5. 


.5 

5 

.5 

.5 

.6 

.5 

.5 

.5 

.5 

.5 

,6 

.5 

5 

.5 

.6 

5 

.5 

.6 

.5 

.5 

.5 

.6 

.5 

6 

.5 

.5 

,6 

.5 

.6 

.5 

5 

6 

.5 

6 

.5 

6 

.5 

6 

.5 


co-Bin. 


9.9856129 
6074 
6019 
5964 
5909 
5853 

9.9855798 
5743 
5688 
5633 
5578 

5522 

9.9855467 
5412 
5357 

53oi 
5246 
5191 

9.9855135 
5o8o 
5o25 
4970 
4914 
4859 

9.9854803 
4748 
4693 

4637 
4582 
4526 

9.9854471 
44i6 


d.r 


436o 
43o5 

4249 
4194 

9.9854138 
4o83 
4027 
3972 
3916 
386 1 

9.9853805 
3749 
3694 
3638 
3583 
3527 

9.985347 T 

34i6 
336o 
33o5 
324 


3i 

9.9853138 
3o82 
3026 
2970 
3915 
2859 

9.9852803 


•10. 


20' 
5o 
40 
3o 
ao 
10 
19 
5o 
4o 
3() 
20 
10 
18' 
5o 
4o 
3o 
20 
10 
17' 
5o 
40 
3o 
20 
10 
16' 
5o 
4o 
3o 
20 
10 
15' 
5o 
4o 
3o 
20 
10 
14' 
5o 
40 
3o 
20 
10 
13' 
5o 
4o 
3d 
20 
10 
12' 
5o 
4o 
3o 
20 
10 
11' 
5o 
4o 
3o 
20 
10 
10 


1040 


750 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


247 


140 


165° 


150 

10 
20 
3o 
40 
5o 
^1 
10 
20 
3o 
40 
5o 
52' 
10 
20 
3o 
4o 
5o 
53 
10 
20 
3o 
4o 
5o 
54 
10 
20 
3o 
4o 
5o 
55' 
10 
20 
3o 
4o 
5o 
56 
10 
20 
3o 
4o 
5o 
57' 
10 
20 
3o 
4o 
5o 
58 
10 
20 
3o 
4o 
5o 
59' 
10 
20 
3o 
4o 
5o 
6)' 


Bin. 


).4o8  2539 

408  3334 
4084128 

4o8  4923 
408  5717 
4o8  65i2 
>.4o8  73o6 
4088100 

408  8894 
4089688 
4090481 

409  1275 
(.409  2068 

409  2861 
409  3654 
409  4447 
409  5239 
4096032 
1.409  6824 
4097616 
409  84o8 
409  9200 
409  9992 


4 

>-4 
4 
4 
4 
4 
4 

}-4 
4 
4 
4 
4 
4 

>.4 
4 
4 
4 
4 
4 

>-4 
4 
4 
4 
4 
4 

1-4 
4 
4 
4 
4 
4 

••4 
4 
4 
4 
4 
4 

1-4 


100783 
10  1575 
10  2366 
io3i57 
to  3948 
104739 
ro  5529 
10  6320 

10  7110 
107900 
108690 

I  o  9480 

1 1  0270 
r  I  1059 

I I  1849 
f  I  2638 

1 1  3427 
114216 
II  5oo5 
1 1  5793 
116582 
1 1  7370 
fi8i58 
1 1  8946 

1 1  9734 

12  o522 
12  1 309 
I  2  2097 
122884 
12  3671 

12  4458 
12  5245 
i2  6o3i 
12  6818 
127604 
12  8390 
129176 
129962 


diCl" 


79.5 

79*4 
79.5 

79-4 
79.5 

79-4 
79-4 
79-4 
79-4 
79.3 

79-4 
79.3 

79.3 
79.3 
79.3 
79.2 
79.3 
79.2 
79.2 
79.2 
79.2 
79.2 
79.1 
79.2 
79.1 
79.1 
79.1 
79.1 
79.0 
79.1 
790 
79-0 
79.0 
79.0 
79.0 

78-9 
79.0 

789 

789 

78-9 

789 
78-8 

78.9 

78.8 

78.8 

78.8 

78.8 

78.8 

78.7 
78.8 

78.7 
78.7 
78.7 
78.7 
78.6 
78.7 
78.6 
78.6 
78.6 
78.6 


co-ain.       dif.  I 


co-sec. 


10.591  7461 
591  6666 
591  5872 
591  5077 
591  4283 
591  3488 

10.591  2694 
591  1900 
591  iro6 
591  o3i2 
5909519 
590  8725 

10.5907932 
5907139 
590  6346 
590  5553 
5904761 
5903968 

10.5903176 
590  2384 
590  1592 
5900800 
590  0008 
5890217 

10.5890425 
589  7634 
589  6843 
5896052 
589  5261 

589  447  f 

10.589.3680 
589  2890 
589  2100 
589  1 3 10 
5890520 
588  9730 

10.5888941 
588  8i5i 
588  7362 
588  6573 
588  5784 
588  4995 

10.588  4207 
588  3418 
588  263o 
588  1842 
588  io54 
588  0266 

10.587  0478 
5878691 
587  7903 
587  71 16 
587  6329 
587  5542 

10.5874755 
587  3969 
5873182 
587  2396 
587  1610 
587  0824 

10.587  oo38 


sec. 


tfUlg, 


9.422  9735 
423  o586 
423  1437 
423  2287 
423  3 1 37 
423  3988 

9.423  4838 
423  5687 
423  6537 
423  7387 
423  8236 

423  9085 

9.423  9935 

424  0784 
424  i632 
424  2481 
424  333o 
4244178 

9.424  5026 
424  5874 
4246722 

424  7570 
4248418 

424  9266 

9.425  01 1 3 

425  0960 
425  1807 
425  2654 
425  35oi 
425  4348 

9.425  5194 
425  6o4i 
425  6887 
425  7733 
425  8579 

425  9425 
9.4260271 

426  II 16 
426  1962 
426  2807 
426  3652 
426  4497 

9.426  534 

4266187 

4267031 

426  7875 

4268720 

426  9564 

9.427  o4o8 

427  1252 

427  2095 
427  2939 

427  3782 

427  4626 

9.427  5469 
4276312 
4277155 
427  7997 

427  884o 
42-'  9682 

9.428  o525 


dif.l' 


co-tang. 


85.1 
85.1 
85.0 
85.0 
85.1 
85.0 

84.9 
85.0 

85.0 
84-9 

84.9 
85.0 

84.9 
84.8 

84.9 

84.9 
84-8 

84.8 
84.8 
848 
84-8 
84.8 
84.8 
84.7 
84.7 
84-7 
84.7 
84-7 
84.7 
84.6 

84.7 
84.6 
84.6 
84.6 
84.6 
84.6 
84.5 
84.6 
84.5 
84.5 
84.5 
84.5 
84.5 
84.4 
84.4 
84.5 

84.4 
84.4 
84.4 
84.3 

84-4 
843 

84.4 
84.3 
84.3 
84.3 
84.2 
84.3 
84.2 
84.3 


co-tang. 


diCi" 


10.5770265 
5769414 
576  8563 
5767713 
576  6863 
5766012 

10.5765162 
5764313 
576  3463 
576  26 1 3 
576  1764 
5760915 

10.5760065 
5759216 
575  8368 
575  75i 
575  6676 

575  5822 

10.575  4974 
575  4126 

5753278 

575  2430 
575  1 582 
575  0734 

10.574  9887 
574  9040 
5748193 
5747346 
574  6499 
574  5652 

10.574  4806 
574  3959 
574  3ii3 
574  2267 
574  1421 
574  0575 

10.573  9729 
573  8884 
573  8o38 
573  7 1 93 
573  6348 
573  55o3 

10.573  4658 
573  38 1 3 
573  2969 

573  2125 
573  1280 

573  o436 

10.572  9592 

572  8748 

572  7905 

572  7061 

572  6218 

572  5374 

10.572  453i 

572  3688 

672  a845 

572  2oo3 

572  1 160 

572  o3i8 

10.571  9475 


sec. 


10 


10 


ID 


10 


10 


10 


10 


10 


10 
10 


10 


10 


01 47 1 97 
7253 
73o8 

7364 
7420 

7476 
0147532 

7587 
7643 
7699 
7755 
781 1 
0147867 
7923 

797 
8o3 
8090 
8i46 

.0148202 
8258 
83i4 
8370 
8426 
8482 

.0148538 
8594 
8650 
8706 
8762 
8819 

.0148875 
8931 
8987 
9043 

.0149211 
9268 
9324 
9380 
9436 
9492 

.0149548 
9605 
9661 
9717 
9773 
9830 

,0149886 

9942 
0149999 
.01 5oo55 

OlII 

0168 
,01 50224 
0280 
o337 
0393 

0449 

o5o6 

.oi5o562 


d.l" 


5.6 
5.5 
5.6 
5.6 
5.6 
5.6 
5.5 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.5 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 

5.7 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.6 
5.7 
5.6 
5.6 
5.6 
5.6 
5.6 

5.7 
5.6 
5.6 
5.6 
5.7 
5.6 
5.6 
5.7 
5.6 
5.6 
5.7 
5.6 
5.6 

5.7 
5.6 
5.6 

5.7 
5.6 


tang. 


co-sec 


co-Bin. 


9.9852803 

2747 
2692 

2636 
258o 
2524 
9.9852468 
24i3 
2357 
23oi 
3245 

2189 

9.9852133 

2077 
2021 

1965 

1910 

1 854 
9.9851798 

1742 
1686 
i63o 

1 574 
i5i8 

9.9851462 
i4o6 
i35o 
1294 
1238 
1181 

9.9851125 
1069 
ioi3 
0957 
0901 
0845 

9.9850789 
073? 
0676 
0620 

o564 
o5o8 

9.9850452 
0395 
0339 
0283 
0227 
0170 

9.9850114 
oo58 

9.9850001 

9.9849945 
9889 
9832 

9.9849776 
9720 
9663 
9607 
9551 

9494 
9.9849438 


10' 

5o 

4o 

3o 

20 

10 

9' 

5o 

4o 

3o 

20 

10 

8' 

5o 

4o 

3o 

20 

10 

7' 

5o 

4o 

3o 

20 

10 

6' 

5o 

4o 

3o 

20 

10 

5' 

5o 

4o 

3o 

20 

10 

4' 

5o 

4o 

3o 

20 

10 

3' 

5o 

4o 

3o 

20 

10 

2' 

5o 

40 

3o 

20 

10 

I' 

5o 

4o 

3o 

20 

10 

0' 


d.l 


Bin. 


1040 


730 


I 


ill 


«48 


LOGARITHMIC     SINES,   TANGENTS,     &C. 


150 


164° 


Silla 


o 
I 

a 
3 

4 
5 
6 

7 
8 

9 

to 

II 
[^ 
i3 

i4 
i5 

16 

17 
18 

*9 
ao 

21 

ai 

aS 
26 
37 
a8 
39 
3o 
3i 
3a 
33 
34 
35 


36|94a9 
43o 
43o 


37 
38 


39 

4o 
4i 

42 
43 

44 

45 
46 

4? 
48 

49 

5o 
5i 

5ai 
53 
54 
55 
56 

57 
58 
59 
60 


9.41a 
4i3 
4i3 
4i4 
4i4 
4i5 

9-4 1 5 
4i6 
416 

417 
417 
4i8 

9-4 18 
419 
419 
430 
4ao 
4ao 

9.421 
431 
433 
423 
423 
42I 

9.424 
4a4 
425 
4a5 
425 
436 

9.426 
427 
427 
428 
428 
429 


43o 
43 1 
43i 

9-432 
432 
433 
433 
434 
434 

9-435 
435 
435 
436 
436 
437 

9437 
438 
438 
439 
439 
439 

9.440 


9962 

4674 
938  r 
4o8a 
8778 
3468 
8i52 

2832 

75o6 
2174 
6837 
1495 
6i48 
0795 
5436 
0073 

4704 
o33o 
3950 
8566 
3176 
7780 
238o 

6974 
r563 

6i47 
0726 
5299 
9867 
443o 
8988 

354 

8089 

263 1 

7169 

1701 

6228 

0750 

5267 

9779 
4286 

8788 
3285 
7777 
2264 
6746 
I3a3 
5694 
0161 
4623 
9080 
3533 
7980 
2422 
6859 
1292 

5719 
0143 
456o 
8973 
338i 


did" 


78.53 
78.45 
78.35 
78.27 

78.17 

78.07 

78.00 

77.00 

77.80 

77.72 

77-63 

77.55 

77-45 

77.35 

77.28 

77.18 

77- 10 

77.00 

76.93 

76.83 

76.73 

76.67 

76.57 

76.48 

76.40 

76.32 

76.2  a 

76.13 

76.05 

75.97 

75.88 

75.80 

75.70 

75.63 

75.53 

75.45 

75-37 

75-28 

75.20 

75.12 

75  03 

74-95 

74-87 

74-78 

74-70 

74.62 

74-52 

74.45 

74-37 

74.28 

74- 20 

74- « 3 

74-03 

73.95 

73.88 

73.78 

73.72 

73.63 

73.55 

73.47 


ooHi'eCa 


tang. 


eo-sin. 


ditl" 


10.587  oo38 
586  5326 
5860619 
585  5918 

585  1222 

584653a 

I0.584  i848 
583  7168 
583  2494 
582  7826 
58a  3i63 
58 1  85o5 

io.58i  3852 
58o  9205 
58o  4564 

5799927 
579  5296 

570  0670 
10.578  6o5o 

578  1434 
577  6824 
577  2220 
576  7620 
5763026 

10.575  8437 
575  3853 
574  9274 
574  4701 
5740133 
573  5570 

10.573  1012 
572  6459 
572  191 1 

571  7J69 
571  283i 
570  8299 

10.570  3772 
5699250 
5694733 
5690231 
568  5714 
568  1 213 

10.5676715 

567  2223 

566  7736 
566  3254 
565  8777 
565  43o6 

10.5649839 
564  5377 
564  0930 
563  6468 
563  3030 
562  7578 

10.562  3i4i 
56i  8708 
56i  4281 
560  0858 
56o  ^44o 
56o  1027 

10.5596619 


9.428 
428 
429 
429 
43o 
43o 

9.43  r 
43 1 
432 
432 
433 
433 

9.434 
434 
435 
435 
436 
436 

9-437 
437 
438 
438 
439 
439 
9.440 
440 
44i 
44i 
442 
442 

9-442 
443 
443 
444 
444 
44'y 

9445 
446 
446 
447 
447 
448 

9-448 
449 
449 
45o 
45o 
45r 

9-45 1 
452 
452 
453 
453 
454 

9-454 
455 
455 
456 
456 
457 

9-457 


o525 


dif.l" 


5575 
0621 
566i 
0697 

5727 
0753 
5773 
0789 

5799 

0804 

58o5 

0800 

5791 

0776 

5757 

0733 

5704 

0670 

563 1 

o587 

5538 

o485 

5426 

o363 

5295 

0222 

5i45 

0062 

4o75 

9883 

4786 

9685 

4579 

9468 

435a 

9332 

4107 

8978 

3843 

8704 

356 1 

84i3 

3260 

8102 

2940 

7774 
2602 

7427 
2246 
7061 
1872 
6678 

1479 
6376 

1069 
5857 
064 1 
5430 
0194 
4964 


84.17 
84.10 
84.00 
83.93 
83.83 

83.77 
83.67 
83.6o 
83.5o 
83.43 
83.35 
83.25 
83.18 
83.08 
83.02 
82.93 
82.85 
82.77 
82.68 
82.60 
82.52 
82.45 
82.35 
82.38 
82.20 

83.13 
82.05 
81.95 
81.88 
81.80 
81.72 

81.65 

81.57 

81.48 

81.40 

81.33 

81.25 

81.18 

81.08 

81.02 

80.95 

80.87 

80.78 

80.70 

80.63 

80.57 

80.47 

80.42 

80.32 

80.25 

80.18 

80.10 

80.02 

7995 
79.88 

79.80 
79-73 
79-65 

79-57 
79.50 


CO- tang. 


■ec 


10.571  9475 
571  4425 
570  9379 
570  4339 
569  93o3 
569  4273 

10. 568  9247 
5()8  4227 
567  92 1 1 
567  4201 
5669196 
5664195 

I0.565  9300 
5654209 
5649224 
564  4243 
563  9267 
563  4396 

10.563  9330 
562  4369 


wtc 


co-tang.  dif.  I" 


56 1  4463 

5609515 

5604574 

10.559  9637 

559  47o5 
558  9778 
558  4855 
557  9938 
557  ^025 

10.557  0117 
556  5214 
556o3i5 
555  542 1 
555  o532 
554  5648 

10.554  0768 
553  5893 
553  1022 
5526157 
552  1296 
55 1  6439 

10.55I  i587 
55o  6740 
55o  1898 
5497060 
549  22-26 
548  7398 

10.548  2573 
547  7754 
547  2939 
5468128 
546  3322 
545  8521 

10.545  3734 
5448931 
5444143 
543  9359 
543  458o 
5429806 

10.542  5o36 


10.01 5  o562 
01 5  0901 
01 5  1240 
01 5 i58o 
oi5  1919 
oi5  2260 

10.01 5  2600 
oi5  29411C 
oi5  3283^ 
01 5  3625 
01 5  3< 
0154^10 

1 0.01 5  4653 


d.l" 


0154996 
01 5  5340 
01 5  5684 
0156029 

01 5  6374 
10.015671 
015706 


56i  94i3   oi5  74ii 


542  5o36 
Umg.       I 


01 5  7758 
oi5  8io5 

01 5  8452 
fo.oi588oo 

0159148 

0159497 
0159846 

016  0195 
0160545 

10.016  0895 
016  1245 
016 1596 
016 1948 
0162209 

016  3652 

10.016  3oo4 
0163357 
016  3710 

or6  4o64 
016  4418 
0164773 

10.016  5ia8 
016  5483 
016  5839 
0166195 
oi6655i 
0166908 

10.0167265 
016  7623 
016 7981 
0168339 
0168698 

016  9o58 
10.0169417 

0169777 
oi7oi38 
0170499 
0170860 

017  1222 

10.017  1 584 


5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 
5 

5 

5 

5, 

5. 

5. 

5 

5. 

5 

5 

5. 

5 

5. 

5. 

5. 

5. 

5. 

5. 

5. 

5 

5. 

5. 

6 

5 

6 

6. 

6 

6 

6 

6. 


CO-MC. 


.65 
.65 
•67 
65 

.68 
.67 
.68 
.70 
.70 
.70 
72 
.72 
.72 
73 
.73 

.75 
.75 
-75 
.77 
'-77 
.78 
.78 
.78 
.80 
.80 
.82 
.82 
.82 
.83 
.83 
.83 
.85 

-87 
.85 
.88 
.87 
88 
88 
.90 
,90 
92 
92 
92 

93 
93 

93 
95 

95 
97 
97 
97 
98 


co-sin. 


00 
.98 
00 
02 
.02 
,02 

o3 
o3 


9984 
984 
984 
984 
984 
984 

9.984 
984 
984 
984 
984 
984 

9.984 
984 
984 
984 
984 
984 

9.984 
984 
984 
984 
984 
984 

9-984 
984 
984 
984 
983 
983 

9.983 
b83 
983 
983 
983 
983 

9.983 
983 
983 
983 
083 
983 

983 
983 
983 
983 
983 

9.983 
983 
983 
983 
983 
983 

9.983 
983 
982 
982 
982 
982 

9.982 


9438 
9^)99 
8760 
8420 
8081 
7740 
74f)o 
7059 
6717 
6375  5 


60 

5b 

57 
56 

55 
54 
53 

53 


d,l" 


6o33 
5690 

5347 

5<)o4 

4660 

43 1 6 

3971 

3626 

3281 

2o35 

2589 

2242 

1895 

i548 

1200 

o852 

o5o3 

01 54 

9805 

9455 

9105 

8755 

84o4 

8o53 

7701 

7348 

6996 

6643 

6290 

5936 

5582 

5227 

4872 

45i7 
4i6t 
38()5 

3449 
3o9^ 

2735 
2377 
2019 
1661 
i3o2 
0942 
o583 

0393 
9862 
9501 

of4o 
8778 
84i6 


•m. 


5o 

49 

A^ 

4l 
46 
45 
44 
43 
42 
4i 
4o 

38 

37 
36 
35 
34 
33 
3? 
3i 
3i. 
29 
28 

27 
26 

25 

»4 

23 

22 
21 
20 

18 

17 
16 
i5 
i4 
i3 
12 
1 1 
10 


1050 


740 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


249 


I60 


I630 


4 
5 
6 

7 
8 

9 
10 

u 

12 

i3 

14 
i5 
16 
17 
18 

19 
20 

21 

22 

23 

24 

25 

26 

37 

28 
29 

3o 
3i 

32 

33 

M 
35 

36 

37 
3S 

39 
4o 

4i 
42 
43 
44 
45 
46 

47 
48 

i9 
5o 
5r 

52 

53 
54 
55 
56 

57 
58 

60 


Bin. 


9.440 
44o 
44i 
44i 
442 
442 

9-442 
443 
443 
444 
444 
445 

9-445 
446 
446 
446 
447 
447 

9-448 
448 
449 
449 
449 
45o 

9.450 
45  [ 
45i 
452 
452 
452 

9-453 
453 
454 
454 
455 
455 

9-455 
456 
456 
457 
457 
458 

9-458 
458 
459 
459 
46o 
460 

9460 
461 
46i 
462 
462 
463 

9-463 
463 
464 
464 
465 
465 

9465 


338 1 

7784 
2182 
6576 
oo65 
5349 
9728 
4io3 
8472 
2837 
7197 
i553 
5904 
o25o 

4591 

8927 
3259 
7586 
1909 
6237 
o54o 

4849 
9t53 


dif.  I' 


345: 


7747 
2037 

6322 

o6o3 

4879 
9i5i 
34 18 
7681 
1939 
6192 

044 1 

4686 

8936 

3i6r 

7393 

1618 

584o 

oo58 

4271 

848o 

2684 

6884 

1079 

5270 

9456 

3638 

7816 

1989 

6r58 

o323 

4483 

8639 

2790 

6938 

1081 

5319 

9353 


73.38 
73.3o 
73.23 
73.15 
73.07 
72.98 
72.92 
72.82 
72.75 
72.67 
72,60 
72.52 
72.43 
72.35 
72.27 
72.20 
72.12 
72.05 

71-97 

71.88 

71.82 

71.73 

71.65 

71.58 

71.50 

71.42 

71.35 

71.27 

71.20 

71.12 

7i.o5 

70.97 

70.88 

70.82 

70.75 

70.67 

70.58 

70.52 

70.43 

70.37 

70. 3o 

70.22 

70. 1 5 

70.07 

70.00 

69.Q2 

69.85 

69.77 

69.70 

69.63 

69.55 

69.48 

69.42 

69.33 

69.27 

69.18 

69.13 

69.05 

68.97 

68.90 


co-sec. 


co-Bin. 


dif.l" 


10.5596619 
559  2216 
5587818 
558  3424 
557  9035 
557  4651 

10.557  0272 
556  5897 
556  1528 
555  7i63 
555  2803 

554  8447 
10.554  4o' 
553  O75o 
553  5409 
553  1073 
5526741 
552  2414 
10.551  8091 
55 1  3773 
55o  9460 
55o  5i5i 
55o  0847 
5496548 

10.549  2253 

548  7963 
548  3678 

547  9397 
5475121 

547  0849 

10.5466582 
546  23 19 
545  8061 
545  38o8 
544  9559 
544  53i4 

10.544  1074 
543  6830 
543  2608 
542  8382 
5424160 
541  9942 

10.541  5729 
54i  i52o 
540  73  r  6 
54o  3 1 16 
5398921 
5394730 

10.539  o544 
538  6362 
5382184 
537  80 1 1 
537  3842 
536  9677 

I0.536  55I7 
536  i36i 
535  7210 
535  3062 
5348919 
5344781 

10.534  0647 


tang. 


■ec. 


9.457  4964 

457  973o 

458  4491 

458  9248 
4594001 

459  8749 
9.460  3492 

460  8232 

461  2967 

46 1  7697 

462  2423 

462  7145 
9-463  1 863 

463  6576 

464  1285 

464  5990 

465  0690 

465  5386 
9.466  0078 

466  4765 

466  9448 
4674127 

467  8802 

468  3473 
?.468  8i39 

469  2801 

469  7459 

470  21 12 
470  6762 
471 1407 

).47i  6o48 
472  o685 
4725318 

472  9947 

473  4572 
473  9192 

).474  38o8 
4748421 
475  3029 

475  7633 

476  2233 

476  6829 
).477  1421 

4776009 
478  ©592 
4785172 
478  9748 
4794319 
1.479  8887 
48o345£ 
4808011 

48 1  2566 
4817118 

482  1666 
.4826210 

483  0750 

483  5286 
4839818 

484  4346 
484  8870 
•485  3390 


dif.  I" 


79.43 

79.35 

79.28 

79.22 

7913 

79-05 

79.00 

78.92 

78.83 

78.77 

78.70 

78.63 

78.55 

78.48 

78.42 

78.33 

78.27 

78.20 

78.12 

78.05 

77-98 

77 

77 

77-77 

77.70 

77-63 

77-55 

77.50 

77-42 

77.35 

77-28 

77.22 

77-15 
7708 
77-00 
7693 
76-88 
76.80 
76-73 
76.67 
76  60 
76.53 

76-47 
76.38 
76.33 
76.27 
76.18 
76.13 
76.07 
76.00 
75.92 
75.87 
75.80 
75.73 

75-67 
75.60 
75.53 

75-47 
75.40 
75.33 


CO- tang. 


10 


10 


10 


10 


10 


10 


co-tang. 


10 


IO60 


diti" 


32 


10 


10 


10 


10 


.542  5o36 
542  0270 
541  5509 
54i  0752 
5405999 

540  1331 

,5396508 
539  1768 
538  7033 
538  23o3 
537  7577 
537  2855 
.5368137 
536  3424 
535  8715 
5354010 
5349310 

5344614 
.533  9922 
533  5235 
533o552 
532  5873 
532  1198 
53i  6527 
.53i  1861 
5307199 

53o254i 
529  7888 
529  3238 
528  8593 
528  3o52 
5279315 
527  4682 
527  oo53 
526  5428 
526  0808 
.5256192 
525  i579 
5246971 
524  2367 
523  7767 
523  3171 
5228579 

522  3991 

521  9408 
521  4828 
521  0252 
52o568i 
.520  iii3 
5196549 
519 1989 
5187434 
5r8  2882 

5178334 
.5173790 
5169250 

5i647i4 
5160182 

5i5  5654 
5i5  n3o 
.5i466io 


sec 


d.  1" 


10.017  i584'g 
017  1 946 g 
017  2^09 g 
017  2672 g 
017  3o36^ 

o  /   it). 

017  34oO|g 
10.017  3764  g 

OI7  4l29;g 

OI74494U' 

oi7  486ojg 

017  5226jg 


tang. 


017  5592 

10.017  5959 
0176326 
0176694 
017  7062 
Ot7  743i 

0177799 
10.0178169 

017  8538 

0178908 

0179279 

017  9649 
0180021 

10.018  0392 

018  0764 
018  ii37 
018  i5io 
018  i883 

018  3256 

10.018  363o 
oi8  3oo5 
018  338o 
018  3755 
oi84i3o 
018  45o6 

10.018  4883 
018  5260 
018  5637 

0186014 

0186392 

0186771 

10.0187150 

018  7529 
0187909 
0188289 
0188669 
0189050 

10.0189431 

0189813 

0190195 

0190577 

,0190960 

019  1 343 

10.019  1727 
0192111 
019  2495 
019  2880 
0193265 
019  365 1 

10.0194037 


.o3 

.o5 
.o5 

.07 

-07 
.07 

.08 

.08 

o 

o 

o 

2 
2 


co-8in. 


6 

6 

6 

6 

6, 

6 

6, 

6, 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6. 

6 

6 

6. 

6 

6 

6 

6 

6 

6 

6 

6, 

6, 


co-«ec. 


7 
.20 

.18 
.20 

23 

23 

22 

22 

23 

25 

.25 

-25 

.25 

.27 

.28 

,28 

,28 

.28 

,3o 

.32 
.32 
32 

33 
33 
33 
35 
35 
37 
37 
37 
38 
.38 
.40 
.40 
,4o 
.42 
.42 
43 
43 


d.1' 


9.982 
982 
982 
982 
982 
982 
9.982 
982 
982 
982 
982 
982 
9.982 
982 
982 
982 
982 
982 
9.982 
982 
982 
982 
982 
981 
9.981 
981 
981 
981 
981 
981 
9.981 
981 
981 
981 
981 
981 
9.981 
981 
981 
981 
981 
981 
9.981 
981 
981 
981 
981 
981 
9.981 
981 
980 
980 
980 
980 
9.980 
980 
980 
980 
980 
980 
9.980 


84i6 

8o54 

7691 

7328 

6964 

6600 

6236 

5871 

55o6 

5i4o 

4774 

4408 

4o4i 

3674 
33o6 
2938 
2569 
2201 
i83i 
1462 
1093 
0721 
o35i 
9979 
9608 
9236 
8863 
8490 
8117 

7744 

7370 

6995 

6630 

6345 

587<:' 

5494 

5ll7 

4740 

4363 

3986 

36o8 

3229 

285o 

2471 

2091 

1711 
i33i 
0950 
0569 
0187 
9805 
9423 
9040 

8657 
8273 
7889 
75o5 
7120 
6735 
6349 
5963 


60 

59 
58 

57 
56 
55 

54 
53 

52 

5i 

5o 

4 
4 

47 
46 
45 
44 
43 
42 
41 
40 

39 

38 

37 

36 
35 
34 
33 

32 

3i 

3o 
39 
28 

27 
26 

25 

24 

23 
22 
21 

20 

19 
18 

17 
16 

i5 

i4 
i3 

13 
II 
10 

9 

8 

7 
6 
5 
4 


8in. 


73» 


; 


Iiwi 


I 


250 


LOGARITHMIC     SINES,     TANOEWTS,     <&C. 


110 


1 

2 

3 
4 


•in.       die  1 " 


o  9.465  9353  Lo  g2 

■'     4oo  3483"  £q' 

467  5848|S„ 

467  99^>^-^a 

%468  4o6o|?2f 

8       - 

9 

10 

12 
i3 

14 

i5 
16 


'>7 
18 

19 
Ho 
*ii 
aa 
a3 
24 
a5 
26 
27 

38 


67.< 
67.85 

67.77 

2 


3f 

i34 
35 


469  "73|^-^^ 

47oo46i|52-^^ 

47t»4548S-'? 

9.470  863ig!'"^ 

47'  ^710  d'T: 
47 » 6785. 

472  0856 

472  4921  IL'i 

472  8985|?ZL 

9.473  3o:43  2'?:; 
473  7097ft;' /« 

474  I  i46^?^i^ 

^';i^  67.43 

474  51921^  ^'^ 

47492342-5 

47^371  ^;-,t 

9.475  73o4U;-,_ 

476  i334|2-!7 


10.534  0647 
533  65 1 7 
533  2391 
532  8270 
53a  4 1 52 
532oo4o 

10.53 1  5931 
53i  1827 


1020 


tanf. 


5307727  4889413 


53o363i 
529  9539 
529  5452 

10.520  1369 
528  7290 
528  321 5 
5270144 
527  5078 
527  ior5 

10.5266957 
526  2903 

525  8854 
525  48(^ 
525  0766 


9485  3390 
485  7907 
4862419 
4866928 
487  1433 

487  5933 
9.488  o43o 

488  4924 


ilif.  I  "I     co-tong. 


48938 
489831 
4902858 
9.490  7332 
491  1802 

491  6269 

492  073 1 

492  5190 
4929646 

9.493  4097 

493  8545 

494  2988 
494  742 


75.28 

75.20 
75.15 
75.08 
75.00 
74.95 
74.90 
74.82 

74.75 
74.70 
74.63 
74.57 
74.5o 
74.45 
74.37 
74.32 

74.27 
74. » 8 
74.13 
74.05 
74-02 


me. 


478  5423.^'^^ 
47«  f«a3i^Z 

47974i2L>.'^ 
.16^9.480  5385^21? 

J     '  /o -j^/:  00.35 

39 

4o 
4i 


73.8a 

73.75 


524  6720      495  6298 

10.524  afioo  9.496  07a7 
523  8666  4965152 
523  464'  4969574 
523  0620  497  3991 
5a  a  66o4  497  84o6 


480  9366  ^'^ 
48i  3342|?''-^7 

48i73i5^;J^ 


48a  ia83.;^  « 

482  5248  J?^-^ 
|ial9'48a  9ao8'^£'  c 
^   483  5i65:^^£ 

483  71 171^^27 

484  1066?^°^ 
484  5oio,^^-73 

484895i!rJx* 

9-485  2888:^^-^5 

4856«ao5|]^ 

4860749^5^ 

4864674^1? 
48685951^5.35 

487a5i2l^?-J? 
9.487  6426^^';3 

488o335^|-^ 

489  2o4o^t97 

4895934^-9? 
9.489  9824  *''*-®^' 


44 
45 
46 

4- 
48 

49 
5o 
5i 

32 

53 

54 
55 
56 
57 
58 

;39 
60 


5a2  2591 

10.521  8582 
521  4577 
5a  I  0577 
52o658o 
5ao  2588 
5198599 

io.5i946i5 
5 1 9  o634 
5i8  6658 
5i8  2685 
5178717 
5174752 

10.5170792 
5i66835 
5162883 
5158934 
5154990 
5i5  1049 

io.5i47ii2 
5i4  3i8o 
5i3  9251 
5i3  5326 
5i3  i4o5 
512  7488 

1 0.5 12  3574 
5ii  9665 
5ii  5760 
5ii  i858 
5i0  796{> 
5io4o66 


498  2816 
9.498  7223 

499  i6a6 
4996036 
5ooo42a 
5oo48i4 
5oooao3 

9.501  3588 
5oi  7969 

502  2347 
502673 1 

503  1 00a 

503  5459 
9.5o3  9832 

5a44i82 

504  8538 

505  2891 

505  7240 

506  1 586 
9.506  5928 

507  0267 
5()7  46f»2 
5078933 

508  326i 
5087586 

9.509  1907 
5096224 
5 10  0539 
5 10  4849 
51091 56 
5i  I  3460 


73.70 
73.6a 
73.58 
73.5o 
73.45 
73.38 
73.33 
73.27 
73.20 
73. 1 5 
73.08 
73.02 

72.97 
72.90 
72.85 

72.78 

72.72 

72.67 
72.60 
72.55 
72.48 
72.43 
72.37 
72.32 
72.25 
72.18 
72. i3 
72.08 
72.02 
71.95 
71.02 


io.5i466io 
5i4  2oo3 

5i3  758i 
5i  33072 
5ia8567 
5ia4o67 

10.5 11  9570 
5ii  3076 
5i  I  0587 
5io6io2 
5io  1620 
509714a 

10.500  2668 
5088108 
5o8  373i 
5079269 
5074810 
5o7  o354 

10. 5065903 
5o6  1455 
5o5  7012 
5o5  2571 
5o48i35 
5043702 

io.5o3  9273 
5o3  4848 
5o3  o4a6 
5oa  6009 
5oa  i5o4 
5<li  7184 

lo.Soi  3777 
5oo  8374 
5003974 
499  9578 
4995186 

4990797 
10.4986412 

498  203l 

497  7653 


10.0194037 
0194423 
0194810 
01951 
01955 
019  5073 

10.01 9  6j6 
0196750 
0197140 

019  7529 
0197919 
0198310 

10.0198701 
0199092 
0199484 
0199876 

020  0268 
0200661 

10.020  io54 
020  1 448 
020  1842 

020  2236 

020  263 1 
020  3o27 

10.0203422 
o2o38i8 
020  42 1 5. 
020  46i  2 
oao5oo9 
020  5407 

10.020  58c>5 
020  6204 
0206602 
020  7«oa 
0207401 
020  7802 

10.020  8203 
oao86o3 
030  9cx)4 


d.  1' 


6.43 

6.45 

6.45 

6.47 

6.47 

6.47 

6.48 

6.5o 

6.48 

6.5o 

6.53 

6.52 

6.52 

6.53 

6.53 

6.53 

6.55 

6.55 

6.57 

6.57 

6.57 

6.58 

6.60 

6.58 

6.60 

6.62 

6.62 

6.62 

6.63 

6.63 


co-Bin. 


6o| 

5 


9.980  5q63 
980  5577 
980  5 19*  J 
980  48o3 
9804415 
980  4027 

9.980  3639|54 
98o325o 
9802860 
9802471 
9802081 
980  169c 

9.980  1 290J48 
960  0908  47 
98oo5i6|46 
9800124 
979  9732 
979  9339143 

9.979  8946 
979855^ 
9798158 

9797764 
9797360 
9796973 
9.9796578 
9796182 
979  5785 
979  5388 
9794991 
9794593 


5 

57 
56 
55 


53 

52 

5i 

5o 

49 


6.65 


497327a  oao94o6 
496  8908  oao  9808 
496  4Mi  03 103 1 1 
10.4960178  10.021  061 4 


co-fin,   dif.  1" 


10.5100176I9.511  7760 


aec. 


cu-tang. 


71.9; 
71.8: 
71.78 

71.73 
71.67 


4955818 
495  1462 
4947109 
4942760 

493  84 1 4 

10.4934072 

492  9733 

492  5398 

492  1067 

49  <  6739 

491  a4i4 

10.490  8093 

490  3776 

4899461 

4895151 

489  0844 

488  654o 

10.488  2240 


oai  1017 
021  i4ai 
oai  1825 

021  223o 

021  2635 

10.021  3o4< 

021  3446 

021  3852 

021  4259 

021  4666 

oai  5073 

10.021  5481 

oai  5889 

oai  6398 

021  6707 

021  71 17 

021  7526 

10.021  7937 


9.9794196 


diCl" 


tang. 


co-iec. 


6.63 

6.67 

6.65 

6.68 

6.67 

6.68 

6.68 

6.70 

6.70 

6.72 

6.7a 

6.72 

6.73 

6.73 

6.75 

6.75 

6.75 

6.77 
6.77 
6.78 
6.78 
6.78 
6.80 
6.80 
6.83 
6.8a 
6.83 
6.82 
6.85 


d.  1" 


9793796 
9793398 
9792998 
979  2599 
9792198 
9.979  1798 
979  1397 

979 
9790 

97901 

97897 

9.978  9386 

9788983 

9788579 
9788175 
978  7770 
978  7365 

9.978  6960 
978  6554 
9786148 
978  574  r 
978  5334 
978  4927 

9.9784519 
9784111 
978  3702 
978  3293 
978  2883 
978  2474 

9.978  ao63 


■tn. 


42 
4i 
4o 

^ 

37 
36 
35 

34 
33 

32 

3i 
3o 
2 

27 
26 

25 

24 

23 
22 
21 

20 

',1 

17 
16 

i5 
14 

i31 
12 
1 1 
10 

9 
8 

7 
6 
5 
4 


lOTo 


12° 


LOGARITHMIC  SINES,  TANGENTS,  &C. 


251 


18« 


1010 


3 
4 
5 
6 

7 
8 

9 

10 

II 
12 
i3 
i4 
i5 
16 

17 
18 

'9l 

20 

21 
22 

23 

24 

25 

26 

27 
28 

3? 

3i 

32 

33 

34 
35 
36 

37 

38 

39 

40 

4i 
43 
43 
44 
45 
46 

47 
48 

49 

So 

5i 

53 

53 

54 
55 
56 

57 
58 

59 
60 


Bin. 


ditl" 


9.489  0824  Q^ 

490  3710  g^ 

490  7592  4 

491  1471  fil 
4915345^4 

9.492  3o83  Vl 
4926946.^ 
4930806?^ 
493  4661  ^j 

493  85 1 3  ^j 

494  2361^^ 
9.4946205^4 

495  Of )46  f.^ 

495  3883^ 
4957716^, 
4961545^^ 

496  5370  g, 

9.496019263 

497  3oio^.^ 

4976824^0 

498  o635:g^ 
498  444"^  fi-i 

498  8245 II 
9.499  2o45,g3 

499  584o!^^ 
4990633.3 
5oo342iig3 
5007206^, 
5010987^'' 

9.501  4764 
5oi  8538^ 
5o2  23o8Jg 
5o2  6075L 

502  9838;"^ 

503  35q7'^^ 


62 
62 


62 


q.5o3  73531^ 

C  y     c|02 

5o4iio5L 

504  48531^^ 
5048598^^ 

505  2339 

505  6077 
9.5059811 

506  3542 
5067269 

507  0992 
5074712 

507  8428 
9.508  2l4l 

508  585o 

508  9556 

509  3258 
509  6956 
5roo65i 

9.5104343 
5io8o3i 
5ii  1716 
5ii  5397 
5ii  9074 
5i2  2749 

9.5126419 


co-iin. 


62 
62 
62 
62 
62 
62 
62 
61 
61 
61 
61 
61 
61 
61 
61 
61 
61 
61 
61 
61 
61 


77 
70 

.65 

.57 

.52 

.45 
.38 
33 

.25 

20 
.i3 
.07 
.02 
95 
88 
82 

•75 

70 

.63 

57 

52 

45 
.38 
.33 

.25 

.22 
.[3 
08 
.02 
.95 
.90 
.83 
.78 
.72 
.65 
.60 
.53 

.47 
.42 
.35 
,3o 

.23 

.18 

,12 

.o5 
00 

88 
82 

77 
70 
63 
.58 
53 

47 
42 
35 
28 

25 

17 


co-nec 


dif.  I" 


IO.5100176 
5096290 
509  24<)8 
■5088529 
5o8  4655 
5o8  0784 

10.5076917 
507  3o54 
5069194 
5o6  5339 
5o6  1487 
5o5  7639 

io.5o5  3795 
5o4  9954 
5046117 
5o4  2284 
5o3  8455 
5o3  463o 

io,5o3  0808 
5o2  6990 
5o2  3176 
5oi  9365 
5oi  5558 
5oi  1755 

io.5oo  7955 
5oo4i6o 
5oo  o367 
4996579 
4992794 
498  9013 

10.498  5236 
498  1462 
497  7692 
497  3925 
4970162 
496  64o3 

10.496  2647 
495  8895 

495  5 1 47 
495  i4o2 
494  7661 
494  3923 

10.4940189 
493  6458 
493  273 1 
492  9CK)8 
492  5288 
492  l572 

10.491  7859 
491  4i5o 
491  0444 
490  6742 
490  3o44 
489  9349 

10.489  5657 
489  1969 
488  8284 
488  46o3 
488  0926 
487  725 1 

10.487  358 1 


tang. 


diCl" 


9.511  7760 

5r2  2f»57 

5i2  635i 

5[3  0641 

5  r  3  4927 

5i3  9210 
9.514  ^490 

5147766 

5i5  2039 

5i5  63o9 

5i6o575 

5 16  4838 
9.5169097 

5173353 

5177606 

5i8i855 

5i86ioi 

5190344 

9-5194583 

5198819 

520  3o52 

520  7382 

521  i5o8 

521  5730 
9-521  9950 

5224166 

522  8379 

523  2589 

523  6795 

524  0999 
9.524  5199 

524  9395 

525  3589 

525  7779 

526  1966 
5266i5o 

9.5270331 

527  45o8 

527  8682 

528  2853 

528  7021 

529  II 86 
9-529  5347 

529  95o5 

530  366 1 
5307813 
53i  1961 
53i  6107 

9.532  02 5o 
532  4389 

532  8526 

533  2659^°^ 

533  6789l^«^ 

534  0916^-7° 

DJ4  9101    /;q    c 

535  3278!^-^ 

535  7393i5S-S 

536  1 505^5^ 
536  5613  ^-47 

9.5369719^^-43 


aec 


71.62 
71.57 
7r.5o 
71.43 
71.38 
71.33 
71.27 
71.22 

71.17 

71.10 

71.05 

70.98 

70.93 

70.88 

70.82 

70.77 

70.72 

70.65 

70.60 

70.55 

70.50 

70.43 

70.37 

70.33 

70.27 

70.22 

70.17 

70.10 

70.07 

70.00 

69.93 

69.90 

69.83 

69.78 

69.73 

69.68 

69.62 

69.57 

69.52 

69.47 
69.42 
69.35 
6930 
69.27 
69.20 
69,13 
69.10 
69.05 
68.98 
68.95 
68.88 


co-la  ng. 


co-tang. 


dif.  I 


10.488  224< 
487  7943 
487  3649 
486  9359 
486  5073 
486  0790 

io.485  65io 
485  2234 

4847961 
484  3691 
483  9425 
483  5162 

I0.483  0903 
482  6647 
482  2394 
48i  8145 
481  3899 
480  9656 

10.4805417 
4801181 
479  6948 
479  2718 
478  8492 
478  4270 

10.478  oo5o 
477  5834 
477  1 62 1 

476  741 1 
476  32o5 
4759001 

10.475  4801 
475  o6o5 
474  64 1 1 
474  2221 
473  8o34 
473  385o 

10.472  9669 
472  5492 
472  i3i8 

471  7147 
471  2979 
4708814 

10.470  4653 
470  0495 
469  6339 
469  2187 
4688039 
468  38o3 

10.467  9750 
467  56 II 
467  1 474 
466  7341 
466  3211 
465  9084 

I0.465  4960 
465  0839 
464  6722 
464  2607 
463  8495 
463  4387 

I0.463  0281 


sec. 


tang. 


108° 


10.021  7937 
021  8347 
021  8759 
021  9170 
021  9582 

021  9994 

10.022  6407 

022  0820 
022  1234 
022  1647 
022  2062 
022  2477 

10.022  2892 
022  33o7 
022  3723 
022  4i4o 
022  4556 
022  4974 

10.022  5391 
022  5809 
0226228 
022  6646 
022  7066 
022  7485 

10.022  7905 
022  8326 
022  8747 
022  9168 

022  9690 

023  0012 

10.023  0434 
023  0857 
023  1 280 
023  1704 
023  2128 
023  2553 

10.023  2978 
023  34o3 
023  3829 
0234255 
023  4682 
023  5109 

10.023  5536 
023  5964 
023  6392 
023  6821 
023  7250 
023  7679 

10.0238109 
023  8539 
023  8970 
023  9401 

023  9833 

024  0264 

10.024  0697 
024  ii3o 
024  1 563 
024  1996 
024  243o 
024  2865 

10.024  3299 


d.  I" 


6.83 
6.87 
6.85 
6.87 
6.87 
6.88 
6.88 
6.90 
6.88 
6.92 
6.92 
6.92 
6.92 
6.93 
6.95 
6.93 
6.97 
6.95 

6.97 

6.98 

6.97 

7.00 

6.98 

7.00 

7.02 

1 7. 02 

7.02 

703 

7.03 

7.o3 

7.05 

7.05 

7.07 

7.07 

7.08 

7.08 

7.08 

7.10 

7.10 

7.12 

712 

7.12 

7.i3 

7.i3 

7.15 

7.15 

7.15 

7.17 

7.17 

7.18 

7.18 

7.20 

7.18 

7.22 

7.22 

7.22 

7.22 

7.23 

7.25 

7.23 


9.978  2o63  60 
978  1 653  59 
978  1241  58 
978  o83o  57 
978  04 18  56 
978  oof)6  55 

9.977  9593.54 
977918053 
977  8766  52 
977  8353  51 


CO-SI  n. 


co-sec. 


9777. 
977  7523 

9.9777108 
977  6693 
977  6277 
977  586c 
977  5444 
977  5026 

9.977  4609 
9774191 
977  3772 
977  3354 
977  2934 
977  25i5 

9.977  2095 
977  1674 
977  1253 
977  o832 
9770410 
9769988 

9.976  9366 
9769143 
976  8720 
976  8296 
9767872 
976  7447 

9.976  7022 
9766597 
9766171 
976  5745 
9765318 
976  4891 

9.976  4464 
976  4o36 
9763608 
9763179 
976  2756 

976  2321 
9.976  1891 

976  i46i 
976  io3o 
976  0699 
9760167 
975  9736 

9.975  93o3 
916  8870 
975  843- 
975  8oo4 
975  7570 
9757135 

9.975  6701 


i38  5c 
49 


48 

47 
46 
45 
44 
43 
42 
4i 
4o 

39 
38 

37 
36 

35 

34 
33 

32 

3i 

3o 


1 


d.  1" 


SID. 


2 
2 

27 
26 
25 
24 
23 
22 
21 
20 

19 
18 

17 
16 
l5 
l4 

i3 

12 

II 
10 

9 
8 

I 

6 
5 
4 
3 
2 
I 
o 


710 


\ 


\ 


■•■: 


r  i 


252 


LOGAEITHMIC     SINES,   TANGENtS,    dcc. 


10O 


1600 


■in. 


9.612 
5i3 
5i3 
5i3 
5i4 
5i4 
6|9.5i4 
5i5 


I 

a 
3 
4 


2 


6419 
0086 

375(> 
74  »o 

1067 


iiir.1" 


61. la 

61.07 

6l.CK> 

60.95 
60.00 


■CtUCCm 


9 
10 

f  I 

12 

1 3 

14 
i5 

16 

•  7 
18 

liy 
20 
'ii 

33 
24 

26 

37 
aS 
39 
3o 
3i 

32 

33 
34 
35 
36 
37 
38 
39 
4o 

4i 
4a 
43 

44 
45 
46 

47 
48 

49 
5o 

5i 

5a 

53 
54 
55 
56 

57 
58 
59 
60 


5i5 
5i5 
5i6 
5i6 

9-5 17 
5i7 
5i7 
5i8 
5i8 
5i8 

9.519 
5i9 
Sry 
Sao 
5ao 
520 

9.531 
Sat 

5a  2 

522 

523 

9.523 
523 
5a4 
5a4 
534 
5a5 

9-525 
525 
526 
526 
527 
5a7 

9.5a7 
528 
5a8 
528 
529 
529 

9-529 
53o 
53o 
53o 
53 1 
53i 

9-53 1 
53a 
532 
533 
533 
533 
9.534 


2017 


9.3*"M"» 
2036 
6569 
0198 
3834 


■60.77 
6i'»,7a 
fiO'.67 
;&)..6o 
fio.55 
60.48 
60.43 
6o.38 


twig. 


i:!S?>-3, 


468  a 
8295 
1904 
55 10 
91 12 
2711 
63o7 

^^ 


60.27 

t  H,  *»  H*  Jl 

fo.i5 
60.10 
60.  o3 
59.98 
59.93 
59.87 
59:8a 


/1 59.77 

nfi'ViP'9'7'-* 


4953 
85 1 8 
2081 

564o 
9196 
2749 
6298 

9844 
3387 

6927 
o463 
3997 

7626 
io53 

4577 
8097 

i6i4i 
5ra8 


8638 
ai46 
565o 
9i5i 
2649 


59.5© 

59.42 

59.38 

59.32 

59.27 

59.22 

59,15 

59.10 

59.05 

59.00 

58.93 

58.90 

58.8a 

58.78 

58.73 

58.67 

58.62 

58.57 

58.5o 


58.47 
58.4o 
58.35 
58.3() 
c,  /^!58.a3 

1^^^158.13 

0090  CO 
3569^^9° 
7044 

o5i7 


co-tin. 


57.92 
57.88 


ditl" 


10.4873581 
4869914 

4866250 
486  2590 
485  8933 
485  5279 
I0.485  1629 
484  798J 
484  4340 

484  ""I'U 

483  7o<>4 
483  343 1 

10.4820602 
4826176 
482  2553 
481  8934 
481  53r8 
481  1705 

10.4808096 

480449* 
4800888 
479  7289 
479  3693 
4790101 

10.478  65 1 2I9 
478  2926 
477  9 '44 
477  J765 
4772189 
4768617 

10.476  5o47 
476  1482 

475  79 '9 
475  436o 
475  0804 
4747251 

10.474  370a 
4740 '56 
4736613 
473  3073 
472  9537 
47a  6oo3 

10.472  2474 
471  8947 
471  5433 
471  1903 
470  8386 
470487  a 

10.470  1 36a 
469  7854 
469  43  5o 
469  0849 
468  735 f 
468  3857 

0.468  o365 
467  6877 
467  3392 
4669910 
4666431 
466  2956 

I0.465  9483 


iliCI" 


f)8.37 

68.32 

68.a8 

^68.22 


^  536  9719 
537  J8ai 

537  79>o 

538  aoi7 

538  61  lO;,.. 

539«>P(.()l?°-'7 

1.5394287*^-" 
5398371 
540  2453 

540  653 1 

54 1  0606 

541  4678 
•54 1  8747 

542  38 1 3 

542  6877 

543  0937 
543*4994 

543  9<»48 
.544  3i(K» 

544  7148 

545  1193 
545  5a36 

545  9276 

546  33 1 2 

546  7346 

547  «377 
547  54o5 

547  9430 

548  3452 

5487471 
•549  1487 

549  55oo 

549  95 1 1 
55o35i 

550  752 


cn-lanf. 


■oc. 


55i  i525 


■55i  5524 

55 1  oSai 
55a  35i4 

552  75o4 

553  149a 

553  5477 
•5539459 
5543438^^ 

554  74 1 5!)^ 

555  1388^^" 
555  5359 

555  9327 

556  3292 

556  7255 

557  iai4 


68.07 
68.03 
67.97 
67.92 

67.87 
67.82 
67.77 
67.73 
67.67 
67.6a 
67.57 
67.53 

67.47 

67.43 

67.38 

67.33 

67.27 

67.23 

67.18 

67.13 

67.08 

67.03 

66.98 

66.93 

66.88 

66.85 

66.80 

66.73 

66.70 

66.65 

66.62 

66.55 

66.5o 

66.47 

66.42 

6r).37 

66.32 

66.28 


66.18 
66.13 
66.08 
66.o5 
65.98 


5575171 

557  9ia5 

558  3o77 


65.95 
65.90 
65i7 

65. 80 


558  7oa5"^°^ 


5594914^^^ 
55?  8854^^-^^ 

56o  3792  ^^-^3 
5606727 
56i  0659 


65.58 
65.53 


i«e. 


co^aog.     difl  1" 


io.463oa8 
4636179 
462  2080 
461  7983 
461  3890 
4609800 

10.4605713 
460  1629 
459  7547 
450.3469 
458  0394 
458  5322 

10.458I253 
4577187 
457  3ia3 
456  9063 
45()  5(Hi6 
456  (^53 

ro.45569(M) 

455  3852 

454  8807 
454  4764 
454  0724 
453  6688 
10.453  3654 
452  8633 
452  4595 
452  0570 
45 1  6548 

45l  2520 

10.450  85 1 3 
45o  45oo 
45o  0489 
449648 
449  3477 
448  8475 

10.448  4476 
448  0479 
447  6486 
447  2496 
44685o8 
4464523 

10.4460541 
445  6562 
445  2585 
4448612 

4444641 
4440673 

10.443  6708 
443  2745 
442  8786 
442  4829 
442  0875 
44 1  6923 

10.441  2975 
44o  9029 
44o  5o86 
440  1146 
439  7208 
439  3273 

10.438  9341 


d.  1" 


10.024  32 
oa4  37 
0244170 
024  4606 
024  5o43 
oa4  5479 

to.oa4  5917 
024  6354 
024  6792 
034733 1 
024  7670 
0248109 

io.oa48549 

024  8989 
0249430 
0249871 

025o3l2 

025  0754 


tang. 


10.025  1196 
025  1639 
025  2082 
025  25a5 
025  2969 
025  34 1 3 

10.025  3858 
025  43o3 
025  4748 
025  5194 
025  564i 
025  6087 

10.025  6534 
0256982 
025  743o 
025  7878 
025  8327 
oa5  8776 

10.0259226 

025  9676 
0260127 

026  0578 
oa6  1029 
026  1481 

10.026  1933 
026  2385 
026  2838 
026  3291 
026  3745 
0264199 

10.0264654 
026  5109 
026  5565 
026  6020 
026  6477 
026  6933 

10.026  7J90 
026  7848 
0268306 
026  8764 
0269223 
0269682 

10.027014a 


7.27 
7.25 
7.27 
7.28 
7.27 
7.3o 
7.28 
7.3<> 
7.32 
7.3a 
7.32 
7.33 
7-33 
7-35 
7-35 
7.35 
7.37 
7.37 
7-38 
7.38 
7.38 
7.40 
7.40 
7.42 

7-42 

7.42 

7-43 

7-45 

7.43 

7.45 

7-47 

7.47 

7.47 

7-48 

7.48 

7.5o 

7.5o 

7.53 

7.52 

7.52 

7.53 

7.53 

7.53 

7.55 

7.55 

7-57 

7-57 

7-58 

7«58 

7.60 

7.58 

7.62 

7.60 

7.62 

7-63 

7-63 

7-63 

7-65 

7.65 

7.67 


co-8in. 


CO-lfiC 


d.  1" 


9.975  671  )r 
975  6265 
975  583< 
975  53o4 
975  4957 
9754521 

9.975  4f>83 
975  364^ 
9753208 
975  2769 
975  233() 
975  1891 

9.975  i45i 
975  ion 
975  o57f 
9750129 
974968b 
974  9346 

9.974  8804 
974  836 1 

97479'^ 
974  7475 
974  7o3 
974  6587 
9.9746142 
974  5697 
974  525v 
974  4806 
974  4359 
974  39  r 
9.974  3466 
974  3o  1 8 
974  2570 
974  2122 
974  1673 
974  1224 
9.974  0774 
974  0334 
973  9873 
9739422 
9738971 
973  85  r  9 
9.973  8067 
9737615 
973  7 '62 
973  6709 
973  6255 
973  58oi 
9.973  5346 
973  4891 
973  4435 
973  3980 
973  3523 
973  3067 
9  973  2610 
973  21 52 
973  1694 

973  I2d6 

973  0777 

973o3i8 

9  972  9858 


5B 

57 

56 

55 

54 

53 

5i 

5 1 

5«) 

49 
48 

47 
46 

45 
44 
43 

42 

41 
4u 
3 
3 

3? 
36 
35 
34 
33 

32 

3i 

9 
2 

27 
26 

25 

^4 

23 

22 
21 
20 

•9 
18 

•7 
16 

i5 
i4 
i3 
12 
1 1 
10 


■in. 


1000 


700 


LOGARITHMIC  SINES,  TANGENTS,  &C. 


253 


20° 


Bin. 


o 
I 
2 
3 

4 
5 
6 

7 
8 

9 

10 

ir 
12 
i3 

•  4 
i5 
j6 

18 

'9 
20 

21 

22 

23 

24 

25 

26 

27 
28 

^9 

JO 

3i 

32 

33 
34 
35 

3() 

37 

38 


dif.  I" 


57.82 

57-77 
57.7a 
57.67 
57.6a 

57.57 
57.52 

57.45 

57.40 


9.5340517 
534  3986 

534  7452 
5350915 

535  4375 

535  7832 
9.5361286 

536  4737 
5368184 

537  i6a8  c  o 
537  5070  ^7-37 

537  85o8  P'^ 
9-538  1943  i'7''^ 

538  5?75^7-'? 
538  8804  ^^-^^ 

539  223o 

539 5653  ^7°3 

540  59o3|?2'2? 
54o95,4^^-°^ 

541  2721^^-^8 
5416126^^-75 

^f!???z!56  65 


co-«ec. 


nin'',^^^l 


5426321 

542  9713 

543  3io3 


39 
4o 
4i 
42 
43 

44 
45 
46 

47 
48 

5i 

52 

53 

54 
55 
56 

57 
58 

59 

teo 


56  53 
56. 5o 

543  6489  l^il 

5439873!^^-^^ 
9.5443253'^^^^ 

544  663o 

545  noo5 


56-28 
56.25 
56.18 


mi'z'56:\l 


545  6745 

5460110 
9  546  3472 

546  6832  „    ^ 

5S?5S  55.88 

547  3542  ^5_jj5 


56.08 
56.o3 
56.00 


547  6893 

548  0240 
9.548  3585 

548  6927 

549  0266 
549  36o2 

549  6935 

550  0265 
9.550  3592 


55.78 
55.75 
55.70 
55.65 
55.60 
55.55 
55.5o 
55.45 
55.40 


5^069.6^,^;- 


55  r  0237 
55 1  3556 

55 1  6871 
5520184 

9-552  3494 

552  6801 
553oio5 

553  3406 
553  6704 
553  9999 

9.554  3292 


55.3a 
55.25 

55.22 

55.17 

55.12 
55.07 
55.02 
54.97 
54.92 
54.88 


co-iin. 


dif,  I" 


I0.465  9483 
465  6014 
465  2548 
4649085 
464  5625 
4642168 
I0.463  8714 
463  5a63 
463  181^ 
46a  837a 
462  4930 
46a  1492 
10.461  8057 
461  4625 
461  1196 
460  7770 
460  4347 
460  0927 
10.4597511 
459  4097 
4590686 
458  7279 
458  3874 
458  0473 
10.457  7074 
457  3679 
457  0287 
456  6897 
456  35 1 1 
4560127 
ro.455  6747 
455  3370 
454  9995 
4546624 
454  3255 
4539890 
10.453  6528 
453  3 1 68 
4529811 
45a  6458 
45a  3 1 07 
45 1  9760 
10.45 164 1 5 
45 1  3073 
45o  9734 
4506398 
45o  3o65 
449  9735 
10.4496408 
449  3o84 
448  9763 

44s  6444 
448  3129 

447  98 1 6 
10.447  ^06 
4473199 
446  9895 
446  6594 
446  3296 
4460001 
10.445  6708 


159<» 


ung. 


diei" 


9.561   0659  zjc    /o 

56i458p5.^^ 
56i85i5 
562  2439 

562  636o 

563  0278 
9.5634194 

563  8107 

564  2018 
564  5925 

564  9831 

565  3733 
9-565  7633 

566  1 53o 

566  5424 
566o3i6 

567  32o5 

567  7091 
9-568  0975 

568  4856 

568  8735 

569  2611 

569  6484 

570  o355 


65.45 
65.4o 
65.35 
65.3o 
65.27 

65.22 

65.18 

65.12 
65. 10 
65.o3 
65.00 
64.95 
64.90 

64-87 
64-82 

64-77 
64.73 
64-68 
64-65 
64.60 
64-55 
64.52 


co-taiig. 


I0.438  9341 
438  5412 
438  1485 
437  7561 
437  364o 
436  9722 

■I0.436  58o6 
436  1893 
435  7982 
4354075 


■ec. 


d.1' 


10.02701421^  J 

0270602:''^' 

027  io6a!;j-^Z 
027i523i:7.b» 

027  i984i:^-r^ 

02724467-"° 
10.027  2Qo8l^'70 

027  3371  ^-"^^ 

027  3834  l-ll 
027  4297'.;'^3 


co-sm. 


4350169    027  4761  P-^O 

/;t/fiofi-T       /^o-,  «;.,.,*; (7.7 J 


9-570  4223l^ff 

570  8088  ^^-4' 

571  1951 
571  58fi 

571  9669 

572  3524 
9.572  7377 

573  1227 
573  5o74 

573  8919 

574  2761 
5746601 

9.575  o438 

575  4272 

575  8io4 

576  1934 
6765761 
676  9686 

9.677  3407 
5777226 
578  1043 

578  4858 
6788669 

579  2479 
9.6796286 

6800090 

680  3892 
6807691 

681  i488 
58i  6282 

9681  9074 

682  2864 
6826661 
583  0435 
583  4217 
583  7997 

9-584  1774 


64-38 
64.33 
64-3o 
64-25 
64.22 

64.17 
64.12 

64.08 

64.o3 

64  00 

63.96 

63.90 

63.87 

63.83 

63.78 

63.73 

63.70 

63.66 

63.62 

63.68 

63.62 

63.6o 

63.45 

63. 4o 

63.37 

63.32 

63.28 

63.23 

63. 20 

63.17 

63. 1  a 

63.07 

63.o3 

63 .00 

63.96 


■ec 


co-tang. 


434  6267 
10.434  2367 
433  8470 
433  4576 
4330684 

4^2  6796 
432  2909 
10.431  9026 
43i  5i 44 
43 1  1265 
43o  7389 
43o35i6 
429  9645I 

ro.429  5777 
429  1912 
428  8049 
4284189 
428033 1 
427  6476 

10.427  3623 
426  8773 
426  4926 
426  1081 
426  7239 
426  3399 

10.424  9662 
424  6728 
424  1896 
423  8066 
423  423q 
423o4i5 

10.422  6693 
422  2774 
421  8967 
421  5i43 
421  i33i 
4207621 

10.4203714 
4199910 
4196108 
419  23o9 
4188612 
4184718 

10.4180926 
4i7  7i36 


027  5226|;;r 

10.027  669oK-7^ 

o27  6i56K"c 
027  662oi'^-7^ 
027  7o86g-77 

027  7662 ';'X« 

0278019;-'° 

10.027  8486  "70 

027  8953 

0279421 

027  9890  ^'o^ 
^oHA^r«i7-8o 

7-83 


7-78 
7-80 

7-82 


028  o358 


028  0828 

10.028  1297 

028  1767 

028  2238 

028  2709 
028  3 1 80 
028  3662 
10.0284124 
028  4696 
028  6069 
028  5543 
0286016 

028  6491  r-92 

10.028  6965l"^"9o 


7-82,    „  , 
7-8399718703 

7-85  9718233 

7-85 

7-86 

7-87 

7-87 

7-87 

7.88 

7.90 

7-88 


did' 


lIQo 


4i6  9666 

4166783 

4i6  2oo3 

10.4168226 


028  7440 
0287916 
028  8392 
028  8868 

028  9345 
10.028  9822 

0290299 

029  0777 
029  1266 
029  1735  _'j> 

029  22l4Z"9^ 

10.029  2694^°*^ 

o2g3n4ll"^ 

^^Z.  0/:c^l8.OO 


7.92 
7.93 

793 
793 

7.95 
795 

7-95 
7.97 
7.98 

798 


029  3664 
0294135 
0294617 
0296098 
10.0296681  2°^ 
0296063°-^^ 


8.02 
8.o3 
8.02 
8.o5 


417  3349]      0296646 
0297030 

0297614 

029  7998 

10.029  8483 


8.07 
8.07 
8.07 
8.08 


tang. 


co-aec. 


9.972  9868  60 
972  9398 
972  8938 
972  8477 
972  8016 
972  7554 

9.972  7092 
972  6629 
9726166 ! 
972  6703  ' 
972  6239 ' 
972  4775  t 

9.9724310^ 
972  3845  i 
972  338o .: 
972  2914/ 
972  2448  i 
972  1981  ^ 

9.972  1614^ 
972  1047 
972  0679 
972  01 10 

971  9642 

971  917? 

8703 

971 

971  7762 

971  7291 

971  6820 

971  6348 
9.971  6876 

971  6404 

971  4931 

971  445-  : 

971  3984  : 

971  35oo ; 
9.971  3o35  ^ 

971  2660  •- 

971  2084  '. 

971  1608  ; 

971  11 3?  ; 

971  o655  1 
9.971  0178  1 
9709701  I 
9709223  I 
970  8744  I 
970  8266  I 
970  7786  I 
9.970  73()6  I 
970  6826  I 
970  6346  I 
970  6865 
970  6383 
970  4902 
'9.9704419 
970  3937 
970  3454 
970  2970 
970  2486 
970  200 
9.970  1617 


d.1' 


sin. 


69« 


I 


254 


LOGARITHMIC     SINES,      TANGENTS,     &C. 


no 


158° 


555 

556 


7 
8 

9 

10 

11 

13 
i3 
i4 

13 

f6 


•in* 


9-554 
554 


Baoa 
658 1 


555 


iliCI" 


1 52 

6433 

9711 

2987 


37 
38 
39 

40 


4i 

46 

47 

49 

5o 
5t 
5^ 
53 
54 
55 

•ill  / 

311 

59 


557 
557 

55? 

9-558 
558 
558 
559 
559 
559 

9-56o 
56o 

56i 

56i 

56 1 

9  563 

562 

562 
563 
563 

9-564 
564 
564 

'565 
565 


18 

19 

90 

a  I 

22 
23 
24 

25 

26 
27 
28 

29 
3o 
3i 

33 
34 

16|9-565 

300' 

566 

rgut 
300 


56?' 

567 

9-567 

568 
568 

569 

569 

9-569 

570 
570 

570 
571 
571 
9.571 
572 

57a 

572 

572 

573 

9.573 


9529 

279^) 

9321 

2579 

5835 
9088 
2338 
5585 
8829 
2071 
53io 
8546 

1779 
5oio 

8337 
1463 

4685 

7904 

II3I 

4335 
7546 
0754 
3960 

7163 

o363 

6756 
9948 

Ji37 
6334 
9508 
3689 

JKJ\JO 

9044 
2217 
5387 
8555 
I73"l 
4883 
8043 
1200 
4355 
75o6 
o656 
38o2 
6946 
0087 
3226 
636? 

940 
2626 

5754 


dMin. 


54-82 

54-78 
54-73 
54.68 
54-63 
54.(>o 
54.53 
54. 5o 
54.45 
54- 4o 
54.35 
54-30 
54-27 
54.22 
54.17 
54*12 
54.07 
'54.03 
53.98 
53.93 
53.88 
53.85 
53.78 
53.75 
53.72 
53-65 
53.63 
53.57 
53.52 

53.47 
J  J.43 
53.38 
53.33 
53-3o 
53.25 
53.20 
53.1 5 
53.12 
53.07 
53.02 
52.98 
52.93 
52.88 
52.83 
5a  .80 

52.77 
52-70 
52.67 
52.62 
52-58 

52.52 

52.5o 
52.43 
52.40 

52,32 

52.27 

52.22 
52.18 

52.  i3 


tO-B&Cm 


tatif.       di£l" 


dif.  I" 


104456708 
4453419 
445  01 33 
4446848 
444  3567 
444  0289 

10.4437013 
4433741 
4430471 

44^  3940 
44a  0679 

10.441  7421 
44i  4i65 
44t  0912 
44o  7662 
440  44 1 5 
44o  1171 

10.4397929 
439  4690 

430  1454 
4388221 
438  4990 
438  1763 

r  0.437  8538 
437  53 1 5 
437  2096 
436  8879 
436  5665 
436  2454 

10.435  9246 
435  6o4o 
435  2837 
4349637 
434  6439 
434  3244 

10.4340053 
433  6863 
4333676 
433  0492 
432  73 1 1 
432  4 1 32 

10.432  0956 

43 1  7783 
43 1  461 3 
43 1  1445 
4308279 
43o  5i  17 

10.430  io57 
4298800 
429  5645 
429  2494 
'428o344 
4280198 

10.428  3o54 
4279913 
427  6774 
427  3638 
427  o5o5 
426  7374 

10.426  4246I9 


^.584  1774 
584  5549 

584  0321 

585  J091 
585  6859 
5860624 

^.586  4386 

5868147 
587  1904 

587  5660 
5879413 

588  3 1 63 
>.588  69i2 

589  0657 
5894401 
5898143 

590  1881 
5905617 

).  590035 1 

591  3o83 

591  6813 

592  0539 
592  426J 

592  7985 
1-593  1705 

593  5423 
5939138 

594  285 1 
5946561 


595  0369 
)-595  3975 

595  7679 

596  i38o 
5965079 

596  8776 

597  2470 
>■  597  6162 

597  08  52 

598  354o 

598  7225 
5990908 

599  4588 
►  5998267 

600  iq43 
600  5617 


M6a 


n 


6009289 

601  2058 

601  6625 
>.6o2  03 

602  39 

602  7613 

603  1271 

603  4927 
6o3858i 

».6a4  2233 
6045883 

604  9529 

605  3174 
6o5  68j7 
6060457 

'.6064096 


co-tang. 


oa.Qs 

62.87 

62.83 

6a. 80 

62.75 

62.70 

62.68 

62.63 

6a.6o 

6a.55 

62.50 

62.48 

6a  .4a 

6a. 4o 

6a.35 

62.32 

62.27 

62.23 

62.18 

6a. 1 7 

62.12 

62.07 

62.03 

62.00 

61.97 

61.92 

61.88 

61.83 

61.80 

61.77 

61.73 

61.68 

61.65 

61.62 

61.57 

6 1.53 

61. 5o 

61.47 

61.4a 
61.38 
61.33 
61.32 
61.27 
61. 23 
61.20 
61.1 5 
61.12 
61.08 
6i.o5 
61.00 
60.97 
60.93 
60.00 
60.87 
60.83 
60.78 
60.75 
60.7  a 
60.67 
6o.65 


wHanf. 


10.41 5  8326 
4i5  445i 
4150679 
4146909 
4i4  3i4i 
4i3o376 

io.4i3  56i4 
4i3  i853 
4i3  8096 
4124340 
4i  2  o587 
4i  I  6837 

io.4ii  3o88 
4109343 
4105599 
410 i858 
4098119 


408  3i88 
407  9461 
407  5737 
407  201 5 

10.4068295 
406  4577 
4060862 
4o5  7149 
4«)5  3439 
404973 1 

10.404  6025 

4o4  2321 

4o3  862o 
4o3  493 1 
4o3  1324 
4027530 

io.4oa3838 
4oa  01 48 
4oi  6460 
4oi  2775 
4009092 
4oo  54i3 

io.4oo  1733 
399  8o57 
3994383 
3990711 
398  7042 
398  3375 

10.3979710 

3976047 
397  2387 
396  8729 
3965073 


■«c 


10.029  8483 
0298968 
039  9453 

029  9939 
o3oo42D 
o3oo9i3 

io.o3o  i4oo 
o3oi888 
0302376 
o3o2864 

030  3353 
o3o  384a 

io.o3o4332 
o.3o  4823 
o3o53i3 
o3o  58o4 
o3o62 


d.l 


4o<)  4383   o3o  6788 
10.4000649  10.0307280 
4086918   o3o7773 


3961419   o3a4779 


di£l" 


10-395  7767 
3954(18 
3950471 
3946836 
3943183 
393  9543 

10.393  5904 


tang. 


o3o  8266 
o3o  8759 
030.9254 

030  9748 
io.o3i  0243 

o3i  0738 
o3i  ia34 
o3i  1730 

031  3227 

o3i  2724 

i0.o3l  3221 

o3i  3719 
o3i  4ai7 
o3i  4716 
o3i  52i5 
o3i  5714 

io.o3i  6314 
o3i  6715 
o3i  7216 
o3i  7717 
o3i  8219 
o3i  8721 

io.o3i  9223 
o3i  9726 
o33  0229 
o32  073J 
o32  1237 
o32  1743 

io.o32  2247 
o32  2753 
o3a  3250 
o32  3765 
o3a  4272 


08 
.08 
o 
2 
2 
2 


co-am. 


7 
8 

7 
8 

20 
.20 

20 


io.o32  5287 
o32  5795 
o32  63o3 
0326813 
032  7321 
o3a  783 1 

io.o33  834 1 


eo-aec. 


8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8, 

8. 

8. 

8. 

8. 

8. 

8 

8 

8 

8. 

8 


.33 
.33 

.33 
-25 

23 
.35 
.35 

27 
.27 
.28 
.28 

38 

3o 
.3o 

.33 

.32 

32 

.33 
.35 
35 
35 

.37 
■37 
■37 
.38 

.38 
.40 
.40 
.42 
.42 
.43 
.43 
.43 
.45 
.45 
•47 
■47 
47 
48 
.48 
5o 
5o 


9.970  i5i7 
970  io33 
970  o547 
9700061 
9699574 
9699087 

9.9^)9  8600 
9698113 

9697634 
9697136 
9696647 
9696158 

9-9695668 
9695177 
9694687 
9694196 
969  3704 
9693213 

9.969  2720 
9692227 
969  1734 
969  124t 
9690746 

9690252 

9.968  9757 

9689262 

9688766 

968  827f 

9687773 

968  7276 
9.968  6779 

9686281 
9685783 
9685384 
9684785 
9684386 
9.968  3786  24 
9683285  ~ 
9682784 
9682283 
968  1781 

968  1279 

9.968  0777 

96802741 1 7 

9679771 

967  9267 

967  8763 
9678258 

9-967  7753 
967  7247 
9676741 
967  6235 
967  5728 
9675221 

9.9674713 

967  42o5 
9673607 

9673188 

9672679 

967  2169 

9.967  1659 


60 
59 


58 
57 
56 
55 

54 
53 
53 

5i 

5o 

49 
48 

47 
46 
45 
44 
43 
43 
4i 
4o 
39 
38 

3/ 
36 
35 

34 
33 

32 

3i 

3o 


d.1' 


■m. 


27 
26 

25 


33 
23 
21 
20 


16 

1 5 
14 

13 
I J 
1 1 
10 


o 


1110 


«8o 


LOGARITHMIC  SINES,  TANGENTS,  &C. 


255 


220 


sin. 


9-573  5754 


1  573  8880 

2  574  2003 

3  574  5123 

4  5748240 

5  575i356 

6  9.575  4468 

7  575  7578 

8  576  o685 

9  576  3790 

10  5766892 

1 1  576  9901 
129.5773088 
i3  5776183 

1 4  5779275 

1 5  5782364 

16  5785450 

17  5788535 
189-579  1616 

19  579  4695 

20  579  7772 

21  5800845 

22  5803917 

23  5806986 
249  58 1  oo52 

25  58i  3ii6 

26  58i  6177 

27  58 1  9236 

28  582  2292 

29  582  5345 

30  9-582  8397 

3 1  583  1445 

32  583  449' 

33  583  7535 

34  5840576 

35  584  36  r  5 
9-5846651 

584  9685 
5853716 

39  585  5745 

40  585  8771 
4i  586 1795 
43  9  586  48 16 

43  586  7835 

44  5870851 

45  587  3865 

46  5876876 

47  587  9885 

48  9  588  2892 
Ag  588  5896 
5o  588  8897 
5i  5891897 

52  589  4893 

53  5897888 

54  9  590  0880 

55  590  3869 

56  5906856 

57  5909841 

58  591  2823 

59  591  58o3 
609-591  8780 


1570 


dif.r 


36 

37 

38 


52.10 

52.o5 

52.00 

51.95 

51.93 

51.87 

5 1.83 

51.78 

51.75 

51.70 

51.65 

5 1.63 

51.58 

51.53 

5 1. 48 

51.43 

51.42 

51.35 

5i.32 

51.28 

5l.22 
5l.20 

5i.i5 

5i.io 

51.07 

5 1.02 

50.98 

50.93 

5o.88 

50.87 

5o.8o 

5o.77 

50.73 

5o.68 

50.65 

5o.6o 

50.57 

5o.52 

50.48 

50.43 

5o.4o 

50.35 

5o.32 

50.27 

5o.23 

5o.i8 

5o.i5 

5o.I2 

5o.07 

5o.02 

5o.oo 
49.93 
49.92 

4987 
49.82 
49.78 
49.75 
49.70 
49.67 
49.62 


co-8ec. 


c«>-«in. 


di£l' 


10.426  4346 
426  1 1 20 

425  7997 
435  4877 
425  1760 

424  8644 

10.424  5532 

424  3422 

4239315 

423  62  JO 

423  3 1 08 
4230009 
10.4226912 
422  38i7 
422  0725 
421  7636 
421  455o 
421  1465 
0.420  8384 
420  53o5 
430  3228 
4199155 
4196083 
4193014 
10.4189948 
4i8  6884 
4i8  3823 
4i8  0764 
4177708 
417  4655 
10.417  i6o3 
4i6  8555 
4i6  5509 
4i6  2465 
4159424 
4x5  6385 
10.4153349 
4i5o3i5 
4r4  7284 
4144255 
4i4  12a 
4i3  820 
io.4i3  5i84 
4i3  2i65 
4129149 
4i2  6i35 
4i3  3i24 
4i2  oii5 
10.411  7108 
4ii  4io4 
4ii  iio3 
4io8io3 
4io5io7 
4to  2112 
10.4099120 
4096131 

4093144 
4090159 
4087177 
4084197 
10.408  1220 


tang. 


9.6064096 
732 


60677 
607  1 366 
607  4997 

607  8627 
6082254 

9.608  588o 

608  o5o3 
6093124 

609  6742 

610  0359 

610  3973 
9.610  7586 

611  1196 
6114804 

611  8409 

612  20l3 
612  56i5 

9.6129214 
6132812 
6i3  64o7 
6140000 
614  3591 
6147180 


dif.l" 


626093 

6264454 

626  7973 

627  1491 
627  5oo6 

9.627  85 19 


•ec.        I     co-tang. 


59.67 
59.65 
59.60 
59.57 
59-53 
59-50 

59-47 
59-43 
59-40 
59-37 
59.33 
5928 
59-27 
59.23 
5918 
59.17 

59  12 
59-10 
59-05 
59-02 
59-00 

58-95 
58-93 
58-88 
58-85 
58-82 
58 -80 
58-75 
58-72 
5870 
58-65 
58-63 
58.58 
58-55 


60.60 

60.57 

60.52 

60. 5o 

60.45 

60.43 

6o.38 

60.3.5 

6o.3o 

60.28 

60.23 

60.22 

60.T7 

6o.i3 

60.08 

60.07 

6o.o3 

59.98 

59.97 

59.92 

59.88 

59.85 

59-82 

9.615  0766|^9-77 
6154351^975 
6i5  7934l59-72 

616 i5i4 

6165093 

6168669 
9.6172343 

6175815 

6179385 

618  2953 

6186519 

6190083 
9.6193645 

6197205 

620  0762 

6204318 

620  7872 

621  i4a3 
9.621  4973 

621  8520 
633  3066 

622  5609 

622  91 5o 

623  2690 
9.6236227 

623  9763 

624  3296 
6246827 

625  o356 
625  3884 

9.625  7409 


co-tang. 


10.393  5904 
393  2268 
392  8634 
392  5oo3 
392  1373 
391  7746 
10.391  4120 
391  0497 
3906876 
390  3258 
389  9641 
389  6027 
10.389  24i4 
388  8804 
3885196 
388  1591 
387  7987 
387  4J85 
10.387  0786 
3867188 
386  3593 
3860000 
385  6409 
385  2820 
10.3840234 
384  5649 
384  2066 
383  8486 
383  4907 
383  1 33 1 
10.382  7757 
3824185 
382  061 5 
38 1  7047 
38 1  3481 
3809917 
io.38o6355 
38o  2795 
379  9238 
379  5682 
379  2 1 28 
378  8577 
10.378  5027 
378  i48o 

377  79341 
3774391 
377  o85o 
3767310 

10.376  3773 
376  0237 
375  6704 
3753173 
3749644 
374  61 16 

10.374  2591 
373  9068 
373  5546 
373  2027 
372  8509 
372  4994 

10372  1481 


sec 


d.1" 


io.o32  834iL  c 
o32  8852!^-^^ 

032  9363  R?^ 
o3a9875|-^f 

033  o386ic  ^? 
o33  0899°-^^ 

io.o33  i4i2^'^c 

o33  i925i«?? 

o33  2438  ^-^5 

o33  2952 

o33  3467 

o33  3982 
io.o33  4497 

o33  5oi3 

o33  5529 

o33  6o46 

o33  6563 

o33  7080 
io.o33  7598 

o33  8ii6 

o33  8635 

o33  9i54ifi-2'' 

o33  ^74!^  f 

o34o,94K 


co-sin. 


8.57 

8.58 
8.58 
8.58 
8.60 
8.60 
8.62 
8-63 
8.62 
8.63 
8.63 
8.65 
8.65 


dif.i" 


tang. 


112° 


10.034071 5 
o34i236 
o34  1757 
o34  2279 
o34  2801 
o34  3333 

io.o34  3847 
o34  4370 
0344894 
o34  5418 
o34  5943 
o34  6468 

io.o34  6994 
o34  7520 
o34  8047 
0348574 
o34  9101 

034  9629 
io.o35oi57 

o35o686 

035  131 5 
o35  1744 
o35  2274 
o35  2805 

I0.O35  3335 
o35  3867 
o35  4398 
0354931 
o35  5463 
0355996 

10.035  653o 
o35  7063 
o35  7598 
o35  8i33 
o35  8668 
o35  9303 

io.o35  9739 


co-sec. 


8.68 

8.68 

8.70 

8.70 

8.70 

8.73 

8.72 

8.73 

8.73 

8.75 

8.75 

8.77 

8.77 

8.78 

8.78 

8.78 

8.80 

8.80 

8.82 

8.82 

8.82 

8.83 

8.85 

8.83 

8.87 

8.85 

8.88 

8.87 

8.88 


8.88 
8.93 
8.9c:> 
8.93 
8.92 
8.93 


9.967  165960 
967  1 148  59 
967  0637  58 
9670125 
9669614 
9669101 

9.966  8588 
966  8075 
9667563 
9667048 
9666533 
9666018 

9-966  55o3 

9664987 
9664471 
9663954 
9663437 
966  2920 

9.966  2403 
9661884 
966  1 365  4o 
966  0846  ~ 
966  o336 
9659806 

9.965  9285 
9658764 
965  8343 
965  7721 

9657199 
9656677 
9.9656153 
965  563o 
9655106 
965  4583 
965  4o57 
965  3532 
9.965  3oo6 
9652480 
965  1953 
965  1436 
9650899 
9650371 
9.964  9843 
9649314 
964  8785 
964  8356 
964  7726 
9647195 
9.964  6665 
9646133 
964  56o3 
964  5069 
9644537 

890  „  ^i  fr"^ 

8  88  9  ?64  3470 
964  2937 
964  2402 
9641868 
964  i332 
964  0797 
9.9640261 


d.r 


sin. 


5- 

56 
55 
5i 
53 

55 

5i 

5f, 

49 

4b 

47 
46 

45 

44 
43 
43 
4i 


39 

3b 

37 
36 
35 

34 
53 

32 

3i 
3o 
29 
28 
27 
26 

25 

24 

23 

33 
21 
20 

»9 
18 

I" 

16 

15 

14 
i3 

13 
11 
10 

t 

7 
6 
5 
4 


67« 


!•• 


256 


LO&ARITHMIC     SINES,     TAXf(}ENTS,     &C. 


1S60 


■III. 


did" 


fl(HIO€.. 


O 
1 

a 

4 
5 
6 

7 
8 

9 

10 

II 

12 

1 3 

«4 
1 5 
i6 

:17 

i8 
•9 

:90 

at 

23 

H 
a5 

96 
■97 
38 

?9 


9.591  8780 
59a  1755 
59a  4738 
5927698 
5930666 

593  363  f 
9.593  6594 

59395 

594a5i3 

5945469 

594  84a  a 
5951373 

9.595  43a  a 

595  7268 
5960212 
5963154 


5966003 
596  90  Jo 
9.597  I 


31 

33 

36 

37 
38 
39 

4oi 

4i 

42 

44 
45 
46 
47 
48 
49 
5o 
1 
5a 

54 

55 
56 

57 
58 


597  4»97 

597  7837 

598  0754 

598  3679 
598'  66Q'i 

9598  95a3 

5993441 

599  5357 

599  8a7o 

600  1181 
6t>o  4090 

3ciJ9-6oo  6997 

600  9901 

601  28o3 
601  5703 
601  8600 
60a  1495 

9602  4388 
60a  7278 
6o3  0166 

6o3  5936lr°Z 

603  88f  7  f"^R 

■604  iMIZ'S 
6o44573lj^-9j 

604  7448pij  J^ 

6053190 ''7'*'' 

605  6o57 
9v6o5  8923 

606  1786 

606  46'47 


49-58 

49.55 
49.50 

49.47 
49.4a 
49.38 
49.35 
49-3o 
49.27 
49.  a  2 
49.18 
49.15 
49.10 
49.07 
4o.o3 
48.98 
48,95 
48.92 
48.87 
48.83 
48.78 
48.75 

48.72 

48.68 
48.63 
48.60 
48.55 
48.52 
48.48 
48-45 
48.4o 
48,37 
48.33 
48.a8 
48.25 

48.22 

48.17 
48.13 
48.10 


t&ngft 


47-78 
47-77 

47-72 
47.68 

6o6  75o6^;!? 


607  o362 
■607  3a  r6 

9.607  6068 
6078918 

608  1 765 
608  46h 


47-57 
47-53 
47.5o 
47-45 
47.43 

608  7454 1:!-33 

609  0294  r,,. 
9.6093133^^'^'' 


641"  sin* 


dif.  I" 


10.408  1220 
407  8245 

407  5272 
407  23o2 

4o6  9334 
4066369 

10.4063400 
4o6  0445 
4o5  7487 
4o5  453i 
4o5  1578 
4o4  8627 

10,404  5678 
4o4  2732 
4o3  9788 
4o3  6846 
4o3  3907 
4o3  0970 

10.402  8o35 
4o2  5io3 
4oa  2 1 73 
4oi  9246 
4oi  o3ai 
4oi  3398 

10.401  0477 
4oo  7559 
4oo  464  J 
4oo  1730 
3998819 
399  5910 

10.399  3(x>3 
f  99  0099 

3987197 

398  4297 
398  i4oo 
397  85o5 

10.3975612 
397  272a 
396  9834 
396  6948 
396  4064 
396  1 1 83 

10.395  83o4 
30  5427 
395  255a 
3949680 
3946810 
394  3943 

1 0.394  1077 
3938214 
393  5353 
393  a494 
39a  9038 

3936784 
10.39a  393a  9. 
392  1082 
391  8235 
391  5389 
391  2546 
3909706 
10.3906867 


diCl" 


■«c. 


9.627  85  19  r,> 

628ao3i  ^ 
6a8  5540 
6a8  9048 
629  2553 

629  6*>57 
9.639  0558 

630  3o58 
63o6556 

63 1  oo52 

63 1  3545 
63i  7037 

9.632  o527 

632  4oi5 

632  75oi 

633  0985 
633  4468 

633  7948 
9.634  1426 

634  49t>3 
6348378 

635  i85o 
635  5321 

635  8790 
j.6.36  22D7 

636  5722 

636  9185 

637  2646 
6376106 

637  9563 
?638  3oi 

638  647 
6389925 

639  3375 
6396823 
6400269 

).64o37i4 
64o7i56 
641  0597 
64 1  4oS6 

64 1  7473 

642  0908 
(.642  4342 

642  7773 

643  iao3 
643  463 

643  8o57 

644  i48i 
.644  490^3 
64483a4 

645  1743 
645  5 160 

645  8575  ^ 

646  1988!^^ 


;! 


58 
58 
58 
58 
58 
58 
58 
58 
58 

58 
58 
58 
58 
58 
58 
57 
57 
57 
57 
57 
57 
57 

57 
57 
57 

57 

57 
57 
57 
57 
57 
57 
5? 
57 
57 
57 
57 
5" 
5- 

57 
57 
57 
57 
57 
57. 
57. 
57- 

56- 
56 
56 


.53 
.48 

•47 

.42 

.40 

.35 

33 

3o 

.a7 

22 

20 

17 

.13 

.10 

.07 

,o5 


co-tang. 


646  5400 
6468810 

647  2217 
647  56a4 

647  9038 

648  a43t 
.648  583i 


oo-tfltng. 


56 
56 
56 
56 
56 
56 


.00 
.95 

i7 

.85 
.8a 
.78 

■.75 
■72 
68 
.67 

60 

.57 
.53 
.5o 

.47 
43 
.42 

37 
35 
.3a 
.28 

'5 
.a3 
.18 

.17 
i3 
ro 
-07 
.o3 
02 
■98 
.95 
■9a 
88 
.87 
.83 
.78 
.78 
,73 
,72 
67 


me. 


10.37a  i48i 
371  7969 
371  4460 
371  0952 
370  7447 
370  3943 

10.370044a 
369694a 
369  3444 
3689948 
368  6455 
368  3963 

10.3679473 
367  5985 
367  2499 
3669015 
366  5532 
366  2o52 

10.365  8574 
365  5097 
365  1622 
3648i5o 
364  4679 
364  1210 

I0.363  7743 
363  4278 
363o8i5 
36a  7354 
362  38o4 
362  0437 

io.36r  6981 
36i  3^27 
36i  0075 
36o  6655 
36t>3i77 
3599731 

10.3596286 
359  2844 
358  94o3 

358  5064 
358  2527 
3579099 

10.357  5658 
357  aaa7 
356  8797 
356  5360 
356  1943 
355  8519 

10.355  5097 
355  1676 
354  8a57 
354  484o 
354  i425 
353  801a 

10.353  4600 
353  1 190 
35a  7783 
35a  4376 
35a  007a 
35 1  7569 

io.35i  4169 


diCl 


If 


tang. 


io.o35 

o36 

o36 

o36 

o36 

o36 

io.o36 

o36 

o36 

o36 

o36 

o36 

!o.o36 

o36 

o36 

o36 

o36 

o36 

T0.o36 

o37 

o37 

o37 

o37 

o37 

10.037 

o37 

o37 

o37 

o37 

o37 

io.o37 

o37 

o37 

o37 

o37 

o37 

io.o37 
o37 
o38 
o38 
o38 
o38 

io.o38 
o38 
o38 
o38 
o38 
o38 

10.038 
o3« 
o38 
o38 
o38 
o38 

io.o38 
o38 
039 
039 
039 
039 

10.039 


9739 

0276 

o8i3 

i35o 

1888 

24a6 

2964 

35o4 

4*>43 

4583 

5i23 

5664 

6205 

6747 

7289 

7832 

8375 

8918 

9462 

0006 

o55i 

1096 

i64a 

a  188 

2734 
3281 
3838 
4376 
4924 
5473 
6022 
6572 
7122 
7672 
8223 

8774 

93a6 

9878 

043 1 

0984 

i537 

2001 

2645 

3  200 

3755 

43 1 1 

4867 

5424 

5980 

6538 

7096 

7654 

82i3 

8772 

9332 

9892 

o452 

ioi3 

1 574 

2i36 

2698 


d.  1' 


I 


8.95 

8.95 
8.97 

8.97 
8.97 
,00 
98 
9.00 
9.00 
9.02 
9.02 
9.03 
9.o3 
9.o5 
9.o5 
9.o5 

907 
9.07 
9.08 
9.08 
910 
9.10 
9.10 
9.12 
9.1a 
9.i3 
9.13 
9.i5 
9.15 

9.17 

9.17 
9,17 

918 
9.18 


eo-«tit. 


9.964 
963 
963 
963 
963 
963 

9.963 
963 
963 
963 
963 
963 

9.963 
963 
963 
963 
963 
963 

9.963 
96a 
962 
962 
962 
962 

9.962 
962 
962 
96a 
962 
962 

9.962 
962 
962 
962 
962 
962 


9'°;9.962 

9'«^962 
922  ^- 

9.2a 

9-23 
9.23 
9.23 
925 

9-25 

927 
9.37 
9.28 
9.27 
9-3o 
9.30 
9.3«> 
9.32 
9.3a 
9.33 
9.33 
9.33 
9.35 
9.35 
9.37 
9.37 


co-aec. 


961 
961 
961 
961 

9.961 
961 
961 
961 
961 
961 

9.961 
961 
961 
961 
96, 
961 

9.961 
961 
960 
960 
960 
960 

9.960 


d.  l" 


oa6i 
9724 
9187 
865o 
8112 

7574 
7o36 

649f> 
5937 

5417 
4877 
4336 
3795 
3253 
2711 
2168 
1625 
1083 
o538 
9994 
9449 
8904 
8358 
7813 
7266 
6719 
6172 
5634 
5076 
4537 
3976 
3428 
2878 
2338 
177-7 

1226 

0674 
0122 
9569 
9016 

8463 

79*»9 

7355 

68o< 

6245 

56Py 

5i3j 

4576 

4o^<  > 

346^ 

o34f) 
178- 
1228 
0668 
0108 
9548 

8987 
8426 

7864 
73o2 


^ 


60 

5 

57 
56 
55 
54 
53 

52 

5i 
5o 
49 

48 
47 
46 

45 

44 
43 
42 

4i 
4o 

39 

3}i 

37 

36 
35 

34 
33 

32 

3r 

3v, 
29 
28 

27 
36 

25 
74 
23 


22 
21 

3f» 

•9 

18 

I 

16 

i4 
i3 

13 
I  I 

!(^ 

9 
8 

7 
6 

5 

4 


nn. 


113«> 


6G0 


LOGARITHMIC     SINES,     TANGENTS,     &€  . 


257 


240 


1550 


sin. 


did" 


n 

3 

4 
5 

6 

s\ 

9 
10 

II 

2 
i3 

r4 
i5 
16 

17 
18 

'9 
ao 

ai 

33 

a3 
34 

35 

26 
37 
28 
39 
3o 
3i 
3a 
33 
34 
35 


9.6093133  .^^ 
609  5960*^7.27 

6o9  88oi^7-^3 

61Q  i635^"7-'" 
610 4465  J7-;7 

610  7293  y-'^ 

.61  r  01  [817-08 


co-sec. 


47.05 
47.02 
46.97 


611  3941 
6f  I  5762 
611  8580i ,-  'j. 
613  1397^2-95 

6124211  j^r 

9.612  7023  j^«7 

6129833;^^°^ 

6i3  264il^S^? 
6i3  5446;f-75 

6i3825oJ^.73 

46.65 
46.62 

46.57 
46.55 
46.5o 


6i4  io5i 

9.614  385o 

6i46647 

6149441 
6i5  2234 

6r5  5o24i  y/j  . 
6i5  78i2J^J7 

9.616  o599ij5io 
616  338?  ^^f 

6i6  6i64fX,Z 

...A..  -„         46.33 

618  28091^2'^ 
6185576^^'" 

618  8341 

619  iio3 


46.08 
46.03 
46.02 


36  9.619  38641  ^c 
6i96622;'^^.97 


37 

38 
39 
4o 

4i 
^2 
43 

44 
45 
46 


630  2 1 32  He  T^ 


10.390  6867 
390403 1 
390  1 197 
389  8365 
389  5535 
389  2707 
I0.388  9882 
388  7059 
388  4238 
388  1420 
387  86f)3 
387  5789 
10.387  2977 
3870167 
386  7359 
386  4554 
386  1750 
385  8949 
io.385  6i5o 
385  3353 
385  0559 
384  7766 
384  4976 
384  2188 
1 0.3839401 
383  6618 
383  3836 
383  io56 
382  8379 
382  55o4 
10.382  2730 
38 1  9959 
38i  7191 
38 1  4424 
38 1  1659 
38o  8897 
io.38o6i36 
38o  3378 


tftn». 


dif.l" 


56.65 
56.63 
56.58 


9-648  5831 

648  9230 

649  2628 
6496<.23|^"-^ 

6499417^^-^^ 

650  28(J9'^"-^^ 

9.6506199 

650  9587 

65 1  2974 
65 1  6359 

65 1  9742 

652  3123 
9.652  65o3 

652  9881 

653  3257 

653  6631 
654<«>f»4 

654  3375 
9-654  6744 

655 01 12 

655  3477 

655  6841 

656  0204 

656  3564 
9-656  6923 

657  0280 

657  3636 
6576989 

658o34i 

658  3692 
9-658  7041 

659  o387 
659  3733 
659  7076 
6600418 
6603758 

9.660  7097 
661  0434 


co-tnng. 


tec. 


1 0.35 1  4169  10.039  ^^^ 


620  4884 


45.87 


620  76341^5.83 


962io382^^-»? 
62,  313711^^5 
62i587r|j^-73 

621  8612  j^-^? 
_  62ai35i'j^-^5 

47  622  4088  j^-^ 

48  9.622  6824*1??? 
^622  95571  j^?5 

623  2287!  jc^-^S 

633  5oi6iHf 

623  7743  fjl 

634  0468,  j^-42 
9  624  3,9oj^-^7 

624  59U  45.35 

624  8620' j5-^o 

625  1346,^^-^5 

625  4o6o,!^?-^3 
625  6772i45-Jo 

9.625  9483|4^-^8 


380062 2 J  6613769 


5i 

52 

53 
54 
55 
56 

57 
58 

59 
60 


co-tin. 


diCl' 


379  7868 
3795116 
379  2366 
10.3789618 
378  6873 
3784129 
378  1388 

3778649 
_  377  5912 

10.377  3 1 76 
377  0443 
3767713 
376  4984 
376  2257 
375  9532 

10.3756810 
375  4089 
375  1 37 1 
374  8654 
374  5940 
374  3228 

10.374  o5 1 7 


•ec. 


661  7io3 

662  0434 
6623765 

9.662  7093 

663  0420 
663  3745 

663  7069 
6640391 

664  37 1 1 
9.664  7o3o 

665  o346 
665  3662 
6656975 
6660388 
6663598 

9.6666907 
6670214 
6673519 
6676823 
6680126 
668  3426 

9.668  6725 


56.5o 
56.47 
56.45 
56.42 
56.38 
56.35 
56.33 
56. 3o 
56.27 
56.23 

56.22 

56.18 

56.15 

56.13 

56.o8 

56.07 

56.o5 

56,oo 

55.98 

55.95 

55.93 

5588 

55.87 

55-85 

55.82 

55.77 

55.77 
55.72 
55.70 
55.67 
55.65 
55.62 
55-58 
55.57 
55.52 
55.52 

55.47 
55.45 
55.42 
55.40 
55.37 
55.33 
55.32 
55.27 
55.27 
55.22 

55.22 

55.17 

55.15 
55.12 
55-08 
55.07 
55.05 
55.00 
54.98 


35 1  0770 
35f>  7373 
35o  3977 
35oo583 

3497191 
10.349  38<>! 
349<»4i3 
3487026 
348  3641 
348  02  58 

347(^77 
10.3473497 
347  <»i  19 
346  6743 
346  3369 
345  999<i 
345()()25 
10.345  3^56 
344  9888 
3446523 


d.  1' 


0393261 
039  3824 
039  4388 
039  4952 
0395516 
10.039  {)<  18 1 
039  6646 
<»39  72i2  ,. 
''^9  7778^5 

9-45 
9-47 


9-38 
9.38 
9.40 
9.40 
9.^0 
9.42 
9.42 
9-43 
43 


co-sm. 


<.39  8345  9- 


0398912 
10.0399480 
o4o<K>48 
o4ot»6i6 
o4o  1 1 85 
040  1754 
o4<»  2324 
10.040  2894 
o4<»  3465 
040  40  36 


V-47 
9-47 
9-48 
9.48 
9.50 
9.50 
9.52 
9.52 
9-52 


9.960  73o2 
960  6739 
9606176 
9605612 
960  5o48  : 
960  4484 ! 

9.960  3919 ! 

9603354' 
960  2788  i 
9602222  f 
960  i655  t 
960  1088J49 
9.960  o52o|48 


3443159!  o4o4f3o7^c3 
343979^)  o4«.5i79  9cr 
343  6436   o4o  5-5 2 19-^.* 


f  0.343  3o77 
342  9720 
342  6364 
342  3or  I 
34 1  9659 
341  63o8 

10.341  2959 
3409613 
340  6267 
34o  2924 
3399582 
339  6242 

10.3392903 
338  9566 
338  6231 
338  2897 
3379566 
337  6235 

10.337  2907 
336 -9580 
336  6255 
336  2931 


10.040  632  5j9i^^ 
04068989-^^ 
o4o  7472  ^•,; 
040  8046  9-^ 

040  8620  9-^7 
0409195 

10.0409771 

04 1  o347 
04 1  0923 
o4i  i5(X) 
o4i  2077 
o4i  2655 

io.o4i  3233 

o4f  38i2 

04 1  4391 

04  r  4970 

04 1  55 5o 

o4i  61 3 1 
io.o4i  6712 

04 1  7293 

04 1  7875 

04 1  8457 


co-tang. 


335  9609I   04 1  9039 
3356289J   o4i  9622 


9.58 

9.6* » 

9.60 

9.6f) 

9.62 

9.62 

9.63 

9.63 

9.65 

9-65 

9.65 

9.67 

9.68 

9.68 

9.68 

9.70 

9.70 

9.70 

9.72 


959  9952 
959  9384 
9598815 
95y  &j4( 
959  767(> 

9.959  7  It  »6 
959  6535 
959  59(14 
959  5393 
959  482 1 
959  4248 

9.959  36-5 
959  3!  02 
959  2528 
959  1 954 
959  i38o 


dif.1" 


10.335  2970 
334  9654 
334  6338 
334  3o25 
333  9712 
333  6402 

10.333  3093 
332  9786 
3326481 
332  3i77 
33 1  9874 
33 1  6574 

io.33i  3275 


9.73 


10.042  02fj6 

o42  079^>^  . 

042  l374|9-^r 

042  J9^9\llc 
042  2544|9'7^ 
o42  3i3o|9'77 

10.042  37i6j9'77 
042  43o3|9-7» 
042  489o|9-78 
042  5478|9-°^ 
042  6o66|9-^^ 
042  6654i9o^ 

10.042  7243  9-°2 


tang. 


co-sec. 


9^9  o8( 
9.9590229 
958  9653 
958  9077 
958  85oo 
958  7923 
958  7345 
9.958  6767 
9586188 
958  5609 
958  5o3o 
958  445o 
958  3869 
9.958  32fc8 
958  2707 
958  2125 
9581543 
958  0961 
-  3  958  0378 

a;^  9-9^7  9794 

9579210 
9^7  8626 
957  8o4i 
957  7456 
957  6870 

9.957  6284 
957  5697 
957  5i  10 
957  4522 
957  3934 
957  3346 

9.957  2757 


d.  I" 


sin. 


47 

46 

45 

44 

43 

4^ 

4t 

4o 

?9 

38 

37 

36 
35 

34 
33 

3> 

3 1 

3o 

29 

28 

27 
26 

25 

24 

23 
23 
21 
20 

19 
18 

17 
16 

i5 

i4 
i3 
12 
II 
10 

9 

8 

6 
5 
4 
3 
2 
I 


1140 


65° 


33 


m 


258 


LOGARITHMIC     SINES,     TANGENTS,    &C. 


aso 


HIIImi 


di£  1 ' 


45'i3 
45.10 
45.07 
45.o3 
45.00 

44^ 
44.a3 


9.625  94B3 
6963191 

0304897 
6267601 

4  627  o3a3 

5  6273003 

6  9^27  5701 

7  fe78397 

628  6473 1l!f 

62«9i6o''^-^ 
9-6291845 

639  4529 

6397211 

6399690 

63o  3568 

63o  5343 
9-6307917 

63i  0369 

63i  3258 

63i  5936 

63i85 


3732399 


I0w37a  4» 
37a  f6 
371  891 
371  6a  I 
371  3528 
371  0840 


tang. 


1037405179.6686725 
373  78ofl  669  0033 
3735io3(  6693310 


die 


I" 


669661 


3739697    6690906 
3726997     67o5i<77 


3icr7 

9.6706486 
670 


54-97 
54*93 
54.^ 
54.88 

54.85 
54.82 
54.80 


67^^60^-77 
6716345^-7^ 


m^axig. 


ioJ3i  3275 

33o  9977 
33o668i 


l*4<» 


■tJC* 


dif.  V> 


10.0427343 
0437832 
o4a8432 


33o3387   0429012 

33o  0094   0429603 

3296803   0430194 

10.3293514  io.o43o785 


6719628 
67a  2910 


10.37081559.6726100 
3705471  6729468 
3702789  6733745 
370  01 10  6736020 
3697432  6739294 
3694757  674  2566 
^^-  "T|9.674  5836 
6749105 
675  3372 
675  5638 
6758903 
6763165 


rao8. 

3686743 

3684074 
3681409 
3678745 


10.36760849^765436 

3673434  6768686 


634  3491 
634  5 1 37 

634  7780 

635  o4a2 
635  3o63 

9-635  5690 

635  8335  /^  ' 

636o969n3-9r 

636  3601 ''''•**7 

636  623 1 

6368850^^^ 

9-637  1484^23  7l 

637  4108^^-7^ 
6376731  ^-^^a 

6379351 

638  1969 
..  638  4585 
48  9'638  7i99 
'   6389812 

639  2422 

639  5o3o 
639 '7637 

640  0241 
9.640  2844 

6405445 
6408044 

641  o64o 
64i  3235 
64i  5838 

I9.641  8430 


3670767 
3668III 
366  5458 
3662806 


49 
5o 
5i 

Sa 

54 

jj 
56 

57 
58 

1 


44.in 

44'05 
44.o3 
44.0O 
43.95 
43.93 


43.83 
43.80 
43.75 


43.67 

43.63 

43.60 

43.57 

43.55 

43.5c 

43.47 

43.45 

43,40 

43.38 

43.35 

43.32 

43.27 

43.25 

43.22 

43. 30 


6771944 

677  520I 
6778456 

678  1709 


ctMin. 


10.366  01 56  9.678  496 
365  75og  6788211 
3654863  6791460 
365  3230  6794708 
3649578  6797953 
3646038  6801198 

I0.364  43019.6804440 
364i665  6807682 
363  9o3i  661 0921 
363  6399  681  4i6o 
3633769  6817396 
363  1 141  682  o632 

10.362  85ie  9.682  3865 
362  5892  683  7098 
3633269  683o328 
3620649  683  3557 
36i8o3i  683  6785 
36i  54i5  6640011 

10.361  2801  9.6843236 
36ioi88  684645© 
3607578  "-■   - 
36o497o| 
36o2363 


di£l" 


359  9759 
10.3597156 
359  4555 
359  io56 
3589J60 
3586765 
358417a 
10.3581 58o 


aec. 


6849681 
685  2901 
6856i3o 
685  9338 

9.686  3553 
6865768 
6868981 
687  3193 
687  5402 
6878611 

9.688  1818 


Go-tanf. 


.75 

54.7a 
54.70 

54.67 
54.63 

54.62 
54.58 

54.57 
54.53 
54. 5o 
54.48 
54.45 

54.43 
54.37 
54.35 
54.33 
54. 3o 
54.38 
54.25 

54-32 

54.20 

54.17 

54.1 5 

54.13 

54.08 

54.08 

54.o3 

54.o3 

53.98 

53.98 

53.93 

53.93 

53.88 

53.88 

53.83 

53.82 

53.80 

53.77 

53.75 

53.72 

53.70 

53.67 

53.65 

53.63 

53.58 

53.58 

53.55 


3200236 

3ao694o 
3a8  3655 

328  0372 
3277090 
10.327  38 10 

3a7  o533 
3267255 
326  3980 
3360706 


10.335  4»64 
3350895 
324  7628 


043 1 377 
043 1 
0432 
0433 I 56 
0433750 

10*434344 
0434939 
0435534 
04361 3o 
0436736 


325  7434   0437322 

10.0437919 

o4385i7 

©4391 14 


3244362  0439713 
324  1097)  o44o3i  I 

3237835  0440911 
10.3234574  »o.o44i5io 

333i3i4  0442110 

322  8o56  0442711 

3224799  o4433i3 

322  1 544  0443913 


331  8201 

10.32 1  5039 

321  1789 
320  854o 

!  320  5393 
330  3o47 
3198802 

10.3195560 
3io23i8 
3189079 


04445 1 5 
10.0445 1 18 
0445720 
0446324 
0446027 
044753 1 
o448i36 
10.0448741 
0449347 
0449953 


3i8  584o   0450559 


)3.52 
53.5o! 
53.48 
5345 


dif.i 


3i8a6o4 
3179368 

10.3176135 
3l7  2902 
3169672 
3 16  6443 
3i6  32i5 

^??9;9 
io.3i5  6764 

3i  53541 
3i5o3i9 
3147009 
3i4  388o 
3i4o663 

10.3 137447 
3i3  4232 
3i3  1019 
3127808 
3124598 
3i3  1389 

io.3ii  8182 


t«nf. 


o45ii66 
0451773 

io.o45238i 
0452989 
0453598 
0454207 
0454816 
0455426 

io.o456f>37 
©456648 
0457269 
0457871 
0458483 
0459096 

10.0459709 
o46o323 
0460937 
o46i552 
0462167 
0462782 


9.82 
9-83 
9-83 
9-85 
9.85 
9.85 
9.87 
9.88 
9188 
9.88 
9.90 
9.90 
9.90 
9.92 

993 
9.93 
9.95 

997 

9.95 

9.98 
9.9 

10.00 
9.98 

lo.oo 

10.02 
10.02 
10.02 

io.o3 

io.o5 

io.o3 

10.07 

io.o5 

10.07 

10.08 

10.08 

10.10 

10.10 

10.10 

10.12 

10.12 

io.i3 

10  1 3 

io.i5 

10. 1 5 

io.i5 

10.17 

10.18 


e»-«n. 


60 


57 

56 
55 


53 

52 

5i 

5o 

049 

545 

47 

46 

45 

U 
^^ 
4i 
41 
4c^ 
3 


9-9572757 
9572168 
9571578 
9570088 
9570397 
9569606  __ 

9.9569215  54 
9568633  " 
9568o3o 
9567437 
9566844 
9566250 
99565656 
9565o6t 
9564466 
9563870 
9663374 
9562678 
919565081 
956 I 483 
9560886 
9560287 
9559()89 
9559089 
9.9558490 

9557800 

9557289 

9556688 

9556«87 

9555485 
9.9554882 

9554280 

9553676 

9553073 

9552469 

9551864 
9.9551259 

9550653 

9550047 

9549441 

954«834 

9548227 
9.9547619 

9547011 

9546402 

9545793 

9545184 

9544574 


io!I8  9-9543q63 


9543352 

9543741 
9542  f  29 
9541517 
9540904 


10.18 
10.20 

10. 30 
I0.33 
10.32^'-.  '  ■ 

io.239?54o29. 

10.23 


10.35 
ioa5 

10.25 


9539677 
9539063 

9538448 
9537833 
9537218 


T^^,oio37    9*^7210 
10.0463398 '**-'7^^535g^2 


co^rec. 


dif,  1" 


37 
36 
35 

34 
^3 

32 

3i 
3o 

\l 

27 
26 

25 

24 

23 
32 
21 

20 
19 

rS 
17 
16 
i5 
i4 

12 
ir 
10 

9 

8 

7 
6 

5 
4 
3 
2 
1 
o 


1150 


■lU. 


640 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


259 


300 


o 
I 
2 

3 

4 
5 
6 

7 
8 

9 
10 

II 

(2 

i3 

14 
i5 
16 

n 
18 
19 
20 
21 

32 
23 

24 
25 

26 

27 
28 

30' 

3i 

32 

33 

34 
35 
36 

37 

38 

39 

4o 

4i 

4^ 

43 

M 
45 
46 

47 
48 

t 

5i 

52 

53 

54 
55 
56 

57 
58 

59 
60 


•in. 


9.641  8420 
643  1009 


643  3596 
643  6183 


642  8765 

643  1 347 
9643  3926 

643  65o4 
6439080 

644  i654 
644  4226 

644  6796 
9-644  9365 

645  1931 
6454496 

645  705 
645961 

646  217 
9-646  4735 

646  7290 

646  9844 

647  2395 
647  4945 

647  7492 
9.648  oo38 

648  2582 

648  5124 

648  7665 

649  02o3 
649  2740 

9649  5274 

649  7807 

650  o338 
65o  2868 
65o  5395 

650  7930 
9  65 1  0444 

65 1  2966 

65 1  5486 

65i8oo4 

652  o52i 
652  3o35 

9652  5548 

652  8059 
653*0568 

653  3o75 
653  558 1 

653  8o84 
9-654  o586 

654  3o86 

654  5584 
6548081 

655  0575 
655  3o68 

9655  5559 

655  8048 

656  o536 
656  3o2 1 
656  55o5 
6567987 

9.657  o468 


di£  I" 


43.15 
43.12 
43.10 
43.o5 
43.o3 
42.98 
42.97 
42.93 
43.00 
42.87 
42.83 
42.82 

42.77 

42.75 

42.70 

42.68 

42.65 

42.62 

42.58 

42.57 

42.52 

4a.  5o 

43.45 

42.43 

42.40 

42.37 

42.35 

42.3o 

42.28 

42.23 

42.22 

42.18 

42.17 

42.12 
42.08 
42.07 

42  .o3 
43.00 

41.97 

41.95 

41.90 

4i.88 

41.85 

41.82 

41.78 

41.77 

41.72 

41.70 

41.67 

4 1. 63 

4 1  62 

41.57 

41.55 

4i.52 

4 1-48 

41.47 
41.42 
4 1.40 
41.37 
41.35 


o»4ec. 


10.358  15809.688  1818 


3578991 
357  64o4 
3573818 
3571235 
3568653 
10.3566074 
3563496 
3560920 
355  8346 
355  5774 


taaf. 


355  32o4  691  7000 


10.355  o635 
354  8069 
354  55o4 
354  2942 
354o38i 
353  7822 

10.353  5265 
353  2710 
353oi56 
352  7605 
352  5o55 
352  25o8 

io.35i  9962 
35i  7418 
35i  4876 
35 1  2335 
35o  9797 
35o  7260 


688  5o23 
6888227 

689  i43o 

689  4631 
6897831 

9690  io3o 
6904226 

690  7422 

691  0616 
691  3809 


diCl" 


9.692018 
692  337 
692  6565 

692  97  5o 

693  2934 
6936117 

9  693  9298 

694  2478 

694  5656 
6948833 

695  200 

695  5r8 
9.695  8355 

696  1 527 
6964697 

696  7865 

697  io32 

6974198 


o.35o  4726J9.697  7363 
3502193  6980626 
349  9662  698  3687 
3497133  6986847 
349  46o5  699  0006 
3493080  6993164 
10.348  9556  9.699  6320 
348  7034  699  9474 
348  45i4 
348  1996 

347  9479 

347  696.5 

10.347  4452 

347  1 94 1 


346  9432 
346  6925 

3464419 
346  1916 


10.34594149-7034086 


700  2628 
700  5780 

700  8930 

701  2080 
9.701  5227 

701  8374 

702  i5i9 
70a  4663 

702  7805 

703  0946 


co-ain. 


dif.!" 


345  6914 
345  4416 
345  1919 
344  9425 
344  6932 

10.344  444i 
344  1962 
343  9464 
343  6979 
3434495 
3432013 

io.34a  9532 


703  7225 

704  o362 
704  3497 
704  66  J  2 

704  9765 
9.705  2897 

705  6027 
7059166 

706  2284 
706  54io 
706  8535 

9.707  1669 


MC 


53.42 
53.40 

53.38 
53.35 
53.33 
53.32 
53.27 
53.27 
53.23 

53.22 

53.18 

53.15 

53.15 

53.12 

53.08 

53.07 

53.05 

53.02 

53.00 

52.97 

52.96 

52.93 

62.90 

52.87 

52.87 

52.83 

62.80 

52.78 

63.77 

53.75 

62.72 

62.68 

62.67 

62.66 

62.63 

62.60 

62.67 

62.67 

62.53 

62.50 

52.5o 

62.45 

62.45 

62.42 

62.40 

62.37 

52.35 

62.33 

62.32 

62.28 

52.25 

62.26 
62.22 
52.20 
52.17 
52. i5 
52.i3 
5a. 10 
62.08 
62.07 


1530 


eo-taug. 


co-taag. 


dif.l' 


10.3 1 1  8i8a 
3ii  4977 
3ii  1773 
3108670 
3io  5369 
3102169 

10.309  8970 
309  6774 
309  2678 
3o8  9384 
3086191 
3o8  3ooo 

10.3079811 
3076622 
307  3436 
307  02  5o 
3067066 
3o6  3883 

10.3060702 
3o5  7622 
3o5  4344 
3o5  1 1 67 
3o4  7991 

3o4  48i7 

io.3o4  1645 
3o3  8473 
3o3  53o3 
3o3  21 35 
3o2  8968 
3o2  6803 

io.3o2  2637 
3oi  9474 
3oi  63 1 3 
3oi  3 1 63 
3009994 
3oo6836 

io.3oo  368o 
3oo  0626 
299  7372 
299  4220 
299  1070 
298  7920 

10.298  4773 
298  1626 
2978481 
297  5337 
297  2196 
2969054 

10.2965914 
296  2775 
296  9638 
296  66o3 

295  3368 

296  0235 
10.2947103 

294  3973 

3940844 
3937716 
293  4590 
293  1 465 
10.292  834i 


■ec. 


tang. 


10.0463398 
0464016 
o46463i 
0466249 
0465866 
0466486 

10.0467103 
0467722 
©468342 
0468962 
0469682 
o47o2o3 

10.0470826 

0471447 
0472069 
0472693 
04733 I 5 
0473939 
I0.0474563 
0476187 
0476812 
0476438 
0477064 
0477690 
1 0.04783 17 
0478945 
0479672 
©480201 
©480829 
0481459 
10.0482088 
0482718 
©483349 
0483980 
0484611 
0486243 
10.0486876 
©4865o8 
©487143 
©487776 
©4884 I© 
©489044 
ro.0489680 
o49©3i5 
0490961 
0491588 
©492226 
0492862 
10.0493500 
©494139 

©494777 
©496417 
©496066 
0496697 
I  ©.©497337 

0497978 
©498620 
©499262 
0499906 
o5oo548 
10.0501191 


diCl" 


co-«in. 


10.28  9-9536602 
9635o85 


co-aec. 


10.27 
io.3o 
10.28 

I0.32 

io.3o 
10.32 
10.33 
10.33 
10.33 
10.35 
10.37 
10.37 
10.37 
10.38 
10.38 
I  ©.40 
10.4© 
I  ©.4© 
10.42 
10.43 
10.43 
10.43 
10.45 

10.47 
i©.45 
10.48 

10.47 
io.5o 

10.48 
io.5o 

1©.52 
1©.52 
l©.52 

I  ©.53 

10.55 

10.53 

10.67 

10.67 

10.67 

10.57 

10.60 

10.58 

10.60 

10.62 

10.62 

10.62 

I0.63 

i©.65 

I  ©.63 

I  ©.67 

10.66 

10.68 

10.67 

10.68 

10.70 

10.70 

10.72 

10.72 

10.7a 


60 
59 


di£  I" 


9535369  58 
9534761  57 
9534134 
9533516 
9.9532897 
9532278 
9531668 
9531 ©38 
95304 1 8 
9629797 
9.9629176 
9528553 
9627931 
9627308 
9626686 
9626061 
9.9626437 
9624813 
9624188 
962356 
9622936 
9622310 
9.9621683 

9621055 

9620428 

9619799  33 

9619171 

9618641 
9.9517912 

9617282 

9616661 

9616020 

9516389 

961475 
9.9614124 

9613492 

9612868 

9612224 

9611690 

9610956 
9.9610320 

9609686 

95©9©49 

9608412 

9607776 

9607138 
9.9606600 

960686 

9606223 

9604683 

9603944 

96o33o3 
9.9602663 

9603022 

9601380 

9600738 

9500096 

9499452 
9.9498809 


am. 


56 
55 

64 
53 
62 
5t 
5o 

4 

47 

A^^ 

45 

A4 

43 

42 

41 

4© 

39I 

38 

37 
36 
36 
34 


32 

3i 
3o 
29 
28 

27 
26 
26 
24 

23 
22 
21 
20 
19 
18 

17 
16 

i5 
i4 
i3 
12 
11 
10 

9 
8 

7 
6 


4 
3 
2 
I 


ll«o 


«30 


260 


LOGABITHMIC     SINKS,     TANGENTS,     <&c. 


%T> 


■ill. 


dif.1" 


4i*3o 
4i.a8 


0(9.657  c»468 

6572946 

657  5433  2  -^^ 
6577898H  -^5 

658  0371 H" 
658a843^''^*' 

6|9.658  53i2 
6587780 

6590146 
6593710 
6595173 

659  7633 
.660  CK193 
fyfyo  25fc 

660  5(x>5 
'«k»  7459 

660  99 1 1 
66.  236i 

9-66i48ioL_    o 
•661  jiSjlt'^l 

661  97o^|f -75 

ri63.,45:j^-7^ 

662  4586|i°-r 
■662  7016  f'^l 

663  i9oo;l"i'2 

663  4335 1"-^? 

66^91991" 

664  t628\f-f 

96644o56l"-^^ 
664  6483  ff 

665 


ci^aitc. 


4i.i7 

4i-i3 

4i.to 

41.07 

4i.o5 

4 1. 00 

4i.oo 

40.95 

40.93 

4o-oo 

4o.«7 

40-83 

40.82 


665  3749^-1^ 

665  6,6?if-^^' 

9-665  8586  i"-^" 

666  1 00 1 7*- '5 

6f»6  34i5l*^^^ 


io.34a  9532 
34a  7054 
34a  4577 
34a  210a 
34 1  9630 
34i  71 58 

10.341  4688 

341  3330 

340  97,54 
340  7290 
3404827 

340  3367 

0.3399907 
339  745o 

3I94095 
3393541 
3390089 
338  763f 
10.3385190 
338  3743 
338  03 
33;  78^5 
337  54i4 
337  2974 
10.337  o536 
336  8 1  (X) 
336  5665 
336  3232 
336  0801 
335  8373 


dif.  I"   eo-tanf. 


•0.33559449.7164767 


9-7071659,  ^ 

7074781  c  ** 

707  790a  ^^" 

708  I023 

7084141 

708  7258 
9-7090374 

709  3488 
7096601 
7099713 
7103834 
7105933 

9-7 1 0904 1 

7'i  3148 

711  5a54 

711  8358 

71a  i46t 

7134562 
9.7127662 

7130761 

71 3  3859 

7136956 

7*4oo5i  -  . 
7i43i45^;-^^ 

9-7i46237^;'^^ 

7153419?  2 
7i5  55o8?'if 


.02 

52.00 

51.98 

51.95 

51.93 

51.90 

5 1. 88 

51.87 

5 1. 85 

51.82 

5t.8o 

51.78 

5 1. 77 

51.73 

51.72 

5i.68 

51.67 

5 1. 65 

5 1, 63 

51.63 

51.58 


152^ 


■ec. 


10.293  834 » 
3935219 
392  2098 
291  8978 
391  5859 
a9i  2742 


io.o5oiioi 

o5oi835 
o5o2479 
o5o3i34 
o5o377o 
o5o44i5 


dif  1" 


10.290962610.0505062 

3906512   o5o57o8 
2903309   o5o6355 
aoo  0387 
3897176 


3894067 
10.3890059 


715  8595 

716  1683 


666  5838 


4o.32 


666  8238'f-'''^ 
667o6i^'r-'5 

9.66-3.v54i''-'2 

667  5459:  i'*-'"^ 

667  7063*  j°-^^ 

^66'Ho265;7'-°^ 
fi/RR  •^iVi';''***'00 

668  5o64'''a^9? 
'?9-95 

66^4643  3^_g3 


7167851 

7*70933 

7»7  4oi4 

7'7  7094 

7*80173 

9  7'8  325i 

7>8  6337i? 
..0  _  y_  :n 


9-668  746.  ;'g-9^ 


6689856 

000  j'^HjWD^ 


335  35i8 
335  1094 
3348671 
334  6351 
334  3833 
10.334  1 4 14 
333  8999 

3336585 
3334173 

333  1763 

332  0353  ,.^.,..„, 
to.332  6946  9.720  ifxp  * 
332  454 1 

332  2 1 37 
33 1  9735 
33 1  7335 
33.  49361 


51-45 
51.45 
51.43 
5 1.40 

51.37 
51.35 
51.33 
5 1. 32 
5i.3o 

51.27 

a5 


7189402^-^5      281 

719*476,  ,::'   -" 

7'9  5549r-Js 
7198620'^'*'** 


:>i.i5 


ii°i2^<:,3 


730  7837 
7310893 
721  3958 


39.90 

39.87 


660  7032 

1.670  i8o7:^rZr 


39.80 


9.670  IWJ7.,'  _e 

67o4r9ag-^5 

670  6576X9*7"^ 

|57    670  8958  g-70^ 

I69I  671  3716  :J9-2^ 
K9.671  6o93j^9-6=^ 


5 1. 10 

5r.o8 

,    731  7022'?' •'^^ 

io.33i  2539J9.7220085?'  , 

33i  oi44  722  3 147*2 '^'"^ 

33o775o  -■*•»•'= — i^'*' 

33o  5358 

33o  3968 

33oo58o 
10.3298193 

329  58o8 

339  34a4 

329  1042 

328  8662 

328  6384 
10.338  3907 


733  9266  f^  v° 

723  2  324f  VJ 

733  538i^°-95 

9-72.3  8436  5«-9^ 


co-sin.   idif.  r 


734  4543 

724  7595 

725  0646 

735  3695  ^°-*'^ 

9-725  6744'^'®^ 


50.87 
50.85 
5o.83 


a88 

388  47 
288  1643 
287  853 
287  543 
10.287  2338 
286  9239 
286  61 4 1 
286  3o44 
285  9949 
285  6855 
10. 285  3763 
2850671 
284  7581 
284  4493 
284  i4o5 
a83  83i8 
10.383  5333 
a83  3.49 
383  9067 
3835986 
282  2006 
a8i  9827 
io.a8i  6749 
a8i  3673 
381  0598 
a8o  7524 
280445 1 
a8o  .  38o 
10.37983.0 
2795241 
2792173 
278  9107 
2786042 
278  2978 
10.37799.5 
377  6853 
377  3793 
277  0734 
3767676 
2764619 
10.3761564 
375  85.0 
275  5457 
375  a4o5 
274  9354 
374  63o5 
10.374  3256 


10.73 
10.73 
10.75 
10.77 
10.75 
1 0.78] 
10.77 
10.78 

o5o7oo3|;f-2^ 
o5o765.  ^S^ 
o5o83<x)  •"•''^ 
10.0508949 
0509598 
o5io248 
0510899 
o5ii5.5o 

05f23OI 

io.o5i3853 
o5i35<>5 
o5i4i58 
o5i48ii 
o5i5465 
o5i6i.o 

ro.05.6773  '"^o 
0517428  .  92 

o5i8<j84  ^^•^- 
o5i874o 
0519396 
o5ioo53 

f0.o5207II 

o53 1 369 

0532037 

0523686 

0523345 

o5j4oo5 
10.0534665 

0535326 

0525987 

0526648 

o5273ii| 

o52-'97  3 
I0.0538636  .'!\"5 

0539300 

0529964 

0530628 

053.293 

o53io58 


co-Bin- 


60 

5? 


10.0532624 


T 
'62 


0533290 

o533o57 
0534634 
0535392 
0535960 

10.0536629 
0537298 
0537968 
0538638 
0539308 
0539979 

io.o54o65i 


*>«•        I    m4ang,    diCl"        tang. 


co-aec. 


llt« 


diCl" 


9.9498800 
9498165 
9497521 
949687657 
9496230156 
I  9495585 
19-9494938 
9494  5  9:;* 
9493645 
9492997 
949:^349 
9491700 
9949105 1 
9490403 
9489752 
9489.0. 
9488450 

9487799 
9.9487147 

9486495 

948584? 

9485.89 

9484535 

948388. 
9-9483227 

9482572 

9481916 

948i?6<'» 

9480604 

9479947 
9-9479289 
947863. 
9477973 
94773.4 
9476655 
9475995 
9-9475335 
9474674 
94740.3 
94-^3352 
9472689 
9472027 
9  9471364 
9470-00 
9470O36 
9469372 
9468707 
9468042 
9.9467376 
9466710 

946604  i 

9465376 

9464708 

9464040 
9946337. 

9463702 

9462032 

9461362 

9460692 

9460021 
9.9459349 


620 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


261 


280 


o 
I 
2 
3 

4 
5 
6 

7 
8 

9 

10 

II 

13 

.3 
t4 
.5 
16 

17 
.8 

'9 
20 

21 

22 

23 

24 

25 

26 


■in. 


1510 


dif.!" 


27 
28 

L' 

3. 

32 

33 

34 
35 
B'l 
37 
38 

39 

40 

4i 
4> 
43 
44 
45 
4(> 

47 

48 

49 
5o 
5. 
5? 
53 

54 
55 

56 

57 
58 

59 
60 


9.671  6093  ,    ^a 
6718468^9-58 

672084.^9-^5 
67232.3^9-53 
673  5583  ^9-5o 

672  7952  p'f 
9.67303.939-45 

673  2684  ^9-^^ 

^^^  ^"-^7  3o  37 
673  7409  Ml 

673  9769  ^9-33 

674  31 2239-33 

9  674  4485  ^9-^8 
6746840^9-^5 

674  9194  ^9-'3 

675.546  39-^« 
6753896^9-7 

675624559-^5 

9.675  8592  59- '2 
676  0937  ?9'>8 

676  328.  3907 
676  5623  ^9-o3 

676  703  .^9-^» 
677o3o2,*^-98 

9 677  2640 llll 

677  4975  ^^-9^ 
6777309^8-90 

677  9642  im 

678  1072  nil 
6784301  3^-8^ 

9-678  6629  38-80 
fi^a  Q^cc  38.77 


co^ec 


679  59^3 '^f 


38.68 

679  8243  ll^l 
9.680  o56o -^J-J'' 

680  2877, X?' 
6805,9.38-57 

680750438-55 
680  9816  5j-53 

68.  2.26',38-5« 

9.'^8.  44341^21^ 
68.  6741  ^^-45 

68;?^io3': 

082  1349,0  ,^ 
682  365.  mi 

682  5952  lll^ 
9-682  8250^8.30 

683o548^8.io 

683  2843 
683  5i37 
683  743o 

683  9720 
9.684  20  ro 

684  4297 
6846583 

684  8868 
685i.5i 

685  3432 
9-685  5712 


38.25 
38.23 

38.22 

38.17 
38.17 
38.12 
38. 10 
38.08 
38.05 
38 .02 
38.0O 


co-Bin. 


diCl" 


10.328  3907 
3281532 
3379159 
327  0787 

3274417 

327  2o48 

10.3269681 

32673.6 

326  4953 

336  2501 

32602JI 
325  7872 

I0.325  55.5 
325  3.60 
325  0806 
324  8454 
3246104 
334  3755 

10.324  i4o8 
323  9r>63 
3236719 
323  4377 
323  3o37 
322  9698 

10.322  7360 
322  5o25 

322  2691 

323  o358 
32  .  8028 
321  5699 

0.321  3371 
32.  1045 
320872. 
320  6398 
320  4077 
320  .757 
10.3.99440 
3197.33 
3.94809 
3.9  2496 
3.90.84 

3.87874 

10.3 18  5566 
3i8  3259 
3180954 
3i7  865i 
3 1 7  6349 
3i7  4o48 

10.3.7  1750 
3.69452 
3.6  7.57 
3.6  4863 
3i6  2570 
3.60280 

1 0.3 1 5  7990 
3 1 5  5703 
3i5  3417 
3i5  ii32 
3i4  8849 
3.4  6568 

10.3144288 


t&n^. 


dif.l" 


9.725  6744 
735  9791 
726  2837 
726  588. 

726  8925 

727  1967 
9.727  5oo8 

727  8o48 
728,087^^-^^ 
738  4.24  g-^^ 

?2o^;^5o:58 

72901961;  C 

9.729  323o  ^^-^^ 
729  6263 

729  9295 

730  2325 


co-tang. 


50.78 

50.77 
50.73 

50.73 
50.70 
5o.68 
50.67 
50.65 


sec. 


5o.55 
50.53 
5o.5o 

73o  5354'^-^? 

-,2^M2«2  JO.40 

5o.45 


aee. 


730  8383 

9.731  i4io 
73.  4436 

73 1  7460 

732  o484 
732  35o6 

732  6527 

9.732  9547 

733  3566 
733  5584 

733  860  f 

734  1616 

734  463.  '"• 

9.7347644!^^-'' 
735o656  5o-^« 

735  3667^^" 
735  6677 

735  9685'^"- •' 

736  3693 1 2°-^^ 
9-736  5699  ^° 

736  8705 

737  1709 
737471a 
7377714 
73807.5 

9-738  3714 
7386713 
7389710 
739  2707 

739  5702 
7398696 

9.740  .689 

740  468 1 

740  7672 

74 1  0662 
74 1  365o 

74 1  6638 

9.741  9624 

742  2609 
74a  5594 

743  8577 
743  1559 

743  4540 

9.743  7520 


50.43 

5o.4o 
5o.4o 
5o.37 
5o.35 
50.33 
5o.32 
5o.3o 
5o.38 
5o.25 
5o.25 


5o.i7 
5o.i3 
i3 
..o 
5o.fo 

5o.07 

5o-o5 
5oo3 
5o-o2 

4998 
4998 
4995 

4995 
4992 
4990 
49-88 
49.87 
49-85 
49-83 
4980 
4980 
49-77 
49-75 
49-75 
49.7  a 
49.70 
49-68 
49.67 


co-tang. 


diCl" 


10.274  3356 
374  0209 
273  7163 
27341 19 
273  1075 
372  8o33 
10.272  4992 
272  1952 
271  89.3 
271  5876 
271  2839 
270  9804 
10.2706770 
270  3737 
270  0705 
269  7675 
269  4646 
369  .6.7 
10.268  8590 
268  5564 
268  2540 
26795.6 
267  6494 
267  3473 
10.2670453 
366  7434 
2664416 
366  1399 
265  8384 
265  5369 
10.265  2356 
364  9344 
264  6333 
264  332  3 
264  o3 1 5 
263  73o7 
10.263  43oi 
263  .295 
362  8291 
262  5288 
262  2286 
261  9285 
10.26.  6286 
261  3287 
261  0290 
260  7293 
260  4298 
260  1 3o4 
10.25983.1 
3595319 
3.59  2328 
258  9338 
358  635o 
258  3362 
10.258  0376 
257  7391 
257  44o6 
257  .423 

256  8441 

256  5460 

10.256  3480 


dif.  I'- 


ll.30 
II. 30 
11.22 
11.22 
11.23 
11.25 
I  1.23 

11.27 

11.25 
IF. 27 

11.28 
11.28 

1 1 .3( 
ii.3o 

.1.32 
I  I  .32 
11.32 

11.33 
11.35 
11.-33 
11.37 
11. 37 
11.37 


tang. 


io.o54o65. 

o54i323 

o54] 995 

0542668 

0543341 

o544o.5 
10.0544690 

0545364 

o546o4o 

05467 . 5 

054739.1 

o548o68l 
10.0548745 

0549423 

o55o.o. 

0550780 

055.459 

o552i38 
io.o5528i8 

0553499 

0554179 

o55486i 

0555543 

o556225|"-^^ 
10.0556908  '^■''8 

055759. 

0558275 

0558959 

0559644 

o56o329 
io.o56.oi5 
o56i7o. 
0562388 
o563o75 
0563762 
o56445 I 
fo.o565.39 
0565828 
o5665i8 
0567208 
0567898 
0568589 
1 0.0569"  3ii 
0569972 
0570665 
0571357 
o572o5 1 
0572745 
10.0573439 
o574i34 
0574829 
0575524 
0576221 
0576917 
10.0577614 
05783 12 
0579010 
0579709 
o58o4o8 
o58i 107 
io.o58i8o7 


9.9459349'6o 


co-«]n. 


co-sec. 


II  38 

H.40 

1 1.40 

11.42 

11.42 

11.43 

11.43 

11.45 

■11.45 

11.45 

11.48 

11.47 

11.48 
ii.So 
11. 5o 
ii.5o 
11.5? 
1 1.52 
.1.53 
11.55 
11.53 

11.57 

11.57 

11.57 
11.58 
11.58 
11.58 
11.62 
11.60 
11.62 
11-63 
.1.63 
11.65 
11.65 
II  65 
11^ 


diCl" 


9458677 
9458005 
9457332 
9456659 
9455985 
9.94553.0 
9454636 
9453960 
9453285 
9452609 
9451932 
9.9451255 
945o577 
9449899 
9449220 
944854 
9447862 
9.9447182 
9446 5o. 
944582 1 
9445139 
944445- 
9443775 
9.9443092 
9442409 
9441725 
944104. 
944o356 
943967 . 
9.9438985 
9438299 
9437612 
9436925 
9436238 
9435549 
9.9434861 
9434172 
9433482 
9432792 
9432102 
943.411 
9.9430720 
9430028 
9429335 
9428643 

9427949 
9427355 

9.9426561 
9425866 
942517 
9424476 
9423779 
9423o83 

9.9422386 
9431688 
9420990 
942029. 
9419592 
9418893 

9.9418193 


5^ 
58 

57 
56 
55 
54 
53 

52 

5. 
5o 

49 

48 

47 

46 

45 

44 

43 

4a 

4t 

4o 

139 

38 

37 

3( 

35 

34 

33 

32 

3. 
3o 
29 
28 

27 
26 
25 

24 

23 

22 

2. 

20 

19 

18 

I 

16 

i5 

i4 
i3 
12 
II 
10 

I 

1 
6 
5 
4 


BIO. 


US'* 


610 


262 


L06AEITHMIC     SINES,     TANGENTS,     &C. 


W^ 


150° 


•in. 


o 

I 
9 

3 

4 

5 
6 

7 
8 

91 

lo 

II 

12 

t3 

i4 
1 5 
i6 
17 
i8 
19 
20 
ai 
a3 


diC  1' 


9.6855712 
^5  7991 
686  0267 

686  a54^ 
6864816 
6867088 

9.686  9359 

687  i6a8 
6873895 
687616 

687  8425 
6880688 

9.688  2949 

688  5209 
688  7467 

688  9723 

689  1978 
6894232 

9-689  6484 
689  8734 
6900983 
6903231 

1—  690  5476 
6907721 
.  9.690  9964 

25   691  22o5 

26  6914445 

27  691  6683 

28  691  8919 
39  692  r  1 55 

30  9.692  3388 

3 1  692  5620 

32  6927851 

33  6930080 

34  693  23(>8 

35  6934534 

36  9693  6758 

37  6938981 

38  694  i2o3 

39  694  3423 

40  6945642 
4i  694  7859 

42  9.695  0074 

43  6952288 

44  695  45oi 

45  6956712 

46  695  8922 

47  6961130 
4896963336 

49  6965541 

50  696  7745 
5i  696  9947 
5a  697  2148 

53  697  4347 

54  9-^97  6545 

55  6978741  ^,^„ 

56  6980936^-^° 

^  ^c'!? 36.53 


37.98 
37.93 
37.92 
37.Q0 

37.87 
37.85 
37.82 

37.78 
37.77 

37.73 
37.72 
37.68 
37.67 
37.63 
37.60 
37-58 
37.57 
37.53 
37.50 
37.48 

37,47 
37.42 
37.4a 
37.38 

'J  /  **^^ 

37,33 

37,30 

37.27 

37.27 

37.2a 

37.20 

37.18 

37.15 

37.13 

37.10 

37.07 

37.05 

37.03 

37.00 

36.98 

36.95 

36-95 

36.90 

36.88 

36.85 

36-83 

36.8o 

36.77 
36.75 
36.73 
36.70 
36.68 
36.65 
36.63 
36.6o 
36.58 


li*U"^t?l»» 


10.31442889.7437520 
3142009  7440499 
3i3  9733  7443476 
3i3  7458  7446453 
3i3  5i84  7449428 
■  3i3  2^12  745  24o3 

10.3 1 3  0641  9.7455.376 


tuut* 


dif.l" 


312837a 
3i  26105 
3i2  3830 
3i2  1573 
3ii  93i2 

io.3ii  7o5i 
3ir  4791 
3ii  2533 
3ii  0277 
3io8oa2 
3 10  5768 

io.3io35i6 
3io  1266 
3099017 
309  6769 

3094524 
309  2279 


10. 


.^  6985331 

59  698751 1 

9.698  9700 


60 


eo-«an.   di£  1 


36. 5o 
36.48 


3o 

308  5555 
3o8  33i7 
3o8  io8f 
3o7  8845 

10.3076613 
3f»7  438o 
3o7  2149 
3069920 
3067692 
3o6  5466 

io.3o6  3242 
3o6  1019 
3o5  8797 
3o5  6577 
3o5  4358 
3o5  2i4i 

io.3o4  9926 

3o477i2 
3045499 
3o4  3a88 
3o4  1078 
3o3  8870 

io.3o3  6664 
3o3  4459 
3o3  2255 
3o3  oo53 
3o2  7852 
3o2  5653 

io.3o2  3455 
3o2  1259 
3oi  9064 
3oi  6871 
3oi  4679 
3oi  2489 

io.3oi  o3oo 


745  8349 

746  1 3  20 
746  4290 

746  7339 

747  0237 
.747  3194 

747  6100 
7479125 

748  3089 
748  5o52 

748  801 3 
9.749  0974 

749  3934 
749  6892 

749  9850 

750  2806 

750  5762 
oo36J9,75o87i6 
7"'95|  75i  1669 

75 1  4632 
75i  7573 

752  o523 

752  3472 
9.752  6420 

7529368 

753  a3i4 
753  5259 

753  8203 

754  1 1 46 
9.754  4088 

754  7029 
7549969 

755  2008 
755  5846 

755  8783 
9.756  1718 

756  4653 

756  7587 

757  o52o  ,f.  „ 

757  34521^2  ?Z 

757  6383 

9.7579313 

758  2242 
7585170 

758  8096 

759  1022 

759  3o47 
9.7596871 

7599794 
7602716 

760  5637 

760  8557 

761  1476 
9.761  4394 


49*65 
49-62 
49*62 
49-58 
49.58 
49-55 
49.55 
49-52 
49- 5o 
49.48 

49.47 
49.45 
49*43 
49.42 
49.40 
49.38 
49.35 
49.35 
49.33 
49.30 
49.30 
4927 

49.27 
49-23 
49- 2  2 
49-22 
49.18 

49.17 
49-15 
49- 1 3 
49-13 
49.10 
49.08 
49.07 
49.05 
49.03 
49.02 
49.00 
48.98 
48.97 
48.95 
48.92 
48.93 
48.90 
48,88 


eo-tang. 


co-tang. 


48.85 
48.83 
48.82 
48.80 
48.77 
48.77 
48.75 
48.73 
48,72 
48.70 
48.68 
48.67 
48.65 
48.63 


dif.  I' 


10.  a  56  a48o 
255  95oi 
255  6524 
a  55  3547 
255  0573 
254  7597 

10.254  4624 
254  i65i 
253868© 
253  5710 
253  2741 
252  9773 

10.3526806 
252  384o 
352  0875 
25i  7911 
a5i  4948 
25i  1987 

10.2509026 
25ooo66 
25o3io8 
aSooiSo 
34971 
2494a 

10.349  *^^4 
348  833i 
a48  5378 
248  2427 

347  9477 
247  6528 

10.247  3580 
247  o632 
a46  7686 
a46  4741 
246  1797 
245  8854 

io.a45  5912 
245  2971 
a45oo3i 
244  7092 
24441 54 
244  1 217 

10.2438282 
243  5347 
343  24 1 3 
242  9^80 
242  6548 
242  36 1 7 

r  0.242  0687 
24  f  7758 
241  483o 
241  1904 
240  8978 
240  6o53 

10.240  3 1 29 
240  0206 
239  7284 
239  4363 
a39  1 443 
238  8524 

10.238  56o6 


■ec. 


tMng, 


J0.o58i8o7 
o5825o8 
o583209 
0583910 
05846 1 2 
o5853i5 

io.o586oi8 
0586721 
0587425 
o588i39 
©588834 
©589539 

10.0590245 
0590952 
0591658 
0592366 
©593073 
©593781 

10.0594490 
0595199 
©595909 
©596619 
©59733© 
0598041 

I  ©.©5987  5  2 
©599465 
©600177 

©601604 
o6o23i8 
i©.o6©3©32 
©6o3747 
©6o4463 
©6©5i79 
o6©589D 
0606612 

io.o6©7329 
o6©8©47 
©608766 
o6©9485 
0610204 
©6i©924 

I  ©.©611644 
©61 2365 
©6i3o86 
o6i38o8 
©6i453o 
©6i5253 

I  ©.©615976 
©6167©© 
©617424 
©618149 
©618874 
©619600 

i©.o62©326 
©621053 
0621780 
0622508 
©623236 
©633965 

I  ©.0624694 


difcl" 


.68 


co.«in. 


II 

II 

11 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

II 

1 1 

II 

11 

1 1 

II 

II 

II 

II 

II 

12 

12. 

12. 

12. 

12 

12 

12 

12 

12 

12 

12 

12 

12. 

13. 

12. 

12. 

12. 

12. 

12. 

12. 


.68 

.68 
.7© 

.72 

.72 
.72 
.73 
.73 
.75 
•75 
•77 
•78 

•77 
.80 
.78 
80 
.82 
.82 
.83 
.83 
.85 
.85 
.85 
.88 

■87 

.881 

.90 

.90 

■90 

.92 

.93 

•93 

.93 

.95 

.95 

.98 
•oo 
.00 
©2 
.©2 
.©3 
©3 
.©5 
.©5 

•©7 
©7 
©8 
©8 
10 
1© 

12 
12 
l3 

i3 
i5 
i5 


9.9418193 


dif.l' 


9417492 
9416791 
9416090 
94 1 5388 
94 I 4685 

9.9413982 
9413279 
9412575 
9411871 
941 1 166 
94 I 0461 

9.9409755 
9409048 
94t>834? 
9407634 
9406927 
940)6219 

9.94055 1  (J 
9404801 
9404091 
94o338i 

9402670 
9401959 

9.9401248 
9400535 
9399823 
93991 10 
9398396 
9397682 

9,9396968 
9396253 
9395537 
9394821 
9394 I o5 
9393388 

9.9392671 
9391953 
9391234 
93o©5i5 
9389796 
9389076 

9-9388356 
9387635 
9386914 
938619 
9385470 
9384747 

9.9384024 
93833oo 
9382576 
9381 85 I 
9381126 
9380400 

9.9379674 

9378947 
9378220 
9377492 
9376764 
9376035 
9.9375306 


60 

^9 

58 

57 
56 

55 

54 
53 

52 

5i 

5( 

49 
48 

47 
46 
45 

44 
43 

42 

4i 

40 

3 

37 
36 

35 
34 
33 

32 

3i 
3© 
29 

28 
27 
26 

25 

24 

23 
22 

21 

20 
I 


t 


n 
16 

i5 
i4 
i3 
12 
1 1 
10 


7 
6 
5 

4 
3 
2 
I 

0 


•in. 


1190 


6OO 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


263 


300 


1490 


Bin. 


I 

2 

3 
4 
5 
6 

7 
8 

9 

10 

II 
12 
i3 

i4 
i5 
16 

17 
18 

19 
20 

21 

22 

23 

24 

25 

26 

27 
28 
29 

3© 
3i 

32 

33 

34 
35 
36 

37 
38 

39 
4© 
4i 
42 
43 
44 
45 
46 

47 
48 

t 

5i 

52 

53 
54 
55 
56 

57 
58 

59 
6© 


warn 


9.698  9700 
699  1887 
6994073 
699  6258 
6998441 
7000622 

9.70©  2802 
70©  4981 
7©©  71 58 
7©©  9334 
701  i5o8 

701  368 1 

9.701  5852 
7©i  8022 

702  ©I 

7©2  23 

7©2  4523 

7026687 

9.702  8849 

703  i©i  I 
7©3  3170 
7o3  5329 

703  7486 
7039641 

9.704  1795 

704  3947 
7©46o99 

704  8248 

705  ©397 
7o5  2543 

9.7©5  4689 
7o5  6833 

705  8975 

706  1116 
706  3256 

706  5394 
9.7067531 

7069667 

707  1 80 1 
707  3933 
7t57  6o64 


dif.l" 


36.45 
36.43 
36-42 
36.38 
36,35 
36.33 
36.32 
36,28 
36.27 
36.23 

36,22 

36,i8 
36.17 
36, 1 3 
36.12 
36-1© 
36,©7 
36.o3 
36.©3 
35,98 
35.98 
35.95 
35.92 
35.90 
35.87 
35.87 
35.82 
35,82 
35,77 
35.77 
35.73 
35.7© 
35.68 
35.67 
3563 
35.62 
35.60 
35-57 
3553 
35.52 
35.5© 


co-sec. 


l0.3oi  ©3©© 
3oo8ii3 
3o©  5927 
3©©  3742 
3©©  1559 
299  9378 

i©.299  7i98 
2995019 
299  2842 
2990666 
298  8492 
2986319 

10.2984148 
298  1978 
2979810 
297  7643 
297  5477 
2973313 

10.297  ri5i 


tang. 


296  8089  766  965 1 


7©7  8i94o^-;^o 

9^7o8o323l^^j° 

708  245©^^  j^ 

708  4575 :5^j' 

7o8  6699'^^-^2 
708  8822'^^.^^ 

7090943;^^-^^ 

9*709  3o63^^-^^ 

7©9  5r82!3;3^ 

7097299,35 
?«9  94.5;^-^ 

71©  «529,e  ^^ 

7io364?j^^.22 

•710  5753,^5-  8 

710  7863^^-7 
7109972^^-^ 

711  2080  ^^'^-^ 

7ii4i86^?-*** 

711  6290  35-07 

9-711839335.05 


co-«in. 


did  I" 


296683© 
296  467 1 
296  25i4 
296035 

10.29582© 
295  6o53 
295  3901 
395  1752 
2949603 
294  7457 

10.294  53ii 
2943167 
294  1025 
293  8884 
293  6744 
293  4606 

10.293  2469 
293  o333 
292  8199 
292  6067 
292  3936 
292  1806 

10.291  9677 
291  755© 
291  5425 
291  33oi 
291  1 1 78 
2909057 

10,2906937 
2904818 
290  2701 
290  ©585 
2898471 
2896358 

10.289  4247 
289  2 1 37 
289  0028 
288  7920 
288  58 1 4 
288  3710 

I ©.288  i6©7 


9.761  4394 

761  73ii 

762  0227 
762  3 1 42 
762  6©56 

762  8969 

9.763  1 88 1 

763  4792 

763  77©2 

764  ©612 
764  352© 

764  6427 

9.764  9334 

765  2239 
765  5 1 43 

765  8047 

766  ©949 
766  3851 

9.7666751 


dif.l' 


767  255o 
767  5448 

767  8344 

768  1240 
9.7684135 

768  7029 

768  9922 
7692814 

769  5705 

769  8596 

9.770  i485 
77©  4373 

770  7261 

771  ©i47 
771  3o33 

771  5917 

9.771  8801 

772  1684 
772  4566 

772  7447 

773  0327 

773  3206 
9,773  6084 

773  8961 

774  1 838 
7744713 

774  7588 

775  0462 
9.775  3334 

775  6206 

775  9077 
7761947 
7764816 

776  7685 

9.777  ©552 
7773418 

777  6284 

7779149 

778  2012 

7784875 

9.778  7737 


48,62 
48.60 
48.58 
48.57 
48.55 
48.53 
48.52 
48.5© 
48.5© 

48.47 
48.45 
48.45 
48-42 
48.40 
48-4© 
48.37 
48.37 
48.33 
48.33 
48.32 
48.3© 
48.27 
48.27 
48.25 
48.23 

48.22 

48. 20 
48.18 
48.18 
48.15 
48.13 
48. 1 3 
48. 10 
48.1© 
48.07 
48.07 
48.05 
48,o3 
48,02 
48 .00 
47.98 

4797 
47.95 

47.95 
47-92 
47-92 

47-9" 
47.87 

47-87 

47.85 
47-83 
47.82 
47.82 
47.78 

47.77 
47.77 
47.75 
47-72 
47-72 
47.70 


co-tang. 


10.238  56©6 
238  2689 
237  9773 
237  6858 
237  3944 
237  I  ©3 1 


iec. 


dif.  1" 


i©.236  81 19  io.©629079 


•ec. 


co-tang. 


did" 


236  5208 
236  2298 
235  9388 
235  648o 
235  3573 

I0.235  0666 
2347761 
234  4857 
234  1953 
233  905 1 
233  6149 

10,233  3249 
233  ©349 
232  745© 
2.^2  4552 
232  i656 
23 1  8760 

1 0,23 1  5865 
23 1  2971 
23 1  0078 
2307186 
23o  4295 
23©  i4o4 

1©. 2298515 
229  5627 
229  3739 
2289853 
2286967 
228  4o83 

10,228  1 199 
227  83r6 
227  5434 
227  2553 
2269673 
2266794 

10.2263916 
226  1039 
225  816? 
225  5287 

225  2412 

224  9538 
10.2246666 
224  3794 
2240923 
223  8o53 
223  5i84 

223  23l5 
10.222  9448 
2226582 
222  3716 
222  ©85l 
221  7988 
221  5l25 
10.221  2263 


10.0624694  ,2 
0625423 
0626153 
0626884 
0627615 
0628347 


tang. 


062981 

o63o544 
0631278 

©632012 

©632746 
I  ©.©63348 1 
©634217 
0634953 
©635689 
©636426 

0637164 
10.0637902 
o63864o 
0639379 
©640119 
0640859 
©64 1599 
I  ©,©64234© 
0643082 
©643823 
©644566 
0645309 
o646o52 
10,0646796 
0647541 
©648285 
0649031 

0649777 
o65o523 
io.o65i27o 
©652017 
0652765 

o6535i4 
0654262 
o655oi2 

I  ©,0655762 
©6565 1 2 
0657263 
o658oi4 
©658766 
©659518 

io.©66o27i 
0661024 
0661778 
0662533 
©663287 
©664043 

I  ©,©664709 
©665555 
©6663 1 2 


i5 
12.17 
12.18 
12.18 
12.20 
12.20 
12.20 
12.22 

12.23 
12,23 
12,23 
13.25 
12.27 
12.27 
12.27 
12.28 
12,3© 
12.3© 
12.3© 
12.32 
12.33 

12,33 
12.33 
12.35 
12,37 
12.35 
12.38 
12.38 
12.38 
12,40 
12,42 
12.40 
12.43 
12.43 
12.43 
12.45 
12.45 

12.47 
12,48 

12,47 

12,5© 
I2.5o 
I2.5o 
12.52 
12.52 

12,53 
12.53 
12.55 
12.55 
12,57 
12.58 
12.57 
12.60 
12.60 
12.60 
12.62 

^^7827  ^3 

©668585  ;j:^3 


co-flin. 


60 
59 


I  ©.©6693441 


9.9375306 
9374577 
9373847 
93731 16 
9372385 
9371653 

9.937092 1 
93701 89J  53 
9369456 
9368722 
9367988 
9367254 

9.93665194^ 
9365783  47 
9365o47 
9364311 

9363574 

9362836 
9.9362098 

936i36o 

936062 1 

9359881 

9359141 

9358401 
9.9357660 

9356918 

9356177 

9355434 

9354691 

9353948 
9.9353204 

9352459 

9351715 

9350969 

93502.23 

9349477 
9.934873© 

9347983 

9347235 

9346486 

9345738 

9344988 
99344238 

9343488 

9342737 

9341986 

9341234 

9340489 
9.9339729 

9338976 

9338223 

933746-' 

9336713 

9335957 
9.933520T 

9334445 

9333688 

9332931 

9332173 

933i4i5 
9.9330656 


co-Bee. 


dif.  I" 


58 

57 

56 
55 
54 


52 

5i 

5o 
49 


46 
45 
44 
43 
4:^ 
4i 
4© 

I? 

37 
36 
35 

34 
33 

32 

3i 

3o 

29 
28 

27 
26 

25 

24 

23 
22 
21 
20 

19 
18 

17 
16 

i5 
U 
i3 
12 
II 
10 

9 

8 

•*■ 
/ 

6 
5 
4 
3 
2 
I 
o 


sin. 


120° 


590 


>  ; 


264 


LOGARITHMIC    SINES,   TANGENTS,    «fec. 


310 


14»o 


■in. 


|3 


9.7 1 1  8393 
7120495 
712  2596 
7124695 

4  712679a 

5  712  884 
9.713098 

7  7i3  3o77 

8  7135169 

9  7137260 

10  7139349 

11  714 1437 
129.7143524 
i3  714560 
i4  714769 

1 5  7149776 

16  7i5i857 

17  7153937 
189.7156015 

19  7158092 

20  7160168 

21  7162243 

22  7164316 

23  7166387 
249.7168458 

7i7o5i6 
26  7172594 
«7  7174660 

28  7176725 

29  7178789 
309.7180851 
3i  7182912 

32  718  4971 

33  7187030 

34  7189086 

35  719  1142 
369.7193196 

37  7195549 

38  7197300 

39  7199^5 

40  720  1 399 
4f  720  3447 

42  9.720  5493 

43  720  7538 

44  7209581 

45  721  1623 

46  7213664 

47  721  5704 
489.7217742 


dif.l" 


35.o3 
35.02 

34.98 
34.95 
34-95 
34.90 

34.90 

34.87 

34.85 

34.82 

34.80 

34.78 

34.75 

34.73 

34.72 

34.68 

34.67 

34.63 

3462 

34.60 

34.58 

34.55 

34-52 

34.52 

34.47 

34.47 

34.43 

34-4^ 
34.4«) 
34.37 
34.35 
34.32 
34.32 
34.27 
34.37 
34.23 
34.22 
34.18 
,  34.17 

34- 1 3 
34- 10 
34-o« 
34.05 
34.o3 
34.02 
34.00 
33g7 


eo-fee. 


10.288  1607 
287  95o5 
287  74o4 
287  53o5 
287  3208 
287  I II I 

10.2860017 
2866923 
2864831 
286  2740 
286o65i 
285  8563 

10.2856476 
285  4391 
285  23o7 
2850224 
2848143 
284  6o63 

10.284  3985 
2841908 
283  9832 
283  7757 
283  5684 
283  36  r  3 

10.283  1542 
282  9474 
282  74o6 
282  5340 
282  3275 

282  1211 

10.281  9i4q 
28 1  7088 
281  5029 
281  3970 
281  0914 
280  8858 

10.2806804 
2804751 
280  2700 
280  o65o 
2798601 
279  6553 

10.2794507 
279  2462 


tang. 


9.778  7737 


7790599 
3450 


49 
5o 
5i 

52 

53 
54 
55 
56 

57 
58 
59 
60 


721  9779:3^09 

722  i8i4  „"^ 
722  3848  X^g; 

722  79' ^133. g3 
9.732  9943  33  R, 

723  1972  33  g 
723  4oooi([°^ 

723  6o26,^4:7 
7^3  8o5,|^|^5 

724  0075,  ,3  ' 
9.724  2097'  ' ' 


co-flin.   dif.  I" 


27904 
278  8377 
278  6336 
278  4296 

10.2782258 
278  022 1 
2778186 
2776152 
277  4i  19 
277  2087 

10.7770057 
276  8028 
2766000 
276  3974 
276  1949 
275  99'>5 

10.275  7903 


779  ^4t)9 
7796318 

7799*77 

780  2o34 

9.7804891 

780  7747 

781  0602 
781  3456 
781  63o9 

781  9162 
9.782  aoi3 

782  4864 
7827713 

783  o562 
7833410 

783  6258 
9.7839104 

784  1949 
784  4794 

784  7638 

785  0481 

785  3323 
9.7856164 

7859004 

7861844 

786  4683 

786  7520 

787  o357 
9.7873193 

787  6028 
7878863 
7881696 

788  4529 
7887361 

9-7890192 

789  3o33 

789  5852 
7898681 

790  i5o8 

790  4335 
9-790  7161 

79**9087 

791  2811 
79  r  5635 

791  8458 

792  1280 
9.792  4ioi 

793  692 1 

792  9741 

793  2560 

793  5378 
7938195 

9.794  101 1 

794  3827 
794  664' 

794  9455 

795  2968 
795  5o8i 

9.795  7892 


dif.1" 


47-70 
47-67 
47-65 
47-65 
47.62 
47-62 
47.60 
47.58 

47-57 

47.55 

47.55 

47-52 

47.52 

47-48 

47-48 

47.47 

47-47 

47.43 

47-42 

47.42 

47-4o 

47.38 

47.37 

47.35 

47-33 

47.33 

47-3o 

47.3o 

47.28 

47.27 

47.25 

47-25 

47.22 

47-22 

47-20 

47.18 

47- 18 

47-15 

47- 1 5 

47.13 

47- » 3 

47.10 

47.10 

47-07 

47-07 

47-o5 

47.o3 

47.02 

47.00 

47.00 

46.98 

4697 

46.95 

4693 

4693 

46-90 

46.9t> 

46.88 

46.88 

46.85 


e<»>taiif. 


me. 


I0.22I  2263  10.0669344 


aec. 


co-tan;. 


dif.  1" 


220  9401 

220  654 

220  3682 

220  0823 
2197966 

10.219  5lOQ 
219  225.1 

2189398 

218  6544 
2i8  36oi 
2i8o838 

10.2177987 
2i75r36 
2172287 
2169438 
2166590 
2163742 

10.2160896 
2i5  8o5i 
2i5  52o6 

2l5  2362 

214  9519 

2146677 
10.214  3836 
2140996 
2i38i56 
2i3  53i8 
2i3  3480 
2 1 2  9f >43 
10.212  6fco7 

212  3972 
212  1  l37 

211  83o4 
an  5471 
211  2639 

10.2109808 
2106977 
2io4i48 
aio  i3i9 
209  8492 
2095665 

10.209  2839 
2090013 
2087189 
208  4365 
208  i542 
207  8720 

10.207  5899 
207  3079 
207  0259 
206  744o 
206  4622 
206  i8o5 

10.2058989 
2o5  6i73 
2o5  3359 
2o5  o545 
204  7732 
2044919 

10.204  a  108 


di£  1" 


0670103 
0670863 
0671624 
0672384 
0673146 

10.0673908 
0674670 
0675433 
0676196 
0676960 
0677724 

10.0678489 
0679254 
0680020 

0680787 
0681553 
0682321 
10.0683089 
©683857 
0684626 

0685395  ; 

0686165 
0686935 
10.0687706 
0688478 
0689250 
0690022 
o69<^>795 
0691568 
10.0692342 
0693117 
0693891 
0694667 
0695443 
0696219 
10.0696996 
0697774 
0698553 
0699330 
0700109 
0700688 
10.0701668 
0702449 
07033 3o 
070401 1 
0704793 
0705576 
10.0706359 
0707 1 4 J 
0707977 
0708711 
0709496 
0710282 
10.0711068 
0711855 
0712643 
0713429 
0714217 
0715006 
10.0715795 


tan;. 


12.65 

12.67 

12.68 

12.67 

12.70 

12.70 

12.70 

12.72 

12.72 

12.73 

12.73 

12.75 

12.75 

12.77 

12.78 

12.77 

12.80 

12.80 

12.80 

12.82 

12.82 

2.83 
12.83 
12.85 
12.87 
12.87 
12.87 
I -.88 
12.88 
1  "'.90 
12.92 
12.90 
12.93 
12.93 
12.93 
12.95 
12.97 
12.97 
'3.97 
12.98 
12.98 
13.00 
1 3.02 
1 3.02 
1 3.02 
i3.o3 
i3.o5 
i3.o5 
13.07 
13.07 
i3o7 
13.08 
i3  10 
i3.io 

l3.I2 
13.12 
l3.I2 

i3.i3 
i3.i5 
i3.i5 


co-am. 


9,9330656  60 


9329897  59 
93291 J7  58 
9328376  57 
9327616 
9326854 

9.9326003 
9325330 
932456- 
9323804 
9323o4o 
9322276 

9.9321511 
9320746 
93 1 9980 
93 1 92 1 3 

9318447 
9317679 
9.9316911 
9316143 
93 1 5374 
93i46o5 
93 1 3835 
93i3o65 
9.9312294 
93ii533 
9310750 
9309978 
9309305 
93ob432 
9f93o7658 
9306883 
9306109 
93o5333 
9304557 
930378 
9.93o3<H)4 
9302296 
9301448 
9300670 
929989 
9299112 
9.9398333 
9397551 
9296770 
9295989 
9295307 
9294434 
9.9993641 
9293857  1 1 
9393073  10 
9291 289 
9290504 
9289718 
9.9288933 
9288145 
9387358 
928657 1 
9285783 
9284994 
9.9284205 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


265 


320 


56 

55 
54 
53 

52 

5i 
5o 

49 
48 

47 

46 

45 

44 

43 

42 

4 

4o 

38 

37 
36 
35 

34 

33 

32 

3i 
3o 

I 

27 
26 

25 

24 

23J 
22 
21 
20 

>9 

18 

•7 
16 
i5 

i4 
1 3 

13 


co-sflc.   dif.  1"    lin. 


147= 


■in. 


o 
I 

2 

3 

4 
5 

6 

7 
8 

9 
to 

II 

12 

i3 

i4 
i5 
10 

17 
18 

*9 
20 

21 

22 

23 

24 

25 

26 


9.724  2097 
72441 18 

724  6 1 38 

724  8 1 56 
7250174 

725  2189 

9.725  4204 
7256217 
7258229 
7260240 

726  3249 
7264257 

9.726  6264 

726  8269 
7270273 

727  2276 
7274278 

727  6278 
9.7278277 

728  0275 
728  2271 
728  4267 


diCl" 


33.68 
33.67 
33-63 
33.63 
33.58 
33.58 
33.55 
33.53 
33.52 
33.48 

33.47 
33.45 
33.42 
33.40 
33.38 

33.37 
33.33 
33.32 
33.3o 
33.27 
33.27 

33.22 


co-sec. 


728  6260  „■ 

72882531(1" 

9.7290244^3^° 

.7^9  23341^3^-^ 

7294223  -»•  o 

27  7296211^^'^ 

28  7298107 

29  7300182 
309.730  2i65 
3i  73o4i48 

32  7306129 

33  7308109 

34  73 1  0087 

35  73 1  2064 

36  9.73 1  4o4o 

37  73i6oi5 

38  73 1  7989 

39  73 1  9961 

40  732  1932 

41  732  3902 

42  9.732  5870 

43  7327837 

44  732  9803 

45  7331768 

46  7333731,^^^ 

9-Z?  1^^32.67 


1210 


580 


47 
48 

49 
5o 

5i 

52 

53 

54 
55 
56 

57 
58 

U 


33.10 
33.08 
33.05 
33.05 
33.02 
33.00 
32-97 
32.95 
32.93 
32.92 
32.90 
32.87 
32.85 
32.83 
32.80 
32.78 
32.77 
32.75 
32.72 


7339614 
734  1572 
734  3529  :J^-^ 
734  5485p='-^ 

734  7440 
9-734  9393 

735  1345 
7353296 
735  5246 
7357195 
7359142 

9.736  1088 


co-8in. 


32.63 
32.62 


32.58 
32.55 
32.53 

32.52 

32. 5o 
32.48 
32.45 
32.43 


did" 


10.275  7903 
275  5882 
275  3862 
275  1 844 
274  9826 
274  78 1 1 

10.274  5796 
274  3783 
274  1771 
273  9760 
273  775 1 
273  5743 

10.273  3736 
273  173 1 
272  9727 
272  7724 
272  5722 
272  3722 

10.272  1723 
271  9725 
271  7729 
271  5733 
271  3740 
271  1747 

10.2709756 
270  7766 
270  5777 
270  3789 
270  i8o3 
2699818 
10.269  7835 
269  5852 
2693871 
269  1891 
2689913 
268  7936 
10.268  5960 
268  3985 
268  201 1 
2680039 
267  8068 
267  6098 
10.26741  JO 
267  2 1 63 
267  0197 
2668232 
266  6269 
266  4307 
10.266  2346 
266  o386 
265  8428 

265  6471 
265  45 1 5 
265  256o 

10.265  0607 
264  8655 
264  6704 
2644754 
264  2805 
264  o858 

10.2638912 


tang. 


9.795  7892 

796  0703 
7963513 
7966322 
7969130 

797  1938 
9.797  4745 

7977551 

798  o356 
7983160 

79«  5964 

798  8767 
9.7991569 

799  4370 
7997170 
7999970 

800  2769 

800  5567 
9.800  8365 

801  1 161 
801  3957 
801  6752 

801  9546 

802  2340 
9.802  5i33 

802  7925 
8030716 

803  35o6 
8o3  6296 

803  9085 

9.804  1873 
8044661 

804  7447 

805  0333 
8o5  3oi9 

805  58o3 

9.805  8587 

806  1370 
8o6  4i52 

806  6933 
8069714 

807  2494 
9.807  5273 

807  8o52 

808  0829 
808  36o6 

808  6383 
8089158 

9.809  1933 

809  4707 

809  7480 
8100253 
8io3o25 

810  5796 
9.8108566 

811  1 336 
811  4io5 
811  6873 

811  9641 

812  2408 
9.812  5174 


dif.  I" 


46.85 
46.83 
46.82 
46.80 
46.80 
46.78 

46.77 

46.75 

46.73 

46.73 

46.72 

46.70 

46.68 

46.67 

46.67 

46.65 

46.63 

46.63 

46.60 

46.60 

46.58 

46.57 

46.57 

46.55 

46.53 

46.52 

46.5o 

46.50 

46.48 

46-47 

46-47 

46.43 

46.43 

46.43 

46.40 

46.40 

46-38 

46.37 
46.35 
46.35 
46.33 
46.32 
46.32 
46.28 
46.28 
46.28 
46.25 
46.25 
46.23 
46.22 

46.22 

46.20 
46.18 
46.17 
46.17 
46. 1 5 
46.1 3 
46.1 3 
46.12 
46.10 


co-tang. 


sec. 


122° 


co-tang. 


34 


dif.r 


io-2o4  2108 
2o3  9297 
2o3  6487 
2o3  3678 
2o3  0870 
202  8062 

10-202  5255 
202  2449 

201  9644 
201  684o 
201  4o36 
201  1233 

10.2008431 
200  563o 
200  283o 
2oooo3o 
1997231 
1994433 

10.199  i635 
198  8830 
1986040 
1983248 
1980454 
1977660 

10.1974867 
197  2075 
1969284 
196  6494 
1963704 
196  0915 
10.1958127 
195  5339 
195  2553 

1949767 
194  6981 

194  4197 
10.194  i4i3 
193  863o 
193  5848 
193  3067 
193  0286 
192  7506 
10.192  4727 
192  1948 
191  9171 
191  6394 
191  3617 
191  0842 
10.1908067 
1905293 
190  2520 

1899747 
1896975 
1894204 

10.189  1434 
188  8664 
188  5895 
188  3 127 
1880359 
187  7592 

10.1874826 


sec. 


dif.1"      co-ein. 


10.0715795    q       '9-928420560 
07l65tt5j3j^     9283415 '^'J 
0717375,  o",Z     9282625 


l3.22 
l3.22 

i3.23 
i3.23 
1 3.25 
i3.25 

l3.27 
l3.37 

13.28 
13.28 
i3.3o 
i3.3o 
i3.32 
i3.33 
i3-33 
i3.33 
i3.35 


taug. 


8i-y;     l3.  18 
1 66  ,  o  .  0 

^L    or      I  J- 10 

^7^^957,^3.20 

0719749,320 
10.0720541 

0721334 

0722127 

0722921 

0723715 

0724510 
10.0725305 

0726101 

0726897 

0727694 

0728491 

0729289 
10.0730087 

0730886 
0731686 
0732486 

0733286 

0734087   q  qr 

10.0734888  "^"^^ 

0735690 

0736493 

0737296 

0738099 

0738904 
10.0739708 

074o5i3 

074i3i9 

0742125 

0742931 

0743739 
10.0744546 

0745354 

0746163 

0746972 

0747782 

0748592 
10.0749403 

0750214 

0751026 

0751839 

0752651 

0753465 
10.0754279 

0755093 

0755908 

0756723 

0757539 

0758356 
10.0759173 

0759990 

0760809 

0761627 

0762446 

0763266 
10.0764086 


co-sec. 


5^ 
58 

9281834 
9281043  56 
9280251  55 

9.9279459  54 
9278666  53 
9277873  52 
927707951 
9276285  5o 
9275490  49 

9.9274695  48 
9273899  47 
927310346 
9272306  45 

927150944 
9270711  43 
9.9269913  42 
93691 14  4i 
926831440 
9267514  39 
9266714  38 
9265913  37 
i3.3^j9-9265u2  36 

1 3.38 
i3.38 
1 3.38 
13.42 
1 3.40 
13.42 
13.43 
13.43 
13.43 

1 3.47 
i3.45 

13.47 

1 3.48 
i3.48 
i3.5o 
i3.5o 
i3.52 
i3.52 
13.53 
i3.55 
i3.53 
13.57 
13.57 
i3.57 
1 3.58 
i3.58 
i3.6o 
13.62 
13.62 
i3-62 
i3-65 
i3.63 
13.65 
13.67 
13.67 


9264310  35 
9263507  34 
9262704  33 
9261901I32 
9261096  3i 

9.9260292 
9259487 
925868 
9257875 
9257069 
9256261 

9.9255454 
9254646 
9253837 
9253028 
9252218 
925i4o8 

9.9250597 
9249786 
9248974 
9248161 

9247349 
9246535 
99245721 
9244907 
9244092 

9243277 
9242461 

9241644 
9.9240827 

924fK)IO 

9239191 
9238373 
9237554 
9236734 
9.9235914 


dif.l" 


3o 
29 
28 

27 
26 

25 

24 

23 
22 
21 

20 

19 
18 

n 
16 

i5 

i4 
i3 
12 
11 
10 

9 
8 

7 


Bin. 


570 


W 


III 

A 


f  ^^Hmnl'"' 


266 


LOeABITHMIG     9INBS,    TANOENTS,     &C. 


1 

.a 
31 
4 
5 
6 

7 
8 

9 

10 

ii 
la 
i3 
1 4 
i5 
i6 
17 
i8 

•9 

ai 

23 


<iici" 


140» 


eo-mtc 


9-736  io88 
7363o3a 
7364^ 

7366oi8 
7368859 

3  737  07Q9|5;-5r 
6  9.737  2737  r-^ 

-  7374675-*^-** 
737  661 1 
7378546 
7380479 
7382412 
9.7384343 

738  6273 

738  8aoi 

739  01 29 
739  2o55 
739  3980 

9.739  5904 

739  7827 
7399748 
7401668 

740  3587 
74o  55o5 

2419.7407421 

27  74i3i64'"'^** 

28  74 1  5075 

39    74 1 

309.741 
3i 


32^0 
32^0 

32.37 
32.35! 
32.33 


32.27 

32.25 

3a. 22 

32.22 

32.18 

3a.  1 7 
3a.i3 
32.i3 
32.10 
32.08 
32.07 
32. o5 
32.02 
32.00 
31.98 
31.97 
31.93 
3i.o3 
3i 


dif.l" 


46.06 
46.08 
46.07 

46.o5 
46.o3 


io.a63  891  a  9.8 1 2  5i 74 
2636966  8fa7939 
a63  5oa4  8i3o7o4 
a633o8a  8i3  3468 
a63ii4f  81 3  6231 
2629201  8138993^"^ 

10.262  72639^,4  1^5  j^-^ 
'i'-'J  8i445i6J5-^' 

8147277"*^-^ 
8i5oo36 
8152795 
8i5  5554 


CO- tang. 


2625326 
262  3389 

a62  1454 
a6i  95a  f 
a6i7588 


10.261  565?  9.815  83i  I 


74a  o8<i3 

32  742  2710 

33  7424616 

34  742  6520 

35  742  8423 

36  9.743  o3i5 

37  7432226 

38  7434126 

39  743  6024 

40  7437921 
4i  7439817 

42  9.744  171 2 

43  7443606 

44  744  5498 

45  744  73qo 

46  7449080 
4?  745  1 169 
48  9-745  3o56 
4f  7454943 
5o  745  6828 
5i  7458712 

52  746  0595 

53  746  2477 

54  9^7464358 

55  7466237 

56  746  811 5 
§7  746  909? 

58  747  1868 

59  747  3743 
609.7475617 


eo-atn. 


31.85 
31.85 
3 1. 8a 
3i.8o 

31.78 

31.77 

31.73 

31.72 

31.70 

31.68 

31.67 

3 1.63 

31.62 

3i.6f> 

31.58 

3f.57 

3 1. 53 

31.53 

3i.5o 

3 1.48 

31.45 

31.45 

31.42 

3 1.40 

3 1. 38 

3 1. 37 

3 1. 32 

3i.3o 
31.28 
3i.27 
3i.25 
3i.23 


261  3727 
a6i  1799 
3609671 
3607945 
a6o6oao 
10.3604096 
3602173 
2600252 
2598332 
2596413 
2594495 


we. 


10.259  2579  9-^*9  '^4S 
25oo663  8194096 
2588749  8196844 
2586836  8199592 
258  4925  820  2338 
258  3oi4  820  5o84 


10.258  iio5 


816  1068 

816  3824 
6i6658o 
8169335 

817  2089 
9.817  4842 

8177595 

818  0347 
8183098 
818  5849 
8188599 


diCl" 


2579197 

257  7290 
257  5384 
3573480 
257  1577 

10.2569675 
a  56  7774 
256  5874 
3563976 
256  2079 
256oi83 

10.255  8288 
255  6394 
255  45o2 
255  2610 
255  0720 
2548831 

10.2546944 
254  5o57 

254  3172 

2541288 
253  94o5 
253  7523 
10.253  564' 
253  3763 


9.820  7829 


253  1 885 
253  0008 
2528132 

252  6257 

10.252  4383 


831  0574 
821  33 17 

821  6060 
8ai88o3 
823  1545 

9.823  4286 

822  7026 
8229766 

823  25o5 

823  5244 
8237981 

9824071 
824345 
8246191 

824  8926 

825  1660 
8a5  4394 

9.8257127 
8259860 

826  2592 

826  5323 
8268053 

827  0783 
9-827351 3 

827  6241 

827  8969 
8281696 

828  4423 
828  7149 

9.828  9874 


SCCd 


45.98 
45.98 
45.98 
45.95 

45.95 
45.93 
45.93 

45.9a 
45.90 

45.88 
45.88 
45.87 

45.85 
45.85 
45.83 
45.82 
45.80 
45.80 
45.80 
45-77 
45-77 

45.75 

45.75 

45^2 
45.72 
45.7a 
45.70 

45.68 

45.67 

45.67 

45.65 
45.65 
45.62 
45.63 
45.60 
45.60 
45.58 
45.57 
45.5? 
45.S5 
45.55 
45.53 
45.5? 
45.5o 
45. 5o 
45.5o 
45.47 
45.47 
45.45 
45.45 
45.43 
45.42 


co-tan|;. 


10.187  4636 

187  2061 
18602 

18665 

1863769 
186  1007 

10.1858245 
1 85  5484 
i85  2723 
1849964 
1 84  7205 
1844446 

10.184  1689 
1838933 
1836176 
i83  3420 
i83o665 
182  7911 

10.182  5i58 
182  24o5 
181  9653 
181  6902 
j8i4i5i 
181  i4oi 

10.180  865? 
1805904 
i8o3i56 
1800408 
1797662 

1794916 

10.170  2171 

1709426 
1786683 
1783940 
178  1197 
1778455 

10.1775714 
177  2974 
177  0234 
17^7495 
1764756 
176  2019 

10.1759281 
175  6545 
1753809 
175  1074 
1748340 
174  56<t6 

to.  1 74  2873 
174  0140 
1737408 
1734677 
173  1947 
172  9217 

10.1726487 
172  3759 
172  io3i 
171  83o4 
171  5577 
171  285i 

10.171  0126 


10.0764086 
0764907 
0765728 
0766550 
0767372 
0768195 
10.0769018 
0769842 
0770666 
077 I 491 
0772316 
0773142 
10.0773968 
0774795 
0775623 
0776451 
0777279 
0778109 
10.0778938 
0779768 
0780599 
0781430 
0782262 
0783f>94 
10.0783927 
0784760 
0785594 
0786428 
0787263 
0788098 
10.0788934 
0789771 
0790607 
0791445 
0792283 
0793122 
10-0793961 
0794800 
0795640 
0796481 
0797323 
0798164 
10.0799006 
0799849 
0800692 
080 1 536 
0802 38 1 
o8o3225 
10.0804071 
0804917 
0805763 
0806610 
0807458 
o8o83o6 
10.0809155 
0810004 
0810854 
0811704 
0812555 
081 3406 
1 0.08 1 43  58 


diCl" 


did" 


tang. 


co-sec. 


1 3.68 

i3.68 

13.70 

13.70 

13.72 

13.72 

13.73 

13.73 

13.75 

13.75 

13.77 

13.77 

13.78 

i3.8o 

i3.8o 

i3.8o 

13.83 

13.82 

i3.83 

i3.85 

i3.85 

13.87 

13.87 

i3.88 

13.88 

13.90 

13.90 

13.92 

13.92 

1 3.93 

13.95 

13.93 

13.97 

1397 

13.98 

13.98 

13.98 

14.00 

14.02 

l4.02 

i4.o3 
i4.o3 
i4.o5 
i4.o5 
14.07 
i4-o? 
14.07 
14.10 
t4.io 
i4io 
14.12 
14. 1 3 
i4.i3 
i4.f 


co-nii. 


9.9233914 
9235093 

9234772 
923345© 
9232628 


923i8o5  55| 


60 

58 

57 
561 


52 

5i 
5o 

49 
48 

47 
46 
45 

44 
43 

4^ 
4i 

4o 
39 

38 

37 
36 
35 
34 
33 

32 

3i 
3o 
29 
28 

27 
26 

25 

24 

23 

22 
21 

20 

'9 

f8 

17 
ifi 
i5 


r5 
i4-i5 
14.17 

14.17 
14.18 
14.18 
14.20 


dif.l" 


9.9230982  541 
9230 1 58  53 
9229334 

9228509 
9227684 
9226858 
9^9226032 
9225205 

9224377 

9223549 

9222721 

9221891 
9.9221062 

9220233 

9219401 

9218570 

9217738 

92 16906 
9.92r6o73 

9215240 

9214406 

9213573 

92127.37 

9211902 
9.92ru)66 

9210320 

9200393 

9208555 

9207717 

9206878 
9.9206039 

9205300 

9204360 

9203519 

9202678 

9201 8 36 
9.9200994 

930or5i 

9199308 

9198464 

9197619  14 

91 96775:1 3 
9.9195959 

9195083 

9194237 

9193390 

9192542 

9191694 
9.9100845 

9189996 

9189146 

9188296 

9187445 

9186594 
9.918574? 


nn. 


13 

I 

10 


6 

5 

4 

3i 

2 

1 

Oi 


560 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


267 


34» 


1450 


no. 


3 

4 
5 
6 

7 
8 

9 
io 

II 

12 

i3 

^ 
i5 
16I 

17 
18 
19 
20 

21 
22 

23 
24 
25 

26 

27 
28 
29 

3o 
3i 

32 

33 
34 
35 
36 

37 
38 

39 

4o 

4i 
42 
43 
44 
45 
46 
47 
48 
49 
5o 
5i 

52 

53 

54 
55 
56 

57 
58 

60 


9.7475617 
747  7489 

747  9360 

748  I23o 

748  3099 

7484967 

9.748  6833 

748  8698 

749  o562 
749  2425 

749  4287 
7496148 

9.749  8007 
7499866 

750  1723 
75o  3579 
75o  5434 

750  7287 
9.7509140 

75 1  0991 
75 1  2842 
75 1  4691 
75 1  6538 

75 1  8385 

9.752  023 1 

752  2075 
752  3919 
752  5761 
752  7602 

752  9442 

9.753  1 280 
7533118 

753  4954 
753  6790 

753  8624 

754  0457 

9.754  2288 
7544119 
754  5949 

754  7777 
7549604 

755  i43i 

9.755  3256 
755  5o8o 
755  6902 

755  8724 

756  o544 
756  2364 

9.7564182 

756  9630 

757  1444 
757  3256[ 

9.757  5o68j 
757  6878 

757  8687 

758  0495 
758  23o2 
758  4io8 

97585913 


fiCl" 


e«-«tii. 


3l.20 

3i.i8 
3i.i7 
3i.i5 
3i.i3 
3i.io 
3i.o8 
31.07 
3i.o5 
3i.o3 
3 1 .02 
30.98 
30.98 
30.95 
30.93 
3092 
3o.88 
30.88 
30.85 
3o.85 
30.82 
30.78 
30.78 

30.77 
30.73 
30.73 
30.70 
30.68 
30.67 
30.63 
3o.63 
3o.6o 
3o.6o 
3a  57 
30.55 
3o.52 
3o.52 
3o.5o 
3o.47 
30.45 
30.45 
30.42 
3o.4o 
30.37 
3o.37 
30.33 
30.33 
3o.3o 
1 30.28 
1 30.27 
I30.25 
3o.23 
3o.2o 
3o.2o 
30.17 
3o.i5 
3o.i3 
3o.i2 
3o.io 
3o.o8 


co-tec 


10 


10 


CO 


10 


10 


10 


10 


10 


[0 


10 


did' 


10 


252  4383 

252  25ll 
2520640 

25 1  8770 
25i  6901 
25 1  5o33 
.25i  3167 

25l  |302 

aSo  9438 
a5o  7575 
25o57i3 
25o3852 
.25o  1993 
25ooi34 
249  8277 
2496421 
249  4566 
2492713 
.249  0860 
248  9009 
^48  7158 
248  5309 
248  3462 
248  i6i5 
.247  9769 
247  7935 
2476081 
247  4239 
247  2398 
247  o558 
.246  8720 
2466882 
246  5o46 
246  3210 
246  1376 
345  9543 
.245  7712 
245  588! 
245  4o5i 

245  2223 

245  o3( 
24485^ 
.244  6744 
244  4920 
2443098 
344  1276 
243  9456 
243  7636 
.243  58i8 
243  4ooi 
2432185 
243  0370 
242  8556 
242  6744 
242  4932 

242  3X22 

242  i3i3 
a4i  95o5 
241  7698 
a4i  5802 
.341  4087 

•ee. 


tang. 


9.828  9874 

829  2590 
8295323 
8298047 

830  0769 
83o  3492 

^.83o^2i3 

830  8934 
83i  i654 

83 1  4374 
83 1  7093 

83 1  981 
^.832  2529 

832  5246 

832  7963 

833  0679 

833  3394 
8336109 

?.833  8823 
8341 536 

834  4249 
8346961 

834  9673 

835  2384 
?.835  5094 

835  7804 
836o5i3 

836  3221 
836  5929 

836  8636 
?.837  1 343 

837  4o49 
8376755 

837  9460 

838  2164 

838  4867 
>.838  757i 

839  0273 
839  2975 

839  5676 

8398377 

840  1077 
>.84o  3776 

8406475 
840  9174 
84i  1871 
84i  4569 
84i  7265 
►.841  9961 
842  2657 
842  535 1 

842  8o46 

843  0739 
843  3432 

1.843  6x25 

843  88x7 
844i5o8 
8444199 

844  6889 

844  9579 
1.845  2268 


diCl" 


45 

45 

45 

45 

45 

45 

45 

45 

45 

45 

45 

45, 

45 

45 

45 

45 

45 

45 

45 

45 

45 

45 

45 

45, 

45. 

45, 

45. 

45. 

45. 

45. 

45. 

45. 

45 

45 

45 

45 

45 

45 

45 

45 

45 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 

44 


42 
.40 

4o 

37 
38 
35 
35 
33 
33 

32 

3o 
3o 
28 
28 


co-tang. 


10 


co-tang. 


.27 
.25 
.25 
.23 
.22 
.22 
.20 
.20 
.18 

•17 
•17 
.i5 
.i3 
.13 
.12 
.12 
.10 
.10 
.08 
.07 
.o5 
.07 
.o3 
,o3 
.02 
.02 
.00 
,98 
98 

.98 
.95 

.93 
.93 
.93 

,90 
.92 
.88 
.88 
.88 

.87 
.85 
.85 
83 
83 
.82 


10 


10. 


10 


10 


10 


10 


dif.l" 


10 


10, 


10, 


10, 


•ec 


71  0126 
70  7401 
704677 
70  1953 
699231 
696508 
69  3787 
69  1066 
68  8346 
68  5626 
68  2907 
680189 

677471 
674754 
67  2o37 
669321 
666606 
66  389 
66  1177 
65  8464 
65  5751 
65  3o39 
65  o327 
647616 
644906 
64  2196 
63  9487 
63  6779 
63  4071 
63  1 364 
62  8657 
62  5951 
62  3245 
62  o54o 
61  7836 
6r  5x33 
61  2429 
609727 
607025 
604324 
60  1623 
59  8923 
596224 
59  3525 
59  0826 
588129 
58  543  X 
58  2735 
58  0039 
57  7343 
57  4649 
57  1954 
569261 
56  6568 
56  3875 
56  1x83 
55  8492 
555801 
55  3x11 
55  0421 
54  7732 


[o.o8i4258 
o8i5iio 
0815963 
0816817 
0817671 
o8i8525 

iox>8i938o 
0820236 
0821092 
0821949 
0822806 

0823664 

10.0824522 
0825381 
0826240 
0827100 
0827960 
0828821 

10.0829683 
o83o545 
o83i4o7 
0832270 
o833x34 
0833998 

io.o834863 
0835728 
0836594 
0837461 
0838327 
0839195 

io.o84oo63 
0840931 
o84i8oo 
0842670 
0843540 

084441 I 
10.0845282 

o846i54 
0847026 
0847899 
0848772 
0849646 

io.o85o52i 
0851396 
0852271 
o853i48 
0854024 
0854901 

10.0855779 
0856658 
0857536 
o8584i6 
0859296 
0860176 

10.0861057 
0861939 
0862821 
0863704 
0864587 
0865470 

I0.0866355 


at  1" 


tang.   I 


co-sec. 


i*«^  9-9^85742 

4'^^^Ji.QXRr^ 


4.22 
4-23 
4.23 

4.23 
4.25 
4.27 

4-27 

4.28 
4.28 

4.3o 
4.3o 
4.32 
4.32 
4.33 
4.33 
4.35 
4.37 
4.37 
4.37 
4.38 
4.4o 
4.40 
4.42 
4.42 
4-43 
4.45 
4.43 
4.47 
4.47 
4.47 
4.48 
4.5o 
4-5o 
4-52 
4.52 
4.53 
4.53 
4.55 
4.55 
4.57 
4.58 
4-58 
4.58 
4.62 
4.60 
4.62 
4.63 
4.65 
4-63 
4.67 
467 
4.67 
.68 
.70 

70 

72 
.72 
.72 


co-«tn. 


60 
59 


4. 


4.75 


9.9144221 
9143342 
9142464 

9i4i584 
9x40704 
9139824 
9.9138943 
913806 I 

9137179 
9136396 

9i354i3 

9i3453o 

9.9133645 


58 


5i 


9184890 
9184037 
91 83 1 83  57 
9182329  56 
9x8147^55 

9.9x80620  54 
9179764  53 
9178908  5 
9178051  5 
9177194  5o 
917633649 

9.9x7547848 

917461947 
9173760  46 
9172900  4" 
9172040  44 
9171 179  43 
9.91703174 
9169455  4 
916859340 
9167730  39 
9166866  38 
9166002  3 
9.9x65137  36 
9164272  35 
9163406  34 
916253933 
9161673  32 
9160805  3 1 
4.47  9-9' ^993730 
^^'  90006929 
9158200  28 
9157330  27 
9]  5646o  26 
915558925 
9.91 547 1 8  24 
9(53846  23 
9x52974  22 
9152x01  21 
9x5x228  20 
9i5o354  19 
9.9149479  18 
9148604  17 
9x47729  16 
9x46853  1 5 
9145976  x4 
9145099  1 3 


di£  1" 


am. 


12 
II 
xo 

9 

8 

7 

6 

5 

4 

3 

2 

I 

o 


1240 


550 


4 


ilil 


268 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


350 


1440 


■IQ. 


O 

I 

a 
3 

4 
5 
6 

7 
8 

9 

10 

1 1 

1 3 

i5 
16 
17 
tU 
19 
ao 
at  I 

23 
23 

33 
26 

ay 
28 


9.7585913 

758  77*7 
7589519 

759  1 32  I 

7593121 
759  4920 
9.7596718 
7598515 
760031 1 
7602106 
7603899 
7605692 

9.760  7483 
7609274 
761  io63 
761  285 1 
761  4638 
761  6424 

9.761  8208 

761  9992 

762  1775 
762  3556 
762  5337 

762  7116 

9.762  8894 
7630671 
7^3  2447 

763  4222 
763  5996 

763  7769 
30J9.763  9540 

764i3ii 

764  3o8o 
764  4849 
7646616 

764  8382 

9.7650147 

765  1911 
765  36-t4 

39I  765  5436 

7657197 

765  8957 

9.7660715 

766  2473 
7664220 
766598 

766  7739 
7669492 

9.767'i244 

767  2996 

767  4746 
767  6494 

767  8242 
7679989 

9.768  T735 

768  3480 

768  5223 

7686066 

7688^07 

769  o448 
9.7692187 


dif.  1" 


3i 

32 

33 
34 
35 
36 

37 
38 


40 
4i 

iB 

44 
45 

4? 
48 

49 
5o 
5i 

53 
54 
55 
56 

5? 
58 
59 
6( 


V'W*  Sl.lil* 


3o.o7 
3o.o3 

3o.oo 

29.98 

29.97 

29.95 

29.93 

29.92 

29.88 

29.88 

29,85 

29.85 

29.82 

29.80 

29.78 

29.77 

29.73 

29.73 

29.72 

29.68 

2968 

29.65 

29.63 

29.62 

29.60 

29.58 

29.57 

29.55 

29.52 

29.52 

29.48 

29.48 

29.45 

29.43 

29.42 

29.40 

29.38 

29.37 

29.35 

29.33 

29.30 

29.30 

29.27 

29.27 

29.23 

2922 

29.20 

29.20 

29. 1 7 

29. 1 3 

29. 1 3 

29.12 

29.10 

29.08 

29.05 

29.05 

29.02 

2Q.02 
28.98 


co-tec 


1 0-24 1  4087 
241  2283 
241  o48i 
240  8679 
240  6879 
240  5o8o 
10.2403282 
240  1 485 
239  9689 
239  7894 
2396101 
2394308 
10.2392517 
239  0726 
a38  8937 
238  7149 
238  5362 
238  3576 
10. 238  1792 
238  0008 
2378225 
237  6444 
237  46^>3 
237  2884 
10.237  1 106  9-851  6637 
2369320  85 1  9312 
236  7553 
236  5778 
236  4o(>4 


9.845  2268 

845  4956 

8457644 
846o332 

846  3oi8 

846  5705 

9.846  8390 

847  1075 
847  3760 

847  6444 
8479127 

848  1810 
9.848  449a 

8487174 
8489855 

849  2536 
8495216 
849780 

9.85o  0575 
85o3i53 

850  5931 
85o86o8 
85i  1285 
85i  3961 


dif-l" 


236  223l 

io.236o46o 
235  8689 
a35  6920 
235  5i5i 
235  3384 
235  1618 

10.234  9853 
234  8089 
23463-:.6 
234  4564 
234  2803 
234  io43 

10.233  9285 

233  5771 
233401 5 
233  2261 
233  o5o8 
I0.232  8756 

232  7004 
232  5254 

232  35o6 
232  1758 

232  «>OI  1 

io.23i  8265 
23 1  6520 
23i  4777 
a3i  3o34 
23i  1293 
23o  9552 

1 0.2307813 


852  1987 

852  4661 
85a  7335 

853  0008 
98532680 

853  5352 

853  8023 
8540694 

854  3365 
8546o34 

9.854  8704 

855  1372 

855  4o4i 

855  6708 
8559376 

856  2043 
98564708 

8567374 

857  0039 
857  2704 

857  5368 
857803 1 

9-858  0694 

858  3357 
858  6019 

858  8680 
«59  i34i 

859  4oo2 
9.8596661 

8599321 

860  1980 
860  4638 
8607296 
8609954 

9861  2610 


dif.  V 


■fte. 


o»>tanf. 


44-8o 

44 -80 
44 '80 

44-77 

[44.78 
44.75 

44.75 

44.75 
44.73 

44-72 
44-72 

44.70 

44.70 

44.68 

44  68 

44-67 

44-67 

44-65 

44-63 

4463 

44-62 

44.62 

44.60 

44.60 

44-58 

44-58 

44-57 

44-57 

44.55 

44.53 

44.53 

44.52 

44-52 

44-52 

44-4S 

445o 

44-47 

44-48 

44-45 

44.47 

44*43 

44.43 

44.43 

444'^ 

44.42 

44'4o 

44-38 

44.38 

44.38 

44-37 
44-35 
44-35 
44-35 
44-32 
44-33 
44.32 
44. 3o 
44 -30 
44.3o 
44-27 


co-tanf. 


dif.  1" 


10.1 54  7732 
1 54  5o44 
154  2356 
1539668 
1536982 
1534295 
10.153  1610 
i52  8925 
1 52  6240 
152  3556 
1 52  0873 
i5i  8i9f 
lo.iSi  55o8 
i5i  2826 
i5i  0145 
1 507464 
1 504784 
i5o  2104 
10.1499425 
1490747 
1494069 
149  1392 
1488715 
1 48  6039 
10.148  3363 
148  0688 
147*0' 3 
147  5339 
147  2665| 
1469992 
10.1467320 
146  4648 
146  1977 
145  9306 
145  6635 
1453966 
10.145  1296 
144  8628 
1445959 
i44  3292 
1440624 
143  7958 
10.143  5292 
143  2626 
1429961 
142  7296 
142  4632 
142  1969 
10.141  9306 
i4i  6643 
i4i  3o8i 
i4i  i32o 
1408659 
1405998 
10,1403339 
1400679 
1 39  8020 
1395362 
139  2704 
1390046 
10.1387390 


me. 


dif.  I" 


i4-75 

14.75 

14.77 

14.78 

14.78 

14.78 

14.80 

14.8  a 

14.82 

14.83 

14.83 

14.85  ^ 

14.87  9-9 


io.o86f>355 
0867240 

fj868i25 

086901 1 

0869808 

0870785 
10.0871672 

0872560 

0873449 

0874338 

0875228 

0876118 
10.0877009 

0877901 

0878793 

0879685 

0880578 

0881472 
10.0882366 

0883261 

0884 1 56 

o885o52 

088594 

088684 
10.0887743 

0888641 

0889540 

0890439 

0891 339 

0892239 
10.0893140 

t)894o4i|;r;; 

0894943  ll'^i 

0895845  '^-^^ 

0896749 

0897652 
10.0898556 

0899461 

0900366 

0901 272J 

090217 

090308 
100903993 

0904901 

0905810 

0906719 

0907629 

0908539 
10.0909450 

0910361 

0911 273 

0912186 

0913099 

0914012 
10.0914927 

0915841 


co-«in. 


9.9 


14-87 
14-87 
14.88 
14.90 
14.90 
14.92 
14.92 
14-93 
14.95 
4-93 
14.97 
14-97 
14.98 

14.98 
i5.oo 
1 5.00 

l5.02 
l5.02 


9.9 


9.9 


1 5.07 
i5.o5 
i5.o7 
i5.o8 
i5.o8 
i5.io 

l5.l2 

1 5. 10 
i5.i3 
i5.i3 
i5.i5 
i5.i5 
i5.i7 
i5.i7 
i5.i8 
i5.i8 
1 5- 20 

l5.22 
t5.22 
l5.22 

i5.25 
i5,23 
15.27 


9-9 

9 

9 

9 

9 

9 
9.9 

9 


33645 

32760 

31875 

30989 

3oioy 

29215 

28328 

27440 

2655 1 

25662 

24772 

2388  3|49 

22991 148 


60 
59 
58 

57 
56 
55 
54 
53 

52 

5i 

5o 


09'6757  ^_ 

0917673  c' 


0919506 
10.0920424 


tang. 


co-sec. 


i5.3o 


dif.l" 


2209947 

21207  46 

2o3i5  45 

1942244 

1852843 

1763442 

167394' 

i5844  4o 

14948  3 

i4o5i  3 

i3i55  37 

12257  36 

1135935 

10460  34 

oo56i  33 

08661  32 

07761  3i 

06860  3o 

05959  29 

o5o57  28 

04 1 55  27 

o325i  a6 

02348  25 

ot444  24 

00539  23 

9099634  22 
9098728  21 
9097821  20 
9096915  I 
9.9096007  1 

9095099  17 
9094190  16 
9093281  1 5 
9092371  1 4 
909146 I  r3 
9.9090550  12 
9080639  1 1 
9088727  10 

9087814  9 

9086901  8 

9086988  7 

9;9o85<j73  6 

9084159  5 

9083243  4 
9082327 

9081411  2 

9080494  1 
9.9079576 


•10. 


ISfo 




540 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


269 


360 


1430 


sin. 


9.769  2187 
769  3925 

769  5662 


769  7398 

r34 


7699134 

5  770  0868 

6  9-770  2601 

7  7704332 

8  770  6o63 

9  770  7793 
10  7709522 
ji  771  1249 
129-77'  2976 

1 3  77'  4702 

1 4  771  6426 
i5  771  8i5o 

16  77'  9872 

17  772  1593 
I,-  9.7723314 

19  772  5o33 

20  7726761 

21  7728468 

22  773oi85 

23  773  1900 
249.7733614 

25  773  5327 

26  773  7039 

27  773  8749 

28  774  0459 

29  7742168 

30  9.774  3876 
3i  774  5583 

32  774  7288 

33  774  8993 

34  775  0697 

35  775  2399 
369.7754101 

37  775  58oi 

38  775  75oi 

39  7759199 

40  776  0897 
4i  776  25o3 

42  9.776  4289 

43  776  5983 

44  776  7676 

45  776  9369 

46  777  1060 

47  777  2760 

48  9.777  4439 

49  7776128 

50  7777815 

5 1  7779601 

52  7781186 

53  778  2870 

54  9.778  4553 

55  778  6235 

56  778  7916 

57  778  9696 

58  7791275 
69  779  2953 
60  9.779  463o 


dif.  I' 


co-«m. 


28.97 
28.95 
28.93 
28.93 
28.90 
28.88 
28.85 
28.85 
28.83 
28.82 
28.78 
28.78 

28.77 
28.73 
28.73 
28.70 
28.68 
28.68 
28.65 
28.63 
28.62 
28.62 
28.58 
28.57 
28.55 
28.53 
28.50 
?8.5o 
28.48 

28.47 

28.45 

28.42 

28.42 

28.40 

28.37 

28.37 

28.33 

28.33 

28.30 

28.30 

28,27 

28.27 

28.23 

28.22 

28  22 

28.18 

28.17 

28.15 

28.15 

28.12 

28.10 

28.08 

28.07 

28.05 

28.03 

28.02 

28.00 

27.98 

27.97 

27.95 


co-sec. 


10.2307813 
23o  6075 
23o  4338 
23o  2602 
23o  0866 
2299132 

10.2297399 

2296668 

229  3937 
229  2207 
2290478 

2288761 

10.228  7024 

228  6298 
228  3574 

228  i85o 
2280128 
227  8407 

10.2276686 
227  4967 
227  3249 
227  i632 
2269816 
2268100 

10.226  6386 
2264673 
226  2961 
226  1261 
2269541 
226  7832 

I0.225  6l24 

2264417 
226  2712 

225  1007 

224  93o3 
2247601 


tan^. 


9.861  2610 
861  6267 

861  7923 

862  0578 

862  3233 

862  6887 

9.8628541 

8631196 

863  3848 

863  65oo 
8639152 

864  i8o3 
9.864  4454 

8647105 

864  9755 

865  24o4 
865  5o53 

865  7702 
9.866  o35o 

866  2997 

866  5644 
8668291 

867  0937 
867  3583 

9.8676228 

867  8873 

868  1617 
8684160 
868  6804 

868  9446 
9.869  2089 

869  473 1 

869  7372 
8700013 

870  2653 
870  6293 


dif.r 


10.224  6899  9.870  7933 


2244199 
224  2499 
2240801 

223  9103 
223  7407 
10.223  6711 
2234017 
223  2324 

223o63i 

222  8940 
222  7260 

10.222  566l 
222  3872 
222  2l85 
222  0499 
221  8814 
221  7l3o 

10.221  5447 
221  3765 
221  2084 

221  o4o4 

2208725 

220  7047 

10.220  5370 


dif.!" 


sec. 


871  0672 

871  3210 

871  5848 

871  8486 

872  1123 

9.872  3760 
872  6396 

872  9032 

873  1668 
873  43o2 

873  6937 
9.8739571 

874  2204 
874  4838 

874  7470 
8760102 
876  2734 

9.875  5366 

875  7996 

876  0627 
876  3267 
876  6886 
8768615 

9.877*1144 


co-tang. 


44.28 

44.27 

44.25 
44.25 
44.23 
44.23 
44.23 
44.22 
44.20 
44.20 
44.18 
44.18 
44.18 

44.17 

44.16 

44.15 

44- 1 5 

44-1 3 

44.12 

44.12 

44-12 

44.10 

44.10 

44.08 

44.08 

44.07 

4406 

44.07 

44.o3 

44-06 

44.o3 

44.02 

44.02 

44.00 

44-0O 

44.00 

43.98 

43.97 

43-97 

43-97 

43.95 

43-96 

43.93 

43-93 

43-93 

43.90 

43.92 

43.90 

43.88 

43.90 

43.87 

43.87 

43.87 

43.85 

43.85 

43.85 

43.83 

43.82 

43.82 

43.82 


co-tang. 


sec. 


io.t38  7390 
i38  4733 
1 38  2077 
1379422 
1376767 
i37  4ii3 

10. 1 37  1459 
i36  88o5 
1 36  6162 
i36  35oo 
1 36  0848 
1358197 

10. 135  6546 
1 36  2896 
i36  0245 
1347696 

1344947 
1 34  2298 

10.1339660 
i33  7oo3 
133  4356 
1 33  1709 
1329063 
1326417 

io.i32  3772 
i32  1127 
i3i  8483 
i3i  584o 
i3i  3196 
i3i  0654 

10.130791 1 
1306269 
i3o  2628 
1299987 
129734- 
1 29  4707 

10.129  ^067 
128  9428 
1286790 
i284i5? 
128  i5i4 
1278877 

10.1276240 
127  36o4 
1 27  0968 
1268332 
1 26  6698 
1 26  3o63 
10.1260429 

125  7796 
1266162 

126  253o 
1249898 
1247266 

10.1244635 
1 24  2oo4 
1239373 
1236743 
I23  4ii4 
I23i485 

10.122  8856 


10.0920424 
092 1 342 
0922260 
0923180 
0924099 
0926020 

10.0926941 
0926862 
0927784 
0928707 
0929630 

0930554 
10.0931478 
0932403 
0933329 
0934255 
0935181 
0936108 
10.0937036 
0937964 
0938893 
0939823 
0940753 
0941683 
10.0942614 
0943546 
0944478 
0945411 
0946344 
0947278 
10.0948213 
0949148 
0960084 
0961020 
0961967 
0962894 
10.0953832 
0964770 
0966709 
0966649 
0967689 
0968530 
10.0969471 
0960413 
0961356 
0962299 
0963243 
0964187 
10.0966132 
0966077 
0967023 
0967969 
0968916 
0969864 
10.0970812 
0971761 
0972711 
0973661 
0974611 
0976662 
10.0976614 


dif  1" 


dif.l' 


tang. 


co-sec. 


i5.3o 

i5.3o 

i5.33 

i5.32 

i5.35 

16.35 

i5.36 

16.37 

1 5.38 

i5.38 

i5.4o 

i5.4o 

16.42 

16.43 

16.43 

16.43 

16,45 

'5.47 

1 5.47 

i5.48 

i5.5o 

i5.5o 

f6.5o 

15.62 

i5.53 

i5.53 

i5.55 

16.55 

16.67 

i5.68 

1 5.58 

i5.6o 

1 5.60 

16.62 

16.62 

i5.63 

15.63 

1 5.66 

16,67 

16,67 

i5.68 

i5.68 

16.70 

15,72 

16.72 

16.73 

16.73 

16.76 

16.76 

16.77 

15.77 

15.78 

i5.8o 

1 5.80 

15,82 

i5,83 

i5.83 

15.83 

i5.85 

15.87 


co-Bin. 


9.9079576 
9078668 
9077740 
9076820 
907690 
9074980 
9.9074069 
9073138 
9072216 
9071293 
9070370 
91)69446 
9.906^622 
9067697 
9066671 
9066745 
9064819 
9063892 
99062964 
9062036 
9061107 
9060177 
9069247 
9o583i7 
9.9067386 
9066454 
9055522 
9054589 
9o53656 
9062722 
9.9061787 
9060862 
9049916 
9048980 
9048043 
9047106 
9.9046168 
9046230 
9044291 
9043351 
9042411 
9041470 
9.9040629 
9039687 
9038644 
9037701 
903675- 
9o358i3 
9.9034868 
9033923 
9032977 
9o32o3i 
903 I 084 
9o3oi36 
9.9029188 
9028239 
9027289 
9026339 
9025389 
9024438 
9.9023486 


6fj 

5b 
57 

56 
55 

54 
53 

52 

5i 

5o 

49 
48 

47 
46 
45 
44 
43 
42 
4' 
4o 

39 
38 

37 
36 
36 


dif.r 


34 
33 

32 

3i 
3o 
29 

28 

27 
26 

25 

24 

23 
22 
21 
20 

•9 

18 

17 
16 

5 

'4 
i3 
12 
n 
10 

9 
8 

7 
6 
5 
4 


sin. 


o 


1260 


530 


W 


# 


'!i^^' 


■270 


LOGABITHMIC     SINES,     TANGENTS,     &C. 


3fT<» 


o 
I 

2 

3 

4 
5 

6 

7 
6 

9 

lo 

11 

13 

1 3 

1 4 
i5 
i6 

«7 
i8 

'9 

20 
3( 

i3 


■ilk. 


diCl" 


9.779  463o 
7796306 
7797981 

779  9655 

780  1 328 
780  3ooo 

9.7804671 
780^341 
7808010 

780  9677 

781  1 344 
781  3oio 

9.781  4675 
78  r  6339 
781  8002 

781  96'-r4 
78a  1 324 

782  2984 
9.783  4643 

782  63or 

783  7958 
783  9614 
783  1368 
783  7933 


24(978  3  4575 


35  783  6337 
26  783  7878 
a?  783  9538 
a8  784  1 1 77 
39  784  2834 
309.7844471 
3i  78461 17 

32  784'  776a 

33  784  9406 

34  785  1049 

35  7852691 
369.7854332 

37  785  5972 

38  785  761 1 

39  785  9249 

40  7860886 

4 1  7863522 
4a  9.7864157 

43  786  5791 

44  786  7434 

45  7869056 

46  787  0687 

47  787  33 1 7 

48  9-787  3946 

49  787  5574 

50  787  7202 
5i  787  8828 

52  788  0453 

53  788  2077 
549-7883701 

55  788  5333 

56  7886044 

57  788  8565 

58  7890184 

59  789  1802 

60  9.789  3420 


eoHiin. 


27.93 

27.93 
27.90 
27.88 
27.87 
27.85 
27-83 
37.83 
27.78 
27.78 

27.77 

27  75 

27.73 

27.72 

27.70 

27.67 

27.67 

27.65 

27.63 

27.6a 

27.60 

27.57 

37.57 

27.55 

27.53 

27.53 

37.50 

27.48 

3745 

37.45 

27.43 

27.42 

37.40 

27,38 

37.37 

37.35 

37.33 

27.32 

27.30 

27.38 

37.27 
37.35 
37.a3 
27.3a 
27.30 
27.18 

27.17 
27.15 
27.13 
27.13 
37.10 
27.08 
27.07 
27.07 
27.03 
27.02 
27.02 
26.98 
26.97 
26.97 


142' 


CO^oCit 


10.22053709-877  1 1 44 


t*nf. 


3303694 

2202019 
2200345 
2198672 
2i97(xx) 

10.2195329 
2193659 
3191990 
2190323 
218  8656 
2 1 8  699f> 

10.318  5i25 
ai8  366i 
218  1998 
ai8o336 
2178676 
2177016 

10.2175357 
2173699 
217  3042 
2i7o386 
2168733 
2167078 


877  3773 
8776400 

877  9027 

878  1654 
8784281 

9.878  6907 

878  9533 
8793158 

879  478a 

879  7407 
88ooo3i 

9.880  a654 

880  5277 
8807900 

881  oSaa 
88 1  3 144 
881  5765 

9.881  8386 
88a  1007 
8ba  3627 
883  6a46 
88a  8866 
883  1 484 


dif.1" 


io.ai6  5425  9-883  4 «o3 
ai6  3773|    883  6731 

316  3123 


did" 


3i6o'f7a 
315  8823 
2i5  7176 
10.315  5520 
215  3883 

2l5  3238 

31 5  0594 

314895 

2147309 

10.314  5668 
2144028 
2142389 
2i4o75i 
2139114 
2137478 

1 0.21 3  5843 
2134209 
21 3  2576 
2i3o944 
ai3  93i3 
2127683 

io.2i3  6o54 
ai2  44a6 
212  3798 

313  1173 

an  9547 

211  7933 

10.3 1 1  6299 

21 1  4677 

211  3o56 

211  1435 

2100816 

2108108 

10.210  658o 


883  9338 

884  1956 
8844572 
8847189 

9.884  9805 

885  a4ao 
885  5o35 

885  7650 

886  0264 

886  3878 
9.886  5492 

8868io5 
8870718 

887  333o 
887  5942 

887  8554 
9.8881165 

888  3775 
888  6386 

888  8996 

889  i6o5 
8894214 

9.8896823 

889  9432 

890  ao4o 
8904647 
8907354 
8909861 

9.891  3468 

891  5o74 
891  7679 
89a  0385 
89a  3890 
893  5494 

9.89a  8098 


sec. 


43.80 
43.80 
43.78 
43.78 
43.78 

43.77 
43.77 

43.75 

43.73 

43.75 

43.73 

43.7a 

43.7a 

43.7a 

43.70 

43.70 

43,68 

43.68 

43.68 

43.67 

4365 

43.67 

4363 

43.65 

4363 

4363 

43.63 

43.60 

43.63 

43.60 

43.58 

43.58 

43.58 

43.57 

43.57 

43.57 

43.55 

43.55 

43.53 

43.53 

43.53 

43.53 

43  5o 

43.5a 

43.5o 

43.48 

43.48 

43.48 

43.48 

43.47 
43.45 
43.45 
43.45 
43.45 
43.43 
43.43 
43.43 
43.43 
43.40 
43.40 


co-taog. 


eo-tang. 


dif.r' 


10.122  8856 
1226228 

122  3600 

1 23  0973 

131  8346 
121  5719 
lo.iai  3093 
121  0467 
1 20  7842 
iao52i8 
I3oa5o3 
119 
10.1197 
1194723 
1102100 
MS  9478 
118  6856 
1184235 
10.118  i6i4 
1 17  8993 
1176373 
117  3754 
117  ii34 
ii685i6 
10.1165897 
1163279 
116  0662 
1 1 5  8044 
1155428 
11 5  2811 
10.1150195 
1147580 
1144965 
ii4  2j5o 
1 1 3  9736J 
1137132 
io.ii3  45o8 
II 3  1895 
1129382 
1130670 
1 1 3  4o58 
113  i446 
lo.iii  8835 
III  6225 
III  36i4 
III  ioo4 
iio83o5 
1105786 
io.iio3i77 
II0  0568 
1097 
109  5353 
109  3746 
1090139 
10,1087533 
108  4926 

108  3J3I 
1079715 
1077110 

107  45o6 
10.107  1902 


sec. 


10.0976514 
0977466 
0978419 
097937a 
0980336 
0981381 

10.0983336 
098319 
0984148 
0985105 
0986062 
0987020 

10.0987979 
0988938 
098.;898 
0990858 
0991819 
0993781 

10.0993743 
0994706 
0995669 
0996633 
0997597 
0998563 

10.0999538 
1000494 
100 I 461 
1003438 


dif.  1" 


15.87 

1 5.88 
1 5.88 
15.90 
15.93 
15.92 
15.93 
15.93 
15.95 
15.95 
15.97 
§5.98 
15.98 
i6.fx> 
16.00 

l6.03 

i6,o3 
i6.o3 
i6.o5 
i6.o5 
16.07 
16.07 
16.08 
16.10 
16.10 
16.13 
16.13 
i6.i3 


co-mn. 


1003396'"-'^ 


tang. 


1 0.1 005333 
ioo63o3 
1007373 
1008344 
1009316 
1010188 

io.ioiii6o 
ioiai33 
101 3 I 07 
ioi4o8i 
ioi5o56 
ioi6o3a 

10.1017008 
1017985 
1018963 
1019940 
1030918 
102 1897 

10.1022877 
1023857 
I024838 
1025819 
1026801 
1027784 

10.1028767 
I 03975 I 
io3o735 
io3i72o 
1033706 
1033692 

10.1034679 


16.17 

16.17 

16.18 

16.20 

16.20 

16.20 

i6.a2 

16.33 

i6.a3 

i6.35 

16.37 

16.37 

16.38 

16.38 

i6.3o 

i6.3o 

16.33 

16.33 

16.33 

16.35 

16.35 

16.37 

1 6.38 

1 6.38 

16.40 

16.40 

16.43 

16.43 

16.43 

16.45 


9.9033486 
902*2534 
9021 58i 
9030628 
9019674 
9018719 

9.9017764 
9016808 
901 5852 
9014895 
9013938 
9012980 

9.9012021 
9011062 
9010102 
9009142 
9008181 
9CI073I9 

9.9006357 
9005294 
9004331 
9003367 
9003403 
9001438 

9.9000472 
8999506 
8998539 
89975-2 
8996604 
8995636 

9.8994667 
8993697 
8993727 
8991756 
8990784 
8980812 
9.8988840 

8987867 

8986893 

8985919 

8984944 
8983968 

9.8982992 
8982015 
8981038 
8980060 
8970082 
8978103 

9.8977133 
8976143 
8975162 
89741 8 I 
8973199 
8972216 

9.8971233 
8970349 
8969365 
8968280 
8967294 
8966308 

9.8965331 


c<Mwc.   diC  1" 


aau. 


6o| 


57 
56 
55 

54 
53 

52 

5 1 
5o 

49 
48 

47 
46 
45 
44 
43 
42 
41 
40 

3b 

37 
36 
35 
34 
33 

32 

3 1 

3o 

l^ 

27 
26 

25 

24 

23 
22 
21 

20 

'9 
18 

>7 
16 
i5 

i4 
i3 
la 
II 
10 

I 

7 
6 
5 

4 
3 
a 
I 
o 


12T<» 


5«« 


LOGARITHMIC  SINES,  TANGENTS,  &C. 


38» 


271 1 

1410 


o 
I 
2 
3 
41 


7 
8 

9 

10 

II 
12 
i3 
i4 
i5 
16 

18 

»9 

20 
21 

aa 

a3 
24 

25 

26 

27 
28 

It 

3i 

32 

33 
34 
35 
36 

37 
38 
39 
4o 

4i 
42 
43 
44 
45 
46 

47 
48 

49 

5o 

5i 

52 

53 

54 
55 

56 

57 
58 


8in. 


9.789  3420 
789  5o36 
789  6653 


Ait.1" 


26.93 

36.93 


7898266^5-9^ 
,  7«9  988oill? 

te3f?4'^^-?^ 

79^6325:^5  80 

^So?]^6.8o 
7909541 

791  1 148 

9.791  3754 


co-8ec. 


36.78 

26.77 

79^4359^^.75 
791  5963  ^  ' 

7936727^,^ 

793  83i7r2'r 

^9.^26.48 

7947841  ^2  j^ 

795  575  I 

795  733o 

79^  «909  ^6  28 
9-796  o486  ^^-^^ 

7<f>  2062 

796  3638 
7965212 

796  6786 '"• 
L^fi  u'ic.    20.22 
7968359  g  8 

9.7969930 

797  '5oi 
7973071 
797  464o 
797  6208 

797  7775 
9-797  9341 

798  0906 
798  2470 
7984034 
798  5596 
7987158 

9.7988718 


eo-sin. 


26.33 
26.32 
26.32 
26.28 
26.27 
26.27 
26.23 
26.23 

32 

26.18 
26.17 
26.15 
26.13 
26.12 
26.10 
26.08 
26.07 
26.07 
26.03 
26.03 
26.00 


dif.1" 


io.3io658o 
2104964 
210  3348 
aio  1734 

2100I30 

209  85o7 
10.209  6896 
209  5285 
209  3675 
209  2067 
209  0459 
208  8852 

10.208  7246 
208  564 1 
208  4o37 
208  2434 
ao8o832 
307  9231 

10.2077631 
207  6o32 
207  4434 
207  2837 
207  1240 
206  9645 

10.206  8o5 1 
206  6457 
206  4865 
206  3273 
306  1 683 
2060093 

ro.2o5  85o4 
2056917 
3o5  533o 
2o5  3744 
2o5  2159 
ao5  0575 

10.204  8993 
3o4  74io 
204  5829 
204  4249 
204  3670 
3o4  1091 

io.3o3  95 1 4 
2o3  7938 
2o3  6362 
3o3  4788 
ao3  32i4 
ao3  1641 

io.3o3  0070 
302  8499 
202  6929 
202  536o 
202  3792 

202  3225 

lo.aoa  0659 
aor  9094 
201  753o 
aoi  5966 
201  44o4 
aoi  2842 

lo.aoi  1282 


tang. 


9.892  8098 
893  0702 
893  33o6 
893  5909 

893  8511 

894  iii4 
9.8943715 

8946317 


di£l' 


8948918 

l5lQ 


895 

8954119 

8956719 

9.8959319 

896I9I8 
8964517 

896  71 16 
8969714 
8972313 

9.897  4010 

897  7507 
8980104 

898  2700 
8985296 

898  7892 
9.899  048 

8993082 

899  5677 
8998271 
90-j  o865 
9003459 

9.9006052 

900  8645 

901  1237 
901  383o 
901  6422 

901  9013 
9.903  1604 

9034195 

902  6786 

902  9376 

903  1966 
9o3  4555 

9.9037144 

903  9733 

904  2321 

9044910 

904  7497 
9o5oo85 

9905  2672 

905  5259 

905  7845 
.  9060431 

906  3oi7 

906  56o3 
9.9068188 

907  0773 
907  3357 

907  5941 
9078525 

908  1109 
99083692 


sec. 


43.40 
43.40 

43.38 

43.37 

43.38 

43.35 

43.37 

43.35 

43.35 

43.33 

43.33 

43.33 

43.32 

43.32 

43.32 

43.3o 

43.3o 

43.3o 

43.28 

43.28 

43.27 

43.27 

43.27 

43.25 

43.25 

43.25 

43.23 

43.23 

43.23 

43.22 

43.22 

43.20 

43.22 

43.20 

43.18 

43.  .8 

43. r8 

43.18 

43.17 

43.17 

43.r5 

43.1 5 

43. 1 5 

43.13 

43  r  5 

43.12 

43.13 

43-12 

43.12 

43.10 

43.10 

43.10 

43.10 

43.08 

43.08 

43.07 

43.07 

43.07 

43.07 

43.05 


00-tang. 


10. 


10.] 


10. 


lO.l 


10.] 


co-tanff. 


dif.1" 


107  1902 
1069298 
1066694 
106*4091 
106  1489 
io5  8886 
io5  6285 
io5  3683 
io5  1082 
1 04  8481 
1 04  588 1 
1 04  3281 
1040681 
io3  8082 
io3  5483 
io3  2884 
io3  0286 
102  7688 
102  5090 
102  2493 
loi  9896 
1 01  73oo 
101  4704 
101  2108 
1009513 
1006918 
1004323 
100  1729 
0999135 
099  654 ' 
10.0993948 
099  1 355 
098  8763 
098  6170 
098  3578 
098  0987 
10.097  8396 
097  58o5 
0973214 
097  062.4 
0968034 
096  5445 
10.096  3856 
096  0'>6"' 
095  7679 
095  5090 
095  2  5o3 
094  991 5 
10.094  7328 
094  474 1 
094  2 1 55 
093  9569 
093  6983 
093  4397 
10.093  1813 
092  9227 
092  6643 
09a  4o59 
092  1475 
091  8891 
10.091  63o8 


sec. 


tang. 


10.1034679 
io35666 
1036654 
1037642 
io3863i 
I 03962 I 

10.1040611 
1041602 
1042594 
I043586 
1044578 
1045571 

I0.1046565 
1047560 
1048555 
1049550 
io5o547 
io5i543 

io.io5254i 
1053539 
1054537 
1055537 
io56536 
1057537 

io.io58538 
1059539 
1060542 

1061544 
1062548 
1063552 

10. 1064556 
io6556i 
1066567 
1067574 
1068.581 
1069588 

10.1070596 
1071605 
I07?6i5 
1073625 
1074635 
1075646 

10.1076658 
I 07767 I 
1078684 
1079697 
1080711 
1081726 

10.1082742 
108375R 

1084774 
1085792 
T 086809 
1087828 

10.1088847 
1089867 
1090887 
1091908 
,1092929 
1093951 

10.1094974 


dlf.  1 


co-sin. 


9.8965321 

8964334 
8963346 
8962358 
8961369 
8960379 
9.8959389 
8958398 
8957406 

89.56414 
8955422 
8954429 
9.8953435 
8952440 
8951445 
8950450 
8949453 
8948457 
9.8947459 
8946461 
8945463 
8944463 
8943464 
8942463 
9.8941462 
894046 I 
8939458 
8938456 
8937452 
8936448 
9.8935444 
8934439 
8933433 
8932426 
8931419 
89304 1 2 
9.8929404 
8928395 
8927365 
8926375 
8935365 
8924354 
9.8923342 
89223'>9 
8921316 
8920303 
8919289 
8918274 


co-sec. 


16.45 
16.47 

16.47 

16.48 

i6.5o 

i6.5o 

16.52 

16.53 

16.53 

16.53 

16.55 

16.57 

1 6.58 

i6.58 

i6.58 

16.62 

16.60 

i6.63 

1 6.63 

1 6.63 

16.67 

i6.65 

16.68 

16.68 

16.68 

16.72 

16.70 

16.73 

16.73 

16.73 

16.75 

16.77 

16.78 

16.78 

16.78 

16.80 

16.82 

i6.83 

i6.83 

i6.83 

i6.85 

16.87 

16.88 

16.88 

16.88 

16.90 

;6:i9«9.7.58 

0915236 
8914208 
891 319 
8913172 

9.891  II 53 
8910133 
8909113 
8908092 
8907071 
8906049 

9.8905026 


60 

58 

57 

56 
55 
54 
53 

52 

5. 
5o 

49 
48 

47 

46| 

45 

44 

43 

42 

4i 

40 

3 

3 

37 
36 

35 

34 
33 

32 

3i 

3o 

29 

28 

27 
26 

25 

24 

23 


II 


16.93 
16.97 
16.95 

16.98 
16.98 

1700 
17.00 
17.02 
17.02 
17.03 
17.05 


dif.1"^ 


23 
21 
30 
19 
18 

17 
16 

i5 
14 
i3 
12 
1 1 
10 

I 

7 
6 
5 

4 
3 
2 
1 
o 


H 


stn. 


128=> 


51«» 


I    '" 


I    I:!, 
til 


272 


LOGARITHMIC    SINBS,   TANGENTS,    <SSC 


14©° 


•m. 


09.798  8718 


did" 


1  799  0278 

a  799  •836 

3  7993304 

4  79949^1 

7996507 

6  9-799  8f)6a 

7  7999616 

8  800  1 169 

9  800  2721 

10  800417a 

1 1  8i>o  58a 3 

1 2  9800 7372 

1 3  800  892 1 

14  801  0468 
i5  8oi2oi5 

16  801  356r 

17  801  5io6 

18  980 1  6649 

19  8or8io2 
ao  801  97  i5 
91  802  1276 

32   8022816 

23  802  4355 
24 9802  58o4 

25  802743 1 

26  8028968 

27  8ti3  o5o4 
a8  8o3  2o38 
29  8o3  3572 
309.803  5 1  o5 

3 1  8o3  6637 

32  8o3  8i68 

33  8o3  9699 

34  8041228 

35  8042757 

36  9804  4284 

37  8o4  58ii 

38  8o4  7336 

39  8048861 

40  8o5  o385 

4 1  8o5  1908 

42  9805  343o 

43  8054951 
M    8o5  6472 

45  8o5  7991 

46  8059510 

47  806  1027 
4a|9.8o6  2544 

8064060 
8065575 
8067089 
8068602 
8070114 
9.807  1626 
807  3i36 
807  4646 
8076154 
807  7662 


49 
5o 

5 1 

52 

53 

54 
55 
56 

57 
58 
59 
60  9.808  0675 


807  9169  j5 


26.00 

25.97 

25.97 

25.95 

a5.93 

25.92 

25.00 

25.88 

25.87 

25.85 

25.85 

25.82 

25.82 

25.78 

25.78 

25.77 

25.75 

25.72 

25.72 

25.72 

25.68 

25-67 

25.65 

25.65 

25.62 

25.62 

25.60 

35.57 

25.57 

25.55 

25.53 

25.52 

35.55 

25.48 
25.48 
25.45 

25.45 
25.42 
25.4a 
25.40 
25.38 

25.37 
25.35 
2535 

25-32 
2532 

25.28 
25.28 
25.27 

25.25 
25.23 
25.22 

25.20 
25.20 
25.17 
25.17 
25.i3 
25.13 

25.12 


eo^iae. 


;? 


10 


dif.1" 


10.201  1282 
2009722 
2008164 
2006606 

2(x>  5o4 
200  34o 
10.200  io38 
200  o  J84 
1998831 

1997279 
1995728 

199  4177 

10.1992628 
190  1079 
1989532 
1987985 
1986439 
198  48o4 

10.1983351 
1981808 
1980265 
1978724 
1977184 
197  5645 

10.197  4i<36 
197  2569 
197  io33 
1969496 
1967962 
1966428 

10.1964895 
1963353 

196  i832 
1960301 
195  8772 
195  7243 

10.1955716 
1954189 
195  2664 
195  1139 
194  9615 
194  8092 

10.1946570 
194  5o49 
194  3528 
194  2009 
194  0490 
193  8973 

10.1937456 
193  5940 
1934425 
193  291 1 
193  1398 
1929886 

10.192  8374 
1926864 
192  5354 
192  3846 
192  2338 
192  o83i 

10.191  9325 


9.908  3692 
9086275 
9088858 
909  i44o 
9094022 
909 


diC  I" 


9.9099185 

910  1766 
9104347 
9106927 
9109507 
9!  1  2087 

9.91 1  4666 

911  7245 

911  9824 

912  24o3 
912  4981 

912  7559 

9.913  01 37 

913  2714 
913  5291 

913  7868 
9140444 

914  3o2o 

9.914  5596 
9148171 

915  0747 

915  3322 

9155896 
9158471 
9.916-1045 
9163618 
9166102 
9168765 

917  i338 
9173911 

9.9176483 
9179055 

918  1627 
918  4198 
9186769 
9189340 

9919  1911 
9194481 
9197051 
9199621 
920  2191 
920  4760 

9.920  7329 

920  9898 

921  2466 
921  5o34 

921  7602 

922  0170 
9.922  2737 

922  53o4 

922  7871 

923  0437 
923  3oo4 
923  5570 

9.9238135 


43.o5 
43.o5 
43. o3 
43.o3 
,  43.02 
1 43.03 


i»»-taiif. 


10.091  63u8 


091  3725 
091  it42 

0908560 


8 


MC. 


43.02 

43.02 

43.00 

43.00 

43.00 

42.98 

42.98 

42.98 

42.98 

42.97 

42.97 

42.97 

42.95 

42.95 

42.95 

42.93 

42.93 

42  93 

42.92 

42.93 

42.92 

42.90 

42.92 

42.90 

42.88 

42.90 

42-88 

4288 

4288 

42.87 

42.87 

42.87 

42. 8§ 

42.85 

42.85 

42.85 

42.83 

42.83 

42.83 

42.83 

42.82 

4282 

42.82 

42.80 

42.80 

42.80 

42.80 

42.78 

42.78 

42.78 

42.77 

42.78 

42.77 

42.75 


10.1094974 


eo-tang. 


dif.  1" 


09059 
0903397 
.090  08 1 5 
0898234 
089  5653 
089  3073 
089  0493 
088  701 3 

10.088  5334 
088  2755 
0880176 
0877597 
087  5019 
087  2441 

10.086  9863 
0867286 
0864709 
086  2 1 32 
0859556 
0856980 

10.085  44o4 
o85  1839 
0849253 
0846678 

084  4  >^ 
084  i529 

io.o83  8955 
o83  638? 
o83  38o8 
o83  1235 
0828662 
0826089 

10.082  35i7 
082  0945 
081  8373 
081  58o2 
081  323i 
081  0660 

10.080  8089 
080  5519 
0802949 
080  o379 
079  7809 
079  5240 

10.079  ^67 1 
079  0102 
078  7534 
0784966 
078  2398 
077  9830 

10.077  7263 
077  4696 
077  2129 
0769563 
0766996 
076  443o 

10.076  1 865 


tang. 


1095997 
I 09702 I 
1098046 
I 09907 I 
1100097 
10. 1 101 1 23 

I102l5o 

I 103178 
I 104206 
iio5235 
1 106264 

10.1107294 
T108325 
1109356 
ino388 
1 11 1420 
1112453 

10.1113487 
1114521 
iii5556 
1116592 
1117628 
1118665 

10.1119702 
1 1 20740 
1121779 
1122818 
1123858 
1 1 24898 

10.1125939 
1126981 
1128023 
1129066 
ii3oiio 

ii3ii54 
io.ii32i99 

1 1 33244 
1 134290 
1135337 
1136384 
1137432 

10. 11 38481 
1 1 39530 
1  i4o58o 
ii4i63o 
1142681 
1143733 

10.1144785 
1145838 
1 146891 
1147945 
1149000 
1 1 5oo55 

io.ii5iiii 
ii52i68 
1 1 53225 
1154283 
II 55341 
ii564oi 

10. 1 157460 


dif.  I" 


17.05 

17*07 

17.08 
17.08 
17.10 
17.10 
17.12 
17.13 
17.13 
17.15 
17.15 
17.17 
17.18 
1718 

17.20 
17.20 
17.22 
17.23 
17.23 
17.25 
17.27 
17.27 
17.28 
17.28 
17.30 
17.32 
17.32 
17.33 
17.33 

17.35 

17-37 
17.37 

17.38 
17.40 
17.40 

17.42 
17.42 

17-43 
17-45 
17-45 
17.47 
17-48 
17.48 
17.50 
17.50 
17.52 
17.53 
17.53 
17.55 
17.55 

17.57 
17.58 
17.58 
17.60 
17.62 
17.62 
17.63 
17.63 
17.67 
17.65 


co^in. 


9.8905036  60 
8904003  59 
8902979  58 
89^1954  5j| 


8900929 


co-snc. 


dif.  1" 


88999o5f^ 
9.8898877  54 
8897850  53 
8896822  53 
8895794  5  r 
8894765  5o 
8893736  49 
9.88927116  48 
889167547 
8890644  46 
888961245 
8888580  U 
8887547  43 
9-88865 1 3  42 
8885479  41 
8884444  4o 
88834o8  39 
8882372  38 
888133537 
9.8880298  36 
8879260  35 
8878221  34 
8877182  33 
8876142  32 
£875102  3i 
9.0874061  3<) 
8873019  29 
8871977  28 
8870934  27 
8869890  26 
8868846  25 
9.8867801  24 
8866756  23 
88657 1 022 
8864663  21 
886361620 
8862568  19 
9.886151918 
8860470  17 
8859420  16 
8858370  i5 
8857319  i4 
8856267  ~ 
9-8855215 
8854 I 63 
8853 I 09 
8853055 
885 I 000 
8849945 
9.8848889 
8847833 
8846775 
8845717 
8844659  2 
8843599  1 
9.8842540  o 


i3 
12 
II 

10 


Bin. 


1290 


50< 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


273 


40« 


139c 


Bin. 


1 
a 
3 

4 
5 
6 

7 
8 

9 

10 

II 
12 
i3 
i4 
i5 
16 

17 
18 

20 

21 
22 
23 
24 
25 
26 
27 
28 
29 

3o 
3i 

32 

33 

34 
35 
36 

37 
38 

39 
4o 

4i 

42 

i^ 

44 

45 

46 

47 

48 

49 

5o 
5i 

52 

53 
54 
55 
56 

57 
58 


9.808  0675 
8082180 
808  3684 

808  5 188 
8086690 
8088192 

9.808  9692 

809  1 1 92 
809  2691 
8094189 
809  5686 
809  7182 


9.8c 
8 
8 
8 
8 
8 

9.8 
8 
8 
8 
8 
8 

98 
8 
8 
8 
8 
8 

9.8 
8 
8 
8 
8 
8 

9.8 
8 
8 
8 
8 
8 

9.8 
8 
8 
8 
8 
8 

9.8 
8 
8 
8 
8 
8 

9.8 
8 
8 
8 
8 
8 

9.8 


.9  8678 
00172 
o  1666 

0  3i59 
o465o 

o6i4i 
07631 
09121 

1  0609 
1  2096 
1  3583 
I  5069 
16554 
i8o38 

1  9521 

2  ioo3 
2  2484 
23965 
2  5444 

2  6923 
28401 
29878 
3i354 

3  2829 
3  43o3 
35777 

3  725o 
38721 
40192 

4  1662 
43i3i 
44600 
46067 
47534 
48999 

5  o464 
5  1928 
53391 
5  4854 
5  63i5{ 
57776 

5  9235 
60694 

6  2l52 

6  3609 
6  5o66 
66521 
67975 
69429 


di£l" 


co-8in. 


25.08 
25.07 
25.07 
25.o3 
25.o3 
25.00 
25.00 
24.98 
24.97 
24.95 
24-93 
24.93 
24.90 
24.90 
24.88 
24.85 
24.85 
24-83 
24.83 
24.80 
24.78 
24-78 
24.77 

24-75 
24-73 
24.72 
24.70 
24.68 
24.68 
24.65 
24.65 
24.63 
24.62 
24.60 
24.58 

2457 
24.57 
24.55 
24.52 
24.52 
24.50 
24.48 
24.48 
24.45 
24.45 
24.42 
24.42 
24.40 
24.38 
24.38 
24-35 
2-4-35 

24-32 
24-32 

24-3o 
24.28 
24.28 
24.25 
24.a3 
24.23 


dif.l" 


co-sec. 


130«> 


10 


10 


10. 


10 


10, 


10 


10 


10 


10, 


10 


10, 


191  9325 
191  7820 
191  63i6 
191  4812 
191  33io 
191  1808 
191  o3o8 
1908808 
1907309 
190  5811 

1904314 
190  2818 

190  l322 
1899828 
1898334 

189  684 1 
189  535o 
1893859 
189  2369 
1890879 
1889391 
188  7904 
1886417 
1884931 
188  3446 
188  1962 

1880479 
187  8997 
1877516 
1876035 
187  4556 
187  3o77 
187  1599 
1870122 
186  8646 

1867171 
186  5697 
1864223 
186  2750 
186  1279 
i85  9808 
i85  8338 
1856869 
1 85  5400 
i85  3933 
i85  2466 
i85  looT 
1849536 
1848072 
1846609 
i84  5i46 
1 84  3685 
184  2224 
1840765 
1 83  9306 
183  7848 
i83  6391 
i83  4934 
i83  3479 
i83  2025 
i83o57i 


Bee. 


tanf. 


9.9238135 
924  0701 
924  3266 

924  5831 

924  8396 
9250960 

9.925  3524 

925  6088 

925  8652 

926  I2l5 

926  3778 
9266341 

9.926  8904 

927  1 466 
927  4028 

927  6590 
9279132 

928  1713 

9.928  4274 
928  6835 

928  9396 
939  1956 
9294516 

929  7076 

9.929  9636 
93o2io5 

930  4755 
930731 4 

930  9872 

93 1  2431 
9.931  4989 

93 1  7547 

932  oio5 
932  2662 
932  5220 

932  7777 

9.933  o334 

933  2890 
933  5446 

933  8oo3 

934  0559 
9343114 

9.934  5670 
9348225 

935  0780 
9353335 
935  5889 

935  8444 
.936  0998 

936  3552 
936  6io5 

936  8659 
93^  1212 

937  3765 
.9376318 
9378871 

938  i423 
938  3975 
938  6527 
938  9079 
.939  i63i 


co-tang. 


dif.r 


42.77 
42.75 
42.75 
42.75 
42.73 
42.73 
42.73 
42.73 
42.72 
42.72 
42.72 
42.72 
42.70 
42.70 
42.70 
42.70 
42.68 
42.68 
42.68 
42.68 
42.67 
42.67 
42.67 
42.67 
42.65 
42.67 
42.65 
42.63 
42.65 
42.63 
42.63 
42.63 
42.62 
42.63 
42.62 
42.62 
42.60 
42.60 
42.62 
42.60 
42.58 
42.60 
42.58 
42.58 
42.58 
42.57 
42.58 
42.57 
42.57 
42.55 
42.57 
42.55 
42.55 
42.55 
42.55 
42.53 
42.53 
42.53 
42.53 
42.53 


dif.r 


35 


co-tang. 


10.076  i865 
075  92 
07567 
0754169 
075  i6o4 
074  9040 

10.074  0476 
0743912 
074  io48 
073  8785 
073  6222 
073  3659 

10.073  1096 
072  8534 
072  5972 
072  34 10 
072  0848 
071  8287 

10.071  5726 
071  3i65 
071  o6o4 
070  8044 
070  5484 
070  2924 

10.070  o364 
0697805 
069  5245 
0692686 
0690128 
0687569 

10.068  5oi  1 
0682453 
0679895 
0677338 
067  4780 

067  2223 

10.0669666 

066  71 10 

0664554 

o6()  1997 
o65  9441 
065  6886 

io.o65  433o 
o65  1775 
064  9220 
064  6665 
064  4i  1 1 
o64  i556 

io.o63  9002 
o63  6448 
o63  3895 
o63  i34i 
062  8788 
062  6235 

10.062  3682 
062  1129 
061  8577 
061  6025 
061  3473 
061  0931 

10.060  8369 


taug. 


sec. 


10. 


10. 


10, 


10. 


10. 


10. 


10. 


10. 


10, 


10. 


10, 


157460 

1 5852 1 

159582 

160643 

161706 

162768 

163832 

164896 

I 6596 I 

167026 

168002 

169139 

170226 

171294 

172362 

173432 

174501 

175572 

176643 

177715 

178787 

179860 

180933 

182008 

i83o82 

i84i58 

185234 

i863ii 

187388 

188466 

189545 

190624 

191704 

192785 

193866 

194948 

196030 

197113 

198197 

19928 1 

2oo366 

201452 

202538 

2o3625 

20471 3 

2o58oi 

206890 

207979 

209070 

210160 

211252 
212344 
213437 

2i453o 

2 I 5624 

216719 
2I78I4 
218910 
220006 
221104 

222201 


co-sec. 


dif.l' 


7.68 
7.68 
7.68 

7.72 
7.70 
7-73 
7.73 
7.75 
7.75 

7-77 
7.78 
7.78 
7.80 
7.80 
7.83 
7.82 
7.85 
7.85 
7.87 
7.87 
7.88 
7.88 
7.92 
7.90 
7.93 
7.93 
7.95 
7.95 

7-97 
7.98 
7.98 
8.00 
8.02 
8.02 
8.o3 
8.o3 
8.o5 
8.07 
8-07 
8.08 
8.10 
8.10 
8.12 
8.i3 
8.i3 
8.i5 
8.i5 
8.18 
8.17 
8.20 
8.20 
8.22 
8.22 
8.23 
8.25 
8.25 
8.27 
8.27 
8.3o 
8.28 


9.8842540 

8841479 
18 


88382 

8837 
9-8836 
8835 


dif.l" 


co-Bin. 


88404 - - 
8839357 


194 
232 
168 

io4 


8834o39 
8832974 
8831908 
883o84 

9.882977. 
8828706 
8827638 
8826568 
8825499 
8824438 

9.8823357 
882228' 
882121. 
8820140 
8819067 
8817993 

9.8816918 
88 1 5843 
8814766 
8813689 
8812612 
8811534 

9.8810455 
8809376 
8808296 
8807215 
8806134 
88o5o52 

9.8803970 
8802887 
88oi8o3 
88007 1 9 
8799634 
8798548 
.8797462 
8796375 
8795287 

8794199 
8793110 

8792021 

1 8790930 

8789840 

8788748 

8787656 

8786563 

8785470 

9.8784376 

878328 

878218 

878109 

8779994 
8778896 

9.8777799 


Bin. 


60 

59 
58 

57 
56 
55 
54 
53 

52 

5i 
5o 

^f 
48 

47 

46 

45 

44 

43 

42 

41 

4o 

3c 

3^ 

37 
36 

35 

34 
33 

32 

3i 
3o 
29 
28 

27 
26 

25 

24 

23 
22 
21 

20 

19 

18 

17 
16 

i5 
i4 
i3 
12 
II 
10 

I 

7 
6 
5 

4 
3 
2 
1 
o 


490 


iff'll 


!i>i 


nnflf  I 


274 


LOGAEITHMIC     SINKS,     TANGENTS,     &C. 


410 


1 
a 
3 

4 
5 
6 

7 
8 

9 

10 

II 


■in. 


dif.  1 " 


f3 

H 
i5 
i6 

17 
18 
19 

a  I 
22 

23 

24 

Ia5 
26 
a? 

2d 

39 

3o 
3i 

32 

33 
J4 

36 

3? 
38 

39 
4o 
4i 
42 
43 
44 
45 
4lo 


09.8169429 

II  8170882 
2  817  2334 
3  8173785 
4  8175235 
8176685 
9.817  8i33 

817  9581 

818  1028 
818  2474 
8183919 

818  5364 

i%.8i8  6807 
'  8188250 
8189692 
8191133 
8192573 
8194012 
9.8195450 
8196888 
8198325 
8199761 
820  1196 

1820  26io 
24  9.820  4o63 
25    820  5496 
820  6927 

820  8358 
8209788 

821  1217 
9.821  26461 

821  4o73r^-'7? 

821  5500^,"^^ 
82i6926n-77 
821  85'--|2i.75 


24-22 
24.20 
24.18 
24.17 

24.17 
24.13 
24.13 
24.12 
24.10 
24.08 

a4-o8 

24.05 

24-o5 

24.03 

24.02 

24.00 

23.98 

23.97 

23.97 

23.95 

23.93 

23.92 

23.90 

23.88 

23.88 

23.85 

23.85 

23.83 

23.82 

23.82 

23.78 


ooHiec. 


io.i83  0571 
1829118 
1827666 
1826215 
i8a  4765 
182331 51 

10.182  1867 
182  0419 
1818972 
181  7526 
181  6081 
181  4636 


1380 


tMog.        dir.l"      co-tonf. 


9.939  i63i 
9394182 
9396733 

939  9284 

940  i835 
940  4385 


I9.940  6936 

940  9486 

941  2o36 
941  4585 
94r  7135 
941  9684 


loj  ciuau  y4i  9004 
IO.181  3193I9.942  2233 


181  1750 

181  o3o8 
1808867 
180  7427 
180  5988 
10.180  455o 
i8o3ii2 
180  1675 
1800239 
1798804 


942  4782 
9427331 
9429879 

943  2428 
943  4976 

9.943  7524 
9440072 
9442619 
9445166 
9447714 


1797370  9450261 
10.179  5937(9.945  2807 


5ii 


821  9775!  f^^ 
9.822  ii98p^-7^ 

822  ^eTtlllJl 

822  404^1^ 

822  5463;'^-^ 
822  6883  Ifll 

822  8302  Ydl 
9.822972.^^-^^ 

823n38'^f 

823  2555  "•''^ 


ii 


47 
48 

49 

■JHJ 

5t 

53 
54 

'56 

57 
58 


823  3971 

823  5386 

823  6800 

9.8238213 

823  9626 

824  io37 
824  2448 
824  3858 


23.60 
23.58 

23.57 
23.55 
23.55 

23.52 
23.52 

23. 5<:) 
23.48 


1794504 
1793073 
179  1642 
1790212 
1788783 

10.1787354 
178  5927 
17^4500 
1783074 
178  164 
178022 

10.1778802 
1777379 
1775958 
1774537 
1773117 
177  '698 

10.1770279 
1768862 
1767445 


824  5267rs% 

>.834  6676Pt1c 


8248083 
8249490 
825  0896 

825  23oi 
825  3705 
60I9.835  51091 


co-fltn. 


23.45 
23.43 
23.42 
2  3.4( 
23.40 

dif.l" 


1766029  9506248 

1764614  9508791 

1763200  95 1  i334 

10.17617879.951  3876 


945  5354 
9457900 
9460447 

946  2993 

946  553. 
9.9468084 

947  o63o 
947  3175 
947  5720 

947  8265 
9480810 

9.948  3355 

948  5899 
948  844  J 
9490987 
9493531 
9496075 

9.9498619 
950  1162 
950  3705 


1760374 
1758963 
175  7552 
1756142 
1754733 

10.1753324 
175  1917 
i75o5io 
174  9104 
1747699 
1746295 

10.174  4891 


aee. 


95i  64(9 

951  8961 

952  i5o3 

952  4o45 
9526587 

9.9529128 

953  1670 
9534211 
953  6752 

953  9293 

954  i834 
9.954  4374 

co-lang. 


42.52 

42.52 

42.52 

42.52I 

42. 5o 

42.52 

42. 5o 

42. 5o 

42.48 

42. 5o 

42.481 

42.48 

42.48 

42.48 

42.47 
42.48 

42.47 

42.47 

42.47 

42.45 

42.45 

42.47 

42.45 

42.43 

42.45 

42.43 

42.45 

42.43 

42.43 

42.42 

42.43 

42.42 

42.42 

42.42 

42.42 

42.42 

42.40 

42.40 

42.40 

42.40 

42.40 

42.40 

42.38 

42.38 

42.38 

42.38 

42.38 

42.37 

42.38 

42.37 

42.37 

42.37 

42.37 

42.35 

42.37 

42.35 

42.35 

42.35 

42.35 

42.33 


10.0608369 
o6o58i8 
0603267 
I  0600716 
0598165 
©59561 5 
10.0593064 
o5oo5i4 
0587964 
o58  54i5 
o58  2865 
o58o3i6 
io.o57  7767 
o57  5218 
©572669 
0570121 
o56  7572 
o56  5o24 
io.o56  2476 
o55  9928 
o55  7381 
o55  4834 
o55  22861 
o54  9739 


■ec. 


10.0547193  10.1248744 


10.1222201 
12233oO 

1224399 
1225499 

1226599 

1227700 

10.1228802 

1229904 

I23I007 

1232II1 

1233215 
1234320 
10.1235426 
1 236.532 
1 237639 

1238747 
1239855 
1 240964 
10.1242073 
1243184 
1244294 
1245406 
12465 I 8 
1 24763 1 


dif.  1" 


o54  4646 
o54  2100 
o53  9553 
o53  7007 
o53  4461 

io.o53  1916(10 
o52 
o52 

o52  4280 
o52  1735 
o5i  9190 

io.o5i  6645 
o5i  4ioi 
o5i  i557 
0509013 
0506469 


o5o  3o25   1 267773 


1249858 

1250973 

1252088 

i2532o5 

1 25432 1 

.1255439 

1256557 

1257675 

1 258795 

1259915 

1261035 

10.1262156 

1263278 

I 26440 I 

1265524 

1266648 


dif  l" 


io.o5o  1S81 
049  8838 
049  6295 
049  3752 
049  1 209 
048  866fi 

10.0486124 
048  358 1 
048  1039 
047  8497 
047  5955 
04734 1 3 

10.047  0872 
046  833a 
046  5789 
046  3248 
o46  0707 
045  8166 

10.045  5626 


tang. 


10.1268898 
I 270024 
I27ii5i 
1272278 
1 273406 
1274534 

10.1275663 
1 276793 
1277924 
1 279055 
1280187 
I28i3i9 

10-1282452 
1283586 
1284721 
1 285856 
1286992 
1288128 

10.1289265 


18.32 
18.32 
18.33 
18.33 
18.35 
18.37 
18.37 
18.38 
18.40 
18.40 
18.42 
18.43 
18.43 
18.45 
18.47 
18.47 
18.48 
18.48 
18.52 
i8.5o 
18.53 
18.53 
18.55 
18.55 
18.57 
18.58 
18.58 
18.62 
18.60 
18.63 
18.63 
8.63 
18.67 
18.67 
18.67 
18.68 

18.70 

18.72 

18.72 

18.73 

18.75 

18.75 

18.77 

18.78 

18.78 

18.80 

18.80 

18.8:? 

18-83 

18.85 

i8.85 

18.87 

18.87 

18.88 

18.91 


co-iin. 


9-8777799 
0770700 

877560 

877450 

877340 

8772300 

9.8771 198 

8770096 

8768993 

8767889 

8766^85 

8765680 

9.8764574 
8763468 
8762361 
8761253 
8760145 
8759036 

9-8757927 
8756816 
8755706 
8754594 
8753482 
8752369 

9-8751256 
8750142 
874902-7 

8747912 
8746795 
8745679 

9-8744561 
8743443 
8742325 
8741205 
8740085 
8738965 

9-8737844 
8736722 
8735599 

873447f> 
873335 
8732227 
9.8731 102 
8729976 
8728849 
87277^2 

8726594 
8725466 
9.8724337 
8723207 
8722076 
8720945 
8719813 
871868 
'19-8717548 


18.92 
18.92 
18.93 
18.93 
18.95 


co-iec. 


8716414 
8715279 
8714144 
8713008 
8711872 
9.8710735 


dif.l" 


60 

59 

58 

56| 
55 
54 
53 

52 

5i 

5c^ 

49 
48 

47 

46 

45 

44 

43 

42 

4i 

4o 

39 

38 

37 

36[ 

35 

34 

33 

32 

3o 

2 

2 

27 
26 

25 

24 

23 
22 
21 

20 

•9 
18 

•7 

16 

r5 

14 

i3 

12 

II 

10 

9 

8 

7 

6 

5 

4 

3 

2 

1 

o 


Bin. 


1310 


48° 


LOGAEITHMIC     SINES,     TANGENTS,     ^C. 


276 


4ao 


larro 


■in. 


o 
1 
2 
3 

4 
5 
6 

7 
8 

9 

10 

11 
12 
i3 

i4l 

i5 

16 

17 
18 

•9 
20 

21 

22 

23 

24 

25 

26 
27 
28 
29 

3o 
3i 

32 

33 
34 
35 
36 

37 
38 

39 
40 
4i 
42 
43 
44 
45 
46 

47 

48 

t 

5i 

52 

53 

54 
55 
56 

57 
58 

59 
60 


9.825  5109 
825  6512 

825  70i3 
8259314 
8260715 

826  21 14 
98263512 

8264910 
8266307 

826  7703 
8269098 

827  0493 

9.827  1887 
827  3279 
827  4671 
8276063 
827  7453 

827  8343 
9.8280231 

828  1619 
8283006 
828  4393 
828  5778 
828  71 63 

9.828  8547 

828  9930 

829  l3l2 

829  2694 
829  4075 
829  5454 
9.8296833 
8298212 

829  9589 
8300966 

830  2342 

83o37i7 
9830  5091 

83o6464 
83o  7837 

830  9209 

83 1  o58o 
83 1  1950 

9-831  3320 
83 1  4688 
83i  6o56 
83 1  7423 

83 1  8789 

832  oi55 
9832  1 519 

832  2883 
832  4246 
832  5609 
832  6970 

832  8331 
9-832  9691 

833  io5o 
833  2408 
833  3766 
833  5122 
833  6478 

9.833  7833 


did' 


23.38 
23.35 
23.35 
23.35 

23.32 

23. 3o 
23.3o 
23.28 
23.27 

23.25 
23.25 
23.23 

23.20 
23.20 

23.20 

23.17 
23.17 
23.i3 
23.13 

23.12 
23.12 

23.08 
23.08 

23.07 
23.o5 
23.o3 
23.o3 
23.02 
22.98 
22.98 
22.98 
22.95 
22.95 
22.93 
22.92 
22.90 

22.88 
22.88 

22.87 

22.85 
22.83 
22.83 

22.80 
22.80 

22.78 
22.77 
22.77 
22.73 
22.73 
22.72 
22.72 

22.68 
22.68 

22.67 

22.65 
22.63 
22.63 

22.60 
22.60 

22.58 


co-»n. 


co-sec. 


10 


10. 


10 


10. 


diCl' 


10. 


10 


10. 


10. 


10. 


10. 


10. 


74  4891 
74  3488 
74  2087 

740686 
73  9285 
73  7886 

73  6488 
73  5090 
73  3693 
73  2297 
73  0902 
72  9507 
72  81 13 
726721 
72  5329 
72  3937 
72  2547 
72  ii57 
71  9769 
7i838i 
71  6994 
71  5607 
71  4222 
71  2837 
71  1453 
71  0070 
70  8688 
707306 
70  5025 
70  4546 
703167 
70  1788 
700411 
699034 
697658 
696283 
694909 
693536 
692163 
690791 
68  9420 
68  8o5o 
686680 
;68  53i2 

68  3944 
68  2577 
68  1211 
67  9845 
678481 
677117 
67  5754 
67  4391 
67  3o3o 
67  1669 
670309 
668950 
667592 
666234 
664878 
66  3522 
662167 


tang. 


diCl" 


■ec 


966362 
9.9666157 
9668692 
9671225 
967  3759 
967  6293 

967  8827 

9.968  i36o 

968  3893 

968  6427 
9688960 

969  1493 
9694026 

9.969  6559 


42.35 
42.33 
42.33 


9.954  4374 
9546915 

954  9455 

955  T995  5^-^^ 

n^^^^y^  42.33 

9.9559615 

956  21 54 

956  4694 
956  7233 

956  9772 

957  23 II 

9.957  485o 
957  7389 

957  9927 

958  2465 
958  5oo4 

958  7542 

9.959  0080 

959  2618 
959  5 1 55 

959  7693 
9600230 

960  2767 

9.960  53o5 
9607842 

961  0378 
961  2915 
961  5452 

961  7988 

9.962  0525 

962  3o6i 

962  5597 
9628133 
9630669 

963  32o4 

9.963  5740 

963  8275 
9640811 

964  3346 

964  588 1 
9648416 

9.9650951 

965  3486 
9656020 

965  8555 

966  1089 
23 


42.32 
42.33 
42.32 
42.32 
42.32 
42.32 
42.32 
42. 3o 
42. 3o 
42.32 
42. 3o 
42.3o 
42.3o 
42.28 
42. 3o 
42.28 
42.28 
42. 3o 
42.28 
42.27 
42.28 
42.28 
42.27 
42.28 
42.27 
42.27 
42.27 
42-27 
42.25 
42.27 
42-25 
42.27 

42.*25 

42.25 
42.25 

42.25 

42.25 

42.23 

42.25 

42.23 

42.23 
42.23 
42.25 
42.22 
42.23 
42.23 
42.23 
42.22 
42.22 
42.23 
42.12 
42.22 
42.22 
42.22 


co-tang. 


co-tang. 


diCl" 


10.045  5626 
045  3o85 
045  o545 
044  8oo5 
044  5465 
o44  2925 

10.044  o385 
043  7846 
043  53o6 
043  2767 
043  0228 
o42  7689 

10.042  5i5o 
042  2611 
042  0073 
o4i  7535 
o4x  4996 
04 1  2458 

io.o4o  9920 
o4o  7J82 
o4o  4845 
o4o  23o7 
039  9770 
039  7233 

10.0394695 
039  2 1 58 
o38  9622 
o38  7085 
o38  4548 
o38  2012 

£0.o37  9475 
o37  6939 
o37  44o3 
o37  1867 
0369331 
o36  6796 

io.o36426o 
o36  1725 
0359189 
0356654 
0354119 
o35  1 584 

io.o34  9049 
o3465i4 
o34  3980 
o34  1445 
0338911 
o33  6377 

io.o33  3843 
o33  i3o8 
o32  8775 
o32  6241 
o32  3707 
o32  1173 

io.o3i  8640 
o3i  6107 
o3i  3573 
o3i  io4o 
o3o  85o7 
o3o  5974 

io.o3o  3441 


■ec 


10 


10 


10 


10 


10 


tanf. 


10. 


10. 


10, 


10. 


10. 


10. 


289265 
290403 
291542 
292681 
293821 
294961 
296102 

297244 
298387 
299530 

300674 

3bi8i8 

302963 

3o4io9 

3o5256 

3o64o3 

30755 I 

308699 

309848 

310998 

3i2i49 

3i33oo 

3i4452 

3i56o4 

316758 

317912 

319066 

320221 

321377 

322534 

323691 

324849 

326008 

327167 

328327 

329488 

330649 

33i8ii 

332974 

334 I 37 

3353oi 

336466 

337631 

338797 

339964 

341 i32 

342300 

343469 

344638 

345808 

346979 

3481 5i 

349323 

350496 

351669 

352844 

354019 

355194 

356371 

357548 

358725 


diCl" 


8.97 
8.98 
8.98 
9.00 
900 
9-02 
9.03 
9-o5 
9-o5 
9.07 
9.07 
9.08 

9- 
9- 


o 
2 
2 
3 
3 
5 

7 
8 

8 
9.20 
9.20 
9.23 
9.23 
9.23 
9.25 
9.27 
9.28 
9.28 
9.30 
9.32 
9.32 
9.33 
9.35 
9.35 
9.37 
9.38 
9-38 
9-4o 
9.42 
9-42 
9-43 
9-45 
9-47 
9-47 
9-48 
9-48 
9.50 
9-52 
9.53 
9-53 
9.55 
9.55 
9-58 
9-58 
9-58 
9.62 
9.62 
9.62 


eo-»m. 


9.8710735 
8709597 
8708458 
8707319 
8706179 
8705039 

9.87o38< 


87027 

8701613 

8700470 

8699326 

8698182 

9.869-'o37 
869589 
8694744 
8693597 
8692449 
8691301 

9.8690152 
8689002 
868785 
8686700 
8685548 
8684396 

9.8683242 
8682088 
8680934 
867977 
867862 
8677466 

9.8676309 
86751 5 I 
8673992 
8672833 
8671673 
8670512 

9.8669351 

8668189 

8667026 

8665863 

8664699 

-  ,   8663534 

9-4?  g.866236 

"866120 

866oo36 

8658868 

8657700 

8656531 

9.8655362 
8654192 
8653o2i 
865 1849 
8650677 
8649504 

9.8648331 
8647156 
8645981 
8644806 
8643629 
8642452 

9.8641 275 


co-aec. 


difil" 


60 

59 

58 

57 
56 
55 

54 
53 

52 

5i 

5o 

49 

48 

47 
46 
45 
44 
43 
42 
4i 
4o 
39 
38 

37 
36 
35 

34 
33 

32 

3i 
3o 
29 
28 

27 
26 

25 

24 

23 
22 
21 
20 

19 
18 

n 
16 

i5 

14 
i3 
12 
II 
10 

I 

7 
6 

5 

4 
3 
a 
I 


132<= 


4T*» 


4i\ 


li: 


H"  "if' 


276 

43® 


LOGAEITHMIC     SINES,   TANGENTS,     &c 


sin* 


3 
4 


7 

8 

9 

10 

II 

1 3 

i4 

1 5 
i6 
17 

# 

20 
25 

«6 
37 
a8 

!9 


3f 

Jjp  J! 

33 
34 


diCl" 


23 

aa 

aa 

33 

39. 
23, 
Z'^i  32. 
32 
22 
23 
22 
22 

23 
22 

22 


9-833  7833 

833  9188 
834o54i 

834  1894 
834  3246 
834  4597 

6|9  J34  5948 
834  7297 
834  8646 

834  9994 

835  1 34 1 
835  96881 

9.835  4o33 
835  5I78 
8356722 
835  8066 

835  94o« 

836  0750 

9.836  2091 
836  3431 
836  4771 
836  6109 
836  7447 

836  8784 
9-83?  0121 

837  1 456 
83?  2791 
837  4195 
837  5458 
837  6790 

■3oJ9.837  8i22 

837  9453i 

838  0783 
838  3112 

838  3441 

838  4769 

36|9-838  6096 

838  7422 
•838  8747 1 

83900721 

!?9»396L 

839  27 1 9P 

9.839404 1  r^ 

839  5363P* 
8396684]" 


59 

60 


'38 

4o 
4i 
4a 
43 
44 
*•* 

4? 
48 
49 
5o 
5i 

52 

53 

54 
55 

«JfJ 

57 
58 


33 

32 
32 
32. 
22. 
32. 
23. 
23. 
32. 
22. 
33. 
32. 
33. 

22 
32 
22 
22 
23 


21 
21 
31 


839  8004J 
8399323P; 
8400642'^' 

9.840  1959 

840  3376 
8404593P; 
8405908=*' 
8407333 

840  8537 

9.840  9850 

84 1  1 163 
84 1  3474 
84 1  3785 
84 1  5095 
84 1  64o4 

9.841  77 1 3 


WHlllI* 


21 
31 
21 
21 
21 
21 
21 
21 
31 


58 

55 
.53 

.53 
.53 

.48 
48 

.47 
.45 
.45 
.43 
.43 
.40 
.40 
37 
.37 
.35 
33 
33 
.3o 
■3r) 
.38 
.38 
.35 

.25 
33 
22 

20 
20 
18 

17 

i5 

1 5 
i3 

.13 
.10 

.08 
.08 

•07 

.o5 
.o3 

.o3 
.02 
•00 

•9»| 

.98' 

.95 

■95 
92 
.93 

.90 
-88 
.87 

•87 
•85 
•83 
.82 
.82 


eo-«ee. 


10 


10 


ID 


10 


10 


10. 


10 


ID 


10. 


10 


ditl" 


10, 


.166  2167 
166081a 

i65  9459 
i65dio6 
1656754 

i65  54o3 
1 65  4o5a 
1 65  3703 
i65  1 354 
1 65  0006 
1648659 
i6Jf  73i2 
164  5967 
164  4633 

1643378 
164  1934 
164  0592 
1 63  9250 
1 63  7909 
1 63  6569 
i63  5229 
i63  3891 
i63  2553 
i63  1216 
.162  9879 

1628544 
163  7209 

163  5875 
1624542 
162  32  ro 
162  1878 
162  o547 
161  9217 
161  7888 
161  6559 
161  523i 
161  39*>4 
161  3578 
161  1353 
1609928 
16086114 
1607381 
.160  5959 
160  4637 
160  33 1 6 
160  1996 
1600677 
1599358 
1598041 
1 59  6734 
1 59  5407 
1 59  4093 
1 59  3777 
159  1 463 
1 590150 
158  8838 
158  7535 
1 58  63 1 5 
1 58  4905 
158  3596 
1 58  2287 


tang. 


9.969  6559 

9<>9909» 

970  1634 

9704157 

9706689 

9709221 

9971  1754 

971  4386 
971  68i8 

971  935o 

972  1883 
972  44' 3 

9.97a  6945 

972  9477 

973  20<)8 

973  4539 
9737071 

973  960a 
9-974  3133 

9744664 
9747195 

974  9726 

975  2a57 
975  4787 

9  975  73 1 8 

975  9849 

976  2379 
976  4909 
976  7440 

976  9970 
9977  aSoo 

977  5o3o 

977  756o 
9780090 

978  2620 
9785149 

9  978  7679 

979  0209 
979  3738 
979  5368 

979  7797 

980  oS^f) 
9  980  2856 

980  5385 
9S0  7914 
98  r  0443 

981  3972 
981  55oi 

9-981  8f>3o 


dim" 


982  0559' 


4a 

42 

4a 

42 

42 

4a, 

42. 

4a. 

42. 

42. 

42. 

42 

42 

43 

42 

42 

42 

42, 

42 

42, 

42. 

43. 

42. 

42. 

42. 

4a. 

42 

42 

42 

42 

42 

42 
43 

42, 

42, 

42. 
42. 

42. 
43. 
43. 

42. 

42. 

42. 
43. 

42 
42 
42 

4a 

42 


■i>e. 


982  3087 

983  56i6 
9828145 
983  0673 

9.9B3  3ao2 
983  573o 

983  8359 

984  0787 
9843315 
984  5844 

9-984  8372 


42 
42 
43. 

43, 

42. 

43. 

42 

4i 

42 

42 

43 


eo-tang. 


.20 
.22 

.22 
.30 
.20 
.22 
90 
.ao 
.20 
.20 
.18 
.20 
,20 
.18 
.18 
20 
18 
18 
18 
18 
18 
18 
17 

.18 

.18 

•17 
-•7 
.18 
.17 
.17 
.17 
17 
17 
17 
i5 

17 

17 

i5 
.17 
.i5 
.i5 
-17 
.i5 
.i5 
.i5 
.i5 
i5 
i5 
i5 
1 3 
i5 
i5 
i3 
i5 
i3 
i5 
i3 
i3 
i5 
i3 


co-tanf. 


1380 


see. 


n 


It 


diC  1" 


io.o3o  344 1 
0300909 
029  8J76 
029  5843 
029  33 II 
020  0779 
0.028  8340 
038  5714 
038  3i83 
028o65o 
027 81 18 
027  5587 

10.037  3o55 
027  o523 
ov6  7993 
026  546 
026  292 
026  o3 

10.025  781 
025  5336 
025  a8o5 
0250274 
024  7743 
024  53 1 3 

I0.034  3683 
034or5i 
033  7621 
033  5091 
023  356<) 
023  oo3(> 
10.03a  75oc> 

033  4970 
023  2440 
03I  9910 
021  7380 

03 1  485 1 

I0.U2I  2331 
030  9791 

030  7362 

020  473? 

030  33o3 
0199674 

10.0197144 
0194615 
0192086 
0189557 
0187028 
018  4499 

10.018  1970 
017  9441 
OI76913 

017  4384 
017  i855 
0169327 

10.0166798 
0164270 
016  1741 
0159213 
01 5  6685 
oi5  4i56 

10.01 5  1638 


10 


lO 


10 


10 


10 


10 


10 


lO 


10. 


tang. 


10 


10.1358735 
1359904 
l36io83 
1363363 
1363443 
1 364624 
i3658o6 
1366989 
i368i72 
1369356 
1370540 
13717261 
.1372912 
i374( 
13752^6 
1376474 
1 377662 
1378853 
1 380042 
1 38 1233 
1382434 
13836 1 7 
13848 10 
i386oo3 
.1387197 
1388392 
1389588 
1390785 
1391982 
1 393 1 79 
1394378 
1395577 
1 396777 
1397978 
1399179 
i4oo38i 
.1401 584 
1402787 
1403991 
1405196 
i4o64oi 
1407607 

i4o88r4 
1410022 
i4ii33o 
1413439 
14 I 3649 
14 I 4859 
.1416071 
1417382 
I 418495 
1419708 
1420923 
i432r37 
1433353 
1434568 
1425785 
1437003 
1438321 
1429439 
1 430659 


dif.  I' 


19.65 

19.65 
19.67 

19.67 
19.68 
19-70 
19.72 
19.73 
19.73 
19.73 

•9  77 

19.77 

19-77 
19.80 

19.80 

19.80 

19.83 

19.83 

19.85 

1985 

19.88 

T9.88 

19.88 

19-90 

19.92 

19.93 

19.95 

19.95 

19.95 

1998 

19.98 

30.00 

20.03 

20-02 

3oo3 

2oo5 


3007 
2008 
2008 
20.10 
2012 
201 3 
20. 1 3 
20. 1 5 
30.17 
30.17 


co^in. 


58 

57 
56 

55 
54 
53 

52 

5i 

5o 
49 
48 

47 
46 
45 

44 
43 
42 
4i 
4o 

3 

37 
36 
35 

34 
33 

33 

3i 

3o 
29 

281 
37I 
26 

35 

24 

23 
22 
21 


-jifw 


9.864127560 

864<x)96  59 
8638917  ■ 
8637737 
8636557 
8635376 

9.8634194 
863 3o 1 1 

8631828 

863o644 
862946c 
8628274 
9.8627088 
8625902 

8624714 
8623536 
862  2338 
8621148 
9.8619958 
8618767 
8617576 
86 I 6383 
86 1 5 1 9<j 
8613997 
9.8612803 
8611608 
8610412 
86092 1 5 
8608018 
8606821 
9.8605622 
8604423 
86o3223 
8602023 
8600821 
8599619 
30.05  9-^598416 
8597213 
8596009 

8594804 
85935 

859  " 

9?59 
8589978 

8588770 

8587561 

8586351 

8585i4i 


3o;?8  9?5?39'9- 

20.23 
30.23 
30.33 


16 
l5 

i4 
i3 

13 


133^ 


30-35 
20.25 
30.27 
20.28 
90.28 
30.33 

2o.3o 
30.33 


85827i8ii 

858i5o5lio 

858029 

8579078 

8577863 
9.8576648 

8575432 

8574215 

8572998 

8571779 

857o56i 
9.8569341 


«»-««c.      dif.  1"        un. 


46° 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


277 


440 


1350 


8 

9 

10 

11 

12 
i3 

i4 
i5 
16 

17 
18 

•9 

20 

ai 
33 

33 

34 

25 

26 

27 
28 

29 
3o 
3f 

32 

34 
35 
36 

37 

38 

39 

40 

4i 


43 

44 
45 
46 

47 

48 
49 

5o 
5i 

52 

53 
54 
55 
56 

57 
58 


am. 


9.841  771 3 
84i  9021 
842  o328 

842  i634 

843  2939 

842  4244 

9.842  5548 

843  685 
8428154 

842  9456 

843  0757 
843  2o57 

9.843  3356 
843  4655 
843  5953 
843  72 5o 
843  8547 

843  9842 

9.844  11 37 

844  243  > 
844  3725 

844  5oi8 
8446310 
8447601 

9.8448891 
845oi8i 

845  1470 
845  275« 
845  4045 
845  5333 

9-845  6518 

845  7903 
8459188 

846  0471 
846  1754 
846  3o36 

9.846  43  [8 
846  5599 
8466879 
846  8 1 58 

846  9436 
8470714 

42  9  847  '99' 

847  3267 


dif.  I" 


847  4543 
847  58 1 7 
847  7091 

847  8365 

9.847  9637 
8480909 
848ai8o 

848  345o 
848  4730 
848  5989 

9.848  7257 
848  8524 

848  9791 

849  1057 

849  2323 

849  3586 

9.849  485o 


21.80 
21.78 
21.77 
21,75 
21.75 
21.73 
21 .72 
21.72 
31.70 
21.68 
21.67 
21.65 
21.65 
21.63 
21.63 
31.63 
31.58 
21.58 
21.58 
21.55 
21.55 
21.53 

21.52 

2i.5o 

21.5o 

21.48 

21.47 
21.45 
21.45 
21.43 
21.43 
31.43 
31.38 
21.38 
21.37 
21.37 
ii-35 
21.33 

31.32 
21.3o 

2i.3o 

21.28 

31.27 
21.27 

21.23 
21.23 
31.23 
21.20 
3I.30 
31.18 
21.17 
21.17 
21. l5 
31. l3 
31.12 
31.12 
21.10 
21.08 
21.07 
21.07 


co-sin.       dif  1" 


co-sec 


10 


10 


10 


to 


10. 


10. 


10 


10. 


10. 


10. 


10. 


58  3287 
58  0979 
579672 
57  8366 
577061 
57  5756 
57  4452 
573149 
57  1846 
57  o544 
56  9243 
56  7943 
56  6644 
56  5345 
56  4o47 
56  2750 
56  1453 
56  01 58 
55  8863 
55  7568 
556275 
554982 
55  3690 
55  2399 
55  1 109 
549819 
54  853o 
54  7343 
54  5955 
54  4668 
54  3383 
54  3097 
540812 
53  9529 
53  8346 

536964 
53  5682 
534401 
53  3i2i 
53  1842 
53  o564 
52  9286 

52  8009 

53  6733 
53  5457 
52  4i83 
52  2909 
52  i635 
52  o363 
5i  9091 
5 1  7820 
5i  65  5o 
5i  5280 
5i  4oii 
5i  2743 
5i  1476 
5 1  0209 
5o  8943 
5o  7678 

5o64i4 
5o5i5o 


tang. 


9984 
985 
985 
985 
985 
986 

9.986 
986 
986 
987 
987 
987 

9.987 
988 
988 
988 
988 
989 

99H9 
989 
989 
990 
990 
990 

9.990 
991 

99' 

99' 

99' 
993 

9.992 
992 
992 
993 
993 
993 

9.993 

994 

994 

994 
994 

995 
9.995 
995 
995 
996 
996 
996 
9.996 
997 
997 
997 

997 

998 

9.998 
998 
998 

999 

999 
9.999 

ten 


tec. 


8373 
0900 
3428 
5956 

8484 
1012 
3540 
6068 
8596 

I  I  23 

365 1 
6179 
8706 
1234 
3761 
6289 
8816 

1 344 

3871 
6399 
8926 
1453 
3981 
65o8 
9035 
i562 
4089 
6616 
9'43 
1670 

4197 
6724 
9251 
1778 
43o5 
6832 
9359 
1886 
44'3 
6940 
9466 
.993 
4520 

7047 
9573 
2100 

4637 

7154 
9680 
2207 

4734 
7260 

9787 
23i4 
484o 
7367 
9893 
2420 

4947 

7473 


dif.l" 


42 

42 

42 

42 
42 
42 

42 
42 

43 
42 
42 
42 
42 
42 
42 
42 
42 

42 

42 

43 

42. 

42. 

42. 

42. 

42. 

42. 

42. 

42. 

42. 

42. 

42. 

42. 
42. 

42. 

42. 

42. 
42. 
42. 
42. 
43. 
42. 
42. 
42. 

42. 

42- 

42. 
42. 

42. 

42. 
43. 
42. 
43. 

43. 

43. 
43. 
43. 
42. 

42. 
42. 
43. 


co-tang. 


i3 
.i3 
.i3 
.i3 
.i3 
.i3 
.i3 
.i3 
.12 
.i3 
.i3 
.12 
.i3 
.12 
.i3 
.12 
.i3 
.12 
.i3 
.12 
.12 
.i3 

.12 
.12 
.12 
.12 
,12 
.12 
.12 
.12 
.12 
.12 
.12 
.12 
.13 
.1} 
.15 
.13 
.12 
•  lO 
12 
12 
■  12 
.10 
.12 
.12 
.12 
.10 
12 
12 
10 
12 
12 
10 
12 
10 
12 
12 
10 
12 


co-tang. 


diCl" 


lO.oiS  1628 
0149100 
0146572 
oi4  4o44 
oi4  i5i6 
0138988 

10.01 3  6460 
01 3  3932 
01 3  i4o4 
0128877 
012  6349 
012  383 

10.01 3  1294 
on  8766 
on  6239 
on  3711 
on  1184 
oro8656 

10.0106129 
oio36oi 
010  1074 
0098547 
0096019 
009  3492 

T  0.009  0965 
008  8438 
008  591 1 
008  3384 
008  o857 
007  83  3o 

10.007  58o3 
007  3276 
007  0749 
0068232 
006  5695 
006  3 168 

ro.o  )6o64i 
oo5  8 1 1 4 
oo5  5587 
oo5  3o6o 
oo5  o534 
0048007 

10.0045480 
004  3953 
oo4  0437 
oo3  7900 
oo3  5373 
oo3  3846 

io.oo3  o33o 
003  7793 

003  5266 

002  3740 

002  031 3 

001  7686 
10.001  5i6c 
001  2633 
001  0107 
0007580 
000  5o53 
000  2527 
10.0000000 


sec. 


10 


10 


10 


10 


tang. 


10 


10. 


10. 


10 


10. 


10. 


10. 


.1430659 
1431879 
i433ioo 
1434333 
1435545 
1436768 
,1437992 
1439316 
I 440442 
1441668 
1443894 
i444i33 
i44535o 
1446579 
1447808 
1449039 
1450270 
i45i5oi 
,1452734 
1453967 
I 45520 I 
1456436 
1457671 
1458907 

i46or44 

i46i38i 

1462619 

1463858 

1465098 

1466338 

1467579 

146882 1 

1470064 

1471 3o7 

1472551 

1473796 

i475o4i 

1476287 

1477534 

4478782 

i48oo3o 

1481379 

1483529 

1483780 

i485o3i 

1486283 

1487535 

1488789 

1490043 

1 49 1 398 

1492554 

1493810 

1495067 

1496325 

1497583 

1498843 

i5ooio3 

i5oi363 

1502635 

i5o3887 

i5o5i5o 


dif.  I" 


9.8569341 
8568121 
8566900 
8565678 
8564455 
8563232 

9.8562008 
8560784 
8559558 
8558333 


co-sin. 


8557106  5o 


co-sec. 


30.63 
30.65 
2067 
20.67 
20.68 
20.70 
20.72 
20.72 
20.73 
20.75 
20.75 

20.77 
20.78 
20.80 
20.80 
20.82 
20  83 
20.85 
20. 85 
20-87 
2087 
20.90 
20-90 
30-92 
20.93 
20.93 
20-95 
20.97 
30.97 

3I.0O 
3I.OO 
21.00 
2I.o3 

2i.o3 

2I.o5 


dif.  1' 


60 

59 


58 

57 

56 
55 
54 
53 

52 

5i 


49 
48 

47 
46 
45 


20.33 
20.35 
20.37 
20.38 
20.38 
20.40 
20.40 
20.43 
20.43 
20.43 
20.47 

20.47 
30.48 

20.48 
20.52 

20.5?. 

30.52 
20.55 
20.55 
30.57 

20.58 
20.58 
2060 

^^•^^  9.85.398^6 
^'^•**^  853861935 
853738  ~ 
8536i42 
8534902 
8533662 
9.8532421 
8531179 
8529936 
8528693 

8527449 
8526204 

9  8524959  24 
85237  ~  ■ 
8533466 
853I3I8 
8519970 
85 1 872 1 

9.8517471 
85i622o 
8514969 
85i37i7 
8512465 
8511211 

9.8509957 
8508702 
8507446 
8506190 
8504933 
85o3675 

9.8502417 
85oii57 

8499897 
8498637 
8497375 
84961 1 3 
9.8494850 


8555878 

9.855465o 

8553421 

8552192 

8550961 

854973o|44 

8548499  43 

9.854-7366  42 

8546o33  4i 

8544799  40 

8543564  39 

8542329  38 

854109337 

36 


34 
33 

32 

3i 
3o 
29 

28 

2- 
26 

25 


23 
33 
31 
30 

\l 

'7 
16 
i5 
14 
i3 

13 
I  I 
TO 

9 
8 

7 
6 
5 
4 
3 
3 
I 
o 


sin. 


134' 


450 


!lll 


.iiUli. 


NATURAL     SINES     AND     COSINES. 


279 


25j24 

2524 

2625 


26 

27 

27 
28 
28 
29 

It 

3o 


25 

26 
26 


27 
27 

28 
28 
29 
29 


DifT.  1 

30 

29 

0 

0 

I 

0 

I 

I 

a 

I 

2 

2 

3 

2 

3 

3 

4 

3 

4 

4 

5 

4 

5 

5 

6 

5 

6 

6 

7 

6 

7 

7 

8 

7 

8 

8 

9 

8 

9 

9 

lu 

9 

10 

10 

II 

10 

II 

11 

12 

II 

12 

12 

i3 

12 

i3 

i3 

i4 

i3 

i4 

«4 

i5 

i4 

i5 

i5 

16 

i5 

16 

i5 

17 

16 

17 

16 

18 

17 

18 

17 

>9 

18 

19 

18 

20 

•9 

20 

'9 

21 

20 

21 

20 

22 

2! 

22 

21 

23 

22 

23  22 

2423 

24 

r 

1,3 

o 
I 

2 

3 

4 

5 
6 

7 
8 

9 
o 
I 
2 
3 
4 

5 
6 

7 
8 

9 
20 
21 
22 

23 

24 

25 

26 

27 
28 

!2 

3o 
3i 

32 

33 

34 

35 
36 

37 
38 
39 

40 
4i 
4'> 
43 
4i 
45 
46 

47 

48 

49 
So 
5i 

52 

53 
54 

55 
56 

57 

58 
59 
60. 


0° 


sm. 


00000 
00029 

ooo58 

00087 
OOI16 


00145 
00175 
00204 

00233 
00262 


00291 
oo32o 
00349 
00378 
00407 


00436 


COR. 


one 
one 
one 
one 
one 


one 
one 
one 
one 
one 


one 
99999 


99999  02094 


99999 
99999 


99999 


004651 99999 
004951 99999 
00524' 99999 
oo553  9999B 


oo582J9999a 
oo6ri  99998 
00640  99998 
ot)669  99998 
00698  99998 


00727  99997 
00756  99997 
00785  99997 
00814  99997 
00844  99996 


1° 


8in. 


01745 
01774 
oi8o3 
oi832 
01862 


99985 
99984 
99984 
99983 
99983 


01891 
01920 
01949 
01978 
02007 


02o36 
o2o65 


02123 
02 1  52 


02I8I 
0221 1 
02240 
02269 


COS. 


99982 

99982 

99981 

99980 
99980 


o3635 
o3664 
03693 
03723 
03752 


99979 

99979 
99978 

99977 
99977 


99976 
99976 
99975 
99974 


02  298 '99974 


02327  99973 
02356  999-'2 
02385I99972 

024 1 419997 1 
02443 1 99970 


0247299969 
o25oi  99969 
0253099968 
0256099967 
0258999966 


00873  99996 
00902  j  99996 
00931,99996 
00960  99995 
0098Q  99995 


02618  99966 
02647  99965 
0267699964 
02705  99963 
02734I99963 


2° 


sin. 


03490 

o35i9 
o3548 
03577 
o36o6 


99939 
99938 
99937 
99936 
99935 


99934 
99933 
99932 
99931 
99930 


03781 
o38io 
o3839 
o3868 
03897 


03926 
03955 
03984 
o4oi3 
o4o42 


04071 
o4ioo 
04129 
o4i59 
04 1 88 


04217 
04246 
04275 
o43o4 
04333 


COf). 


o5234 
o5263 
05292 
o532i 
o535o 


05379 
o54o8 
05437 
o5466 
05495 


99929 
99927 
99926 
99925 
99924 


o5524 
o5553 
o5582 
o56ii 
o564o 


99923 
99922 
99921 
99919 
99918 


05669 


99917 
99916 
99915 
99913 
99919 


99911 
99910 
99909 

99907 
99906 


01018  99995 
0104799995 
0107699994 
oiio5  99994 

OT  13499994 


04362 

04391 
04420 
04449 

04478 


02763  99962 
02792199961 
02821  99960 
0285099959 
02879  999'»9 


o45o7 
045  36 
04565 

04594 
04623 


01 164  99993  02908,99958 
01 193  99993j02938  99957 
01222  99993  02967  99956 


01 25i '99992 


01 280  99999  o3o95  99954 


o  1 309  9999 1 
01 338  99991 
01367  99991 


09996  99955 


o3o54  99953 
o3o83  99952 
o3ii2  99952 


01396  99990  ()3i4i  ,9995  f 
01425  99990  o3i7o  99950 


o4653 
04682 

0471 ' 
f)474o 

04769 

04798199885 
04897I99883 
o4856  99880 
04885:99881 
0491 4|  99^79 


01 45  i  999S9  o3 1 99  99949 
01 483  99989  o3 2 28 1 99948 
01 5 1 3  99989  o3257  9994"? 
01542  999S8.03986  99946 
0157199988033 16  99945 


01600  99987  o3 3 45  999^4 
01629  99987  03374  99943 
oi658J99986o34o3  99942 


0168799986,03432 
0171699935  o346i 
01745,99985  03490 


COS. 


Bin. 


890 


C08. 


99941 
99940 
99939 


sin 


83° 


99905 
99904 
99902 
99901 
99900 


30 


«>m. 


COS. 


99863 
99861 
99860 

99858 
99857 


06976 
07005 
07034 
07063 
07092 


99855 
99854 
99859 
99851 
99849 


071 21 
07i5o 
07179 
07208 
07237 


99847 
99846 

99844 
99842 
99841 


07266 
07295 
07324 
07353 
07382 


99839 


05698  99838 
0572799836 
o5756!99834 
o5785'99833 


0741 1 
07440 


o58 1 499831 
05844I99829 
05873  9982- 


05902 
0593  f 


99826 
99824 


05960J99829 

05989,9982  T 
0601899819 
06047199817 
06076,99815 


06 1  o5  99813 
0613499812 
06I63I998IO 
06192  99808 
0622119980^) 


99898 
99897 

99896 

99894 

99^22 
99S99 

99890 
99S8Q 
99S88 
99886 


06250199804 


06279 

o63o8 

)6337 


99803 
99801 

99799 


o6366i997Q 


40 


sin. 


COS. 


99756 

99754 
99752 
99750 
99748 


99746 

99744 
99742 
99740 
99738 


99736 
99734 
99731 
99729 

99727 


99725 
99723 


0746999721 

0749899719 
07527I99716 


0755699714 

07585997 '2 
0761499710 
07643,99708 
07672:99705 


0770  r  199703 
0773099701 
0775999699 
07788:99696 
078 17  99694 


07846  99692 
07875  99689 
07904  99687 
07933  99685 
07962199683 

07991 1 99680 
0802099678 
0804999676 
0807899673 
08107,99671 


06395^99795 
06494J99793 
)6453  99792 
06  48  2 1 99790 
o65i  1  99788 


0813699668 
08 1 65  99666 
0819499664 
08293  99661 
08959  99659 


06  5  4o  1 99786 

o656q|  99784 
06598I99789 

o662'7  99780 
06656,99778 


04943^9987806685,99776 
04972  99S76J06714  99774 
o5oo  1  99875J06743 ,99772 
o5o3o  99873  06773  99770 


0505999872,06802 


99768 


05088199870  068  3 1  99766 
o5i  1 7 1 99869  06860^99764 
o5i46  99867  06889  99762 
o5 1 7  5 '  99866  069 1 8 ,  9976< 


o59o5  99864 
o5234|  99863 


0694799758 


COS. 


06976199756  08716,99619 


sin. 


87° 


08281  9965-7 

0831099654 
o833q  99652 

0836899649 

08397  99647 


08496  99644 
08455  99649 
o8484  99639 
o85i3  99637 
08542:99635 


08571  99632 
08600  99630 
0869Q  99627 
o8658  99625 
08687  99622 


ens. 


sin. 


86° 


COS. 


sin. 


850 


60 
59 
58 

57 

56 

5l 
54 
53 

52 

5i_ 

5o 
49 

48 

47 

46 

45 
44 
43 
42 
4^ 

40 
39 

38 

37 
36 

35 
34 
33 

32 

3i 

38 
29 
28 

27 
26 

25 

24 

23 
22 
21 

20 
19 

r8 

17 
16 

is 
i4 
(3 

12 


ro 

9 
8 

7 
6 

"5 
4 
3 
2 
I 
o 


3 
3 
3 
3 
3 


2  3 
2  3 
2  3 

2'^ 

2j3 
2  3 

2  a 
2  a 
2  2 


a 
2 
a 


o 
o 
o 
o 

o 
o 
o 
o 
o 

o 
o 
o 
o 
o 

o 

o 

1 
o 

o 

o 

o 
o 
o 


I  2 

i|a 
r  2 
12 
12 

I  2 
I  2 
I  2 
I  2 
I  2 

I  2 
I  I 
I  I 
1  I 
I  I 


I 
I 
I 
I 
I 

1  1 
I  I 
I  I 


I  I 

O  I 

O  I 

O  I 

O  1 

ol 

o  o 

o  o 


000 
o  o 


o 
o 
o 
o 
o 
o 

r 


o  o 
o  o 
o  o 
o  o 
o  o 
o  o 
2  3 


DiT. 


280 


NATURAL     SINES     AND     COSINES. 


Diflf. 


29    -^Ti 


10 
10 

1 1 


o 
I 
a 
3 


5 

6 

7 
8 

9 


9 

lo 

lO 


1 1  1 1 

I -J  I  a 

i3  la 
•i3;i3 
i4ji3 

—ill, 
i5|i4 
i5  i4 

i5;i5 
i6ji5 
i6,i6 

I7;r6 

I7ii7 

i8ji7 

i8|i8 

19!  1 8 

19)19 
19 
20 
70 

91 


10 
II 
13 

i3 


1 5 
16 

17 
18 
19 


20 
21 

32 

j3 
24 

26 
27 
28 
29 


20 
20 
21 
21 


3o 
3i 

32 

33 

34 

35 
36 

37 

38 
39 


2-J!!2I 
21JJ2I 

23;22 

23  j  2,2 

24:23 
24l23 

25  24 
25  24 

36125 

26.25 

2^26 
27  26 


38 

28 


27 

27 


2928 
39  38 


4o 
4 1 
4-> 
43 

U 

45 
46 

47 

48 

49' 
5o 
5i 

53 

54 

55 
56 

57 
58 

60 


50 


■in. 


■OtjMii 


087 1 6  996 1 9 
0874599617 


6  3 


sin. 


08774 

o88o3 


99614 
99613 


o883i  99609 


08860 


99607 


0888999604 
08918(99602 
0894  7 1 99  590 
0897699596 

09(x>5  99594 
09034  995< 
09063  99588 
09092  99586 
09121  99583 

o9i5c[9958t> 
0917999578 
o9a(»8, 99575 
09237  99572 
09266  99570 

09  J95  995H 

093^4  99564 
0935199  563 
09382  99559 
094 '  I  99556 


10453 
10482 
io5ii 
io54o 


10597 
10626 
io655 
10684 
10713 


COil. 


99452 

99449 

99^{4o 
99443 


1056999440 


99437 
99434 
99431 
99428 
99424 


107439942' 
10771  [99418 

10800,9941 5 
10829  99412 
1 08  58 1 99409 


70 


■m. 


12187 
12216 
1 2245 
12274 

I3302 


1233 1 
i236o 
12389 
12418 
12447 


10887  99406 

10916  9940  :> 
10945  99399 

10973  99  39fi 

1 1 00  3  99393 


09440  99^  ■)i 
07^6999551 
09I98  9954H 
095  >-r  99545 
f>9556  99542 


09 58 5  99540 
09*^1499537 
096  42;  995  34 
0967 1 1 995  3 1 
09-700  99528 

09^59  995  i6 
0975^199523 
o9'87;  99520 
09B16  9951 
r)9S45t995i4 


t  io3i  9939f) 
1106099386 
1 108999383 
1111899380 
m47  99377 


1 1 17699374 
1 1 2o5  99370 
1 123499367 
1 1263  99364 
1 1291  99360 


12476 
i25o4 
12533 

12562 

12591 


C<M. 


99255 
99251 
99248 
99244 
99240 


99237 
99233 
99230 
99226 
99222 


99219 
99215 
9921  1 
99208 

99?o4 


1 26  >o 
12649 


99200 
99197 


12678199193 
12706J99189 
12735:99186 


1 132099357 
1134999354 
1137899351 
1 1 40-'  99347 
1 143699344 


09H7419951 1 
0(30*13  97508 


«Qg3'j 
09761 
09700 

lOOIQ 
10048 
10077 
10106 

ioi35 


Q95i»6 
975o3 
99500 


10164 
10192 
10221 
io25o 
10279 


io3o8 
io337 
io366i 


99497 
99494 

9949' 
994H8 
99485 


99482 
99479 
99^76 
99473 
99470 


99467 
99464 
99461 


io395|99458 
1042499455 
10453J99452 


I  i4>5  993'(i 

II  49i  9933-1 
1 1 52  3  99334 
1 155*>  99331 
iiSHo  99327 

1 1609  973 1 4 
ii638  99320 
11667  99317 
II 696  993 1 4 
1 17*^5  99310 


1 2764:991 8  > 
1279399178 
12822199175 

i285i  9917 
I288<j|99i67 

i29o8J99i6i 
i293-f;99i6o 
12966199156 
1 2995  991 5  > 
i3  1^49914^ 


go 


iin. 


13917 
13946 
13975 

i4oo4 
i4o33 


i4o6i 
14090 


C1W. 


99027 
99023 
99019 
99015 
99011 


99o<j6 
99002 


4ii9'98998 
14148,98994 
1417798990 


1420598986 
1423498982 
14263,98978 
14292I98973 
14320:98969 


1434998965 
14378  98961 
1440798957 
1443698953 
1446498948 


14493  98944 
14522  98940 

1455 1 98936 
145809893 

i46o8  98927 


90 


Din. 


1 5643 
15672 
15701 
i573o 
15758 


15787 
i58i6 
15845 
15873 
1 5902 


1 593 1 
15950 
15988 
i6f>i7 
16046 


COS. 


98769 
98764 

98760 

98755 
98751 

98746 
98741 
98737 
98732 
98728 


1463798923 
1466698919 
14695  98914 
14723  98910 
14752  98906 


1 305399144  14781  9890  J 
i3o8tl99i4i  148109889-' 
i3i  10  99137  1483898893 
i3i39  99i33  1486798889 
13168:991291489698884 


'319799125 
i3>26  99i22 
i3»54  99118 
1328399114 
!33t2J99iio 


I  1754  993* )7 

1 1783  993f>3 
ii8i2j993(Ki 
I  r84o  9929 
1 1 869  99293 


898  9929* 
1 1927  99286 
1195699283 
1198599279 
1201499276 


cm. 


tin. 


84° 


1204399272 
1 207 1  {99269 
1210099265 
1 2 1 29  99262 
I2i58|99258 
1218799255 


COS. 


■in. 


830 


i334ii99io6 
13370*99102 
1339999098 
1 3427  99094 

.34569909. 


I<» 


14925  9S88 
1495498876 

1 4982  9887 1 
«5oii  98867 
•  504098863 


98723 
987!8 

987'4 
98709 

98704 

16074198700 
16103198695 
161 32  98690 

1616098686 
618998681 

1621898676 

6246  9867 1 
16275  98667 
1630498662 


16333 

.6367 
16390 
16419 

16447 


98657 


98652 
98648 
98643 
9S638 
1 647698633 


i65o5 
16533 
.6562 
16591 
16620 


98629 
98624 
98619 

98614 
986^^9 


13485,99087 
1 35.4,99083 

1 3543|99.)79 
13572,99075 
1360099071 


1 3629  9906- 
.3658, 99063 
13687,99059 
1371699055 
13744,9905 1 


13773,9904- 
i38o2J99o43 
1 383 1  99039 
i386o'99o35 
13889:99031 
13917199027 


1 5f>69  9*<858 
1 5097  98854 

1 512698849 
15.5598845 

i5i849884' 
15212,98836 
i524ij9883-^ 
.527098827 
1529998823 
15327I98818 


1 6648 1 98604 
i6677|986oo 
i67f>6|98595 
16734  9859^) 

.6763|98585 

1 6792 1 98580 
1682098575 
1684998570 
1687898565 
1690698561 


153569881 
1 5385,98809 
15414,98805 
15442198800 
1 547 1  98796 


COfl. 


Hin. 


820 


15500^98791 
1552998787 
15557:98782 
15586^98778 
i56i5[98773 
1 5643.98769 


CO*. 


sin. 


810 


16935 
16964 
16992 
17021 
i7o5o 


98556 
98551 
98546 
9854. 
98536 

98537 
98526 
98521 
98516 
98511 


98506 
98501 
17279I98496 
17308  98491 
1733698486 
17365,98481 


60 

U 

57 
56 

55 

54 
53 

52 

ii 
5o 
4, 

4 

47 
46 

15 
44 
43 
42 

ii 
4o 
39 
38 

37 
36 

l5 

34 
33 

32 

3i 

■37> 
29 

28 

27 

_26 

24 

23 
22 
21 


20 

»9 

18 

17 

16 

75 
i4 
i3 
12 
II 

10 

9 
8 

7 
6 


5 
4 
3 
3 
1 
o 


C08. 


8in. 


3 
3 
3 

3 
3 
3 
3 
3 

3 

2 
3 
a 
2 

a 
2 
2 
2 
2 

2 
2 
2 
2 
2 

2 
2 
2 
2 
2 

a 
I 
1 
I 
I 

I 
I 
1 
1 
1 

1 
I 
I 
I 
I 

I 
I 
I 
I 
? 

I 

o 
o 
o 
o 


4 
4 
4 
4 
4 

4 
4 
4 
3 
3 

3 
3 
3 
3 
3 

3 
3 

3 
3 
3 

3 
3 
3 
2 
2 

2 
2 
2 
2 
2 

2 

a 
2 
2 
2 

2 
2 
2 
I 

I 

I 
1 
1 
1 
1 

I 
I 
I 
I 
1 

I 
1 
I 

o 
o 


5 
5 
5 
5 
5 

5 
5 
4 
4 
4 

4 
4 
4 
4 
4 

4 
4 
4 
4 
3 

.3 

3 
3 
3 
3 

3 
3 
3 
3 
3 

3 
a 
2 
a 
2 

3 
2 

2 

3 
3 

2 
a 
a 
I 
I 

1 
I 
1 
I 
1 

1 
I 
I 
1 
1 


80° 


Diff. 


NATURAL     SINES     AND     COSINES. 


281 


DifT. 


29 


28 
O 

o 
I 
I 

2 


7 

7 
8 

8 
_9 

9 

10 

ro 
II 
1 1 


12 
12 
i3 
i3 
i4 

i4 

5i4 

i5 


9 
20 

20 

21 

21 


22 
22 

23 
23 

24 


24 

25 
25 
26 

26 


i5 
16 

76 

n 
n 
18 
18 


«9 

19 
20 

20 

21 


27 

27 
28 
28 
29 
29 


21 
21 
22 
22 

23 

24 
24 

25 
25 

26 

27 
27 
28 
28 


o 
I 

2 

3 
4 

5 
6 

7 
8 

1 
o 

I 

2 

3 

4 

5 
6 

7 
8 

9 

20 
21 
22 

23 

24 

25 

26 

27 
28 

19 
38 
3i 

32 

33 
34 

35 
36 

37 

38 
39 

4o 
4i 
42 
43 
44 

45 
46 

47 

48 
49 
5o 
5i 

52 

53 

Si 

55 
56 

57 
58 

59 
60 


10° 


am. 

77355 
17393 
17422 
17451 
17479 
i75f>8 
17537 
17565 

17594 
17623 


COS. 

98487 

98476 

98471 
98466 
98461 


17651 
17680 
17708 

^737 

17766 

17794 
17823 
17852 
17880 

17937 
17966 
17995 
18023 

i8o52 

i8o87 
18109 
i8i38 
18166 
18195 

18224 
18252 
18281 
i83o9 
18338 


18367 


98455 
98450 
98445 
98440 
98435 

98430 
98425 
98420 

98414 
98409 

9'84o4 
98399 

98394 
98389 
98383 

98I78" 
98373 
98368 
98362 
98357 
98352 

98347 
98341 
98336 
98331 


11° 


Bin.  I  COS. 


98325 
98320 

983 1 5 
98310 
983o4 


98288 
98283 
98277 
98272 
98267 
98261 
98256 
98250 


98299 
18395198294 
18424 
18452 
1 848 1 

i85o9 
-.8538 
1 8567 
18595 
18624 

18652 
1 868 1 
18710 
18738 

18767 

78795 
18824 
i8852 
18881 
18910 


18938 
18967 
18995 
19024 
19052 
19081 


9B245 
98240 
98234 
98229 
98223 

98278 
98212 
98207 
98201 
98196 

98190 
98185 
98179 
98174 
98168 
98163 


9081198163 
9109I98157 
9i38|98i52 
9167I98146 
9i95!98i4o 


9224198135 
9252198129 
9281:98124 
930998118 


9338 


9366 
9395 
9423 
9452 
9481 


98112 


98107 
98101 
98096 
98090 
98084 


9509I98079 
9538198073 


9566 
9595 
9623 


9652 

9680 
9709 

9737 
9766 

9794 
9823 


98067 
98061 
98056 


98050 

98044 
98039 
98033 
98027 

98021 
98016 


98511980TO 
9880  98004 
9908  97998 


9965 

9994 

20022 

2oo5i 


20079 
20108 
20 1 36 
2oi65 
20193 

20222 

20250 

20279 
2o3o7 
2o336 


2o364 

20393 

2042 

2o45o 

20478 


2o5o-» 
2o535 


12° 


Bin. 


20791 
20820 
20848 
20877 
20905 


20933 
20962 
20990 
019 
o47 


97992 

97987 

9798 

97975 

97969 


97963 

97958 
97952 
97946 
97940 

97934 
97928 
97922 
979(6 
97910 


COB. 


Bin. 


790 


97905 

97899 
97893 
97887 
97881 

9^78^5 
97869 

2o563|97863 

20592197857 
2062097851 


COB. 


97815 
97809 
97803 

97797 
97791 


97784 
97778 
97772 
97766 
97760 


076 

io4 

I  32 

161 

189 


97754 
97748 
97742 
97735 

97729 


218 
246 
275 
3o3 
33i 


97723 
97717 
97711 
97705 
97698 


36o 
388 

417 
445 

474 


5o2 
53o 
559 

587 
616 


644 
672 
701 
729 

758 


786 
8i4 
843 

871 
899 


97692 
97686 
97680 
97673 
97667 


97661 
97655 

97648 
97642 
97636 

97630 
97623 
97617 
9761 1 
97604 


13° 


Bin. 


COS. 


2249597437 
22523  9743o 


22552 
2258o 

22608 


22637 
22665 
22693 
22722 
22750 


22778 
22807 
22835 
22863 
22892 


97424 

97417 
974n 


97404 
97398 
97391 
97384 
97378 


97371 
97365 
97358 
97351 
97345 


22920 
22948 
22977 
23oo5 
23o33 


97338 
97331 
97325 
97318 
973 1 1 


23062 
23090 
23ii8 
23 1 46 
23i75 


232o3 
2323l 

23260 
23288 
233i6 


928 
956 
985 

220l3 
2204l 

22070 
22098 


97598 
97592 

97585 

97579 
97573 


97566 
97560 
97553 
97547 
97541 


97534 
97528 
22126197521 
22i55[975r5 
2218397508 


20649 
20677 
20700 
20734 
20763 
20791 


COS. 


97845 

97839 
97833 
97827 
97821 

97815 


sin. 


730 


22212 
22240 
22268 
22297 
22325 


97502 
97496 
97489 

97483 
97476 


22353 
22382 
22410 
22438 
22467 
22495 


23345 
23373 
s34oi 
23429 
23458 


140 


Bin. 


24192 
24220 
24249 

24277 

243o5 


24333 
24362 
24390 
24418 
24446 


COS. 


97o3o 
97023 
97015 
97008 
97001 


96994 
96987 
96980 
96973 
96966 


24474 
245o3 
24531 
24559 

24587 


2461 5 
24644 
24672 
24700 
24728 


97304 
97298 
97291 
97284 

97278 


9727 

97264 

97257 

97251 

97244 


97237 
97230 
97223 
97217 
97210 


23486 
235i4 
23542 
23571 
23599 

23627 
23656 

23684 
23712 

23740 

23769 
23797 
23825 
23853 
23882 


97203 
97196 
97189 
97182 
97176 


23910 
23938 
23966 
23995 
24023 


97169 
97162 
97155 
97148 
97141 


97 1 34 
97127 
97120 

97"  3 
97106 


97100 
97093 
97086 
97079 
97072 


24756 
24784 
248 1 3 
24841 
24869 


24897 
24925 
24954 
24982 
25oio 


96959 
96952 
96945 

96937 

96930 


96923 
96916 
96909 
96902 

96894 


96887 
96880 
96873 
96866 

96858 


96851 
96844 
96837 
96829 
96822 


25o38 
25o66 
25094 

25l22 

25i5i 

25179 
25207 
25235 
25263 
25291 

25320 

25348 
25376 

254o4 
25432 


25460 
25488 
255i6 
2  5545 
25573 


COB. 


97470  24o5i 
97463  24079 
97457  24108 
97450  241 36 


97444 
97437 


Bin. 


36 


24164 


97065 
97o58 
9705 1 
97044 
97037 


24i92|97o3o 


COS. 


sin. 


76° 


2  56oi 
25629 
25657 
25685 

257l3 

2574 

25769 

25798 

25826 

25854 
25882 


COB. 


96815 
96807 
96800 
96793 
96786 


96778 
96771 
96764 
96756 
96749 


96742 
96734 
96727 
96719 
96712 


96705 

96697 

9669c 

96682 

96675 

96667 

9666< 
96653 
96645 
96638 

96630 
96623 
96615 
96608 
96600 
96593 


sin. 


750 


60 
59 

58 

57 
56 

55 

54 
53 

52 

5i 

5o 

49 
48 

47 
46 

45 
44 
43 
42 

40 
39 
38 
37 

l5 
34 
33 

32 

3i 

18 
29 
28 

27 

25 

24 

23 

22 
21 

20 

»9 

18 

17 
_f6 

75 
i4 
i3 
12 
11 

10 

9 

8 

7 
6 

~5 

4 
3 
2 
I 

o 


1 
I 
I 
I 

I 

o 

ojo 

010 

0|0 

00 
o  o 

6 


8 
8 
8 
8 

7 

7 

7 
7 
7 

7 


7 
7 
6 
6 
56 


6 
6 
6 
6 
5 

5 
5 
5 
5 
5 

5 
5 
4 
4 

4 

4 
4 
4 
4 
3 

3 
3 
3 
3 
3 

3 
3 
2 

2 
2 

3 
3 
3 
2 
I 

I 
I 
I 
I 
I 

1 
I 
o 
o 
o 
o 

8 


Piff. 


NATURAL     SINES     AND     COSINES. 


Diff. 


29 

o 

o 
I 
I 

2 


m 


27 


I -^11 


a4  »3 


27  »6 


2928 

29  28' 


o 
1 
2 
3 

J 
5 
6 

7 
8 

_9 
10 
II 
12 
i3 

!i 
1 5 

i6 

17 
r8 

11 
20 

21 

23 

23 
24 


150 


•I'll. 


25882 
25910 
25938 
25966 
35994 


26022 
26o5o 


26107 
26135 


26163 

26219 

26247 
26975 

263o3 
2633 1 


COS. 


96593 
96585 
96578 
96570 
96562 


16© 


■in. 


27564 
2759a 
27620 
27648 
27676 


96555 
96547 


26079  9654io  27759  96070 


9653a  27787 


965;>4 


965 
96509 

96502 

9O4 

964^6 


96479 

96471 

26359  96463 


26387 
26415 

26443 
26471 

265oo 
26528 
26556 


96456 
96448 


96440 
96433 
96425 

96417 
96410 


26584 
26612 
26640 
26668 


96402 
96394 
96386 
96379 


27704 
27731 


en. 


96126 

961 18 


961 10  29293 


96102 
96094 


27815 


27843 
27871 


2789996029 


27927 
27955 


27983 
28011 

28039 

28(367 
28095 


28123 
28i5(> 
28178 
28206 
28234 


26696963 


96363 
96355 


26724 
26752 

2678(t1 

2680896340 
26836196332 


26«64 


26920 


96324 
96316 
96108 


2694896301 
26976  96293 


27w>4 
27032 
27060 
27088 
27116 


27144 

27172 
27200 
27228 


28541 

2856y 

2859 

28625 

28652 


962S5 
96377 


96261 
96253 


96246 
96238 
96230 
96222 
2725696214 

96206 


27284 

273r2 

27340 
27368 
27396 


27424 

27452 
2"t48o 


96166 
96158 
96150 


275o8j96i42 
2753696134 

2756496126 


28262 
28290 
283 1 8 
28346 
28374 


96086 
96078 


96062 
96054 


96046 
960J7 


96021 
96013 


96<x>5 

099" 
95989 

95981 

95972 


95964 
95956 
95948 
93940 
95931 


m 


Kin. 


29237 
29266 


29321 
29348 


29376 
29404 
29432 
29460 
29487 


29515 
29543 
29571 
39699 
29626 


29654 
29682 
29710 

29737 
29765 


COB. 


9563o 
95622 


95&1 3  30957 


956o5 


955963101a 


95588 


9557931068 
95571  " 
9556a 
95554 


95545 
95536 
95528 
95519 
9551 1 


95502 
95493 
95485 

95476 
95467 


95923 
93915 
95907 

95898 
95890 


28402  958«2 

28429|958-r4 
28457 
28485 
285 1 3 


28680 
28708 


96269  28736 


28764 
28792 


95799 
95791 
95782 

95774 
95766 


28820 
2884-' 
28875 
28903 
28931 


96198 
g6iQo 
96182 
96  r  7(1 2  9070 


28959 
5898-' 
29015 

29ft42 


95865 
95857 
95849 


29793 
29821 
29849 
29876 
29904 


29932 
29960 

29987 


18° 


BID. 


30902 
30929 


30985 


CW. 


95ro6 
95*397 
95088 
95079 
95070 


3io4o 


31095 
3ii23 
3iiSi 


I90" 


Bia. 


31178 
3 1 206 
3 1 233 
3i26i 
31289 


3i3i6 

3i344 
3 1 372 
3i399 
3j427 


95459  3 1 454 
95450  3i482 
95441  3i5io 
9543331 537 


95424 


95415 
95407 
95398 


jiV>or5'95389 
5oo43  9538f) 


95841 
95832 
95824 
95816 
95807 


95757 
95749 


95732 
95724 


95715 
9570-7 
95698 
95690 
95681 


3f)07 1 
3<x>98 
3oi26 

3oi54 
30182 


95373 
95363 
95354 
95345 
95337 


3i565 


3i  593 
31620 
3 1 648 
31675 
3r7o3 


9506 

95«:>52 

95043 

95o33 

95024 


950 1 5 
95006 

94997 
94988 

94979 


94970 
94961 
94952 
94943 
94933 


94924 
94915 
94906 
94897 
94888 


94878 
94869 
94860 
948  5 1 
94843 


30209 

3C»237 

3o265 
30292 
3o52o 


3o348 
30376 
3'o4o3 
3o43i 
3o459 


3(>486 
3o5f4 


95740  3o542 


3o57o 
3o59 


3o6>5 


95328 

95319 

95310 

9530 

95293 


95284 
95275 
95266 
95257 
95248 


95240 
95231 
95225 
95213 
95204 


95r95 


eoi.  I 


»«n. 


740 


29098  95673,30763 
2912695664-30791 
29154  95656. 3o8 1  g 
29t82  956 <7  3o846|95i24 
29309J95639  30874  95 1 1 5 
292  3-»9563f  3090295106 


3065395186 
96177 
9516H 

95i5o 
95 1 5o 

95i33 


3o68o 
3o7ofi 
3o736 


tJOi*. 


«in. 


730 


OM. 


Sin. 


7-30 


3 1730 
3i758 
3r786 
3i8i3 
3r84i 


94&32 
94823 
94814 
948o5 
94795 


32557 
3'2584 
3  261 2 
32639 
32667 


COS. 


32694 
32722 
32749 

32777 
32804 


94552 
94542 

94533 

94523 
945i4 


32832 
32859 
32887 
32914 
32942 


32969 
32997 
33o2-4 
33b5r 


33079  94370 


33io6 
33 1 34 
33i6i 


33244 
33271 
33396 
33396 
33353 


3338 
33408 


945o4 
94495 
94485 

94476 
94466 


94457 
94447 
94438 
94428 
944  r  8 


94409 
94399 
94390 
94380 


94361 
94351 
94342 


3318994332 
3321694322 


943 1 3 
943o3 
94293 
94284 
94274 


3 1 868 
31896 
31923 
3195 1 
31979 


32006 
32o34 
32061 
32089 
32ri6 

32I44 
3^2171 
32 1 99 
32227 
32254 


94740 
94730 
94721 

94712 
94702 


32282 

33  30Q 

32337 

32364 
3239'> 


32419 
32447 
33474 

32502 

325^9 
32557 


CO". 


94786 

94777 
94768 
94758 

94749 


94693 
94684 
94674 
94665 
94656 


946-16 
Q463- 

946^*^7 
94618 
94609 


94599 
94590 
94580 
94571 
94561 
94552 


94264 
94254 


33436194245 


33463 
33490 


335  r  8 
33545 
33573 
336(X) 
33627 


33655 
33682 
33710 
3373t 
33764 


33-»92 
338rQ 
33846 

33874 
33911 


339'>o 
33956 
33983 
34of  I 
34o3R 


Bin. 


7|0 


34o65 
34093 
34i?o 
34 1  47 

34175 
34200 

COB. 


94235 
94225 


942 1 5 


94196 
94186 
94176 


94167 
94157 
94147 
94r37 
94127 


94n8 
94108 
94098 
94088 
94078 


94068 
94058 
94049 
9io39 
94039 


94019 

94009 

93909 

qV9 
9?9^9 

93969 


60 
5 

57 
56 


55 
54 
53 

52 

5o 

49 
48 

47 
46 

45 
A^ 
43 
42 
4^ 
4o 

3 
37 

35 

34 
33 

32 

3i 
3b 

'? 

27 
26 


25 

24 

23 
22 
21 


20 

r9 
f8 

r? 
ro 

75 
\A 
1 3 

12 

ri 

ro 

9 

8 

7 
_6 

5 
4 
3 
2 
I 
o 


Bin. 


710 


78 

7 


7 
7 
7 
6 
6 
6 
6 
6 

6 

6 
5 

5|6 

5j6 
56 
5 
5 


9  lO 

10 
10 
10 

9 


3 

5 
5 
4 
4 
4 

4 
4 
4 
4 

4J4 

34 

i\A 

3|3 

3;3 

33 
313 
3 
2 


2 
2 

2|2 
2:2 
2  2 

V^ 

2  2 

I 
2|2 

r  2 
II 

7|7 
rji 
r  I 

!l' 
)  !< 
01 

00 
00 
00 
00 

7I8 


8 
8 
8 

8 
8 

8 

7 
7 

7 

7 

7 
7 
6 
6 
6 

6 
6 
6 
6 
5 

5 
5 
5 
5 
5 

5 
4 
4 
4 
4 

4 
4 
3 
3 
3 

3 
3 
3 
3 
2 

2 
2 
2 
2 
2 

2 
I 
1 
I 
I 


9 
9 
9 
9 

1 
8 
8 
8 
8 

"8 

7 

7 

7 

_7 

7 
7 
6 
6 
^ 

6 
6 
6 
5 


I 
I 

o 
o 
o 
o 
9  10 


r 
I 
r 

0 

o 
o 


\m. 


NATURAL     SINES     AND     COSINES. 


283 


Diff. 


28 

o 
o 
I 
I 

2 

2 
3 

3 

4 
4 

5 
5 
6 
6 

1 

7 

7 
8 

8 

1 

9 

o 

o 
I 
I 

a 
2 
3 
3 
4 

4 
4 
5 
5 
6 


27 
o 
o 
I 
I 
2 


2 
3 
3 

4 

A 

5 
5 
5 
6 
6 


26 


6 

7 
7 
8 
8 

9 

9 

20 

20 
21 

21 
21 
22 
22 

23 

24 
24 

25 
25 

26 
26 

27 
27 
28 
28 


6 
6 

7 
7 
8 

8 
8 

9 

9 

20 

20 
21 
21 
22 
22 

23 
23 
23 

24 

2_4 

25 
25 

26 
26 

27 

37 


20 
20 
20 

21 
21 


22 
22 
23 
23 
23 

24 
24 
25 
25 
26 
26 


0 
I 
2 

3 

A_ 

5 
6 

7 
8 

3 
o 
I 
2 
3 
4 

5 
6 

7 
8 


W° 


20 
21 
22 

23 

24 

25 

26 

27 
28 
29 

3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

40 
4i 
42 
43 

A4 

45 
46 

47 

48 
49 
5o 

5£ 
52 

53 
54 

55 
56 

57 
58 

59 

60 


Bin. 


34202 
34229 
34257 
34284 
343 1 1 

34339 
34366 
34393 
34421 
34448 


34475 
345o3 
34530 
34557 
34584 

34612 
34639 
34666 


COS. 


93969 
93959 
93949 
93939 
93929 


93919 

93909 

93899 
95889 
93879 


93869 

93859 

93349 
93839 
93829 


93819 
93809 
93799 
34694193789 

34721193779 


21° 


Bin. 


COS. 


35837 
35864 
35891 
35918 
35945 

35973 
36ooo 
36027 

36o54 
36o8i 

367^8 
36 1 35 
36162 
36190 
36217 


93358 
93348 
93337 
93327 
93316 


93306 
93295 
93285 
93274 
93264 


36244 
36271 
36298 


93253 
93243 
93232 
93222 
932 1 1 


93201 
93190 
93180 


220 


sin. 


COB. 


37461192718 

37488  92707 
37515I92697 


37542 
37569 


37595 
37622 
37649 
37676 

37703 

37730 
37757 
37784 
3781 1 

37838 


36325  93169 
36352  93159 


37865 
37892 
37919 


34748 
34775 
348o3 
3483o 
34857 

34884 
34912 
34939 
34966 
34993 

35o2i 
35o48 
35075 
35io2 
35i3o 

35 1 57 
35i84 
35211 
35239 
35266 


93769 
93759 
93748 
93738 
93738 

93718 

93708 
93698 
93688 
93677 


93667 
93657 

93647 
93637 
93626 


35293 
35320 

35347 
35375 
35402 


35429 
35456 
35484 
355ii 
35538 

35565 
35592 
35619 


36379  93 1 48 


364o6 
36434 
3646 1 
36488 


93x37 
93127 
93116 
93106 


365 1 5  93095 

3654293084 
36569  93074 
36596193063 
36623  93o52 


3665o 
36677 
36704 
36731 
36758 


93616 
93606 
93596 
93585 
93575 


93565 
93555 
93544 
93534 
93524 


36785 
368 1 2 
36839 
36867 
36894 

36921 
36948 
36975 
37002 
37029 


93514 
935o3 
93493 
93483 
93472 


93462 

93452 

93441 

3564793431 


35674 

35701 
35728 
35755 
35782 
358 10 
35837 


COS. 


93420 


93042 
93o3i 
93020 
93010 
92999 

92988 
92978 
92967 
92956 
92945 


92686 
92675 


92664 
92653 
92642 
92631 
92620 


92609 
92598 
92587 
92576 
92565 


230 


sin. 


39073 
39100 
39127 
39153 
39180 


39207 
39234 
39260 
39287 
39314 


39341 


COS. 


92o5o 


40674 


92039  40700 


92028 
92016 
92005 


91994 
91982 

91971 
91959 
91948 


91936 


92554 
92543 
92533 


3794692521 
37973  925 ro 


3799992499 
38026192488 

38o53|92477 
38o8o  92466 


38107 


92455 


38 1 34 
38i6i 
38 188 
382 1 5 
3824i 


38268 
38295 
38322 
38349 
38376 


384o3 


39367  91925 
39394  91914 


840 


sin. 


40727 
40753 
40780 


40806 
4o833 
40860 
40886 
40913 


COS. 


91355 

91343 

9i33i 
91319 
9i3o7 


91295 
91283 
91272 
91260 
91248 


40939 


60 
59 

58 

57 
56 

55 

54 
53 

52 

5i 


91236 


39421 
39448 


39474 
39501 


91902 
91891 


4096691224 

40992  9<2[2 
4IOI9912OO 

4io45i9ii88 


91879 
91868 


39528191856 
39555191845 
3958191833 


41072 
41098 
41125 


91176 

91164 
91152 


4ii5i  91  i4f» 
41178  91 128 


39608  91822 
3963591810 


39661 


91799 


3968891787 
39715J91775 


4120491 1 16 
4i23ij9iio4 
4125791093 
4i284|9io8o 
4i3iOj9io68 


92444 
92432 
92421 
92410 

9.^^99 
92388 
92377 
92366 
92355 
92343 


39741191764 
3976891752 

39795'9i74i 
39822  91729 

3984891718 


92332 


93410 
93400 
93389 
93379 
93368 
93358 


37056 
37083 
371 10 

37137 

37164 

37191 
37218 
37245 
37272 
37299 

37326 
37353 

37380 
37407 


92935 
92924 
92913 
92902 
92892 


92881 
92870 
92859 
92849 
92838 


92827 
92816 
92805 
92794 
92784 


3843092321 


38456 
38483 
385io 


38537 
38564 
38591 
38617 
38644 


38671 
38698 
38725 
38752 
38778 

3'88^5 
38832 


92310 
92299 
92287 


39875,91706 
39902'9i694 
399289 1 683 
39955J91671 
39982  91660 


40008I91648 
4oo35  91636 
4006291625 
4c>o88:9i6i3 
4oi  1591601 


4i337]9io56 

4i  363  91044 
41390J91032 
4141691020 
4i443  91008 

41469I90996 
41496190984 
4i522  90972 
41549190960 
4157590948 

90936 


5o 

49 

48 

47 
46 

45 
AA 
43 
42 
4i 


41602 
41628 
4i655 
41681 
41707 


92276 
92265 

93254 
92243 
92231 

93220 
92209 
92198 
92186 
92175 

92164 
92152 


4oi4i  91590 
40168  91578 


40195 
40221 
40248 


40275 


4o3oij9i5i9 
40328,91508 
4o355'9i496 
4o38i|9i484 


Bin. 


690 


92773 
92762 
92751 

92740 

37434{92729 
37461  92718 


COS. 


Bin. 


680 


38859  92 1 4i 
3888692130 
38912  92119 

3893992107 
38966,92096 
38993^92085 
39020  92073 
39046^92062 
39073,92050 


91 566 
91555 
91543 


9i53i 


90924 
9091 1 
90899 
90887 


41734 
41760 

41787 
4i8i3 
4i84o 


41866 
41892 

41919 
41945 
41972 


90875 
90863 
9085 1 
90839 
90826 

90814 
90802 
90790 
90778 
90766 


4o 
3 

37 
36 

35 
34 
33 

32 

35 
29 
28 
27 
26 


25 

24 

23 
22 
21 


4o4o8i9i472 
40434,91461 
4o46i  91449 
4048891437 
4o5i4i9i425 


C03. 


Bin. 


670 


4o54i'|9i4i4 
4o567|  91402 
40594,91390 
4062 1 19 1 378 
40647  91 366 
4067491355 


COB. 


8in. 


66° 


41998 
42024 
42o5i 

42077 
42104 

421 3o 
42 1 56 
42 1 83 
42209 
42235 
42262 


90753 
90741 
90729 

90717 
90704 


COS. 


"I 


90692 
90680 

90668 

90655 
90643 
9063 1 

sin. 


20 

'9 
18 

16 


i5 

i4 
i3 
12 
II 


II 

II 
II 

10 
10 


12 
12 
12 
II 
II 


10 
10 
10 
10 

_9 
9 

9 

I 

8 
8 
8 
8 
_8 

7 
7 
7 
7 
2 
6 
6 
6 
6 
6 


II 
ti 
II 
10 

lO 


i3 
i3 
i3 
12 
12 


12 
12 
II 
II 
II 


10 


65° 


10 
10 
10 

9 
9 

9 
9 


II 

II 
10 

[O 

10 


10 
10 


91  9 


6 
5 
5 
5 


5 

4 

4 
4 
4 

"4 
3 
3 
3 

J 

3 
3 
2 
2 
a 


o 
o 
o 

TT 


6 
6 
6 
5 
5 

5 
5 

5 

4 
4 

4 
4 
4 
3 
3 

1 
3 
3 
2 


o 
o 
o 

T2 


9 
1 

9 

8 

8 
8 
8 

1 

7 
7 
7 

2 
7 

6 
6 
6 

5 
5 

5 
5 

4 
4 
4 
4 
3 

1 
3 


2 
2 
2 
2 
I 

I 
I 
I 
o 
o 
o 

l3 


Diff. 


I 


284 


NATURAL     SINKS     AND     COSINES, 


Dig: 

;.27|  Ml  -45 


25  =» 


«iii. 


COS. 


26» 


tin. 


4-j»6-i  9o63i  4383: 
4228891*18  43863 

423 1 5  9ci6«")6 
42341  90694 

42367  90 SS 2 

42394  9tj569|43968 

4242o;9o557 
42446  9<»545 
424739(1533 

42499'9t.'>52( 


COS. 


89879 

89867 

43889I89854 

39.689841 

89838 


270 


Din. 


43942 


S9816 


43994  89803 

44*>2(i  89791) 

89777 


4i*:iii  5.9050, 
42552*90495 
42578|9o483 
42604190470 

42657  9t*446 
42683  90433 
4270990421 
4273690^08 
4276*  90396 

427o5'9*i353  44359 

4281590371  4438^ 

42841  903 58  444 

I  42t:67  90346  44437 

I  42894  90334  44464 


89752 
89739 
89726 
89713 

442o3897o<i 


44o46 
44072 

44098 
44>24 
44i5i 

44177 


89764 


45399 
45425 
4545 1 

45477 
455o3 


45529 

45554 

45580 
456o6 
45633 

4"5658 
45684 
457i<» 
45736 
45762 


COS. 


S80 


»in. 


CO*. 


44229 
44255 

44>8i 

443*  »7 
44333 


429309032! 
4294690309144516 
~  44542 

44568 
44594 


42972190296 
439999^)284 
43o23  9027r 


89571 

44490  89558 


89657 
89674 
89663 

89649 
896  3fi 

89623  459 
89610459.42 
8959^459(18 
895H4  45994 
46020 


45787 
458 1 3 
45839 
45865 
45891 


1 891 01 
89087 
89074 
89<,)6i 
89048 

89035 
89021 

89<:)o8  ^ 
88995  4 
8898 

88968 
88955 
88943 
88938 
88915 

88903 
88888 
88875 
88863 
88848 


4694788295 
4697388281 
46999'88267 
47o24|882  54 
47o5oi8834o 

4707*)  88226 

47 10!  88213 

47i27'88i99 


43o5i  9<»3  59  4463o 
43o77'90246  44646 
431049023344672 
43 1 309022 1  44698 
431569020844724 


43182  9111964475089438 


4320990183 
43235  901 7 1 
43261  90158 

43  287 '90 1 46 

433i39oi33 
4334090130 
43366:90108 

43392J9«x>95 
43418J90082 

43445  r9OO70 

4347i|9^x'57 
43  497  [900  4  5| 


89545 
8953 
89519 
895o() 


89493 
8948" 
89467 
89454 
89441 


46046 
46073 
46097 
46123 
46149 


88835 
88823 
888<j8 
88795 


17153 
47178 


88i»5 
88172 


47204 
47239 
47255 
47281 

473t)6 

47333 
47358 
47383 
4"'4o9 
47434 


290 


sin. 


COM. 


4848187462 
4860687448 

4853287434 
48557!8742o 
48583  87406 


88.58 

88144 
88i3o 

881 17 
88io3 


488  n 
48837 


H»79t) 

88783 


88768 
88755 

88741 
88738 
88715 


44776 

44802 

44828 

44854 


44880 
44906 
44932 


89415 
89403 
89389 

89376 


89353 

8935 

89337 


4495889334 
44984893^1 

45010189398 
45o36|89285 
45063189272 


43523|^)33{45o88|892  59 
43549|9<x)r945i  1489245 

4514089233 

4516689219 
45.92  89206 


,9tX)07 
4360289994 
43628!8998i 
43654:89968 
4368089956 


45218 
45243 


89193 
8918 


10 


437<»6  89943  45369  8916 
43733:899304529589.53 
437598991845321  89140 
43785,89905453478912-7 


438MI89892 
43837,89879 


CiOi>. 


iin. 


G40 


45373:89114 
453998910. 


CO*. 


ain 


46175 
46301 
46236 
46353 
46378 

463o4 
46  3  3o 
46355 
4638. 
46407 
46433 
46458 
46484 
465 10 
46536 

46567 
46587 
466.3 
46639 
46664 

46690 
46716 
46742 
46767 
46793 


88701 
88688 

88674 
88661 
8864- 

88634 
8862 
88607 
88593 

885H( 

88566 
88553 
88539 
88526 
885.3 


474fK> 
47486 
475 1 1 187993 


88089 
88075 
88063 

88o48 
88o34 

880  3  o 
88cx:)6 


4860887391 
48634'87377 
48659'87363 
4868487349 
48710I87335 


48735,87321 
48761  87306 
48786  87293 


48863 


87278 
87264 


87250 


48888I87335 
489.3  8722. 

48938187207 
4896487.93 


60 
59 
58 

57 
56 

55 
54 
53 

52 

5^ 

5o 
49 

48 

47 
4(^ 


13 

I  I 
It 


i2ji3  i4 
12  1 3  14 
1 3  14 
12  i3 
12  i3 

12  i3 

.2  i3 

1113 
1113 
1112 


4?537 
47662 

47588 
476.4 
47639 
47665 
4-690 


47716 
4774 » 
47767 
47793 
478.8 

47844 
47869 
47895 
47930 

47946 


87979 
87965 


87961 
87937 
87923 

8789*) 


87883 
87868 
87854 
8-r84(  • 
87836 


4898987178 
490.4  87164 
4904087150 
4906687.36 
49f»9o'87i2i 


88485 
88472 
88458 
88446 

8843. 

884.7 
884o4 
8839^) 
88377 
468.9  88363 

46844,88349 
4687088336 
4689688333 

4693 .  883o8 
4694788295 


47971 

47997 
48022 

48048 

48073 

88499J48099 
48124 
48i5o 

48176 
48201 


13 


878 
87798 

87784 
87770 
87756 


87673 
87669 
87645 
87631 
87617 


48226 
48262 
48277 

483o3 
48328 


am. 


•tn. 


63°   I 


620 


48364 
48379 
484o5 
4843o 
48466 


87743 
87729 
87715 
8770. 
8768- 


491 16  87107 
4914187093 
4916687079 
49.92  87064 
492^7  87060 

49342 1 87036 
49268  87031 

49393  87007 
4931886993 
4934486978 

4936986^4 

49394  86949 
4941986935 
4944586931 
4947086906 


49496,86893 
49521,86878 
4964686863 
49671;  86849 
49696  86834 


87603 
87689 
87676 
8766. 
87546 


87533 
876.8 
87604 
87490 
874761 


49633.86830 
49647;868o6 
4967286791 

49697,86777 
49723,86762 


45 
4d 
43 
42 

4^ 

4o 
39 
38 

37 
36 

35 
34 
33 

32 

^1 
3o 
39 
28 

27 
26 

34 

33 
22 
2. 

20 
19 
18 

"7 
.6 


4848187462 


COfl. 


Kin. 


6I0 


49748  86748 
4977386733 
49798867.9 
49824  86704 
49849  86690 

^9874866^5 
498998666. 

49934  86646 
49960  86632 
4997686617 
60000, 866o3 


COd. 


sin. 


.5 
i4 
.3 
12 
1 1 

10 

t 

7 
_6 

6 
4 
3 
2 
I 
o 


1 1 
1 1 
1 1 

10 

JO 

.0 
10 
10 

9 

_? 

9 

9 

t 

8 
8 
8 

7 
J7 

7 
7 
7 
6 
6 

6 
6 
6 
5 

5 
5 
5 
4 
_4 

4 
4 
4 
3 
3 


u  12 
II  11 

ro  I . 
.0  I . 
.0  . . 

10  n 

10  10 

9  10 

9  10 

9  .0 
__ 


9 
8 

8 

8 

_8 

1 

7; 
7 

7: 

1 

! 

6 
6 

"5" 

5' 

5! 

I 


4 
4 
4 
4 


3 

3 
3, 

3{ 
21 

2 
2 
3 
2 
I 


6O0 


12 


5 
4 
4 
4 

A 
4 
3 
3 
3 

i 
2 

2 

2 

2 


NATURAL     SINES     AND     COSINES 


285 


Diff. 


25  24  23 


4 


8 

9 

9 

10 

.0 
.0 

u 
12 
12 

is 
i3 
1 3 
i4 
14 

.5 
.5 
16 
.6 
.6 

17 
17 


4 
4 
5 

5 


8 
8 

9 

9 
10 

.0 


8 
8 
8 

9 

10 
10!  10 


II 
12 


10 
1 1 
I . 


.2  12 

12jl2 
l3  12 

i3'.3 
.4!i3 

71 


14 
14 
i5 
i5 
16 


Diff. 


16 
16 

'8117 

18  17 

18 18 

.9:18 
30I19 

20|l9 

20,20 


14 
14 

.6 

16 
16 
.6 
17 


21 
21 
22 
22 

23 


17 
.8 

f8 

18 

19 


20 
20 
21 

21 

22 


23|22 

23j22 
24  23 


24 

25 


23 

24 


•9 
20 

20 

20 

21 

21 
21 
22 
22 

23 


25l34'23 


o 
I 

2 
3 

5 
6 

7 
8 

1 

10 

.  I 
12 
.3 
14 

.5 

16 

•7 
18 

^1 
20 
21 
22 

2  3 

24 

26 
26 

27 
28 

29 
3o 
3. 

33 

33 
34 

35 
36 

37 
38 

4o 

4i 
42 
43 
44 


30° 


45 
46 

47 

48 

^_? 
5o 
5i 
62 
53 
54 

55 
56 

67 
58 

59 
60 


Bin. 

5oooo 
60035 
60060 
60076 
60101 

60.36 
5oi5« 
60176 
60201 

60227 

5o352 


COS. 


60377 
6o3o2 
5o337 
60362! 

60377 
5o4o3 
60428 
60453 
50478 

5o5o3 
50338 
5o653 

60678 
5o6o3 

60638 
5f)654 
60679 


60704 
60729 


866o3 
86588 
86673 
86669 
86544 
8653o 
865.5 
865o. 
8<)4«6 
86471 

86457 
86443 
86427 
864.3 
86398 

8lH84 
86369 
86364 
86340 
86325 

8'6iTr) 
86396 
86281 
86366 
86361 


31° 


810. 


5i5o4 
5.529 

5.554 
6.579 
5.6f)4 


61628 
5.653 

5.678 
6.703 
5.738 


COS. 


867.7 
86702 
86687 
86672 

85657 


32° 


sin. 


6.753 
61778 
6.8o3 
5.828 
6.853 


5.877 
5 1 903 
"[937 
5.952 

5.977 


85642 
86627 
856.2 
86697 
85582 


86337 
86222 
86207 
86192 
86. 78 


62003 
53036 
6306. 
63076 
53 10. 


63.26 
621 5. 
63175 
62200 
62726 


85567 

8556 

85636 

8552. 

855o6 

8"5497 
86476 
8546. 
85446 
8643. 

8l476 
854o. 
85385 
85  3-0 
85355 


63992 

53017 
63o4i 
5  3  066 


COS. 


84806 
84789 

84774 
84769 


53091  84743 
53 .75  84728 


53r4o 


84712 


53.6484697 
53 1 8918468 1 
532.4  84666 

8465o 


53338 
53363 
53388 
533.2 
53337 

53367 
53386 
634 1 1 
53435 


33° 


sm. 


COS. 


340 


9in.  i  COS. 


54586 
546.0 
54635 


5446483867669.983904 
54488  8385.  5594382887 

545j3 

54537 
54561 


838355596883871 
838i9|65992  82865 


838o4 


83788 
83772 
83756 


54659'8374o 
546838373.4 


5470883708 

84635  54732!83693 

64766'83676 


84619 
846o4 

84588 

845^3 
84567 
84543 
84526 


53460845.1 


60764  86i63j5226o 
60779  86.48  53376 


5o8o4:86(33iD3399 


6082986.  .9 
6o85i|86.o4 

5o879:86o.i9 


8534o 
86335 
853.0 
86294 
86379 

85^j4 
86249 
86334 
633341853.8 
53349!853o3 


5348484496 

5350984480 

53534I84464 
53558'84448 
53583|8M_433 

53607844.7 
63633:844o2 
53656  84386 


64781 
64»o5 

54839 
54854 


8366o 
83645 

83629 
836.3 
54878183597 
549028358. 
5493783565 

5496 1 1 83549 
5497683533 

64999835.7 
66024  835o. 
55o4883486 


6601682839 


6604082822 
66<j64'828o6 
6608882790 
56. 12I82773 
66.3683767 
66i(x>  8374. 
56184  82724 
6620882708 
56232183693 
6626683675 


63374 


85.88 
85.73 


6o9o4'86o74  63399 
6o939'86o59  53423)85.57 
5o954|86'.45  5244S|85i42 
60979,86030  63473  85.27 


6 1 004.860. 5|  5  2  498 
5.o39;86ooo52632 

5(05486986  62647 
5.079|8597o'53  572 
5  [104,86956  62697 


5368. 
53706 


84370 
84365 


5373084339 
5375-4!84324 
5377984308 
538o4  84392 
53828184377 

53"853'84^r 
5387784346 
53902  8433o 
53936842.4 
5  395.,  84 .98 


55072J83469 

55097-83463 

55.31183437 

55i45i8342i 

55.6983406 


85 II 3  53976  84.82 
86096  6400084.67 
86081  54024:84.6. 
860665404984.35 


55.9483389 
552i8'83373 
66242 183366 
55366  8334o 
56291  83324 

55375,833(78 
65339'83392 
5536383276 
5538883260 
554 1 2183244 


85o6i 


5. 1 298594ij5v63ij85o35 
6u54j85926:63646|85o3o 
5. 179 869. 1  5267i;85oo5 


85866 


5 1 204186895 
5.3  39|8588f 

5.254 
61279 

6i3o4 
5.339 

5.354 


62696^84989 
6272084974 


54073  84i3o 


5409784104 
54t33;84o88 
64 1 46  84073 
64i  71 184067 
54.96^8404. 

5433084035 


63745  84969 
8585r|5377o  84943  64244  84009 
85836  52794  84938  5436983994 
8583 1  628 . 9  8491 3  64393  83978 


86806  53844  84897 
5137918679262869^84882 


5i4o4 
61429 
5.454 

5.479 
5.604 


C03. 


54317,83962 
5434283946 

54366  83930 


6543683228 
5546o'832i2 
5548483. 96 
6660983.79 
5563383.63 

55557  83 147 
5558.  83.3. 
556o5  83ii5 
5563o83o98 
65654:83o82 


66280  83(r39 
563o5j8i643 
6633982626 
56353  836.0 
6637783593 

6640.182677 
564358256. 

6644982644 
6647382638 
66497  8261 . 

5,163 1  82496 
6654583478 
66669  82462 
5669382446 
66617  83429 

5664.  824.3 
5666682396 
6668982380 
567.3  82363 
5673682347 


6676082330 

66784,823.4 
66808182297 
56832 '8228 1 
56856  82264 


85777J5  2893  84866 
86762629188485.154391:83915 
85747  5294384836  54416 83899 
86732  62967  84820  5444o'83883 


86717 


sin. 


5.»o 


6299284806 


COS. 


am. 


5S° 


54464,83867 


COS. 


sin. 


57° 


55678j83o66 
55702'83o6o 

5672683o34 
5675oj83oi7 
55775:83ooi 

66799,839851 


6688082248 
569048223. 
66928822.4 
5696282.98 
66976  82.81 

6700082165 
6702482148 
67047,82132 
6707.  82116 
67096  82098 


6711982082 
6714382066 
67167,82048 
57191  82032 
67215  82016 

572388.999 


55823  82969'57262  81982 
56847182953,6738681966 
6687.1829366731081949 


66896,82920 
669 1 9' 82904 


COS. 


sin. 


56° 


673348.932 
57358819.6 


cos. 


sill. 


55° 


60 
59 

68 

57 
56 

65 

54 
53 

52 

5i> 

49 

48 

47 
46 


45 
44 
43 
42 
4i 


4o 
39 
38 

37 
36 

35 
34 
33 

32 

3i 

3^ 
29 

28 

27 
26 

is 

34 

23 

22 
21 

20 

19 
18 

17 

.6 


i5 

i4 
i3 
12 
II 

10 

9 

8 

7 
6 


:5j: 

[5! 

:5, 

(4 

i4 

i4' 
i4 

3 

3 

3 

[3' 

[3 
2 

[2 
12 

1 
I 
I 
I 
10 

10 
10 
10 

9 
9 


6ji7 
6I17 
5  16 
5i6 
16 

16 
i5 
i5 
i5 
i4 

i4 

i4 
14 
i3 
i3 

i3 
12 
12 

12 
12 


9 

9 

8 

8 
8 


8 

7 

7 
7 

_7 

6 
6 
6 
6 


i5 
i4 
4 
i4 

'i 

1 3 

i3 

3 

t3 

2 

2 
2 
J 
1 
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1 

o 
o 
o 
o 

~9 

9 

9 

9 
_8 

"8 
8 

7 
7 

2 

1 
6 
6 
6 
6 


11 
11 
If 
10 
10 

10 
10 

9 

9 

I 

8 
8 


7 
7 
7 
6 


5 
5 
5 
4 


4 
4 
3 
3 

1 
3 
3 
2 

2 


I 

r 
I 
I 

o 
o 


5 
5 

5 

5 

_4 

4 
4 
3 
3 

"3 

3 
2 
2 
3 

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I 
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O 


6 
5 

5 

5 

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4 
4 
4 
3 
3 


15'  16 

irni 


3 

3 

3 

I 
I 
1 
I 

O 
O 

17 


I 


i 


886 


NATURAL     SINB8     AND     COSINKS. 


if4 

O 

O 

.,1 

1 


2H  » 
o 

€1 
I 
I 
I 


3' 


*1 

M  3 

3!  3 

3;  3!;  3 

4'  4'  4 


4i:  4 
5    5 

51  1 
i;    «# 

6|  5 

iJ|i    UP 

6 

71 
7 

A! 

Hi  8 

8   8 
O'  8 

9 

to 


9 


lO 

II 


lO 

II 
II 

1 9  1 1 


4 
4 
5 

c 

•J 

6 
6 
6 
7 
_7 

7 
8 

8 

1 

9 

ro 

lo 

II 


la  ra  1 1 
la-i'j  It 
I  all  a 

i3  12 


1 3 
1 4, 

i4fi3ii  3 
i4ii4ii3 

i5'  i4||4 
i5|i5|;i4 
i6  i5|i4 

i6!i5j,i5 
i6|,  i6|i5 
I7jii6)i5 

I7ji6ji6 
,i8j|i7  i6 

i8  17  i'7 
18;  18  17 
i9j8'[i7 
10J8118 
?o  19  18 

30    I9J8 

aoi  20:19 
'JI  X)  19 
a  I  ^(1  1 9 
2  2  JI  yo 

22,2]  120 
22,2Ij2l 

33'22'2I 
34;23:22 
34  23 '32 


O 
I 
3 

3 
4 

"5 
6 
7 

o 

o 

I  o 

I I 

12 

i3 
1 4 
15 

16 
17 

18 
1? 

2i> 

ai 
22 

23 

24 

25 

26 

2^ 

aa 

^? 
3() 
3 1 

33 

33 
31 

35 
36 
3- 
38 
39 

4o 
4t 

42 
43 

44 

45 
46 
47 
48 

49 
So 
Si 

52 

53 

54 

55 
56 

57 

58 
59 
60 


»o 


57358  hi yi,^ 
5738 1 ':8 1 890 


Si8i3 

8I86S 

81848 


574*  »5 
57429 

5747"7i8i832 
5-'   -■H,5 

3'*"  .  '  '  •  i      ■  ■  '  "l^y  ^ 

5754t>,^i".-'> 
8 


5"^)"'> 


5-596' 


8 1 748 

576191817.31 
5^643''8i7i4 
57^)781698 
5'769i;8^68i 

577T5  87664 
5 — ■'^*^'«r'>47 
5-^         •'>3i 

577tt6;8i6i4 
5-8ii>Si597 

57bTi  ^T^~ 
57B5- 

5788118 1 546 
579o4'8i53o 
5792B|8i5t3 

5-'952'8i496 
579-«i8i4-'9  59389 
5-999  Hi  46? 
58o23  81445 
58i>4' 81428 


1S5" 


•in. 


58836 
58849 

58873 

588^i 
5892* 


809*)  2 
8t>885 

8o8<i7 

8o85c 
8c->833 

8o876 
80799 
80782 
;)765 
8<»748 


')89<:j7 
58990 

590i4j8o73o 
59i>37l8o"»!3 
59trfHJ8o<>9(i 


60274 

6t:»298 

6t>3a  1 

()o344 
60367 
390 

(x>4 1 4 


■9^)886179578622 
604  37 1 79(171  61 8!  8' 78(104 

(X)4(k»  79^>'i'<6i84iJ78586 
59o84J8<  1679  6t>483  79635  6 1 864 
59ii>8!8o662  ^  "^  '*'-  -c  «  /•  «« 


8<'')44 
8«t627 
806 1  o 


58«J-o8i4i2 

58094J81395 
58ii8j8i378 
58i4i8i36i 
58 1 65  81 344 
58 1  tt9|  Hi"  32^' 
582i2J8i3io 
5S23681293 
582601812-6 
58i83i8i259 

58"3o7'8i242 
5833ol8ia25 
58354  81  ao8 
5837881191 
584oi  81 174 


5842 5 18 1 1 57 
58449}8i  i4o 
5847i'j8ii23 
58496j8iKrfi 
58519.81089 

585 -i3  81072 
58567,8 1  o55 
5B59o8io38 


591 3 1 
59154 
59178 
59301 
59225 

59248 
59272 
59295 
59318 
59342 

59 


59I13 
59436  8o42< 


6«i5«i6  79618  6188778550 

78532 


6<)5>9 
(x)55j 

<k>576 


80576 

8o558 

8o54 

8o534 

8o5o7 

80489 


80455 


■)9459 


59482 

59506 
59529 
59552 

59576 

39^599 

59622 

59646 

9<j69 


8o4o3 


80  386 
8o368 
8o35i 

Bo334 
8o3t6 


80299 
80282 
80264 

8oa47 


5971680212 
59739I80195 
59763:80178 
5978680160 
5960980143 

59832  801  a5 
5985680108 
5987980091 
80073 


JfcT 


Vltl. 


liS" 


•In* 


ll*CWI» 


ti<>.82!79864  6156678801 
6<vj<,5i79846  61 589  78783 
61)228179829  6161 2J78765 

60a 5 1  7981 1  6i635|78747 


79793 

79776 
79758 

7974' 

79723 


"K5- 


«in. 

6293a 
62955 
62977 
63tx)o 
63oa2 


60622 


796(H) 
7083 

79565 

79547 
9530 


6(3645 
60668 
60691 
60714 
60738 

6t)76i 
60784 
60807 
608  3o 
6o853 


61909 
61932 
61955 
61978 
62001 


79512 

79494 
79477 


79459  62092 
79441  621 1 5 

79424 
79406 
79388 
79371 

7922? 

79335 


62 1 38 
62160 
62183 

622<l6 

62229 


60876 
60899I793I8 

60922  793<'x-> 
6094579282 
60968  79264 


60991  79347 
6io»5  79229 


6io38 
61061 


792 1 1 
79193 


59693  802 3061084 h9 176 


61 107  79158 
61 13079140 

61 1 53  79122 


61176 
61 199 


61222 
6ia45 
61368 
61291 
8oo56  6i3i4 


59902 
59926 

59949JK(x>38!6i337 
59972180021J61360 

f»9995  J8ooo3j6 1 383 


79105 
79087 
79069 
79t)5i 
79033 
79016 
78998 


78980 
78962 
78944 


586 1 4|8i 02 1  fx)Oi 9  79986 6i4<*!789j6 

58637  8 1 004  6004 2  79968  6 1 429  78908 


58684 


80987  6oo65  7995 1  6 1 45 1 
8o970,6(X)89|79934|6 1 474 


78891 

78873 

78855 

5873  f  !8o936.'f)oi  35I79I599I61 520  78837 


58708 80953^60 II 3  79916 61497 


175580919 

5877980^? 


cm. 


6015879881 
60182  79864 


SIB.. 


540 


C'Chpii 


Kiri. 


530 


615(1678801 


cai. 


iia. 


520 


6165878729 

6 1 68 1  78711  63o45 
6 1 7o4|  7869463068 
6 1 7261 78676  63090 
-  (i3ii3 
63i35 


61749  7K658 

797066177278640 


62024 
62046 
62069 


6225 

62274 

62297 

62320 

62342 

6a  365 
62  388 
6241 1 
63433 
6a456 


6a479 
62502 

62524 

62547 
62570 

62592 
626 1 5 
62638 
62660 
62683 


62706 
62728 
62751 
62774 
62796 


61543,78819  629*19  77733 


62932 


785 1 4 
78496 

78478 
78460 

78442 
78424 
78405 
78387 
78369 


63i58 
63 180 
632o3 
63225 
633^ 

63271 
63293 
633 16 
63338 
6336i 


7835 
78333 
783  i  5 
78297 
78279 


78261 
78243 
78225 
78206 
78188 

78170 
78152 
78134 
78116 


78079 
78061 
78043 
78025 


779«8 

77970 

77952 
77934 


77897 


cot. 

77715 
77696 

77678 
77(j(k> 
77641 

77623 
77605 
77586 
77568 
7755o 


7753 1 
775i3 
774q4 
77476 
77458 


77439 

77421 
77402 
77384 
77366 


63383 
634o6 
63428 
6345 1 


77347 
77329 
773 10 
77392 


63473,77273 
6349677255 


635 18 
63  540 
63563 


77236 
77218 

77199 


63585 17718  i 

63608177162 
6363ot77 1 44 
63653177125 


63675 
63698 


63720 
63743 
63765 
63787 
7809863810 


63832 


77107 
77f>88 


77070 
77o5i 
77o33 
77014 
76996 


76977 


(i3854  76959 
6387776940 
63899  769a  1 


78007  63923 


63944 
63966 
63989 
64oii 


7791664033 


64o56 


77879  64078 
7786 
77843 
77824 


64 1 00 
64123 
64 1 45 


76903 

76884 
768(16 

76847 
76828 
76810 

76791 

76772 

76754 
76735 

76717 


62819778061641(37 
62842  7778864190 
62864  7776964212 
62887  7775 1  [64234 
'"  -  -  -       "^  Y)4256 


COP.  I  iin. 


510 


7771564279 


7^)698 
7(1679 
76661 
76642 
7(1623 
■76604 


cos, 


.  I 


Bin. 


50O 


60 

5? 

57 
56 

55 

54 
53 

52 

5o 

4' 
4 

47 
46 

45 
44 
43 
42 
4[ 

40 

3 

3 

37 
36 

35 
34 
33 

32 

3i^ 

3^ 
29 
28 

27 
a6 

24 

33 
33 
31 


30 
19 
18 

«7 
16 


i5 
i4 
i3 
la 
II 


10 


7 

1 
"5 

4 
3 
2 
I 
o 


17 

»7 
16 
16 
11^6 

16 
i5 
i5 
i5 
|4 

14 
M 
14 
i3 

!l 
i3 
12 

12 

12 
12 

I  I 
I  1 
II 
10 
10 


10 
10 

9 

9 
_? 

9 

8 

8 
8 

_7 

7 
7 
7 
6 
6 


4 
4 
3 
3 
3 


16 


6 
5 
5 
5 
5 

~4 
4 
4 
3 

1 
3 

2 
2 

3 


18 
18 
17 

17 
]1 

n 
16 
16 
16 

i5 

i5 
i5 
i4 
14 
ii4 

i4 
i3 
i3 
i3 

13 

12 
12 
II 
II 
II 

I  I 
10 
10 
10 

_? 

9 

9 
8 

8 

8 

"8 
7 
7 
7 

_6 

6 
6 
5 
5 


o  o 

17  11 


Diff. 


NATUHAL  SINES  AND  COSINES. 


287 


Diff. 


22  21  20 


3 

a 

3 
3 
3 

~4 
4 
4 
5 

6 
6 
6 

7 
7 

7 
8 
8 
8 


9 

o 

o 
o 
I 

I 
I 

2 
2 
2 

3 

3 
4 
4 
4 

5 
5 
5 
6 
6 

7 
7 
7 
8 
8 

8 

9 

9 

9 
20 

30 
21 

ai 
ai 
aa 

32 


4 
4 
4 
5 
_5 

5 
6 
6 
6 

1 
7 
7 
8 
8 
8 


9 
9 

9 

o 

o 


6 
6 
6 

7 
7 

8 
8 
8 

9 

9 

9 
ao 

20 

ao 

31 

21 


o 
o 
I 
I 

2 
2 
2 

3 
3 

3 
4 
4 
4 
^ 

5 
5 

6 
6 
6 

7 
7 
7 
8 
8 

8 

9 

9 

9 
20 

ao 


o 
I 
2 
3 

J 
5 

6 

7 
8 

^? 
10 
II 
12 
i3 
14 

i5 
16 

17 
18 

}1 

30 

31 
33 

33 
34 


35 

26 

27 
38 
29 

3o 
3i 

32 

33 
34 

35 
36 

37 
38 

% 
4o 

4i 
42 

43 

44 

45 
46 

47 

48 

49 

5o 
5t 

52 

53 

54 

55 
56 

57 

58 

59 
60 


400 


sin. 
64279 

643oi 
64323 
64346 
64368 

64390 
64412 
64435 
64457 
64479 
645oi 
64524 
64546 
64568 
64590 


COS. 


7(1604 
76586 
76567 
76548 
76530 


64612 
64635 
64657 
64679 
64701 


64723 
64746 
64768 
64790 
648 1 2 


64834 
64856 
64878 
64901 
64923 


64945 
64967 
64989 
65oii 
65o33 


765 1 1 
76492 
76473 
76455 
76436 


41° 


sin. 


656o6 
65628 
6565o 
65672 
65694 


65716 
65738 
65759 

65781 
658o3 


COM. 


75471 
75452 
75433 

75414 
75395 


(16913 
(16935 
66956 
66978 
66999 


76417 


76380 
7636i 
76342 


65825 


76398  65847 


65869 
6589! 
65913 


76323 
76304 
76286 
76267 
76248 


65935 
65956 
65978 
(1(1000 
66022 


7622966044 
7621066066 
76192J66088 
76 1 73.66 1 09 
76154  661 3 1 


76i35j66i53 
761 1666175 
7609766197 
76078,66218 
76059  66240 

6626.J 


76041 
76022 


66284 


65o55 
65o77 
65 1 00 

65l22 

65 1 44 

65i66 
65 1 88 
652 10 
65232 
65254 

65276 
65298 


76003  i663o6 
7598466327 
7596566349 


75375 
75356 
75337 
753i8 
75299 


6702 1 
67043 
67064 
67086 
67107 


75280 
75261 
75241 
75222 
75203 


75i84 
75i65 
75 1 46 
75126 

75107 


75o88 
75069 
75o5o 
75o3o 
75oii 


74992 
74973 
74953 
74934 
74915 


420 


8in. 


COD. 


67129 
671 5 1 

67172 
67194 
67215 


67237 
67258 
67280 
67301 
67323 

67344 
67366 

67387 


743 1 4 
74295 
74276 


6820073135 
68221  73l 16 


68242 


742566826473076 


74237 


74120 
74100 
74080 
7406] 

74o4i 

74022 
74002 


430 


Bin. 


con. 


73096 


68^5'73r)56 

683o6j73o36 
68327j73oi6 
6834972996 
68370J72976 


694(16171934 
69487171914 
(19508  71894 
(19529 
69549 


74217 
74198 
74178 
74159 
74139  68391172957 

68412172937 
68434172917 
68455,72897 

6847672877 

68497172857 


685i8,72837 
6853972817 

73983  68561  {72797 
73963|6858p.72777 

73944j686f)3  72757 


7392468624  72737  69883  71529 
73904168645  727 1 7  69904  71 5o8 
73885  68666  72697  69925  71488 
67409  73865  6S688  726-7  69946  71468 
67430  73846  6870972657  699(i6  71447 


440 


■in. 


con. 


71873 
71853 


71833 

71813 
71792 

71773 
71752 


(19070 
69591 
69612 
69633 
69654 

6^571733 
(^969671711 
69717  71691 
69737 
69758 


71071 
7i65o 


(1977971630 
69800  71610 

69821171590 
(i9842J7i569 
69862171549 


67452  73826.68730  7263^ 
6747373806:6875172617 
67495173787  68772  72597 


67516  73767 
67538I73747 


74857 
74838 
74818 


75946^(1637 
75927  66393 
7590866414 
7588966436 
7587066458 


7585i  66480 
75832;665oi 
758i3  66523 

75794'665  f  5 
75775(i65(i6 

75756.66588 
7573866610 


74799 

74780 

74760 

74741 
74722 


65320  757'9(«3632 


65342 
65364 


75700(1(1653 
7568066675 


653867566166697 
654o8  75642'667i8 
6543o  75623  (16740 
65452  756o4  (16762 
65474  75585  66783 

75566  6(S8^i5 
75547,(16827 


65496 
655 1 8 
6554o 
65562 
65584 
656o6 


cos. 


75528,66848 
7550966870 


75490 
75471 


66891 


Bin. 


490 


747o3 
74683 
74664 
74644 
74625 

74606 
74586 
7456- 
74548 
745'8 


74509 
74489 
74470 
7445. 
7443 1 

744 1 2 

7439) 
74373 
74353 
74334 


66913  743i4 


COil. 


Sin. 


4SO 


67602 
67623 
67645 


6-()()6 
67688 
67709 
67730 
67752 


67773 
67795 
67816 


68793  72577 
688 1 4  72557 
68835  72537 

,6885772517 
736886887872497 
736696889972477 
736496892072457 


78629 
78610 
73590 

73570 
73551 


7353i 
735 1 1 
73491 

67837173472 
6785973452 


68941,72437 
68962  72417 
68983  72897 
690047237- 
69025  7235- 

6904672887 

(19067I72317 
69088,72297 
69109  72277 
69180  7225-' 


6788073482 


,691 5i  72236 


67901I7341369172  72216 
67928  78398(19193  73196 
67944733-'3  69''i472i-6 
67965  73853  69235  72 1 56 

6798773333,6^67^6 

68oo8j733  J  4169277  721 16 
(18029  73294|6g998  72095 
68051173274.6931979075 
68072173954.698^0  79055 

68093 ' 73234.6986 1'  72035 
6811573215,69882  7201 5 
68 1 86  78 1 9569408  7 1 995 
681 57|73 175  (194 '>4  71974 
68 1 79  73i  55,69445  7 1 954 
6820078 1 35,694(^6  7 1 984 


CO"*. 


sin. 


470 


P09. 


Sin. 


460 


69987J71427 
70008  71407 
7002971386 
7004971866 
70070J7I345 

7009171825 
70112  7i3o5 
70182  71284 
70153  71264 
70 1 741 7 1 243 


70195J71223 
7021571208 
70236|7i  182 

70257171162 
70277  7114 1 


71121 

71 100 


70298 

70819 

708  89!  7 1 080 

7o8(iO|  71059 

7o38i|7H)39 

7o4oij7ioi9 
7042270998 
7044  3 1 70978 

7046370957 
70484  j  70987 


7050570916 

70525,70896 
7054670875 
70567J70855 
7o5877o834 


70608,70818 
70628-0-98 
70649,70772 
70670  70752 
70(19070731 

707ll'707i  I 
CO"*,  t  sin. 


430 


(k) 

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LOGARITHMS     OF    NUMBIBS. 


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275 
276 

277 
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291 


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355 
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368 
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370 
371 
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377 
378 
379 

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386  58659 

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388  58883 

389  58995 

390 
391 
392 
393 
394 

395 
396 
397 
398 

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12 
12 
13 

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12 
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12 
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24 

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59550 

59660 
59770 
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12 


38 


38 

37 
37 

37 
37 


37 
37 
37 
37 
37 


24 
24 
24 

25 
35 

24 

24 

24 

24 

12  24 
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12 
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37 
37 

36 
37 

37 


12 
12 
12 
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12 
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12 
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23 
23 


36 
36 
36 
36 

36 

36 
36 
35 
35 
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2435 
2435 
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12 
12 
12 
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23 
33 
23 
23 
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23 
23 
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34 
35 

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35 
35 
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12 
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10 

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33 

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23 
23 
22 


23 
22 
22 
22 
22 


5i 
5i 
5o 
5i 
5o 


5  |_tt_ 
6476 


5o 


64 
63 

64 
63 


63 


5o  62 
5062 
5062 
4962 

49!62 


49 


5062 


5o 
49 


62 


49 

4 

4 

49 

49 

48 

48 

48 

47 
48 

48 

48 
47 
47 
47 


62 
62 

67 
61 
61 
61 
61 


47 

47 

47 

46 

47 


61 

60 

60 

60 

59 

59 

58 
59 

58 


77 
76 
76 
76 

75 
75 
75 
75 

74 
74 
74 
74 
74 

73 
73 
73 

73 

73 

73 

72 

72 
71 
72 


71  8 


72 

7.1 
71 

71 
70 


71 
71 
70 

70 


5870 


34 
33 

34 
34 
3^ 

34 
33 
33 
33 
33 


46 
46 
46 
46 
46 


46 
46 
46 
45 
45 

45 
45 
45 
45 
45 


58 

57 
58 
58 

57 


70 
69 

69 


45 
44 


22 
21 
22 
22 
22 


33 

32 

33 

33 

33 

3 


44 
44 
44 


44 
43 
44 
44 
44 


57 
57 
57 
57 
57 

56 
56 
56 
56 
56 

56 
55 
55 
55 
55 

55 

54 
55 
55 
55 


102 

lOI 


100 
100 

100 
100 

99 


89102 
89  102 
88  loi 
89 
88 

88 

87 

87 
87 

^2 
87 

86 
87 
87 
86 

85 
85 
85 
85 

85 

85 

84 
84 
83 

84 


99 
99 
99 


98 

97 
97 
97 

9Z 
96 

95 


ii5 
ii5 
ii4 
f  i4 
i_i3 

771 

113 
112 
112 
III 


83 
83 
82 
82 
82 


69 
69 
68 
68 
68 

68 

67 
67 
67 
67 


82 
82 
82 
8t 
8c 

8i' 
8f 
81 
81 
80 


95 
94 
94 
9i 
94 
94 
94 
93 

93 


lit 
lit 
III 
III 
III 

no 
no 
109 
109 
109 

109 
108 
108 
107 
107 
107 
i07 
106 
106 
io5 

106 
106 
io5 
io5 
io5 


67 
66 
66 

67 
66 


66 
65 
66 
66 
66 


80 
80 
80 

79 
79 

7' 

79 

78 

78 


93 
92 

92 

92 

91 


92 
92 

9' 
90 

9^ 


78 

77 
77 
78 
77 

77 
76 

77 
77 
76 


90 
90 
90 
90 

89 


89 
88 

88 

89 

88 

88 

87 
87 
88 

87 

8 


io4 
io4 
io4 
io3 
io3 

io3 
io3 
io3 
102 
102 

101 

lOI 
lOI 
lOI 

100 

lOI 

100 
99 

lOO 

99 


98 
98 


Jf. 


Log. 


4oo  60206 
4oi  6o3i4 
60423 
6o53i 


4o2 
4o3 


4o46o638 

4o5 160746 
4o6  6o853 
40760959 
40861066 
409  6 II 72 


Proportional  Parts. 


41061278 

4i  I  61 384 
4i  2  61490 
4x3  61595 
4i4  61700 


4i5 
416 

4t7 

4i8 


6i8o5 
61909 
62014 
62118 


41962221 


42062325 
421  62428 
42262531 
423162634 
42462737 

425J62839 
42662941 
63o43 
>63i44 


427 
428 
429  63246 

43o'63l47 


43 1 
432 
433 


63448 
63548 
63649 


434,63749 

435:63849 
436  6394 


437 

438 
439 


440 
44 1 


64o48 

64i47 
64246 


64345 
64444 
442  64542 
443164640 
44464738 

445  64836 

446  64933 


Pivportioual  Parti. 


_i 
II 
II 
10 
10 
II 


10 
10 
II 
II 
II 


447 
448 

449 


II 
II 


2^ 
22 
22 

31 

21 
22 


331 
33 

32 

32 
32 


21 
21 
22 
21 
22 


22 
21 


1021 


II 
II 


10 
II 
10 
10 
II 


32 
32 
32 
32 
33 


32 
32 

3i 

32 

3i 


43 
44 
43 
43 


_5_|_6_ 

5465 
5565 
54  64 
5364 
4315465 

53  64 
53  64 
5464 
53  64 
5364 


21 
21 
20 
20 
21 


3i 

32 

3i 
3i 
3i 


10 
II 
1 1 
10 
10 


10 
10 
10 
II 
10 

10 
10 
10 
10 
10 


21 
21 
21 
21 
20 


3i 
3i 
3 1 
3i 
3o 


42 
42 
43 
43 
43 

43|5364 
4253  64 
42  52  63 
53'63 
52|63 

5il63 
5363 
5262 
5262 
52163 

52  62 
5262 
5262 
51I62 
5i|6i 


42 

42 

42 
42 
4i 
4i 
42 


7687 


76 

75 
75 

75 
74 
75 
74 


8 


87 
86 

86 

86 

85 
85 
86 
85 


98 
98 

96 
97 


75  85 

7485 

74  85 
73  84 


20 
20 
20 

31 
30 


3i 
3i 
3o 
3i 
3o 


30 
20 
20 
20 
20 


10 
10 
10 
10 
10 


3o 
3o 
3i 
3o 
3o 


4i 
4i 
4i 
4i 
4i 

4i 
4i 
40 
4i 
40 


74 

73 
73 


8495 


96 
96 

95 
94 


84 


83 


94 


5i!6i 


5i 
5i 


61 
61 


5 1  61 
5o6o 

I 

4o  5o  60 
4o5o6o 


10 
10 
10 
10 
10 


20 

30 

20 

30 

30 

20 

20 
20 
20 
20 


3o 
3o 
3o 
3o 
3o 


65o3i 
65 1 28 
65225 

65327 
654 1 8 
655i4 
656 10 
65706 


45o 

45 1 

452 

453 

454 

455  6580I 

456165896 


457 
458 
459 

N. 


65992 
66087 
66181 


Log. 


10 
10 

9 
9 

_? 

10 

9 
9 
9 
9 


20 
20 

»9 
'9 
!? 
20 
19 
19 

•9 
»9 


3o 

It 

3o 
3o 

29 
29 
29 


4i'5i 
4o|5o 
4o 


61 

60 


10 
10 

9 

9 
10 

T 


19 
20 

19 
19 

2 


29 
29 
29 
29 

28 

29 
29 

28 

28 

£? 
3 


40 
39 

4o 
4o 
4o 

40 

39 

40 

4o 
39 


5o:6o 

5o'6o 

4959 
5o6o 


84 
72|83 
7283 
73  83 

83 
83 
82 
82 
81^ 

82 
81 
81 
81 
81 


72 
72 
72 
72 
71 


71 

7« 
71 
7» 
71 
70 
70 


94 
94 
93 
93 
94 

93 

93 
92 

92 

92 
92 

9^ 
92 

91 


39 
39 


5o 
5o 


60 
60 


5o59 
4959 
4959 

49i59 
49j59 

4959 

,  49  59 
394858 
39  48|58 
38  48158 


81 
80 
7181 
7080 
7080 

80 


70 
69 

70 
70 


79 
80 


7080 


9' 
90 

9' 
90 

90 

90 
89 

89 
90 

89 


6979189 
69  79,89 


3948 
38  48 
3848 
38|48 
38147 

38i48 
39^48 
38,47 

3747 
38148 

tI"5 


58 

57 
57 
57 
57 

57 
58 

57 
56 

57 


69 

68 
69 
68 
68 
67 


78I88 
88 


78 

78 
77 
77 
77 


68 
67 
67 
67 
66 

67 
67 
66 
66 
66 

T 


88 
87 
87 
87 

87 
86 


77 
77 
7786 


76 

z5 
76 

77 
76 
75 
76 

8 


86 
86 

86 
86 
85 
85 
8^ 
9 


Proportional  Parts. 


292              LOGARITHMS  OF  NUMBERS.                  | 

N. 

46o 
46i 
46a 
463 

464 

465 
466 

467 
468 

469 

470 
47 1 
472 
473 
474 

475 
476 

477 
478 
479 
480 
481 
482 
483 
484 

485 
486 
487 
488 
489 

490 
491 
492 
493 

494 

495 
496 
497 
498 
49? 
5cx> 
5oi 
5o2 
5o3 
5o4 

5o5 
5o6 

5o7 
5o8 
509 

5io 
5ii 

5l2 

5i3 
5i4 

5i5 
5i6 

5i7 
5i8 
519 

liOgr* 

66276 
66370 
66464 
66558 
66652 

66745 
66839 
66932 
67025 
67117 

67210 
67302 
67394 
67486 
67578 

67669 

67761 
67852 
67943 
68o34 

68F^4 
68215 
683o5 
68395 

68485 

68574 
68664 
68753 
68842 
68931 

69020 
69108 
69197 
69^)85 
69I73 

69461 
69548 
69636 

69723 
69810 

69^97 
69984 

7tK)70 

70157 
70243 

70329 

704 1 5 
7o5oi 

7o586 
70672 

70757 
70842 
70927 
71012 
71096 

71181 
71265 

71349 
71433 

7i5i7 

D. 

-^ 

94 

94 
94 
93 

94 

9^ 
93 

93 

92 
92 
92 
92 
91 

9a 
91 
91 
91 
90 

91 
90 
90 

90 
89 

89 
88 

88 
88 
88 

87 
88 

87 
87 
87 

87 
86 
87 
86 
86 

86 
86 
85 
86 
85 

85 
85 
85 
84 
85 

84 
84 
84 
84 
83 

D. 

N. 

520 

5ai 

52a 
523 
524 

525 
526 
527 
528 
529 

53o 
53 1 
532 
533 
534 

535 
536 
537 
538 
539 

540 

54i 
542 
543 
544 

545 
546 

547 
548 

549 
55o 
55 1 
552 
553 
554 

555 
556 
557 
558 
559 

56o 
56i 

56? 
563 
564 

565 
566 
567 
568 
569 

570 

571 
572 
573 
574 
575 
576 

577 
578 

579 

N. 

Log. 

71600 

71684 

71767 
7i85o 

71933 

72016 
72099 
72181 
72263 
72346 

72428 
72509 
72591 
72673 

72754 

72835 
72916 
72997 
73078 
73 159 

73239 
73320 
73400 
73480 
73560 

7364© 
73719 

73957 

74o36 
74fi5 
74194 
74273 
74351 

74429 
745o7 
74586 

74663 

747^1 

74819 
74896 

749^4 
75o5r 
75128 

752o5 

75282 

75358 
75435 
755ii 

75587 
75(364 
75740 
758 1 5 
75891 

75967 
76042 
761 18 
76193 
76268 

Log. 

D. 

84 
83 
83 
83 
83 

83 
8a 
82 
83 
8a 

81 
82 
8a 
81 
81 

81 
81 
81 
81 
80 

81 
80 
80 
80 
80 

79 
80 

79 
79 
79 

79 
79 
79 

78 
78 

78 

79 

77 
78 

78 

77 
78 

77 
77 
77 

77 
76 

77 
76 
76 

77 
76 
75 
76 
76 

75 
76 
75 
75 
75 

D. 

m 

58o 
58i 
58a 
583 
584 

585 
586 
587 
588 
589 

590 
59. 
592 
593 
594 

595 
596 
597 
598 
599 

600 
601 
602 
6o3 
6o4 

6o5 
606 
607 
608 
609 

610 
611 
612 
61 3 
6i4 

6i5 
616 

617 
618 
619 

620 
621 
622 
623 
624 

625 
626 

627 
628 
629 

6lo 
63 1 
632 
633 
634 

635 
636 
637 
638 
639 

Log. 

76343 
76418 
76492 
76567 
76641 

76716 
76700 
76864 
76938 
7701a 

77085 

77159 
7723a 
773o5 
77379 

77452 
77525 

77597 
77670 
77743 

77815 
77887 
77960 
78032 
78104 

78176 

78247 
78319 
78390 
78462 

78533 
78604 
78675 
78746 

•^88 17 

78888 
78958 
79029 
79099 
79169 

79>39 

79309 
79379 
79I49 
79518 

79588 

79657 

79727 

79796 
79865 

79934 
8000  3 
80072 
8oi4o 
80209 

80277 
8o346 

804 1 4 
80482 
8o55o 

D. 

75 
74 
75 

74 
75 

74 
74 

74 
74 

73 

74 
73 
73 
74 

73 
73 

72 
73 
73 
72 

72 
73 
72 
72 
72 

71 
72 

71 

72 
71 

71 
71 
71 

71 
71 
70 

7» 
70 
70 
70 

70 
70 
70 
69 
70 

69 

70 

69 

69 

68 

69 
68 

68 
68 
68 

D. 

N. 

64o 
64 1 
642 
643 

644 

645 
646 

647 
648 

649 
65o 
65 1 
652 
653 
654 

655 
656 
657 
658 
659 

660 
661 
662 
663 
664 

665 
666 
667 
668 
669 

670 
671 
672 
673 
674 
675 
676 

677 
678 

679 
680 
681 
682 
683 
684 

685 
686 
687 
688 
689 

690 
691 
692 
693 
694 
695 
696 

697 
698 
699 

N. 

Log. 

80618 
80686 

80754 
80821 
80889 

80956 
81023 
81090 
811 58 
81224 

81291 
81 358 
8i425 
81491 
81 558 

81624 
81690 

81757 
81823 
81889 

81954 
82020 
82086 
82i5i 
82217 

82282 

82347 
82413 

82478 
82543 

82607 
82672 

82737 
82802 
82S66 

82930 
82995 
83o59 
83123 
83 187 

8325 1 
833i5 
83378 
83442 
835o6 

83569 
83632 
83696 
83759 
83822 

83885 
83948 
8401 1 
84073 
84i36 

84198 
84261 
84323 
84386 
84448 

Log. 

D. 

68 
68 

67 
68 

67 

67 
67 
68 
66 
67 

67 
67 
66 

67 
66 

66 

67 
66 
66 
65 

66 
66 
65 
66 
65 

65 
66 
65 
65 
64 
65 
65 
65 
64 
64 

65 
64 
64 
64 
64 

64 
63 
64 

64 
63 

63 
64 
63 
63 
63 

63 
63 
62 
63 
62 

63 
62 
63 
62 
62 

D. 

N. 

700 
701 
702 
7o3 
704 

7o5 
706 

707 
708 
709 

710 
711 
71a 
7i3 
714 

7i5 

716 
717 
718 
719 

720 
721 
722 
723 
724 

725 
726 
727 
728 
729 

73o 

73 1 
732 
733 

734 

735 

736 

737 
738 
739 

740 

741 
742 
743 
744 

7-i5 
746 

747 
748 

749 

75o 

75i 
752 
753 
754 
755 
756 

757 
758 

759 

PT. 

Log. 

D. 

760 

761 

762 
763 
764 

765 
766 

767 
768 

769 

770 

771 

772 

77.3 
774 

775 
776 
777 
778 

779 
780 
781 
782 
783 
784 

785 
786 

787 
788 

789 
790 
791 
792 

793 

794 

796 

797 
798 
799 
8<x> 
801 
802 
8o3 
8o.i 

8o5 
806 
807 
808 
809 

810 
811 
812 
8i3 
8i4 

8i5 
816 

817 
818 
819 

N. 

Log. 

88081 
881 38 

88195 
88252 
883o9 

88366 
88423 
88480 
88536 
88593 

88649 
88705 
88762 
88818 
88874 
88930 
88986 
89042 
8909B 
89154 

89209 
89265 
89321 
89376 
89432 

89487 
89542 
89597 
89653 
89708 

89763 
89818 
89873 
89927 
89982 

90037 
90091 
90146 
90200 
90255 

90  309 
9o363 

90417 
90472 
90526 

9o58o 
9f>634 
90687 
90741 
90795 

90849 
90902 
90956 
91009 
9/062 

91116 
91169 
91222 
91275 
91328 

Log. 

D. 

57 
57 
57 
57 
57 

57" 
57 
56 

57 
56 

56 

57 
56 
56 
56 

56 
56 
56 
56 
55 

56 
56 
55 
56 
55 

55 
55 
56 

55 
55 

55 
55 
54 
55 
55 

54 
55 
54 
55 

54 

54 
54 
55 
54 
54 

54 
53 
54 
54 
54 

53 

54 
53 
53 
54 

53 
53 
53 
53 
53 

D. 

845 10 
84572 
84634 
84696 

84757 
84819 
84880 
84942 
85oo3 
85o65 

85 126 
85 187 
85248 
853o9 
85370 

8543 1 
85491 
85552 
856i2 
85673 

85733 
85794 
85854 
85914 
85974 

86o34 
86094 
861 53 
86213 
86273 

86332 
86392 
8645 1 
865 10 
86570 

86629 
86688 

86747 
86806 

86864 

86923 
86982 
87040 
87099 
87157 
87216 

87274 
87332 
87390 
87448 

87506 
S7564 
87622 

87679 

87737 

87795 
87852 
879x0 
87967 
88024 

Log. 

62 
62 
62 
61 
62 

6l 
62 
61 
62 
61 

61 
61 
61 
61 
61 

60 
61 
60 
61 
60 

61 
60 
60 
60 
60 

60 

60 
59 

60 

59 

59 

59 

58 

59 

59 
58 

59 
58 

59 
58 
58 
58 
58 
58 

58 
58 

57 
58 
58 

57 
58 

57 
57 
57 

D. 

Log. 

N. 

Log. 

LOGARITHMS  OF  NUMBERS 


293 


N. 


820 
821 
822 
823 
824 


825 
826 
827 
828 
829 


83o 
83 1 
832 
833 
834 


835 
836 
837 
838 
839 


Log.D. 


9i38i 
91434 
91487 
91540 
91593 

91645 
91698 
91731 
91803 
91855 


91908 
91960 
92012 
92065 
92117 

92169 
92221 
92273 
92324 
92376 

924^8 
92480 
92531 
92583 


84o 
84 1 
842 
843 
844  92634 


845 
846 
847 
848 

849 


85o 
85i 
852 
853 
854 


85^ 
856 
857 
858 
859 


860 
861 
862 
863 
864 


865 
866 
867 
868 
86^ 

87"^ 

871 

872 

873 

874 

875 
876 

877 
878 

879 


N. 


92686 
92737 

92788 
92840 
92891 


92942 
92993 

93044 
93095 
931 46 


93197 
93247 
93298 

93349 
93399 


93450 
93500 
93551 
93601 
93651 


93702 
93752 
93802 
93852 
93902 

93^ 
94002 
9fo52 
9I101 
9'fi5i 


94201 
94250 
94300 

94349 
94399 


Log.  D 


53 

53 
53 
53 

52 

53 
53 

52 

52 

53 

52 
52 

53 

52 
52 

52 

52 

5i 

52 
52 

5i 
5i 

52 

5i 

52 

5Y 
5i 

52 

5i 
5i 

5i 
5i 

5i 
5i 
5i_ 

5o 
5i 
5i 
5o 
5i 

5o 
5r 
5o 
5o 
5i_ 

5o 
5o 
5o 
5o 
5o 

5o 
5o 

49 
5o 

5o 

49 
5o 

49 
5o 

49 


N. 


880 
881 
882 
883 
884 


885 
886 
887 
888 
889 


890 
891 
892 
893 
894 


895 
896 
897 
898 
899 


900 
901 
902 
903 
904 


905 
906 
907 
908 
909 


Log. 


94448 
94498 

94547 
94596 
94645 


94694 
94743 

94792 
94841 
94890 


94939 
94988 
95o36 
95o85 
951 34 


95182 
95231 
95279 
95320 
95376 


95424 
95472 
95521 
95569 
95617 


910 
911 
912 
913 
914 


915 
916 

917 
918 


95665 
95713 
95761 
95809 
95856 

95904 
95952 
95999 
96047 
96095 


96142 
96190 
96237 
96284 


919  196332 

920  96379 

921  96426 
922 
923 
924 

925 
926 
927 
928 
929 


96473 
96520 
96567 


96614 
96661 
96708 
96755 
96802 


i) 


931 
932 
933 
934 


935 
936 

937 
938 
939 


N. 


9684H 
96895 
96942 
96988 
97035 


97081 
97128 
97174 
97220 
97267 


Log. 


D. 

^ 

49 
49 
49 
49 

49 

49 
49 
49 

^ 
49 
48 

49 
49 
48 

49 
48 

49 
48 

48 

48 
4 

4 

48 

48 

48 
48 
48 
47 

48 

48 

47 
48 
48 

^ 
48 

47 
47 
48 

47 

47 
47 
47 
47 
47 

47 
47 
47 
47 
46 

47 
47 
46 

47 
46 

47 
46 
46 

47 

46 
D. 


N. 


940 

941 
942 
943 
944 


945 
946 

947 
948 

^1 

950 

951 

952 

953 

954 


955 
956 

957 

958 
959 


960 
961 
962 
963 
964 


965 
966 
967 
968 
969 


970 

971 
972 

973 

974 

975 
976 

977 
978 

979 
980 
981 
982 
983 
984 


985 
986 
987 
988 
989 


990 
991 
992 

993 
994 


995 
996 

997 

998 

999 

N. 


Log. 

D. 

973 1 3 

46 

97359 

46 

974o5 

46 

9745 1 

46 

97497 

46 

97543 

46 

97589 

46 

97635 

46 

97681 

46 

97727 

45 

97772 

46 

97818 

46 

97864 

45 

97909 

46 

97955 

45 

98000 

46 

98046 

45 

98091 

46 

98137 

45 

98182 

45 

98227 

45 

98272 

46 

98318 

45 

98363 

45 

98408 

45 

98453 

45 

98498 

45 

98543 

45 

98588 

44 

98632 

45 

98677 

45 

9S722 

45 

98767 

44 

98811 

45 

98856 

44 

98900 

45 

98945 

44 

98989 

45 

99<^)34 

44 

99078 

45 

99123 

44 

99167 

44 

99211 

44 

99255 

45 

99300 

44 

99344 

44 

99388 

44 

99432 

44 

99476 

44 

99520 

44 

99564 

43 

99607 

44 

99651 

44 

99695 

44 

99739 

43 

99782 

44 

99826 

44 

99870 

43 

99913 

44 

99957 

43 

Log. 

D. 

Dtif.  and  Proportional  Parta. 


D. 

1 

2 

3 

94 

9 

'9 

28 

93 
92 

9 
9 

\t 

28 
28 

91 

9 

18 

27 

% 

9 
9 

18 
18 

27 
27 

88 

9 

18 

26 

87 

9 

17 

26 

86 

9 

17 

26 

85 

9 

17 

26 

84 

8 

17 

25 

83 

8 

17 

25 

82 

8 

16 

25 

81 

8 

16 

24 

80 

8 

16 

24 

79 
78 

8 

16 

24 

8 

16 

23 

77 

8 

i5 

23 

76 

8 

i5 

23 

75 

8 

i5 

23 

74 

7 

i5 

22 

73 

7 

i5 

22 

72 

7 

14 

22 

71 

7 

i4 

21 

70 

7 

;4 

ai 

69 

7 

i4 

ai 

68 

7 

i4 

20 

67 

7 

i3 

20 

66 

7 
7 

i3 

20 

65 

i3 

20 

64 

6 

i3 

'9 

63 

6 

i3 

'9 

62 

6 

12 

61 

6 

12 

18 

60 

6 

12 

18 

59 

6 

12 

18 

58 

6 

12 

»7 

57 

6 

1 1 

17 

56 

6 

11 

17 

55 

6 

11 

17 

54 

5 

11 

16 

53 

5 

11 

16 

52 

5 

10 

16 

5j 

5 

10 

i5 

5o 

5 

10 

i5 

49 

5 

10 

i5 

48 

5 

10 

i4 

47 

5 

9 

i4 

46 

5 

9 

14 

45 

5 

9 

14 

44 

4 

9 

i3 

43 

4 

9 

i3 

D. 

1 

2 

3 

38 
37 

37 
36 

36 
36 
35 
35 

34 

34 
34 
33 
33 
3^ 

3^ 

32 

3i 
3i 

3o 

33 
3o 
29 
2 


5^ 

47 

47 

46 

46 

45 
45 
44 
44 
43 

43 
42 
42 
4i 
4i 


40 


56 
56 
55 
55 

54 
53 
53 

52 
52 

57 
5o 
5o 

49 
49 

48 


4o47 

3947 
39'46 
38146 

38145 
3744 


37 
36 


44 
43 


36|43 

283542 
28  35141 


273441 

273440 
2633!4o 

2633:39 
"  32  38 


38 
37 
37 


263: 

25132 

25  3 1 
24j3i_ 

24|3o'36 
24|3o|35 
2935 
2934 
2834 

28  33 
27  32 
37  3a 
26  3i 
20  26  3 1 

20  25  3o 
20  25  29 
19)24  29 
192428 
£8,2328 

i8|23  27 
18,22  26 


23 
23 

22 

aa 
aa 
21 
21 


17  22 


4  5  6 


26 


7)8^ 
85 

84 
83 
82 


81 
80 

79 


6675 
65  74 
64  74 
6473 

6372 
6271 

62  70J . 
61  7076 
606977 

606877 
596776 
58  66,75 

576674 
5765J73 

56  6472 

556371 
55  62  70 
54  62  69 
53  6i;68 

536068 
52  59'67 
5i  5866 
5o  5865 

5o  57  64 

49  5663 
48  55  62 
48  54  61 
475460 


5? 

59 
58 

57 
56 


46  53 

46  5^ 
45  5i 
44  5o 
43  5o 
434955 

4^  48;  54 
4i  47153 
4 1  4652 
4o465i 
3945i5o 

3944,50 

38  4349 
37  42148 

3642^7 
364j^'46 

354045 
343944 
343843 
33  38  42 
32  37|4i^ 

32  36,'4T 
3i  3540 
3o  34  39 


71819 


Diff.  and  Proportional  Parts. 


1^ 


r-ii 


294                   ANTILOGARITHMS.                        1 

I.. 

NiimD. 

.o4o 

Nam 

10965 

D. 

25 

L. 

.100 

Nam 

» 12589 

D. 

29 

.160 

If  am 

14454 

d: 

34 

.220 

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16596 
16634 

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38 

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» 19055 

D. 

44 

.04 1 

1099(1 

25 

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12618 

29 

.161 

14488 

33 

.221 

38 

.281 

1909c 
19143 

44 

.042 

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26 

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12647 

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.162 

14521 

34 

.222 

16672 

39 

.282 

44 

.043 

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25 

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29 

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33 

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38 

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1 91 87 

44 

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11066 

26 

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29 

.164 

14588 

34 

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16749 

39 

.384 

19231 

44 

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1 1092 

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.165 

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.285 

19275 

45 

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12764 

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34 

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16827 

39 

.286 

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44 

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26 

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29 

.167 

14689 

34 

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16866 

3b 

.287 

19364 

45 

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11169 

25 

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12823 

3o 

.168 

14733 

34 

.228 

16904 

39 

.288 

19409 

45 

.049 

11194 

26 

.109 

12853 

29 

.169 

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34 

.229 

16943 

39 

.289 

19454 

44 

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11220 

26 

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3o 

.170 

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34 

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16982 

40 

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45 

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3o 

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34 

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17022 

39 

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35 

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19588 

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.173 

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34 

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19634 

45 

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Ii3a4 

26 

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.174 

14928 

34 

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17140 

39 

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45 

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26 

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.175 

14962 

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.297 

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17298 

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46 

.059 
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37 
26 

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.120 

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3i 
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.179 
.180 

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i5i36 

35 
35 

.239 
.240 

173  38 
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40 
40 

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19953 

46 
46 

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1000023 

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10023 23 

.061 

ii5o8 

27 

.131 

i32i3 

3o 

.181 

i5i7i 

34 

.241 

17418 

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10046  23 

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26 

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3i 

.182 

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36 

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17458 

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46 

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1006924 
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ii56i 

27 

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35 

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3i 

.184 
.185 

15276 
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35 
35 

.344 
.345 

17539 

17579 

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4i 

.3o4 
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20137 
30184 

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.006  101 39  33 

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1  i64i 

27 

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13366 

3i 

.186 

15346 

36 

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.067 

11668 

37 

.127 

13397 

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.187 

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35 

.247 

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17701 

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13459 
13490 

3i 
3i 

.189 
.190 

15453 
15488 

35 

36 

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17742 

17783 

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4i 

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20370 
20417 

47 
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.071 

11776 

27 

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13521 

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.191 

15524 

36 

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17824 

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20464 

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,072 

ii8o3 

27 

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1 3552 

3i 

.192 

i556o 

36 

.252 

17865 

4i 

.3l2 

205l2 

47 

.oi3  io3o4  24 

.073 

ii83o 

28 

.133 

13583 

3i 

.193 
.194 
.195 

15596 
i563i 

15668 

35 

.253 

17906 

4i 

.3i3 

20559 

47 

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1032823 

.074 
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11 858 
11885 

37 
37 

.i34 

.i35 

i36i4 

13646 

32 

37 

37 
36 

.a54 
.355 

17947 
17989 

42 
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.3i4 
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20606 
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io35i  24 

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11912 

28 

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32 

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i  5704 

36 

.256 

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42 

.3i6 

20701 

48 

.077 

11940 

27 

.l37 

13709 

3i 

.197 

i574o 

36 

.257 

18072 

4i 

.317 

20749 

48 

.078 

iiy()7 

28 

.138 

1 3740 

3a 

.198 

15776 

36 

.258 

i8ii3 

42 

.3i8 

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48  . 

.019  1 0447  34 
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.079 
.080 

1 1995 

i2oa3 

28 

37 

.139 
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13773 
i38o4 

32 
32 

.199 
.200 

i58i3 

15849 
1 5885 

37 
36 

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i8i55 

42 

4^ 

.319 

.320 

20845 
20893 

48 
48 

18107 

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.081 

i2o5o 

28 

.i4i 

13836 

32 

.201 

37 

.261 

18239 

43 

.331 

20941 

48 

.022  1052024 

.082 

12078 

28 

.142 

1 3868 

32 

.303 

15922 

37 

.369 

18281 

43 

.322 

30989 

49 

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.o83 

12106 

28 

.143 

13900 

32 

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15959 

37 

.263 

18323 

43 

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3io38 

48 

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.026  1061724 

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I2i34 
12162 

28 

a8 

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.145 

13932 

13964 

32 
32 

.304 
.305 

15996 

36 
37 

.264 
.265 

18365 
18408 

43 
42 

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.325 

3io86 
2 11 35 

49 
49 
48 

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.086 

12190 

28 

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13996 

32 

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16069 

37 

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43 

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21184 

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25 

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28 

.147 

14028 

32 

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16106 

38 

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18493 

43 

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21232 

49 

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25 

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12246 

28 

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33 

.3o8 

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37 

.268 

18535 

43 

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21281 

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24 

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12274 

29 

•  M9 

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32 

.309 

16181 

37 

.269 

18578 

43 

.329 

2i33o 

5o 

.o3o  1 07 1 5 

25 

.090 

i23o3 

28 

.i5o 

i4i25 

33 

.210 

16218 

37 

.270 

1 8621 

43 

.33o 

2i38o 

49 

.o3 1  10740 

25 

.091 

i233i 

28 

.i5i 

i4i58 

33 

.211 

16255 

38 

.271 

18664 

43 

.33 1 

21429 
21478 

49 

.o3a  10765 

24 

.092 

12359 

39 

.152 

14191 

32 

.212 

16293 

38 

.273 

18707 

43 

.332 

56 

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25 

.093 

12388 

It 

.i53 

14223 

33 

.ai3 

i633i 

37 

.373 

18750 

43 

.333 

21528 

49 

.03410814 

25 

.094 

ia4i7 

.154 

14256 

33 

.2i4|i6368 

38 

.274 

18793 

43 

.334 

21577 

5o 

.o35  10839 

25 

.095 

12445 

29 

.155 

14289 

33 

.215 

i64o6 

38 

.275 

18836 

44 

.335 

21627 

5o 

.o36 10864 

25 

.096 

12474 

:? 

.i56 

14322 

33 

.216 

16444 

38 

.276 

18880 

43 

.336 

21677 

5o 

.03710889 

25 

.097 

i25o3 

.157 

14355 

33 

.217 

16482 

38 

.377 

18923 

44 

.337 

21727 

5o 

.o38  1 0914 

36 

.098 

1253 1 

29 

.i58 

14388 

33 

.218 

i652o 

38 

.278 

18967 

44 

.338 

21777 

5o 

.039 

10940 

i5 
D. 

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Ii. 

i256o 
Nam 

39 
D. 

.159 
Ii. 

14431 

33 
D. 

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38 

.279 
L. 

19011 

44 
D. 

.339 
Ii. 

21827 
Nam 

5i 
D. 

I.. 

Wam 

If  am 

Ii. 

Mum 

Nam 

ANTILOGARITHMS. 


L. 


NumD. 


.340 
.34 1 
.342 
.343 
.344 


.345 
.346 

.347 
.348 

.349 


.35o 
.35i 
.352 
.353 

.354 


21878 
21928 
21979 
22029 
22080 


22l3l 
22182 
22233 
22284 

22336 


.355 
.356 
.357 
.358 
.359 


.36o 
.36 1 
.362 
.363 
.364 


22387 
22439 
22491 
22542 
22594 


22646 
22699 
22751 
22803 
22856 


22909 
22961 
23oi4 
23067 

23l2I 


.365 
.366 
.367 
.368 
.369 


.370 
.371 
.372 
.373 
.374 


23 1 74 
23227 

23281 

23335 

23388 


23442 
23496 
2355o 
236o5 
23659 

23714 
23768 
23823 
23878 
23933 


.38o  23988 
.38 1  34o44 
.382  24099 
.383  241 55 
.384124210 


5o 
5i 
5o 
5i 
5t 

5i 
5i 
5i 

52 

5i 
52' 

52 

5i 

52 
52 

53 

52 
52 

53 

53 

5^ 
53 
53 

54 

53 

53 
54 
54 
53 

54 

54 
54 
55 

54 
55 

5'4 
55 
55 
55 
55 

56 
55 
56 
55 
56 

56 
56 


.385|  24266 
.386|  24322 

.387  24378! 56 

.388  34434  57 


.389,24491 
.390' 24547 
.391  [24604 
.392!  24660 
.393,24717 

.394,24774 

.39524831 
.39624889 
.397,24946 
.39825003 
.399  35o6i 


56 

57 
56 

57 
57 
57 
58 
57 
57 
58 
58 


L. 


.400 
.401 
.402 
.4o3 
.404 


.4o5 
.406 
.407 
.408 
.409 


.410 
.411 
.412 
.4i3 
.414 

.4i5 
.416 

.417 
.418 

.419 


Nam 


25119 

25177 
25235 
25293 
25351 

25410 
25468 
25527 
25586 
25645 


.420 
.421 
.422 
.423 
■424 


.425 
.426 
.427 
.428 
.429 


263o3 
26363 
26424 
26485  61 


26546 


.430 
.43 1 
,432 
.433 
.434 


.435 
.436 

.437 
•438 
.439 


.440 
•44 1 
.442 
.443 
.444 


.445 
.446 
.447 
.448 

.449 


26607 
26669 
26730 
26792 
26853 

26915 
26977 
27040 
27102 
27164 

27227 
27290 
27353 
27416 
27479 


.450 
.45 1 
.452 
.453 
.454 


27542 
27606 
27669 
27733 
27797 
I7861 
27925 
27990 
28054 
28119 

28I84 
28249 
283 1 4 
28379 
28445 


285 10 
28576 
28642 
28708 

28774 


Nam 


61 

62 
61 
62 
61 
62 

6i 
63 
62 
62 
63 

63 
63 
63 
63 
63 

64 
63 

64 
64 
64 

64 
65 

64 
65 
65 

65 
65 
65 
66 
65 

66 
66 
66 
66 
66 


D. 


Nam 


28840 
28907 
28973 
29040 
29107 

29174 
29242 
29309 
29376 
29444 
29512 
29580 
29648 
29717 
29785 

29854 
29923 
29992 
3oo6i 
.479  3oi3o 

.480  302OO 
.481  30269 
.482  3o339 
.483  3o4o9 
.484  3o479 


.485 
.486 
.487 
.488 
.489 


.490 
.491 
.492 
.493 
.494 


.495 
.496 
•497 
.498 
•499 


3o549 
30620 
30690 
30761 
3o832 

30903 
30974 
3 1 046 
3iii7 
31189 


31261 
3 1 333 
3i4o5 

3 1 477 
3i55o 


.5oo 
.5oi 
.5o2 


31623 
31696 
31769 
.5o3j3i842 
.5o4|3i9i5 

.5o5|3i989 
.5o6j32o63 
.5o7  32i37 
.5o8  32211 
.50932285 

32359 
32434 
32509 

32584 


.5io 
.5ii 

.5l2 

.5i3 
.5i4|32659 

.51532734 
.5i6  32810 
.51732885 
.51832961 
.5i9|33o37 


L. 


Nam 


1 


m 


296 


ffiin. 


.52o!33ii3 


.521; 

.52a' 


33 180 


.52433420 


.52533497 

.526J33574 
.5a7j3365i 
.5a8!33729 
.529|333o6 

5:30' 33884 
.53 1  j  33963 
.533J34041 
.53334119 

.534:34«9« 


.535  34277 
.536  34356 
.537  34435 
.538,3^514 
.539  34594 


.54"  34674 
.541  [34754 
.542 '34834 
.54334914 

.544,34y9^ 

.545  35075 
.546  35 1 56 
.54735a37 
.548353i8 
.54935400 


.55t)  35481 
.55 1  35563 
.552:35645 

.55335727 
.55435810 


.555  35d9'> 
.556^35975 
.557I36058 


.558 
.559 


.56 1 
.562 
.563 


36i4i 

36224 

363t^ 
36392 
36475 
36559 
36644 


.565  36738 
.5661368 1 3 

.56736898 
.568' 36983 

.569J  37068 

3^4 


.570 
.571 
.572 
.573 

_^74 

.575 
.576 
.577 
.578 

.579 


L. 


3723( 
37325 
3741  r 
37497 


A  NTI  LOGARITHMS. 


37584 

37670 

37757 
37844 
37931 


Nnm 


FniiMirttiMial  Pmrta. 


li  2'i  3   I   4     5    ti 


U   1  J^i  *Jr 

8  i6:a3 
8i5'23 

7  i5'23 
7i5|23 

7  15I23 

7  15123 

8  16  23 

7 
8 


3i 
3i 
3i 

3o 
3o 


1 5  23 

i6!?4 


i6:a4 
7J15J23 
8  i5|23 
8  16  24 
8  16.24 

8  16  a3 
8  1624 

8  1624 
8  162,4 

^H— 
8  i6|24 

8!i6|24 

8|i6  24 

8  i6ja4 
8ji6|a4 

8 
8 
8 
8 


i6ja4 

i6ia4 
16  a4 

17 


8t6 


1 17 

17 

17 

17 


25 

24 

35 
25 
25 

a5 


16  a4 


8|i7 
8  17 

81 16 

8ji7 
917 
8 


8 


17  aS 


i6 


9i»7 

9! '7 

8U7 

Q  17 

8  17 


a5 

25 

a5 

25 

a  5 


17 
17 

9ji2 
817 
917 

9^7 
9I17 


18 


17 
18 
18 
18 
18 

2 


a5 
26 
26 
aS 

26 
a5 
a5 

25 

a6 

25 

a6 
a6 
26 
26 

26 
26 

a6 
26 

27 


3<) 
3i 
3t 
3i 

3-i 

32 

3 1 

3i 
3a 

3i_ 

3i 

3i 

32 

3a 
3a 

3a 

32 
32 
32 

32 


38  46 
3946 


38 
38 
38 


46 

46 
46 


46 

46 

47 
46 


38 
38 

.39 
39 

39,47 

3947 

3947 
4o47 
3947 

39  47 

39*47 
4o48 
4o48 
4o48 

40j48 
4o,48 
4o'48 
4o'48 

4o'48 

4i 
4i 
4i 
4i 
4i 


33 
3a 
33 
33 

32 

33 
33 
33 

33|4i 

33|4i 

33.42 
33|4 1 

3341 


4t 
;4i 
4i 


33 

34 

33 
33 

34 
34 

34 

34 
34 

34 
34 

34 


42 

42 


42 
4i 
42 
43 
42 


49 
49 
49 
49 
49 

49 
49 
49 
5o 
49 

5o 
5o 
5o 
5o 
5o 


43 
42 
42 
4a 
43 


34 
34 

34 
35 

35 

34 
35 

35 

35 

4 


5o 
5o 
5i 
5i 
5o 

5i 
5r 
5i 
5 1 
5i_ 

5i 

5a 


4a 
43 
43  5a 

'  52 
52 


43 
43 


43 
44 
44 
44 
44 


6 


5a 
5a 
5a 
53 

53 

_ 


54:6169 
546269 

54^6169 

53  61  69 
53161169 

54'6i  69 
546269 


546a 

54'6a 
55f63 

5563 
5462 
55'63 
55|63|7i 
55,63  71 


70 
70 

71, 

71" 
70 

70 


55 


63 


5563 

5663 
5664 
56|64 

56:64 
5664 
5664 


71 

71 
71 
7a 

72 

7a 
72 

7a 
72 


56,64172 
57165  73 

57;65  73 

57,65|73 
5765174 


5765 

5866 
5766 
58  66 


58 
57 


58 
58 
58 
58 
59 


58 
58 
59 
59 


66 
66 

66 
66 
66 

67 
67 

67 
67 
68 
68 


5967 

5968 
59;68 
Sol  68 
59I68 
60J68 

^68 


59 
60 


69 


6069 
60 


5l 
60 

61 
61 
61 

6a 


69 
69 


69 
70 
70 

70 
7C1 

B 


73- 

74 
74 

74 
74 

74 

75 
75 
75 
75 

75 

75 
75 
76 
76 

76 

76 

76 
76 

77 

77 

77 
77 
77 
78 
78 

78 

79 
79 
79 
79 
9 


Proportional  Parts. 


Ij* 


.58o 
.58 1 
.582 
.583 


Ifnnl 


38019 
38107 

36194 
38a82 


.58438371 

.585  38459 
.586  38548 

.587!  38637 
.588  38726 
.5j9!388i5 

.590  38905 


.591 
.592 
.593 
.594 


38994 
39084 
39174 
39264 


.595:39355 
.596139446 
.597  39537 
.598I39628 
.59939719 


.6003961 1 
.601  39902 
.60239994 
.6r»3  40087 

.6<,>44oi79 
.6(>5j4o27a 
.6o(v4o365 
.6o7|4o458 
.6o8  4o55i 


.609 

.610 
.611 
.61a 
.61 3 


4o644 


40738 
4o832 
40926 
41020 
.6i44ni5 

.61 5 

.616 

.617 
.618 
.619 


.6ao 
.6a  I 
.62  a 
.623 
.624 


4iaio 

4i3o5 
4i4oo 
41495 
41591 


41687 
41783 
41879 
41976 
42073 

.625[42i70 
.626  42267 


.617 
.628 
.629' 


43364 

42462 
!4256o 


.63o 
.631 
.632 
.633 
.634 


.635 
.636 
.637 
.638 
.639 


42658 
42756 
42855 
42954 
43o53 


]j* 


43 1  52 

43a5i 
43351 
4345 1 
4355  r 


H'mn 


Proportional  Parts. 


I  I  2 


i 

9 
9 
9 
9 
9 


8 

9 
9, 

10 


i 

I 

10 

-5 

91 
9; 

91 

9l 
9 

9 

10 

_? 

9 

9 

o 

o 
o 


26 
a6 

27 
27 

26 


27 

a6 
26 

27 
27 

26 

27 
27 

27 
28 

27 

27 
27 

27 

28 

27 
928 
928 

827 
9I28 

8 


8 
8 

9 

9 
28 

9128 


9 

9 

9 
ao 


9 

9 

20 

9 


9 

9 
20 

20 
19 


28 

27 
28 
28 
28 


ao 
20 
ao 

'9 
19 


20 
ao 
ao 
ao 
olao 


28 

a 
a 

a8 
a8 
29 
39 

!9 

29 
29 
29 
29 

21 
29 

^' 

29 

29 

29 

3o 
3o 
3o 
3o 
3o 


35 

35 
36 
36 
3^ 

36 
35 
35 
35 

36 


4453 
435a 
4453 
4553 
4453 

44  53 
44  53 
44  53 

44  53 
4554 


35  44  53 
36'45  54 
36'45  54 
36|45  54 
37146  55 

36|45  54 

36  45  54 
36  45  54 

36|45  55 
37 1 46  55 


36 

37 
3- 
37 

37 

37 

37 

37 
37 
38 


38 


46  55 

46  56 

47  56 
46  55 
46  56 

46  55 
46  55 

46  56 

47  56 
47,57 
47,56 
47|56 

47:57 
48l57 

47,57 

47^57 

47157 

48|57 

58 

58 


38 


38 
38 
38 
38 
38 

38 
38 
38 
39I48 


48 


48 


3948 
39 


58 

58 

4d58 

58 


3^48 
38|48  58 

3948 

3949 
39:49 
39|49 
3949 

39,49 
4o5o 

3949 

39*49 
39|49 

40  5o 
4o5o 
4o|5o 
40|5o 
4o5o 


41  5 


58 
58 
59 
59 

59 
59 
59 

59 

59 

59 
60 
60 
60 
60 
60 


61 
61 
62 
6a 
6a 

62 
62 
62 
62 
63 

62 
63 
63 
63 
64 


70 
70 
71 

71 
70 


7» 
7« 

71 

71 
72 


79 

79 
80 

80 

z? 

80 
80 
80 
80 

?! 

80 
81 
81 
81 

8a 

8a 
8a 
82 
82 
83 

73  8a 

7483 

7483 
647483 
6574|83 

65  74183 

657483 

65174184 

65 

66 


71 
72 
72 
72 

_73 

63  73 

6372 
63  73 


64 
64 


64 
65 
65 


73 

73 


66 
66 
66 

67 
66 

66 
66 
67 
67 

5z 

67 
67 
68 
68 
68 

68 
68 
69 
68 
68 


69 

69 
69 
69 


70 
70 
70 
70 

70 
7 


75'84 

75185 


75  85 

75  85 

76  85 


76 
76 


76 

76 
76 

77 
77 


77 

77 
78 

77 
77 


77 
78 
78 
78 
78 


86 
85 

85 
85 
86 
86 
86 

86 
87 
87 
87 
87 

87 
88 
88 
88 
88 

7988 

79^89 

79|89 
79^89 

79|8^ 
89 


79 
80 

80 

80 

80 

_ 


90 

90 
90 

9i 

9 


Proportional  Part*. 


1                       ANTILOGARITHMS.                   297  1 

L. 

.64o 
.64 « 
.642 
.643 
.644 

.645 

.646 

.647 
.648 

.649 
.65o 
.65 1 
.652 
.653 
.654 

.655 
.656 

.657 
.658 
.659 

.660 
.661 
.662 
.663 

.664 

Nam 

Proportional  Parts. 

L. 

.700 
.701 
.70a 
.703 
.704 

.705 
.706 

.707 
.708 
.709 

.710 
.711 
.71a 
.713 

.714 

.715 
.716 
.717 
.718 
.719 

.720 
.721 
.72a 

.723 
.724 

.725 
.726 
.727 
.728 
.729 

.730 
.731 
.732 
.733 
.734 

.735 
■736 
.737 
•738 
.739 

.740 

.741 
.742 
.743 
.744 

•745 
-746 

.747 
.748 

.749 
.750 
.751 
.752 
.753 
.754 

.755 
.756 

■757 
.758 
.759 

Nam 

50119 
5o234 
5o35o 
5o466 
5o582 

50699 
5o8i6 
50933 
5io5o 
5ii68 

51286 

5i4o4 
5i523 
5 1642 
5 1 761 

5 1 880 
52090 
52119 
52240 
5236o 

52481 
52602 
52723 
52845 
52966 

Proportional  Parts.      1 

1 

10 
10 
10 
10 
II 

10 

to 

10 
10 
10 

II 

I  I 
10 
10 
10 

10 
10 
II 
10 
10 

10 
II 
10 

10 

10 

11 
10 
10 
10 
II 

10 
11 
II 
II 
11 

II 
II 
10 
II 
11 

II 
II 
II 
II 
II 

II 
II 

I I 
II 
ir 

II 
II 
II 
12 
II 

II 
12 
II 

12 
12 

f 

2 

20 
20 
20 
20 
21 

20 
20 
20 
21 
20 

21 
21 
20 
21 
20 

20 
21 
21 
21 
21 

21 
21 
21 
21 

21 

21 
21 
21 
21 
21 

21 
22 
22 
21 
22 

22 
22 
21 

aa 
aa 

aa 
aa 
aa 
aa 

22 
23 

aa 
aa 
aa 

23 
22 

aa 

23 
23 

a3 

23 
23 
23 
23 

2 

3 

3o 
3o 
3o 
3i 
3i 

3i 
3o 
3i 
3i 
3o 

37 
3i 
3i 
3i 
3i 

3i 
3i 

32 

3i 
3i 

3i 

32 

3a 
3i 

32 

3a 
3a 

3a 

32 
32 

32 

33 
33 

32 

33 

33 
33 
3a 
33 
33 

33 
33 
33 
33 
33 

34 
33 
33 
34 
34 

34 
34 
34 
34 
34 

34 
35 

34 

35 

35 

3 

4 

4o 
4i 
4o 

4i 
4i 

4i 
4i 
4i 
4i 
4i 

42 
42 
41 
4i 
4i 

4i 
41 
42 

42 
42 

42 
42 
42 
42 
42 

43 
42 
42 
43 
43 

43 
44 
44 
43 
44 

44 
44 
43 

44 
44 

44 
45 
44 
44 
44 

45 
45 
45 
45 
45 

45 
45 
45 
46 
46 

46 
46 
46 
46 
47 

5 

5o 
5i 
5i 
5i 
5i 

5i 
5i 
5i 
5i 
5i 

5a 

52 

5i 

52 
52 

52 
52 
52 
52 
52 

52 

53 
53 
53 
53 

53 
53 
53 
53 
54 
53 
54 
55 
54 
55 

55 
55 
54 
55 
55 

55 
56 
55 
55 
56 

56 
56 
56 
56 

57 

56 
56 

57 
57 
57 

57 
57 
57 
58 
58 

6 

60 
6[ 
61 
61 
61 

61 
61 
61 
62 
61 

62 
62 
62 
62 
62 

62 
62 
63 
63 
63 

63 

64 
63 
63 
64 

64 
64 
64 
64 
64 

64 
65 
65 
65 
66 

66 
66 
65 
66 
66 

66 

67 
66 
66 
67 

67 
67 
67 
67 
68 

68 
68 
68 

69 

69 
70 

7 

70 

71 
71 
71 
72 

71 
71 
71 

72 
72 

72 

73 
72 

73 

72 

72 
73 
73 
73 
73 

74 
74 
74 
74 
74 

75 

74 
74 

75 
75 

75 
76 
76 
76 
76 

76 

77 
76 

77 
77 

77 
78 
77 
78 
78 

78 
78 
78 
78 

z? 

79 
79 

Z9 
80 

80 

8 

80 
81 
81 
81 
8-j. 

87 
81 
82 
82 
82 

83 
83 
82 
83 
83 

9 
90 

91 

91 
91 

92 

92 
92 
92 
92 
92 

93 
93 
93 
93 
93 

i 

II 
la 
la 
la 
la 

la 
la 
la 
12 

(2 

12 
12 
12 
12 
12 

12 
12 
12 
12 
12 

12 
12 
la 
la 
i3 

i3 
la 
i3 
i3 
12 

i3 
12 
12 
i3 
i3 

i3 
i3 
12 
la 
12 

i3 
12 
12 
i3 
la 

i3 
12 
i3 
i3 
i3 

i3 
i3 
i3 
i3 
14 
i3 

i4 
i3 
i3 
i3 

2  3 

23  34 
23  35 
a3  35 
a3  35 
a4  35 

23  35 

23  35 
2435 

24  36 
24  36 

24  36 
24  36 
2435 

23  35 
2435 

a4  36 
a4  36 
a4  36 
a4  36 
a4  36 

2436 

24  36 

24  36 
a4  36 
2537 

2537 

2437 
2537 
2537 
2437 

2537 
2537 
a5  37 

25  38 
25  38 

a5  38 
a5  38 
2537 
a5  37 
25  38 

25  38 
25  38 
25  38 
25  38 
25  38 

2639 
a5  38 
2639 
a6  38 
a6  39 

4 

46 
47 

46 

47 
47 

47 
47 
47 

48 

47 

47 
48 

47 
47 
47 
48 
48 
48 
48 
48 

48 
48 

49 

48 

49 
49 

t 

5o 

49 
5o 
5o 
5o 
5o 
5o 

5o 
5o 
5o 
5o 
5o 

5i 
5i 
5i 
5i 
5i 

52 

5i 
5i 
5i 
5i 

52 
52 
52 
52 

53 

53 
53 
53 

52 

53 

5  6 

5769 

5870 

5870 
5870 
5970 

58:70 

58;70 
5971 
5971 
5971 

597' 
6c)j7i 

59'7i 
59171 
59171 

7 

8 

9 

io4 
io4 
io5 
io5 
io5 

io5 
io5 
106 
106 
106 

43652 
43752 
43853 
43954 
44o55 

44 « 57 
44^59 
4436 1 
44463 
44566 

44668 

44771 
44875 
44978 
45082 

45 1 86 
45290 
45394 

45499 
456o4 

45709 
458r4 
45920 
46026 
461 32 

81 

81 
81 
8a 
82 

9? 
93 

93 
93 

94 

82 
82 
82 
83 
83 

83 
83 
83 
83 
83 

84 
83 
85 
84 
85 

84 
85 
85 
85 
86 

86 
86 
87 
87 
86 

94 
94 
94 
95 
95 

95 

9? 
95 

9? 

95 

107 
107 
107 
107 
107 

83 
83 
84 
84 
84 

84 
85 
84 
85 
85 

85 
85 
85 
85 
86 

86 

87 
87 

87 
87 

94 
94 
94 
94 

95 
96 

97 

9Z 
98 

98 

97 

98 

6072 
6071 
6173 
6072 
60J72 

6oi72 
6072 
6173 
6073 
6174 

6274 
6173 

6274 
6a  74 
6174 

6274 
6274 
6375 
63  75 
63  75 

63  75 
6376 
63  75 
63  75 

63  75 

6376 
6376 
6376 

64  77 
6376 

64  77 

64  77 
64  77 
64  77 
64  77 

6578 
6578 
6578 
6578 
6679 

66i79 
6679 
6679 

6679 
6679 

96 
95 

92 
96 

97 

97 
97 
97 
97 
98 

108 

107 
109 
108 
109 

109 
109 
109 
109 
no 

.665  46238 
-666  46345 
.667  46452 
.668  46559 
.669' 46666 

53o88 
53aii 
53333 
53456 
5358o 

9? 
98 

99 

99 

98 

III 
no 
in 
III 
III 

na 
na 
na 
ii3 
n3 

ii3 
ii3 
n3 
ii3 
n3 

114 
ii4 
ii4 
n5 
ii5 

116 

n5 
116 
116 
116 

n7 

117 
117 
n7 
118 

118 
no 
no 
118 
119 

.670 
.671 
.672 
.673 
.674 

.675 
.676 

.677 
.678 
.679 

.680 
.681 

.682 
.683 
.684 

.685 
.686 
.687 
.688 
.689 

.690 
.691 
.692 
.693 
.694 

.695 
.696 

•697 
.698 
.699 

L. 

46774 
46881 
46989 
47098 
47206 

4731 5 
47424 
47534 
47643 

47753 

47863 
47973 
48o84 
48195 
483o6 

53703 
53827 
53951 
54075 
54200 

87 
87 
87 
88 
88 

68 
88 
88 
88 
88 

99 

99 

100 

100 
100 

100 
101 
100 
100 

lOI 

87 
88 

87 
88 
88 

88 
89 

!9 

!9 
89 

98 

99 
99 

99 
100 

100 

100 

100 

54325 
54450 
54576 
54702 
54828 

54954 
55o8i 
55208 
55335 
55463 

!9 
89 

89 

89 

90 
89 
90 
90 

?e 
9' 
9' 
91 
9' 
92 

92 

92 

92 
92 

92 

lOI 

101 
loa 
loa 
10a 

io3 
10a 
io3 
io3 

kD3 

1 04 
io4 
io4 
io4 
io5 

io5 
106 

T05 

io5 

io5 

48417 
48529 

4864  T 
48753 
48865 

48978 
49091 
49204 

49317 
49431 

49545 
49659 

49774 
49888 
5ooo3 

90 

!9 
89 

90 

90 

101 

lOI 
lOI 
lOI 

loa 

55590 
55719 

55847 
55976 
56io5 

90 
90 

91 
91 
91 

101 
102 
10a 
io3 
io3 

56234 
56364 
56494 
56624 
56754 

26  39 
2639 
26139 
2639 
a7  4o 

a6  4o 
2740 
a6|39 
a6  39 
26:39 

80 
80 
80 
81 
81 

9» 
92 

91 
92 

93 

io3 
io3 
io3 
io4 
io4 

56885 
57016 
57148 
57280 
57412 

4  r> '  6  '  7  ' 

8  9   1 

Nam 

I  2  3  I  4  '  5  '  6  ' 

7  8  '  9  1 

Nnm 

Proportional  Parts. 

1 

Proportional  Parts.      1 

38 


w 


•  ' 


fill 


I 


298 


ANTILOOARITHMS. 


.760 

.761 
.76a 
.763 
.764 


.765 
.766 

.767 
.768 
.769 


Num 


57544 

57677 
5781c 
57943 
56076 


PfO]iortioiial  Parta. 


_l_  2  3 
i3 


.77® 
.771 

.773 
.773 
.774, 


56210 
56345 

564'79 
566t4 
58749 


56584 

'591)20 

391  *JO 

59293 
59429 


775  59566 


.776 

.777 
-77" 


59704 
59841 
59979 


,7796«ii7 


-780160  a  56 
-781  Go3^ 
.782}fo5: 
.78360674 
.784M«4 


.785J60954 
.78661094 


.787 
,788 


61235 
61376 


.789J61518 


.79«3  61660 
.791  61802 

.799161944 

.793|62o87 

.79462230 


.79562373 
.796625-17 
.79762661 
.79862806 

.79916295 1 


.6(X> 


.801 
.80a 


637,41 
63387 
,8a3i63533 
8o4i6368o 


.8oS6i38a6 
.8c6  63973 
.807  64 1 2 1 
.808164269 
.8r.9'644n 


.8  to  64565 
.811  64714 


.812 
.8i3 
.8f4 


.8i5 
.816 

.8r7 
.818 


64863 

65oi3 
65i63 


653 
65464 
656i5 
65766 


.819165917 


?filiil 


2640 

2640 

f3ja64o 

4i 


I 
i4 

14 


4i 

i3ja64o 
40 
4g- 

4i 


1 3 
i3 
i3 


4274 
3  27 


1 4 
1 4 
I 
I 
i4 

i4 
I 

i4 

1 

1 


a6 

3)274 

28 
4(28 
428 


i4ad 


i4 


t4 
i4 
r4 
i4 
r4 

i5 
1 5 

i5' 
i4 

i4 

r4 
i5 
i5 
1 5 
14 

i5 
1 5 
i5 
i5 
i5 


»7 
37 


27 
27 
27 


27 
27 


4i 
4i 
r 
4i 
28,41 


28 


1438 
»4  38 

l4  2« 

1428 
1428 
1.428 
1428 
1 41 28 

2S 
28 
39 
29 
29 


41 
I 

42 
42 
42 

42 
42 
4a 
42 
42 

4^ 
42 
42 
43 
42 


42 
42 
45 

43 
43 


»944 
2943 


29 
29 
29 


43 
43 


2943 

2944 

2944 

2944 

29^ 

3o  44 

3o45 

2944 
2944 
3o44 


3o 
3o 


i5 
i5 
i5 
i5 
i5 

i5 
1 5 
r5 

!5 

i6t3i 


45 

45 


3o45 


3o 
3o 

3o 
3o 
3o 


45 
45 

45 
45 
45 


3o45 

46 
_ 


5_|  & 
53J6680 

53  66  79 


53 


5367 

54  fi?' 


54 
S3 
54 
54 
54 


54' 
5^ 

54 
56 


66 


67 
67 
67 

68 


55168 


556983' 

55|68 
69 


82 

83 
55169183 


55 
55 
56 

5569 
-69 


56 
56 


5670 


56 

56 
56 


71 
5G|7i 
5771 
5671 


56|7 

57 

57 

57 

57 

58 
58 
58 
56 


56> 


56 
58 

56 

5' 
51 


59 

59 


60 
60 
60 
60 
60 

60 


61 

4 


66 
68 
66 
69I8 


70 


70 


70 


7084 


I 

71 

71 

71 
7a 

7a 
72 
73 
7a 


88 

59J7489 
59  74  89 


5974 


80 
8o- 
81 

81 

80. 
81 
8f 
8^ 

82 
8a 
8a 
82 


83 

83 
83 
84 
84 
84 


8S 
85 
8S 
85 


72 

73 

73 

73188 

73 


8S 
85 
86 
86 
86 

87 
87 

87 
87 
87 

87 
88^ 
88 


29 

29 
89 


74 

74 

75J90 
7590 

90 

90 

90 
90 


75 

75 

75 


6075J90 
60 


75 


6076 


76 


90 
97 

?! 

6 


8 

93|i<)6 
106 


93 
93 

94 

94 

94 

_?5 
95 
9S 
96 
95 
96 

90 
9S 

97 

97 

_?7 

97 

97 

98 

92 
98 

98 

99| 
99 
99 
99 


99 

99 

00 

00 
00 

o-i 

01 
01 
01 

Of 

02 
02 
02 
o3 
02 


o3 
o4 
o3 
o3 
o4 


o5 
o5 
o5 
o5 
o5 


o5 
o5 
o5 
06 
07 


106 
107 
i«)8 

(08 

107 
108 
108 
108 

109 
109 
i&^ 
109 
no 

fio 
10 
10 
II 
II 


ii> 
ri 
12 
12 
r2 

12 

i3^ 
r3 
i3 
r3 


r3 
i4 
i4 
i4 
i5 


i5 
16 
16 
16 
16 

l6 
17 
'7 

17 

f6 
18 
18 
18 

!9 
19 

20 
20 
20 
20 

20 
ao 
ai 
ai 

22 


8 


119 
119 

120 
120 

lai 

121 
121 
121 
121 
12a 

ia3 

123 

123 

123 

»24 


124 

123 

t24 

ia5 

125 
125 

i*a5 
126 

125 

126 

126 

127 

137 

ta8 

127 


127 

ia8 
ra9 
129 
129 

i3o 
i3o 
i3o 
i3o 
i3o 

i3i 
i3i 
i3i 
1 3a 
1 3a 

733 
1 33 

1 33 
i33 

1 34 

i34 
r35 
r35 
»35 
^5 

i36 

1 35 
i36 

r36 

i37 

9 


Pmportional  I^rti. 


L. 

.820 
.821 
.822 


66069 

66222 

66374 

8a3|665a7 


.824 


67143 
672 


.82566834 

.82666988 

.827 

.828 

.829J67453 

l3o 
.83i 
.832 
.833 
.834 


67608 

67764 
6792 
68077 
68234 

83516839 


.836 
.837 
.838 


.839  69024 

.84'! 
.842 
.843 
.S44 


84569984 


.846 

.847 
.848 
.849 


.85o 
.85i 
.852 
.853 
.854 


.855 
.856 
.857 
.856 
^59 

.860 
.861 
.862 
.863 
^64 

.865 
.866 
.867 
.866 
.869 


.87T 

.872 
.873 
.874 


.875 
.876 


.878 
.879 


Lf 


Nnni 


66681 


68549 
68707 
68865 


69183 
69343 
69502 
69663 
69823 


70146 
7o3b7 
70469 
7o632 


70795 
70958 
7rr2i 
71285 
7i45o 


71614 

71770 
71945 
72  m 

72_277 

72444 
7261 1 
72778 
72946 
73ri4 


73282 
73451 
7362r 
73790 
73961 


.870  74  •  3 1 
743o2 
74473 
74645 
74817 


74989 
75162 


877  75336 


75509 
75683 


Piopoftional  Porta. 


6 
6 
16 
6 
6 


1-6 


6 

6 

6 

1-6 


Nmn 


U2^  a    4  ft    6 

3i 

5j3o 
3i 


6 
6  3i 
53o 


3i 

3i 

3i 

5^3i 

3i 

3i 
3i 

32 

I 
3i 


63 


632 


6  3i 


3i 


33 
32 


63 


2 

32 
32 

32 

3q 

32 
32 


33 
6)33 

7 
7 


33 


34 


34 

34 
34 
34 
34 
34 

34 
34 
35 
34 
34 


46 
45 
46 
46^ 
46- 

47 
47 
46- 
46 
^ 

47 

47 
47 

47 
47 

47 
47 
47 
48 
46 

48 

47 
46 

46- 
46 


4 

4 
33149 

33)49' 

32 

32 

32 

33 
33 
33 

33 
33 
33 


49 
48 
49 
49 
5o 
49 

5^ 
5o 
5a 


33  5o 


5o 


5o 
5o 
5o 


3J5o 


5o 
5r 

5!. 

5 1. 
5i 
5^ 

5* 
5i 

52 

5i 

35  52 
35  52 

34  52 
35,5? 

35  53 


63i79 


6480 
65^81 
65  81 
65  81 


6&83 


07 
06 
07 
08 
07 
08 
09 
08 
i«o8 
09 


09 

09 

o 

o 

o 


6 
6 
6 
6 

7 
6 

7 
7 
7 
8 

9 

t 

9 

_? 
20 
20 
20 
20 
21 

21 
22 
21 

22 
22 


22 

22 
23 
23 
23 


24 
24 
24 
24 
24 

25 
25 

26 

25 

26 


26 
26 

27 

27 
27 


28 

27 

029 

28 
^? 
29 

?9 
3^ 

3o 

3o 

3o 
3i 
3i 
3a 
3ii 

32 

33 

33 
33 
33 


33 
33 
34 
34 
35 

36 
36 
35 
36 
36 


37^ 
37 
38 
38 
38 


9 

137 

1 37 

1 38 
*38 
i38 

139 
139 
139 
139 

i4o 


i4i 
i4i 
i4i 
i4i 

!ii 
142 
142 

§42 

143 
|43 

i44 
143 
145 
i44 
i45 

i45 
145 
i46 
1 46 
i46 


i46 

147 
1 48 
i48 
i48 


149 
149 
149 
149 
i5o 


i5o 
i5o 
i5j 
i5i 

l52 
I  52 

1 53 

l52 

i53' 
i53 

i54 

1 54 
155 
i55 

__i^55 

39156 

-  i56 

1 56 


39 
38 
39 
4o 


8 


■57 

1 57' 


Proportional  Parts. 


ANTILOGARITHMS. 


299 


L. 


.88u 
.881 
.882 
.883 
.884 


Nmm 


75858 
76033 
76208 
76384 
76560 


.885 
.886 
.887 


76736 
76913 

77090 


,88877268 
.889' 77446 


.89077625 
.891177804 
.89277983 
.89378163 
.89478343 

.895  78524 


Proportional  Parts. 


12  3  4  5 


.896 
.897 
.898 
.899 


78705 
7888b 
79068 
79250 

,9(x>!79433 


.901 
.902 
.903 


79616 

79799 
79983 


.904  80168 

.905  8o353 
.90680538 
.907180724 
.90880910 
.90981096 


.91081283 
.9ii|8i47o 
.912I81658 
.91381846 
.91482035 


.915  82324 
.91682414 
.91782604 
.91882794 
.919829B5 


.92083176 
.931  83368 
.922  8356o 
-923  83753 
.924  83946 


.925  84i4o 
.926  84333 
.93784538 
.93884723 
.93984918 


.930851 14 
.931  853 10 
.93285507 
.933  85704 
.9348590 


.935  86099 
.936  86298 

.93786497 
-938  86696 


:9i9 
L. 


86896 


Nam 


35 
35 

35 

35 
35 

35 

35 

36 
36 
36 


35 
35 

36 
36 
36  54 


8 
8 
8 
8 
8 

8 

6 
8 
8 
8 

8  36 

836 
836 
836 

8137 

8|36 
8137 
9|37 

9;37 

837 

8' 37 
8  37 
8  37 

8  37 

937 
938 

938 
9'38 
9|3^ 

9l38 
9'38 

9  38 
938 

38 


52 
52 

53 

52 

5^ 

53 
53 

54 
53 

5J 

53 

53 

54 
54 


30 

9 

30 


39 

39 

39 

9;  39 
939 


38 
20J39 

939 

9 
30 


9 
20 

9 

20 

20 

20 
20 
20 
20 
20 


39 


39 
39 

39 
4o 

4o 
4o 
4o 
4o 
40 


54 
54 
55 

54 
55 

55 
55 
56 
56 
55 

55 

55 
55 
55 

56 


56 

57 
57 
57 
57 

5^ 
57 
57 
57 
57 
58 
58 
58 
58 
58 


58 

59 
58 

58 

^ 
59 
59 
59 

59 
60 

60 

59 
60 

60 

60 


12  3  4  5 


70 
70 

70 
70 
70 


7f 

7* 
71 

71 
71 

7' 

7» 
72 

72 

11 
72 
72 
73 
73 
73 

73 
73 
74 
74 
74 

74 
74 
74 
74 

75 
76 
75 
76 
76 


76 
76 
76 

77 
77 

77 
77 

77 
77 
77 


77 
78 
78 
78 

z? 
78 

79 

78 

79 
80 

80 

79 

79 
80 

80 


87 

87 
88 

88 

^8 

"89 
89 
89 
89 
89 

'89 
89 

90 

90 

.9^ 
90 
90 

9' 
9^ 

11 
91 
92 

95 
93 

?1 

91 
93 

95 
93 

94 


94 
94 
94 

9r 
95 


96 


96 

96 
97 


9^ 
98 

97 

97 
98 


92 
98 

98 

99 
99 


100 

99 

99 
100 

100 


6 

■^' 

o5 
o5 
o5 
06 


06 
06 
07 
07 
07 

07 
07 
08 
08 
08 

(^ 
08 
09 
09 
o 


7 
8 
8 
8 

9 

9 

9 

9 
ao 

20 


7 

8 

9 

122 

i4o 

1 57 

122 

i4o 

157 

123 

i4o 

i58 

123 

i4o 

i58 

123 

i4i 

i58 

124 

142 

159 

124 

'42 

160 

125 

142 

i6o 

125 

143 

160 

£25 

143 

161 

125 

i43 

161" 

ia5 

1 43 

161 

126  i44 

162 

126  i44 

162 

126 

144 

162 

126 

144 

162 

127 

145 

i63 

127 

145 

164 

127 

1 46 

164 

128 

r46 

i65 

128 

140 

i65 

128 

U7 

i65 

129 

1 48 

166 

129 

i48 

166 

129 

1 48 

166 

129  148 

166 

i3o 

1 48 

167 

i3o 

i48 

167 

i3o 

149 

167 

i3i 

i5o 

168 

i3i 

i5o 

169 

l32 

i5i 

169 

l32 

i5i 

170 

i33 

r5i 

170 

l32 

i5i 

170 

i33 

l52 

171 

i33 

l52 

171 

i33 

l52 

171 

1 34 

1 53 

172 

1 34 

i53 

172 

i35 

1 54 

173 

i35 

1 54 

173 

i35 

i54 

174 

i35 

1 54 

174 

i35 

i55 

174 

i35 

i55 

174 

l37 

1 56 

175 

1 36 

i56 

175 

1 36 

1 56 

175 

i37 

1 57 

176 

1 37 

1 57 

176 

1 38 

1 57 

177 

1 38 

1 57 

177 

i38 

1 58 

178 

1 39 

159 

179 

139 

159 

179 

139 

159 

179 

139 

159 

179 

i4o 

160 

180 

i4o 

160 

180 

___ 

8 

9 

Proportional  Parts. 


Im. 


If  am 


94087096 
941 187297 
942  87498 
.94387700 
944  87902 


95089125 
951I89331 
95  2 '89536 

.953189743 
954  89950 


945  88 1  o5 
946'883ij8 
947 1885 1 2 
948:88716 
949  88920 


955|90i57 
95690365 
957190573 
958  j  9078  2 
95919099 1 


960 
961 

962 


91201 
9i4ii 
91622 


96391833 
96493045 


965192257 
966,9247a 
967,93683 
96892897 
969  931 1 1 


970 

971 
972 

973 


93325 
93541 
93756 
93972 


97494189 


975194406 
976  94634 


977 


94842 


978  95060 
9799528( 


980 
981 
983 


95499 
95719 
95940 


983  96161 

984  96383 


985 
986 

987 
988 
989 


990 
991 
993 

993 
994 


995 
996 

997 
998 

999 


L. 


96605 
96838 
9705 1 
97375 
97499 


97724 

9794? 

98175 

98401 
98628 

^855 
99083 
99312 

99541 
99770 


Nam 


Proportional  Parts. 


1  ,  ij    3      4      5 


406 


20  4O 

20  4o 
at|4i 
20 
2o'4i 

2ol4« 
2o4i 
20  4o 
20  4o 

2lJ4l 

~47 
4i 
42 
4i 
4i 

42 
42 
42 
42 
42 


2 

20 

2 

2 

20 

2 
2 
2 
2 
2 

2 

2 
2 

2 
2 


42 
42 
42 
43 
42 


43 
42 
43 
42 

_43 

2243 
2143 
2243 

2244 

22i43 

22I44 
2243 
2244 
2244 

22|44 

2244 

22 

22 


44 

44 

22'45 

22  44 
2245 

2244 

2245 

22 
22 


61 
60 
6l 
( 
61 

67 

61 
61 
61 

62 


62 
61 
62 
62 
62 


62 
62 

63 
63 
63 

63 
63 
63 
64 
64 


64 
64 
64 
64 
64 


65 
64 
65 
65 
65 


65 
65 
65 
66 

65 


66 

67 
66 

67 
67 


67 
67 
67 
67 
67 


45 
45 

22|45 

23:45 

22I45 
23  45 
23,45 

2346  69 
23'4669 
224568 
22I4568 
23|46  69 
T'  2'  3 


67 
68 
68 
68 
68 


8f 
8i 
81 
Si 

?i 
81 
81 
81 
8f 
82 

8a 
82 

83 
83 
83 


83 
83 
84 
84 
84 


84 
85 

84 

85 
85 

85 
85 
85 
85 
86 


86 
86 
87 
87 
87 


87 
87 
87 
88 

87 


88 
89 
88 

29 
89 

89 

29 
89 

89 

90 


90 
90 
90 

91 
?1 
91 
9» 
91 

9' 
92 

4 


01 
01 
01 
01 

02 


oi 
02 
02 
02 
o3 

o3 
02 
o4 
o3 
o3 


04 
o4 
o5 
o5 
o5 


o5 

06 
06 
06 
06 

06 
06 

07 

07 
07 


08 

07 
08 
09 
08 

09 
09 
09 
10 
09 

o 


21 
21 
21 

ai 

22 


22 
22 
aa 
22 

23 

23 
23 

24 
24 
24 


25 
25 
25 

26 
26 


26 

27 

27 
27 
27 


28 
28 
28 
28 
29 


29 

It 

3o 
3o 


3i 
3i 
3i 

32 

3i 


32 

33 
33 
33 
33 

34 
34 
34 
34 
35 


35 
35 
36 
36 
36 


37 
37 
37 
37 
38 


4i 
41 
42 
4a 

42 


42 
42 
42 
43 
44 


44 
44 
45 
45 
45 


46 
46 
46 
46 

47 


47 
48 
48 
48 
48 

49 
49 
49 

t 


5i 
5o 
5i 

52 

52 

52 
52 

53 

54 
53 


54 
55 
55 
55 
55 


56 
56 

57 
57 
57 


57 
58 
58 
59 
59 


60 
60 
60 
60 
61 


161 
61 
62 
[62 
^ 

62 
i63 

[63 
t63 
164 

i64 
[64 
[66 
1 65 
[66 

166 

[67 
167 
t67 
[68 

l68 
.69 
L69 

[70 
[70 

70 
70 

7* 
[71 

21 
73 
72 

173 
74 

2i 

'74 
74 
'75 
76 

"76 

77 

'77 
'78 
78 

78 

78 

79 

'79 
180 


80 
[81 
81 
82 
[82 

83 
83 
83 
83 
84 


[81 
[81 
[82 
[82 
i83 

[83 
i83 
[83 
[84 
[^ 

185 
[85 
[86 

186 
[86 

187 
87 
88 
88 

[89 
90 
90 

91 

L?l 
[92 
[92 
[92 
[92 
[93 

'94 

94 

.95 

95 

^ 
96 
96 

[97 
[98 

'97 

98 

99 

99 
200 

300 

200 
201 
201 
202 
202 

202 
203 

2o3 
204 
2o5 

2o5 
306 
206 
206 
207 


Proportional  Parts. 


lika. 


« 


s    » 


h 


I 


r 


nun 


LOGAIITHMIC     SINES,     TANGENTS,     &C. 


If 


3o(> 
36o 

4ao 
48o 

54o 


tkx> 
660 
720 
780 
840 

900 
960 

1030 

1080 

ii4o 

iac)o 
1260 
1 320 
i38o 
i44o 


o 
I 

3 
4 
5 

6: 
7 

8 
9 


0° 


179 


sin. 


q-n 


tati. 


4.6.S.J 


57 
57 


inf.  neg 
6.46373 

6.76476J57 
6.94085  57 
7.0657957 

"5^ 


li 

12 

i4 

i5 
16 

n 
18 
19 


i5o<> 

i56() 
1620 
1680 

:I74o 


1800 
i860 
1920 

1980 

9o4o 


2IOt) 
3160 
2220 
9380 

a34o 


24tK) 

s46o 
9S20 
258o 
2640 


20 
21 
22 

23 

24 

25 

26 

27 

38 
29 

3o 
3 1 

32 

33 
34 


7.16270 
7-24188 
7.30882 
7.36682 
7.4  r  797 


57 
57 
57 

;57 

7.46173,57 
7.5a5i2  57 
7.54291  p7 
7.57767157 
7.60985  57 

7.63982,5' 

7..66784J57 
7,694175-' 
7.71900157 
i'^;57 


7-74^ 


57  inf.  nog 
6.46373 

6.76476 
6.94085 
7.06579 


7.16270 
7.2418B 
7.30882 
7.36682 

7-4 1 79^ 


7.76475J57 
7.7859  V  57 
7.8061 5157158 

7.82545157 
7.84393157 


37 
57 

57 

58 

5d 
58 
58 
58 
58 

58 
58 
58 
58 

58 

53  -jSif^i 
58;  7.66785 
7-69418 
7.7 1 91  >o 
7.74248 


cot. 


q+n 

15.314 


inf.  pos.  43 
(3.53627 
i3. 23524 
13.0591 5 
12.93421 


7-46  J /i 

7-5o5i2 
7.54291 

7-57767 
7.60986 


58 
5H 

5j 

Hd 
'j8 


27(X> 

2760 
2820 

2880 

2940 


3nf)o 
3o6o 
3 1 20 
3i8o 
3240 


■?3oo 
336o 
3420 
3480 
3540 
36oo 


35 
36 

37 
38 
39 

4o 
4f 
42 
43 
44 


45 
46 

47 

48 

49 


5o 
5i 

52 

53 
54 


55 
56 

57 
58 
59 
60 


7.86i6<ii5: 
7.8787057 
7.8950957 
7.91088,57 

7.92612  57 

7.94ort4|'>7 
7.95508157 

7.96887I57 
7.98223157 
7,97520  57 

8.00779J57 

8.02002  57 
8.03192  57 

8.o415o57 
8.0547857 

8.o657«  57 
8.0765o|56 
8.08696156 
8.09718  56 

8.io-Ti^  56 


7.76476 
7.78595 
7.80615 
7.8^546 
7-84394 


58 
58 

581"^  .8676^ 
58|  7.87871 
'>8  7.89510 
7.9 1  oS 
7.9261 


43 

4^ 
43 
4i 

42 
42 
42 
42 


2.8373o 
12.75812 
12.69118 
I2.633i8 
i2.582o3;4' 

12.53627 
1 3.49488 
12.45709 
12.42233 
12.39014 


cowc. 


43  inT  pas. 
43  13.53627 
43  13.23524 
43  13.0591 5 
43  12.93421 


»«c. 


10.0 


i2.36t)ib 
1 3.332 1 5 
i2.3o582 
13.28100 
12.25752 


12.23524 

f2.2l4o5 

12.19385 

12.17454 

2.i56o6 


58 
5,9 

59 
59 

59 

59 


8..1169356 
8.12647  56 
8.i358i|56 
8.14495  56 
8.i53gt 


56 
3^6268  56 


8. 171 28 
8. 1 797 1 
8.1879S 
8- 1 96  to 


8.20407 
8.21 189 
8.21958 

8.227!3 

8.23456155 
8.241 86'55 


56 
56 
56 
56 

56 


56 
55 
55 


««-«. 


59 

59 


7.94086 
7.95510 
7.96889 
7.98225 
59  7.99523 


8.00781 

8.02004 

8.o3i94 

59J  8.04353 

59  8.o5j8i 

5q  8.0658! 
6f>  8.07653 

60  8.08700 
60!  8.09722 

61  >|  8. 1 0720 

60 


42 
42 
42 
42 

4! 
42 
43 

42 

.■i2 

4' 


4". 
4. 
42 
42 
42 


4> 


12  i3833 
12.1212942 
12.10490 
12.08911 

12.07387 


12.05914 
12.0449^: 

I2.03l  II 

12.01775 
12.00478 


60 
60 
60 
60 

67 

6f 
61 
61 
6_r 

67 
61 
61 

62 

62 
62 


S.iirtgfi 
8.1 965 1 
8.13535 
8.i45oo 
8.i53q5 

8  i6;-3 
8.I7I33 
8.1-TQ76 
8.18804 
8.19616 

8.2o4f3 
8.21195 
8.21964 
8.22720 
8.23462 
8.24192 


1 1 .992 1 9 
1 1 .9799^") 
1 1 .96806 
1 1 .9564? 
11.94519 

11.93419 
11.92347 
ii.9i3<)() 
fi.90278{4o 
1 1 .89280  4o 


43  i2.8373o 
43  12.75812 
43  12.691 18 
43i2.633i8 
43  i2.582o3 


WKK> 

0000 
0000 
0000 
0000 


COS. 


9.9 


0O(X) 

0000 

OfXX) 
(XKX) 
OtXK) 


43  12.53627 

43  12.40488 
43  12.45709 
43  12.42233 
43  12.39015 


ooot> 
cxxx> 
0000 
0000 
0000 


43  1 2.3601 8 
43i2.332i6 
43|i2.3o583 

43  12.28100 
43  12.25-752 


ten 
ten 
ten 
ten 
ten 


ten 
ten 
ten 
ten 
ten 


0000 
0000 

0(X)1 

0001 
owA 


ten 
ten 
ten 
ten 
ten 


0001 

0001 


43J I  3.23525 

43  12.21406 
43  i2.i9385!o<x>i 
43  12.174550001 
43  1 3. 1 5607 


42 
42 
4i 


4i 
4i 
4i 
4i 
4i 
4] 
4i 
41 
4i 

4! 
4i 

4>'» 
4< 


43  12.13834 

43  l3.l?l3o 

43|i2.To49f 

~  12.08912 

12.07388 


43 
43 

43 
43 
43 
43 
43 

43 
43 
43 
43 
43 


4.6'^*> 


q-D 


cot. 


'i.883o4  4o 
1 1 .87349  4o 
1 1.8641 5  4o 
ii.855(>o4o 
ii.846o5i4o 

ii.83727  39 
11.82867  39 
ii.82024|39 
11.8119639 
II  .80384  39 

1 1.79587 1 39 
11.78805,39 
1 .78036  39 
38 


43 
44 


44 


0002 


12.05916 

12.0449' 
i2.o3i  i3 
12.017- 
12.00480 


0002 
CKX12 


1 1. 9922 1 
1 1 .97998 
1 1 .96808 
1 1 .95650 
1 1.9452 


11.93422 
11. 92350 
1 1.91304 
44111.90282 
44  11.89283 

fiTasJo^ 
11.87353 


ten 
ten 

9999 
9999 

99)9 

9999 

9999 
9999 
9999 
ofK>iJ9999 
0001I9999 
ocx>il9999 
{X)Ol  9999 
9998 


0001 


9998 
9998 
0002  j  9998 
0002  9998 

0002  9998 

9998 
9998 

0003  9997 
>oo3  9997 


(XX>2 

0002I 
( 


000  3 


ooo3 


9997 


9997 


4i 
44 
44 
44 


ocK)3,9997 
of)o3  9997 
000  3  9997 
000^9996 

0004  9996 
,00049996 


n.86fi9ooo4|9996 
1 1 .855o5  0004  9996 
44^  1 1  8  4609  000.4 19996 

44  11.83732 


1 1 .77280 
11.76538  38 
1 1.75808  33 


tan. 


44 
4i 
44 
44 

44 
44 
45 
45 
45 
45 


15.3M 


»©<» 


q  +  n 


11.82872 


o<K)5  9995 
ooo5  9995 


1.83029J00059995 
1 1.81202  ooo5  9995 
1 1.80  390:0005  j  9995 


11.79593 
11.7881 1 
11.78042 

11.77287 

11.76544 
1 1.75814 


sec 


0006,9994 
0006 1 9994 
00069994 
0006  9994 
0006  9994 


0007 


10.0 


eonec 


9993 


9.9 


itn. 


890 


178° 


sin.  I  d.  i"  cosec 


24186 


11. 


758 1 4,60 
7509759 
74391:58 
7369^)157 
73oi2  56 


24903  "-95 
2  5fk)9l"-22 
263o4   , 
269S8'*^*''** 

72339  55 

.r.R«  71676  54 
38977!  ^-^3  71023.53 

-^^Z!55io.4op?745  5, 
"^  "      '6912150 

10. !3^  o   l/Z 
^  .06789740 

If.  67298  47 

9-^^166708  46 

9.72! L _ 

rQ'66i25  45 

9-j*'|6555o;44 

9-^|6498243 

9-^^6442242 
9-2  2  63pj3^i4^ 

366^  ^"'q633^2!4o 
37217!  r2o  62783  39 
37750  °-^^6225o'38 
38276  °-27j6, 72437 
38796   gYj6i2o4j36 

39310 
39818 
4o32o 
40816 
4»3o7 

41792 
42272 
42746 
43216 
4368o 


30879 
31495 
32io3 
32702 
33292 

33875 
3445o 
35oi8 
35578 
36t3i 


44139 
44594 
450.44 
45489 
45930 

46366 

46799 
47296 
4765o 
48069I 

484851 
48896; 
493o4| 
49708 
5oio8i 

50897 
51287 
5i6i3 
52o55 

52.434 
52810 
53r83 
53552 
53919 
54282 


(,  .   6o69o!35 

2i76o,82|34 
°"^7!«;o/^Q^.^^ 


8.27 


59680133 


S,Z59i84,32 
«-«58693  3, 

8.00 

7.90 


7.83 


58208 

57728 

57254 

^.,2|56784 

^;^5'^^^ 


20 


_.|5586i 

7-58|554o6 

54956 

545 1 1 

54070 

53634  20 

53201  19 

18 


7-5o 

7-42 

7.35 

7.27 

7.22 
7°7|5235o 


3o 
29 

28 
27 
36 


25 
24 
23 
22 
21 


6.85 


|5i5i5 


r  o  :5tio4 
^•8«  50696 

22    |50992 


6.5o 


eon. 
9Jo- 


49103 
.  .J48713 
^fi48327 
6:32  4Z?_45 
r,      47566 

c      r '468  I  7 

A  1:^46448 
^■^5  457 18 


d.  1" 


11. 


sec. 


88° 


T7 
16 

75 

i4 
i3 

13 
11 

10 

9 
8 

7 

5 
4 
3 
2 
I 


o 
I 

2 

3 

J 

5 

6 

7 
8 

_? 
10 
II 
12 
i3 
i4 
i5 
16 

'7 
18 

i? 
20 
21 
22 

23 

24 

25 

26 
27 
28 
29 

3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

4o 
4i 
42 
43 
44 

45 
46 

47 
48 

49 
5o 
5i 

52 

53 

54 

55 
56 

57 
58 

60 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


301 


1° 


178°      2° 


tan. 


24192 
24910 

256 16 
263 1 2 
26996 

27669 
28332 
28986 
29629 
3026  3 

3o8«8 
3i5o5 

32112 

32711 
333o2 


33586 
34461 
35029 
35590 
36 1 43 

366^9 
37229 

37762 
33289 
33809 

39323 
39S32 

4o334 
4o83o 
4i32i 


41807 
42287 
42762 
43232 
43696 

44^56 
44611 
45o6i 

45507 
45948 

46385 
46817 
47345 
47669 
48089 


485o5 
48917 
49325 
49729 
5oi3o 


5o527 
50920 
5i3io 
51696 
52079 

52459 
52835 
53208 
53578 


543o8 

~%7~ 


cot 


d.  1" 


1.97 

1.77 
1.60 
1.40 
1.22 

i.o5 
0.90 
0.72 
0.57 
0.42 

0.28 
0.12 

9-9? 
9-85 

9.73 

9-58 

9-47 
9.35 
9.22 
9  10 

9.00 

8.88 
8.78 
8.67 
8.57 

8.48 
8.37 
8.27 
8.18 
8.10 

8.00 
7.99 

7.83 

7.73 
7.67 

7.58 
7.5o 
7.43 
7.35 
7.28 

7.20 
7.i3 
7.07 
7.00 
6.93 

6.87 
6.80 
6.73 
6.68 
6.62 

6.55 
6.5o 
6.43 
6.38 
6.33 

6.27 
6.33 
6.17 
6.12 
6.o5 


cot. 


LL. 

75808 

75o9( 

74384 

73688 

73oo4 

7233i 
71 668 
71014 
70371 

69737 
69 1 1 2 
68495 
6788b 
67289 
66698 

66774 
65539 

64971 
64410 
63857 


sec. 


10.0 


O1KJ7 
0007 
0007 
0007 
0008 


0008 
0008 
o<x)8 
0008 
0009 


K)09 

x)09 


633 11 

162771 
162238 
!6i7ii 
161191 

60677 
60168 
59666 
59170 
58679 


d.  1" 


58193 
57713 
57938 
56768 
563o4 

55844 
55389 

549^9 
54493 
54o52 


536 1 5 
53i83 
52755 
5233 1 
51911 


51495 
5io83 

50675 
50271 
49870 


49I73 
49080 
48690 
483o4 
479^' 

4754T 
47 1 65 

46792 
46422 
46o55 
45692 


11. 


tan. 


00 
00 

00 


00 
00 
00 
00 
00 


00 
00 
00 
00 
00 


00 
00 
00 
00 
00 


00 
iX) 

00 
00 
00 


00 
00 
00 
00 
00 


00 
00 
00 
00 


COB. 


9.9 


9993 
9993 
9993 
9993 
9992 


9992 
9992 
9992 
9992 
9991 


1770 


999' 

999' 
9990 

9990 

9990 


999^2 
9989 
1  9989 
1  9989 

19??9 
29988 
29988 
2I9988 
39987 
39987 
3I9987 
49986 
49986 
9986 
9985 


9985 
59985 
69984 
619984 
69984 

9983 
9983 

9983 


9982 
9982 


0021 
0021 
0021 
0022 


9982 

.,9981 
99981 

9,9981 
00209980 

0020  9980 

9979 

9979 

9979 
9978 

0022  9978 
oo2  3|9977 

0023  9977 
002  3  9977 
002419976 

0024.9976 
0025,9975 

0025  9975 

0026  9974 
0026 
0026 


lO.O 


;o3ec 


9974 
9974 


9.9 


Rin. 


sin. 


8. 


54282 

54642 
54999 
553-54 
55705 


56o54 
564oo 
56743 
57084 
57421 

57757 
58089 
584 1 9 

58747 
59072 

59395 
59715 
6oo33 
60349 
60662 

60973 
61282 
61589 
61894 
62196 


d.  1" 


62497 
62795 
63091 
63385 
63678 


63968 
64256 
64543 
6.4827 
65i  10 


65391 
65670 

65947 
66223 

66497 
66769 
67039 
67308 
67575 
67841 


68104 
68367 
68627 
68886 
69144 


69400 

69654 
69907 
70159 
70409 


7o658 
70905 
7ii5i 
71395 
71638 
71880 


a 


91° 


88°  I 


COS. 


6.00 

5.95 

5.92 
5.85 
5.82 

5.77 
5.72 
5.68 
5.62 
5.60 

5.53 
5.5o 

5.47 
5.42 
5.38 

5.33 
5.3o 
5.27 
5.22 
5.18 

5.i5 
5.12 
5.08 
5.o3 
5.02 

4.97 

4-93 
4.90 

4.88 

4.83 

4.80 

4.78 
4.73 
4.72 
4.68 

4.65 
4.62 
4.60 

4-57 
4.53 

4-5o 
4.48 
4.45 
4.43 
4.38 

4.38 
4.33 
4.32 
4.3o 
4.27 

4.23 
4.22 
4.20 

4.17 
4.i5 

4.13 

4.10 
4.07 
4.o5 
4.o3 


co.sec. 


11. 


45718 

45358 
45<x)i 
44646 
44395 


tan. 


S. 


543o8 
54669 
55027 
55382 
55734 

56o83 
56429 


43946 
436oo 

43257j56773 

4291657114 
4257957452 

42243  57788 
41911  58i2i 
4i58i  58451 
41253.58779 
40928  59105 


40605.59428 
40285  59749 
39967  60068 
39651  6o384 
39338  60698 

39027 
38718 
384 1 1 
38 1 06 
37804J62234 

375o3j62535 
3720562834 
3690963131 
366i5  63426 
36322 


6 1 009 
6i3i9 
61626 
61931 


d.  i" 


36o32 
35744 
35457 
35173 
34890 

3.4609 
34330 
34o53 

33777 
335o3 


3323 1 
32961 
32692 
32425 


31896 
3i633 
3i373 
3iii4 
3o856 


3o6oo 
3o346 
30093 
2984 1 
29591 


d.  1" 


29342 
29095 
28849 
28605 
28362 
28120 


11. 


see. 


63718 


64009 
64298 

64585 
64870 
65i54 


65435 
657 1 5 
65993 
66269 
66543 


66816 
67087 
67356 
67624 


32 1 59  67890 

68754 
68417 
68678 
68938 
69196 


69453 
69708 
69962 
70214 
7o465 


70714 
70962 
71208 
71453 
71697 
71940 


6.02 
5.97 
5.92 
5.87 
5.82 

5.77 
5.73 
5.68 
5.63 
5.60 

5.55 
5.5o 

5.47 
5.43 
5.38 

5.35 
5.32 
5.27 
5.23 
5.18 

5.17 
5.12 
5.08 
5.o5 
5.02 

4.98 
4.95 
4.92 

4-87 
4-85 

4.82 
4.78 
4.75 
4.73 
4.68 

4.67 
4.63 
4.60 
4.57 
4.55 

4-52 
4.48 

4.47 
4.43 
4.40 

4.38 
4.35 
4.33 
4.3o 
4.28 

4.25 
4.23 
4.20 
4.18 
4.i5 

4.i3 
4.10 
4.08 
4.07 
4.o5 


45692 
45331 

44973 
446 1 8 
44266 


cot. 


11. 


0026 
0027 
0027 

CX)28 

0028 


43917 

43571 

43227 

42886 

42548 

42212 
41879 
4 1 549 
41221 
40S95 


0029 
0029 
oo3o 
oo3o 
o;>3i 


40572 
4o25i 
39932 
39616 
39302 


38991 
3;s68i 
3«374 
38069 
37766 


37465 
37166 
36.S69 

36574 
36282 

35991 
35702 
354i5 
35i3o 
34846 


sec. 


10.  U 


9974 
9973 
9973 

9972 
9972 


>o3 1 
;^o32 
;)o32 
(M)33 


cos. 


9.9 


9971 

997' 
9970 

9970 

9969 


9969 
9968 
9968 
1 9967 


tio33|9967 


oo33  9967 


)o34 
oo34 
.x)35 
00  36 


)o36 
oo37 
oo37 
oo38 
oo38 


9966 
9966 
9965 
9964 


9964 
9963 
9963 
9962 
9962 


34565 
34285 
34007 
3373  i 
33457 

31784 
32913 
32644 
32376 
32 1 10 


3 1846 
3 1 583 

3l322 

31062 
3o8o4 


3o547 
30292 

3oo38 
29786 
29535 


cot. 


29286 
29038 
28792 

28547 
283o3 
28060 


00399961 
003919961 
0040,99601 
00401996(1 


CK)4l 


004 1 

0042 
0043 
0044 


99D9 


9959 

9958 
9958 
9957 
9956 

0044  9956 
0045I9955 
0045J9955 
004619954 
0046:9954 


0047  9953 
00489952 

0048  9952 

0049  9951 
0049,9951 

0050  9950 

9949 
9949 
9948 
9948 


oo5i 
oo5i 
oo52 
oo52 

oo53!9947 
005419946 
oo54J9946 
oo55i9945 
oo56'9944 


60 
59 

58 

57 
56 

55 

54 
53 

52 

5^ 
49 

48 

47 
46 

45 
44 
43 
42 

4l 
4o 
39 

38 

37 
36 

35 
34 
33 

32 

iL 
3^ 
29 
28 
27 
26 

75 
24 

23 

22 

31 

20 

'9 

18 

'7 
16 

[5 

r4 
i3 

[2 
I 


9 
8 


00  56:  9944 

0057,9943 
0058,9942 
00589942 
0059994 


92° 


-.•kt"^. ., 


I' 


ll 


ll'l 


I 


wst 


LOGARITHMIC    SINES,    TANGENTS,    6cC. 


II 

ta 
i3 
i4 


•17 


i5  53S3 
6|5575 

5795 
li]6oi5 
190134 

645i 
6667 
6883 
7097 
73 10 

7522 

7733 
7943 
8i5i 
a9|836o 


ait 
•21 

•J  7 

23 
■24 


2D 
36 

38 


3o 
3 1 

32 

33 

34 

35 
36 


37 

38 


4i 


43 


45 
46 

47 
48 
49 


5i 

52 

53 
54 


55 
56 

57 

58 

60 


30 


IW 


■in. 

1880 

ai5»o 
2359 

2597 
2834 

3069 
33o5 

3535 
3767 

3997 

4*i'j6 

4454 
4680 
4906 
5i3o 


li  1  *  ■  co«ec 
11^ 


4-0O 
3.98 

3-97 
3.95 
3-92 

3.90 
3.87 

3.87 
3*83 
3.82 

3.80 
3.77 

3.77 
3.73 

3.70 
3.67 
3.67 
3.65 
3.62 


8120 
7880 
7641 

74o3 
7166 

6931 

t)607 

6465 
6233 
6cM>3 

5774 
5546 
5320 
5094 
4870 

4647 
44a5 


8568 

8774 

8979 
9183 
9386 

9588 
9789 
9990 
189 
39|o388 

4o  o585 


0782 


43I0978 
'"  1 173 


1 367 


i56o 
1752 
1944 
if  34 
2324 


25i3 
2701 

2888 
3075 
3261 


3446 
363o 
38 1 3 
3996 

4177 
4358 


33  B 

3t 

2903 


2478 

2267 

2o57 
1 848 
i64o 


3.60 

3.6( 

3.57 
3.55 

3.52 

3.5o 
3.48 

3.47 
3.47 

3.43 
3.42 
3  4" 
3.38 

3.37 

3.35 
3.35 
3. 32 
3.35 
3.28 

3.28 
3:25!^" 


42o5|5867 

6087 
63o6 

3549I65 


3766 


1432 
1226 
1021 

0817 
06 1 4 


o4i5 

OJI  I 

♦010 
9811 
9619 


941 5 
9218 


d.m 


3.23 

3.22 

3.20 

3.20 
3.17 
3.17 
3.i5 

3.i3 
3.12 
3.12 
3.10 
3.08 

3.07 
3.o5 
3.35 
3.02 

3.02 


8827 

8633 


844o 
8248 


7866 
7676 


71 12 
6925 
6739 

6554 
6370 
6187 
6004 


ll.l* 


tan. 


940 
2181 

2420 
2659 
2896 

3 1 3  J 
3366 
36oo 

3832 
4o63 

429  i 
iSii 
4748 
4974 
5199 

54^3 
5645 


d.  1' 


4-02 

3.98 
3.98 
3.95 
3.93 

3.90 
3.00 
3.87 
3.85 
3.82 


cut. 

8060 
7819 
7S80 

7341 

7104 

6868 
6634 
64oo 
6168 
5937 


571^ 
5479 

5253 

5<>26 
4801 


4577 
4355 
4i33 
3913 
3694 


25 

6742 
6958 
7173 

73S7 

/iXKj 

7811 

8022 
8231 

844 1 


3473 
3258 
3o42 
2827 
2613 


8649 
8855 
9061 
9266 
9470 


9673 

9875 
♦076 
0277 
0476 


0674 
0872 
1068 
1264 
r459 


1 653 
1846 


8o56  2o38 


323o 

2420 


7487  2610 
7299  2799 


2987 

3i75 
336 


3547 
3732 

3916 
4ioo 
5833  4383 
5643  4464 


8.8* 


24tK) 
21 

1978 
1768 


i5f- 


i35i 
1145 


3.82 

3.78 
3.77 
3.75 

3.73 

3.70 

3.70 

3.6 

3.65 

3.65 

3.62 

3.60 
3.58 

-3.  J  / 

3.55 

3.5a 
3.52 

3.5o 
3.48 
3.47 

3.43 
3.43 
3.42 
3.40 
3.38 

3.37 
3.35 
3  35 
3.32 
3.3o 

3.3o 
3.37 
3.27 
3.25 
3.23 

3.22 

3.20 

3.30 

3.17 

3«7  ., 

7390 

,;,7aoi 

^•'^70!3 

3'*3|68a5 
3.10 


0077 

890078 

0079 

oo8t» 


9  0080 


0734 
o53<> 


o327 

♦  125 

99?4 
9723 
9524 


9326 

893 
8736 
854 1 


8347 
8i54 
7962 


758o 


3.10 

3.08 

3.07 
3.07 
3.o3 
3.o3 


6639 


oof .    4.1"  tee.     eot    d.  1 "  tmn.  comc   ■in.  i  em 


6453 
6268 
6084 
5900 
5718 
5536  o 


n.i* 


nee. 


10.U 


0060 

o*)6o 

0061 

K>62 

)o62 

(Xj63 
<X)64 
0064 
oo65 
0066 


(X)66 
0067 
(X)68 
0068 
0069 


1*070 
0071 
0071 

JX)72 

0073 


0074 
f>074 
0075 
0076 
0077 


0081 
0082 


09390083 


008  3 
0084 


oo85 
0086 
0087 
0087 
0088 

0089 
0090 
0091 
x)9i 
0092 


0093 
0094 
0095 


77700096 


0096 


0097 
0098 
0099 
0100 

OIOI 


0102 
0102 
oio3 
oio4 
oio5 
106 


CM. 


9.9 


9940 
9940 
9930 
9938 
9938 

9937 
9936 
9936 
9935 
9934 

9934 
9933 
9932 
9932 
9931 


9930 
9929 
9920 
9928 
9927 

99^ 
9926 
9925 
9924 
9923 


9923 
9922 
9921 
9920 

99^0 
9919 
9918 

99'7 
9917 
9916 


9915 
9914 

99'3 
9913 
9912 


99" 
9910 

9909 

9909 

9908 


9907 
9906 
9905 
9904 
9904 


9903 
9902 
9901 
9900 

9899 


10.0 


9898 
9898 
9897 
9896 
9895 
9894 
9.9 


40 


1750 


■in.    d.  r '  ooiec   tan. 


as* 

4358 
4539 

4718 
4897 
5075 


5a52 
5420 
56o5 
5780 
5955 

6128 
63oi 

6474 
6645 
6816 


6987 
71.56 
7325 

7494 
7601 


7829 

IZ 

8326 
8490 

8654 
8817 
8980 
9142 
93o4 

9464 
9625 

9784 
9943 
♦  102 


0260 
o4i7 

o574 
0730 
o885 


io4o 
1195 
1349 

l5o2 

i655 


1807 
1959 
aiio 
2261 
a4ii 


256i 
2710 
2859 
3oo7 
3i54 
33oi 
3448 
3594 
3740 
3885 
4o3o 


8.9* 


02 
98 

98 
97 
95 

95 
93 

92 
9: 

88 

88 
88 
85 
85 
85 

82 
82 
82 

78 
80 

77 
77 
75 
73 
73 

72 
72 
70 
70 
67 

68 
65 
65 
65 
63 

62 
62 
fx 
58 
58 

58 

57 
55 
55 
53 

53 

52 

52 

5o 
5o 

48 
48 

47 

45 
45 

45 
43 
43 
42 
42 


11. I* 


5642 
5461 
5282 
5io3 
4925 


4748 
4571 
4395 
4220 
4n45 

3872 
3699 
3526 
3355 
3 1 84 
3o73 

2844 
2675 
25<i6 
2339 


as* 


4464 
4646 
4826 
5oo6 
5i85 


5363 
554o 

5717 
5893 
6069 

6^ 

6417 
6591 
6763 
6935 


2171 
2oo5 


18398287 
1674"  "" 

i5io 


1 346 
ii83 

I090 

o858 
0696 


o536 
03:5 
0216 
♦o57 
9898 


9740 
9583 


94260715 


9270 
9!i5 


896*^ 
88<)5 
865 1 
8498 
8345 


8193 
8o4i 
7890 


7439 

7290 

7«4i 
6993 
6846 

6699 
6557 
6406 
6260 
6ii5 
5970 


11.0* 


7106 

7277 

7447 
7616 
7785 


7953 
8120 


8453 
8618 


8783 
8948 
911 1 
9274 
9437 


9598 
9760 
9920 
♦080 
0240 


0399 
o557 


0872 
039 


u85 
1 340 
1495 
i65o 
i8o3 


957 

3IIO 
3362 


77392414 

7589  2565 


2716 

2866 
3oi6 
3i65 
33i3 


346? 
3609 
3756 
3903 

4o49 
4195 


d.  I" 


8.9* 


cot. 


11. P 


5536joio6 
0107 
0108 
0109 
0109 


5354 
5i74 
4994 
48i5 


4637 
4460 
4283 
4107 
3931 


3757 
3583 
34<^ 
3237 
3o65 


o3 
00 
00 

98 
97 

95 

93 
90 

90 
90 

87 
87 
85 

85 
83 
82 
82 
80 

78 
78 

77 
75 
75 

75 
72 

7^ 
72 

68 
70 

67 
67 
67 

6^9601 

63  9443 
''^  9285 
9128 


2894 
2723 
2553 
2384 

22l5 


2047 
1880 

!7i3 

1 547 
i382 


1217 

io52 

0889 

0726 
o563 


o4o2 
0240 
♦080 
9920 
9760 


62 
62 
60 

58 
58 
58 
55 
57 
55 
53 
53 

52 
53 

5o 
5o 


8971 


85o5 
835o 
8197 


8043 

789c 
7738 
7586 
7435 


7284 
7'34 

4»6835 

48^^ 
^  '6538 


45 
45 


6391 
6244 


^^6097 
j^,595i 
43  58o5 


ll.O* 


aec.  cos, 


lO.O 


Olio 
Oil! 
01 12 
oii3 
0114 

oi  i5 
01 16 
0117 
0118 
01 19 


0120 
0121 

01  21 
0122 
0123 


0124 
01 25 
0126 
0127 

0128 

0129 


9.9 


9894 
9893 
9892 
9891 
9891 

9890 
9889 
9888 
9887 
98865 


9885 

9884 
9883 
9882 
9881 


9880 
9879 
987 
9878 

9877 


9876 
9875 
,9874 
9873 
98J72 

9871 


OI30J9870 
9869 
9868 
986J 

oi34|98r)6 
01359865 


oi3i 

Ol32 

01 33 


oi36 
oi37 
01 38 


0139 
oi4o 
oi4i 
0142 
0143 


88i5oi44 
86600145 
01 46 

oi47 
01 48 


9864 
9863 
9863 


9861 
9860 
9859 
9858 
9857 


0149 
01 5o 

Oi52 

01 53 
oi54 

01 55 

oi56 
oi57 
01 58 
0159 


9856 
9855 

9854 
9853 
9852 


985 1 
9850 
9848 

9847 
9846 

9845 
9844 
9843 
9842 
9841 


9840 
9839 


0160 

0161 

016219838 

0163I9837 

oi64;9836 

01669834 


10.0 


9.9 


03° 


800  1 940 


d.1"   Bee.     cot.    d-1"    tan.  coaec    lin. 

85° 


60 

r*9 

58 

57 

561 

55 
54 
53 

53 


5o 

il 

Ai 
46 

45 

AA 

9|43 

43 

4^ 

4<^ 

39 

38 

37 
36 

35 
34 
33 

32 

3i 

3o 
39 

38 
27 
26 

2! 

24 

23 

22 

2! 


20 

I 

I 

•7 
|6 

75 
i4 
i3 
12 
If 


to 

9 
8 

7 
6 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


903 


o 
I 

3 

3 

_4 

5 
6 

7 
8 

_? 
10 
II 
12 
i3 
f4 

i5 
16 

17 
18 

!9 

20 
21 
22 

23 

24 

25 

26 

27 
28 

?9 

3o 
3i 

32 

33 
3J 

35 
36 

37 
38 
39 

4o 

4i 
42 
43 

44 

45 
46 

47 

48 
49 
5o 
5i 

52 

53 
54 

55 
56 

57 
58 


5<5 


174° 


sin. 


8.9* 


4o3o 

4174 
4317 
4461 
46o3 


4746 
4887 
5029 
5170 
53io 

545o 
5589 
5728 
5867 
6oo5 

6T43 
6280 

64x7 
6553 
6689 


d.  1 "  cosec  tun. 


6825 
6960 
7095 
7229 
7363 


7496 
7629 
7762 
7894 
8026 

8757 
8288 
8419 
8549 
8679 

8808 

8937 
9066 

9194 
9322 

945o 

9577 
9704 
9830 
9_956 

♦082 
0207 
()332 
0.1 56 
o58i 

0704 
0828 
095  r 

1074 
1196 


i3i8 
i44o 
i56i 
1682 
i8o3 
1923 

9^0*" 

COS. 

050 


3.40 
3.38 
2.40 
2.37 
2.38 

3.35 
3.37 
2.35 
3.33 
3.33 

3.32 
2.32 
2.32 
2.3o 

2.3o 

2.28 
2.28 

2.27 
2.27 
2.27 

2.25 
2.25 
3.23 
2.23 
2.23 

3.22 
2.22 
2.20 
2.20 
2.18 

3.18 
2.18 
2.17 
2.17 
2.l5 

2.l5 
2.l5 
2.l3 
2.l3 
2.l3 


ll.O* 


5970 
5b26 
5683 
5539 
5397 

5254 
5ii3 

4971 

483o 
4690 


455o 

44ii 
4272 
4i33 
3995 

3857 
3720 
3583 

3447 
33ii 


S.9* 


4195 
4340 

4485 
463o 

4773 

4917 
5o6o 
5202 

5344 
5486 


5627 
5767 
5908 
6'j.(7 


611^82 
632^ 

6464 
6602 
6739 

6877 


2.12 
2.12 

2.10 
2.10 
3.10 

2.08 
2.08 
2.07 
2.08 
2.o5 


3175 

3o4o 
2905 
2771 
2637 


25o4 
2371 

2238 

2106 

1974 
1843 

1712 
i58i 
i45i 

1 32 1 


d.  i" 


701 3 

7i5o 
7285 
7421 
7556 


7691 
7825 
7959 
8092 
8225 


8358 
8490 
8622 
8753 
8884 

9015 
9145 
9275 

94o5 
953ji 

9662 

979' 
9919 


1 192 

io63 
0934 
0806 
0678 

o55o 
0423 
0296 

0170U046 
♦o44  p  1 74 

99t8Jo3oi 
9793,0437 
96680553 
95440679 
94190805 

J9296  0930 
2"7gi72|io55 
'•"5i9o49'n79 

^•°3  8804  1427 

8682  i55o 
85601673 
8439' 1 796 


2.o3 
2.o3 

3. 03 
3.02 
2.02 
2.00 


d.!" 


83i8 

8197 
8077 


10.9- 


sec. 


1918 
2o4o 
2162 


9.0* 


cot. 


2.42 
2.42 
2.42 
2.38 

2.40 

2.38 
3.37 
2.37 

2.37 
2.35 

2.33 
2-35 

2.32 

2.33 
2.3o 

2.32 

2.3o 

2.28 

2.3o 

2.27 

2.28 

2.25 

2.27 

2.2.5 
2.25 

2.23 

2.23 
2.22 
2.22 
3.22 

2.20 
2.20 
2.18 
2.18 
2.18 

2.17 
2.17 
2.17 
2.l5 
2.l3 

2.1  5 
2.l3 


cot. 


58o5 
566o 
55i5 
5370 
5227 

5^83 

4940 

47 
4656 

45i4 

4373 
4233 
4092 
3953 
38i3 

36^ 
3536 
3398 
3261 
3ii23 

^ 
285o 

2715 

2579 

2444 


sec. 

loir 

0166 
0167 
0168 
0169 


cos. 

"99" 

9834 
9833 
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2175 
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2.07 
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9806 
9804 
9803 

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9801 

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9796 

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9793 
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9783 
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7124 
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2.00 
2.00 
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1.98 
1.97 

1.98 
1.97 
1.95 
1.97 
1.95 

1.95 
1.93 
1.93 
1.93 
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LOGARITHMIC     SINES,     TANGENTS,     &C. 


305 


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1099:8901 
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63361  "•9"' 
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3664 
cot    d.r"  tan. 


11138887 
m  6^8884 
(1 198881 
1 22  887B 
11258875 
ri28;887a 


35 
34 
33 

32 

3o 

2 

2 

27 
26 

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24 

23 

2  2 
21 

20 
19 
18 

'7 
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75 
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12 
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9 
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7 
61 


9.9 


eoncr!!  sin. 


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LOGARTIHMIC     SINES,     T  A  N  (J  E  N  T  S  ,     &C. 


307 


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1 

2 

3 

4 

5 

6 

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8 

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10 
1 1 
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15 
16 

17 
18 

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20 

21 
2  2 
23 

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5209 
5263 
53 1 8 

5373 
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548 1 
5536 
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5644 
5698 

5752 

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508 

6022 
6075 
6129 
6182 
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26 
27 
28 
29 

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32 

33 

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36 

37 

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45 
46 

47 
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6395 

64I9 
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6555 
6608 
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6924 
6976 

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cosec 


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7080 

7137 

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7476 
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7812 
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7934 
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0.92 
0.92 
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1909 

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8620 
8670 
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8921 

8971 

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0.83 
0.83 
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1223  8777 


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1263 
1266 
1269 
1372 

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8768 
8765 
8762 
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9615 
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9860 
9909 
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8753 
8750 
8746 
8743 
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8737 
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7245 
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LOGARITHMIC     SINES,    TIM  GENTS,     &C. 


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4284 


9!  3072 

20l3025 
21  29-'9 

aa  ^919 

.  22(9886 

)  2  3i  2840 

24  2793 

25  2747 

26  370I 

-346[26|a654 
7392  27 


458i  7a53 
299^ 


808 
1811 
i8i5 
1819 
1823 


7438  28 


4242 


3'>t)~ 
3iia 
'}  .  ■  ■ 
V. 


'K>a9 
10-S 


iy.  iSa6  i<i73j  3 
•r   '--''.  1676   3 


■^  f«334 
33 1 


'\''\\ 


I     lO 


8324 


3->(>!i'v 


56 
5^ 
58 
5q 
61  > 


18i'3j42!678-J55M!i 
3857  43  "» 1 43, 5 5 59  ir.iiiii 

390j!43  "o-)9  " "  " 
3,9.^' f..f;A.v=;; 

9.1 


9*1(1 

d.  Me, 


3  8320 
^  83i7 
3  83 1 3 
3  83o9 
3  83o6 

83o2 
8299 
8295 

"09  3  8291 

r^i2,  3,8a88 
575f)i  i9iaSo  1716!  4  8284 


cot,  (  il.  i  t  i;t.  Irujcc  d.     nin 


28 
2914199 

5843  3o  4 1 57 
5885j3i  4ii5 
59-J7|3i  4f>73 

5969  321403 1 
fxH  I  33  3989 

6o53|33:3947 
609534  3905 
6.36  35  3864 

6178136  38 aa 
6220,3613780 

6262373738 
63o3  38,3697 


2378 

2332 

2v86 
2240 
2194 


C345t  381 3655  8263 


f>386|39'36i4 
6428140  3572 


W.9 


105° 


740 


64694 
65i  I 

6552 

6594 


353i 
3489 


8 1 26  39 

8171 

8217 


a  148 
2io3 
2o57 
201 1 
1965 


1826 
1 83o 
i834 
1 838 
i84i 
1845 
1849  » 
1 853 
i856 
i860 

1864 
1868 
1871 
1875 
1879 


iiSo 

ii85 

8181 

8177 


8174 
8170 
8ifi6 
8162 
8159 


3o 


1920 
1874 

4o[i829 
4i|i783 
42  1738 

43' 1693 
4^11647 


1 883 
1887 
1890 
1894 
1898 


83o7 

8353 

8398  44  r  602 

8443 


1000 


ceil. 


8117 

811 3 
81 10 
8106 
8102 


8098 
8094 
8f)9<) 
8087 

8o83| 

8079 
807.5 
8071 


1 557 
3448848946  1 5u  ,  _ 
3406  8534  46  1466  1940  4  8060 


10.0 


cc»*ec 


9. 'J 


«ii. 


T3° 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


Ifo 


163°      18° 


rl. 


63 


tan. 

8534 

8579 

86a4 
8669 
8714 

8759 
88i)4 
8849 
8894 
'^8939 

2991  8984 


cosec 

Ills] 
3406 

3365 
33a4 
3  a  83 
3a4a 

32(J<1 

3i59 
3ii8 

53077 


cnt.  sec. 


2955 
2914 

2873 
a83a 


2791 
2751 
2710 
2670 
2629 

258"^ 
2548 


9029 
9073 
91 18| 
9163 


1 466 

l42[ 

1376 
i33i 
1286 


ID.O 


9207 


i3 

t4 

i5|25o8 
1 513467 
7573,1 16  2427 


19 


it 


7613  17 
765  i 
7694 

7744 
7774 

7814 
7854 
7894 
7934 
7974 
8014 

So54 
809  f 
81 33 
8173 

82T3 
8252 
8299 
8332 

8371 

84T7 
845o 

8490 
85a9 
8563 

860^ 

8647 
8686 
8725 
8764 

887^3 
884a 
8881 


2  387 
2346 
23o6 
2266 


925 
9296 
9341 
9385 

943o 

9474 
9519 
9563 
9607 

965  a. 
9696 
9740 

9784 
9S28 


0793 
0748 
0704 
0659 
o6i5 


19  22a6 

20:218619872 
21  21469916 
2 1  2 1 06  9960 
22 1 2066  ♦cxi4 
23120260048 


0570 
0526 
o48i 

0437 
0393 


1940 
1944 
1948 
1952 
1956 

i960 
1964 
1968 
1971 
[975 

1983 
1987 
1991 
1995 

'99? 
2oo3 


161° 


Bin 


9.4* 


8998 
9037 
9076 
9115 
9153 


cosec  tan.  d.  cot. 


10.5* 


9192 
9231 
9269 
9308 
9347 


2  3  19S6 

1946 

1906 
1867 

i8a7 


o348 
'o3o4 
260260 
0216 

017a 


2018 
2022 
2026 
2o3o 
2o34 


0128 

0084 

24j*o4o 

249996 

5^995; 


2o38 
2042 
2o46 
2o5o 
2o54 


1787 
1748 

28  1708 

29  1668 
2911629 


:x)92 
oi36 
o  1 80 
0223 

oa67 

o3ji 
o355 
0398 
0442 
048  5 


269908 

2619864 
2719820 

9777 
9733 


2o58 
2062 
2066 
2070 
2074 


29I9689 
30:9645 
3r|96r,a 
329558 

32I9515 

3o:  1 589!o5a.9  33  9471 
3i  i55oo57a.;34  9428 
3i!i5io  0616,359384 


1471 
1432 


)o 


!9ao 


33  1393 
34i353 
35i3i4 
35  1275 


o65o35  934i 
0704369297 

0746,37,9^ 
0789379211 
0833389167 
0876,3919.34 


2078 
2082 
2086 
2090 
2094 

2098 
2ro2 
2106 
2110 

2Il4 


7982 
[7978 
7974 
7970 
7966 

7962 

7958 
7954 
7950 

79 'f  6 


9385 
9424 
9462 
9500 
9539 


6 


764  36.  i236o9i9'4o'9o8i 

37,11970962409038 
37,  II 58  100541:8995 
38  1119  1048428952 
391080  1092' '(3  8908 
"•  "'  1135  43  8865 


7942 
7938 
7934 
7930 
7926 

7922 

7918 

7914 
7910 

7906 

79tv2 
789S 
7894 
7890 
7886 


9577 
9615 
9654 
9692 
973o 

9^ 
9806  1 3 
9844  1 4 
9882I14 
9920 

9958 
9996 

♦o34 
0072 

Olio 


1002 
0963 
0924 

o885 
0847 

0808 

0769 

4[073i 

5  0692 

0653 

06 1 5 

0576 

o538 

8  o5oo 

90461 

910423 

o385 
o346 
o3o8 
0270 

l3!o232 

0194 
01 56 
0118 

1 5jOo8o 

160042 
i6J*oo4 
179966 
189928 
1819890 


10.4 


o  8822 

I  8779 
I  8736 
28694 

3 1 865 1 


2179 
2i83 
2188 
2192 
2196 

220«) 

2ao4 
2208 


318608 
4l8565 
5j8522 

6  848o|22i2 
_6J8£3j|22i6 

7  8394 
8835a 
8!  8309 

8266 
8224 

8787 
8r39 
8097 
8o54 
8012 


01 48  199853 
01 85  209815 
0223  20J9777 
0261 
0298 


14 

2073  1 5 
2ir5|i5 

2 1 57  1617843 
2200  17  7800 


d.  COS. 
9J~ 
7821 
7817 

o  I7812 
o 17808 

o  7804 

o  J78<iO 

o  7796 

0  779a 

1  7788 

I  7784 


7779I  5o 


7759 
7754 
775o 
7746 
7742 


22421 1 7  7758 


2284 


7716 
7674 
7632 
7590 

7548 
75(^1 
7464 


7738 

7734 
17729 
7725 
7721 


2  7717 
2  7713 
2  (7708 
2  1 7704 
2  7700 


2il9739  2578|23i7422 
2119702  2620:2417380 

o336|22i9664  2661 '24  7339 
o374  23j96a6  2703 


895939  io4i 
1 00a 

d. 


"^998,40 
4 


!■<»?. 


\A 


2175  4 
2179 

loTT 


d. 


7882 
7878 

7874 
7870 
7866 

786? 
7857 
7853 
7849 

7845 

7841 
7837 
7833 
7829 
7825 
7821 

9.9 


o4ti 

0449 
o486 

o5a3 
o56i 
0598 


23  9589  2745 


249551 
259514 

25  9477 
26,9439 

2619402 


o635i27{9365 
0673  2819337 

28J9290 


2787 
2829 

287028 
2912^29 
2953  29 
2995  j3o 

3o37|3i 

30781 3 1 


2517297 
267255 


7696 
7691 
7687 
7683 
7679 


0896131 '9io4j3285|35 
0933  32I9067  3327136 
339030  3368  36 
3409' 37 
345o38 


2347 
235i 
2  355 
a36o 
2364 


0710  28J9290  3o78j3i  6923 
0747  299253  3i  20  32  688f 
0784  3o|92i6  3161133  6839 
0821  30,91793202(346798 
!i34  3  7^  o858|3d9i42J3244,34  6756  2385 

6^ 

6673 

0970  43  9030  3368  36  6632 

1007  33,8993  3409' 37  6591 

1043  34,8957  345o!38  655o 


358930 


2368 

2372 
2377 
238i 
2385 

3390 
2394 
2398 

2.>o3 

2407 


65o8 

6467 


f»m 


72  3 


COS. 


3492138 
35  8883[3533;39 
36,8846-3574  4o|6436 
37i88o9!36!5!4r6385 
378773  3656  41  6344 


1 7674 
7670 
7666 
7662 
7657 

7653 
7649 
7645 
7640 
7636 


20 


38 


8736 


10.4* 


sec 


3697 


cot. 


42 


63o3 

T0.4 


taa. 


241 1  4  7589 

2416)  4  17584 

2420 

2424 

2429 

2433 

lao" 


10 


7567 


cosec 


«in. 


108^ 


71° 


310 


LOGARITHMIC     SINES,     T  A  N  G  E  If  T  S  ,     &C. 


i\ ' 


I 

3 

i 

6 

7 
8 

9 


II 
1 4 


13 

i6 
1.7 
18 

11 

20 

31 

22 
23 

24 


1»= 


I«0«> 


■in.  I  «i.  ccn»t<i    tan.    ci.    cot.    sec.    i.  1  o<m. 


9.5 


l3oi 


I  -374 
i4t  I 

1 447 
1 484 

I   nJP.miC.lul' 

15*17 

1 593 

166:) 

17.38 

1774 


25 

26 

27 

28 

29 
3o 
3[ 

32 

33 

34 

35 
36 
37 
38 
39 


81 1 

1847 
1 883 
191^ 
1930 


199' 

2027 

2o63 
209^ 

jA  I  *Jr'.«y 


2171 
2207 
2242 
2278 

23 1 4 


235o 
2385 

24'2I 

2456 
2492 


4o 

4i 
42 
43 

4£ 

45 
46 

47 
48 

49 
5o 
5i 

52 

53 
54 


25i7 

■159S 
2634 


10.4_ 
o873t) 
1  [8699 

1  j8()62 

2  t>t>26 

2)8  589 

18S5"J 
485i6 
4848<> 
5  840 
5'84f>7 

"6  83-^ ~i 

7  8334 

7  8298 

8  8262 
88226 

98189 
io'8i55 
10,8117 
118081 
1 1 18045 


9Jj_ 
3697 

3738 
3779 
38  20 
386 1 

39*12 
3943 


10.4^ 
63t)3 


6221 
6180 

3  6139 
1 
4 


■f(»2  5 

4o65 

4 1  (X) 
:ii47 
4187 
4228 
4269 

4309 


6i>9b 
6o5- 
5 '601 6 

5  597 

6  5935 

7  j  5894 

8  58 1 3  2485 


9P772 

9  5:- 3 1 

1 « >j  569 1 
435o,  I  r  565o 
4390  II  56 10 

12  5569 

1 3  5529 


12  800 

12.797 

13.7937 

147901 

147865 

157829 
1 5  7793 

167758 
17  7722 
1 7  7686 


KJ 


I876S 

18  761 5 

197579 
20  7544 
20  75i»H 


UI.O 

2433 
2437 

244a 
2446 
245o 

2455 
2459 
2464 
2468 
2472 

2477 
2481 


443 1 

4471 

457^1 1 31 5488 

4552  14  5448 

459315I5407 

4633  i5j 5367 

4673  »6|5327 

47i4|i7 
4754!  17 
4794ii8 


5286 
S346 

520<> 

4835!  1 9' 5i  65 

4875{i9|5i25 

49«5  2o5o»5 


21  7473 

21  743? 

22  7402 

23  7356 


2669I23  73 3 1 


27u5i24  7295 


2740 
2775 
3811 
2846 


55 
56 

57 
58 
59 
60 


j4  7260 
257225 
26  ji  89 
267>5i 


27  71 19 

27  7084 

28  7049 


5o45 
5oo5 


4925 


4955J21 
4995  21 

5o35  22 
5o75  5i3 

5775.23,4885 
5i55  24  4845 
5f95  25'48 

5235,2514765 
5375' 26^4725 

27  j  4685 
4645 


349< 
2494 

2499 
2  5o3 
25o8 

25l2 

25i6 

2521 
2525 

253o 
2534 
2539 

2543 

2547 

2552 

2556 
>56i 

2565 

2570 
2574 
2579 
2  583 

2,588 
2592 
2597 
2601 
2606 


1 5 


53 

5355:27 
5395  28 

5434129 
5474!a9 


55i4^3o 
555431 
5593  3 


297014^5633  32 


46o5 
4566 
4526 


4486 
4446 
4407 

4367 
432 


2881 

2916 

2951 

2986 

3o2 1 J29  6979'  567  3  33 

3u56l3o  6944j57 1 2.3314288 
3092  306908,5752  34  4248 
3126  3i  6874,5791  354209 
3i6 1  3268395831^354169 
3 1 96  32  68o4  5870  36  4i 3o 


a6ii> 
261 5 
2619 
2624 
2628 


2633 
2637 
2642 

2647 
265 1 


4090 


2656 

266( 

2665 

2669 

2674 


2678 


32311336769591037 
3266  33  6734  5949  37|4o5i  2683 
33ot  34  6699  5989  38  40 1 112688 
3336  34  6664  6028  39  3972  2692 
3370  35  663o  6067  39  3933  2697 


34o5 


9.S 


eo«. 


36 


il. 


6595 


10.4 


■ec. 


6107 


9.5 


cot. 


4o 


3893 


KM 


2701 


o 
o 
o 
o 
o 

o 
o 
1 
I 
1 

I 

1 
I 
I 
I 

I 
I 
I 
I 
1 

1 

2 
2 
3 
2 

3 
2 
2 
2 
3 

a 
3 

3 

2 
3 

3 
3 
3 
3 
3 

3 
3 
3 
3 
3 

3 
3 
3 
4 
4 

4 
4 
4 
4 
4 

4 
4 
4 
4 
4 
4 


9.tl_ 

7567 
7563 
7558 

7554 
7550 


7545 

7541 
7536 

7  J  J  2 
7528 

7523 
7519 
75 1 5 
75i<> 
75o6 

75oi 

7497 
7492 
7488 

7484 

7479 
7475 
7470 
7466 
7461 


aoo 


159° 


7457 
7453 
7448 

7444 
7439 


7435 

743o 
7426 
7421 
7417 


74l2 

7408 

74o3 
7399 
7394 


7390 
7385 
738 1 

7376 
7372 


7367 
7363 
7358 
7353 
7349 


7344 
7340 
7335 
733 1 
7326 


coiec 


7333 

7317 
73  I  3 
7308 

73o3 

7299 

9.9 


aiti. 


■III. 


9.1 


340  5 

3440 
3475 
3509 

3544 


3578 
36i3 

3682 
3716 


owec 


10.4 


6595 

65t)o 
6525 
6491 
6456 


6107 
6 1 46 
6i85 
6224 

6264 


[6422 
36387 
46353 
563i8 
56284 


375i 

3785 
3819 
3854 

3888 

3922 
3957 
3991 
4o25 
4o59 

4093 
4127 
4i6 

4195 
4229 

4263 

4297 

433 

4365 

4399 


4433 
446t) 
45"  K) 
45.34 
4567 


66249 
6163 1 5 
7  6181 


6i4666i5 


6112 


46t)i 
4635 

4668 
4702 
4735 


4769 
4802 
4830 
4869 
4903 

4936 
4969 

5oo3 
5o36 
5o6g 


5 1 02 
5i36 
5169 
5aoa 
5235 


tiiii. 


y.5 


d. 


63o3 
6342 
638 1 
6420 
6459 

6498 
6537 
6576 


7 
8 

"8 

9 
o 

o 

I 

I 
2 

2 
3:58o5 

45771 

4 
5 


6654 


6078 
6u43 
6009 
5975 
5941 
5907 
5873 


cot 


10  4 
3893 
3854 
38i5 
3776 
3736 


3  3697 

4  3658 


4136192734 


5;358i' 
&3541 
"6 


67  J  2 
6771 
6810 
6849 

6887 
6926 


20 

3U 
31 
21 
22 


58396965 

7tKj4 
7042 


5737 

57<'3 
5669 
5635 

56(H 

5567 
5534 
55<vj 

54(36 
5433 


5399 

5365 

533^ 

529' 

5265 

5i3i 
519H 

5i64 
5i3i 
5097 


23 
23 

24 

24 

25 

a  5  5o64 
26  5o3i 


7081 

7  I  2U 

71 58 
7197 
7235 


7374 
73 1 2 
735i 
7389 

74281 


7 
8 
8 

1 
10 
10 
11 
12 
12 

73 
i3 

i4 
i5 
i5 


sec. 

latT 

■J701 
-1706 
2711 
2715 
2720 


2724 

2729 


2738 
2743 


35o- 

3463 

3424 

3385 

3346 


33u 

3268 

3229 

3190 

3i5i 


3n3 

3074 
3o35 
2996 

12958 


7466 
75o4 
7543 
758 1 
7619 


10  2919 

17  2880 
2842 
2803 
2765 

3726 

2688 

2(>49 

26 

2573 

2534 
2496 
2457 
2419 
238 1 


17 
18 

11 
19 
20 

31 
31 
32 


36 

27 
28 


28 
29 


4997 
4964 
493  > 


489: 

4864 


2914831 

4798 
4765 


3o 
3o 

37 


7650 

769(3 

7731 
7772 
78 1  ( ) 


7849 
7887 
7925 
7963 
8001 


8039 

8077 
8ii5 
8i53 
8191 


33 
23 
24 
34 
25 

26 
26 

37 
28 
38 


d. 


274H 
3752 
3757 
2762 
2766 


2771 

2776 
2780 

2785 

2790 


2794 
2799 

2804 
2808 
2813 


2818 
2833 

2827 
2832 

2837 


284 

3846 
285i 
2855 
2860 


29 
3o 
3o 
3i 
3i 


32 

33 
l33 
,34 

35 


I0»o 


too 


5268  3 1  473  J  8229 
53oi  32  4699  8267 
5334  33  4666  83o4 
5367  33  4633  8342 
54o<j  33  4600  838o 


2342 
23(>4 
2266 
3328 
2 1 90 


3l5l 
3ll3 

2075 

3037 

1999 


5433 


9.i 


34 


4567 


cm.  Id. 


10.4 


84i8 


9.5 


tec  I  cot. 


1961 
1923 

i885 

1 847 
1809 

35  1771  2961 

36  1 733  3965 

37  1696  3970 

37  1 658  3975 

38  1620  3980 


2865 
2870 

3874 
2879 
3884 


2889 
2893 
2898 
2903 
2908 


2913 
2917 
2922 
2927 
2932 

3937 
2941 
2946 
2951 
2956 


39 


1 582 


10.4 


tan. 


2985 


c«c. 


9.9 


299 
7294 
7289 
7285 
728*) 

7276 
7271 
7266 
7262 
7257 


7252 
7248 
7243 
7238 
7234 


7229 
7224 
7220 
72i5 
7210 


60 

59 
58 

57 
56 

55 

54 
53 

53 

5i 


l'».U 


cosec 


720b 

201 

7196 

7192 

7187 


7182 

7178 
7173 
7168 
7163 


2 
3 
3 

3 
3 

3 
3 
3 
3 

3 

3 

3. 

3 

3 

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4 
4 
4 
4 
4 

4 
4 
4 
4 
4 

4 
4 
4 
5 
5 
5 


7159 

7154 

7149 
7145 
7«4o 


7135 
7i3( 
7126 
7121 

71 16 


7111 

7107 
7102 

7<>97 
7092 


5o 

49 

48 

47 
46 

45 
AA 
43 
42 
4i 

4o 
39 
38 

37 
36 

35 
34 
33 

32 

3i_ 

3o 
29 
28 
27 
26 


7087 
7083 
7078 

7073 
7068 


7063 
7059 
7054 
7049 
7044 


7039 
7o35 
7o3o 
7035 

7030 

701 5 


9.9 


1100 


69° 


35 

34 

33 
22 
31 

20 

'9 

18 

J7 
^6 

i5 

14 
1 3 

13 
II 


10 


LOGARITHMIC 

SINES,  TANGENTS, 

& 

C. 

311 

Hio                     158° 

23°                   157° 

1 

sin. 
9.5 

d. 

cosec 
10.4 

tan. 

y.o* 

d. 

cot. 

10.4* 

sec. 

10.0 

d. 

coa. 
9.9 

sin. 
9.;> 

d. 

coxec 
10.4 

tan. 
9.6 

d. 

cot. 

sec. 

Id. 

COS. 

9.9 

10.3 

IU.it 

0 

5433 

0 

4567 

84i« 

0 

i582 

2985 

0 

7015 

7358 

0 

2642 

064 1 

0 

9359 

3283!  0 

6717 

60 

I 

5466 

1 

4534 

8455 

1 

1545 

2990 

0 

7010 

7389 

I 

2611 

0677 

1 

9323 

3289  0 

671  I 

59 

3 

5499 

1 

45oi 

8493 

1 

i5o7 

2995 

0 

7005 

7420 

I 

258o 

0714 

1 

9286 

3294  0 

6706 

58 

3 

5532 

2 

4468 

853i 

2 

1469 

2999 

0 

7001 

745 1 

2 

2549 

0750 

2 

9550 

3299  0 

6701 

57 

4 

5564 

2 

4436 

8569 

2 

i43i 

3oo4 

0 

6996 

7482 

2 

25i8 

0786 

2 

9214 

33o4  0  6696 

56 

5 

5597 

3 

44o3 

8606 

3 

1394 

3009 

0 

6991 

75i4 

3 

2486 

0823 

3 

9 '-77 

33o9'  0  '6691 

55 

6 

563o 

3 

4370 

8644 

4 

i356 

3oi4 

0 

6986 

7545 

3 

2455 

0859 

4 

9141 

33i4  I 

6686 

54 

7 

5663 

4 

4337 

8681 

4 

i3i9 

3019 

6981 

7576 

4 

2424 

0895 

4 

9105 

3319'  I 

6681 

53 

8 

5695 

4 

43o5 

8719 

5 

1281 

3o24 

6976 

7607 

4 

2393 

0931 

5 

^?? 

3324i  1 

6(576 

53 

9 

5728 

5 

4272 

8757 

6 

1243 

3029 

6971 

7638 

5 

2362 

0967 

5 

333o|  I 

6670 

5i 

10 

5761 

5 

4239 

8794 
8832 

6 

1 306 

3o34 

6966 

7669 

5 

233 1 

1004 

6 

8996 

3335 

1  I 
1  * 

6665 

5o 

II 

5793 

6 

4207 

7 

1 168 

3o38 

6962 

7700 

6 

23oo 

io4o 

7 

8960 

3340 

1 

6660 

49 

12 

5826 

6 

4174 

8869 

7 

ii3i|3o43 

6957 

773 1 

6 

2269 

1076 

7 

89^4 
8888 

3345 

6655 

48 

13 

5858 

7 

4i4^ 

8907 

8 

i()o3 

3o48 

6952 

7762 

7 

2238 

1112 

8 

335o 

665o 

47 

14 

5891 

7 

4109 

8944 

9 

io56 

3o53 

6947 

7793 

7 

3307 

ii48 

8 

8852 

3355 

6645 

46 

i5 

5923 

8 

4077 

89S1 

9 

1019 

3o58 

6942 

7824 

8 

2176 

1 184 

9 

8816 

336o 

664o 

45 

16 

5956 

9 

4o44 

9019 

10 

0981 

3r^3 

6937 

7855 

8 

2145 

1220 

10 

8780 

3366 

6634 

44 

17 

5988 

9 

4012 

9o56 

10 

0944 

3o68 

6932 

7885 

9 

3Il5 

1256 

10 

8744 

3371 

6629 

43 

18 

6021 

10 

3979 

9094 

11 

0906 

3073 

6927 

7916 

9 

3084 

1292 

1 1 

8708 

3376 

2 

6624 

43 

11 

20 

6o53 
6o85 

10 
It 

3947 
3915 

9i3i 
9168 

12 

12 

0869  3078 
o832  3o83 

2 
3 

6922 
6917 

7947 
7978 

10 
10 

2o53 

2032 

i328 

1 1 

8672 
8636 

338 I 1  2 
3386  2 

(36i9 
66i4 

4i 

4o 

1 364 

12 

21 

6118 

11 

3882 

9205 

i3 

0795 

3o88 

3 

6912 

8008 

11 

1992 

lioo 

i3  86r)o 

3392  2 

6608 

.39 

33 

6i5o 

12 

385o 

9243 

i4 

0757 

3093 

2 

6907 

8039 

II 

I961 

1 436 

138564 

3397I  3 

66o3 

38 

33 

6182 

12 

38i8 

9280 

i4 

0720 

3097 

3 

6903 
6898 

8070 

13 

1930 

1472 

i4i8538 

34o3 

2 

6598 

37 

24 

62i5 

i3 

3785 

9317 

i5 

o683 

3 102 

3 

8101 

13 

1899 

i5o8 

148492 

3407 

2 

6593 

36 

35 

6247 

i3 

3753 

9354 

i5 

0646 

3l07 

2 

6893 

8i3i 

l3 

1869 

1 544 

15  8456 

34i3 

2 

6588 

35 

36 

6279 

i4 

3721 

9391 

16 

0609 

3lI2 

2 

6888 

8162 

i3 

1838 

1 579 

i5;842i 

3418 

3 

6582 

34 

27 

63 1 1 

i4 

3689 

9429 

n 

0571 

3ii7 

3 

6883 

8192 

i4 

1808 

i6i5 

16  8385 

3423 

3 

6577 

33 

38 

6343 

i5 

3657 

9466 

17 

o534 

3l22 

2 

6878 

8223 

14 

T777 

i65i 

17,8349 

3428 

^ 

6572 

33 

39 

6375 

16 

3625 

95l)3 

18 

0497 

3i27 

2 

6873 

8253 

i5 

1747 

1687 

I7i83i3 

3433;  3 

6567 

3i 

3o 

64o8 

16 

3592 

9540 

19 

0460 

3i32 

2 

6868 

8284 

i5 

I716 

1722 

188278 

3438 

3 

6562 

3o 

3i 

6440 

17 

356o 

9^77 

'9 

0423 

3i37 

3 

6863 

83i4 

16 

1686 

1758 

188242 

3444 

3 

6556 

39 

32 

6472 

«7 

3528 

9^14 

20 

o386 

3i42 

3 

6858 

8345 

16 

i655 

1794 

198206 

3449 

3 

655 1 

38 

33 

65o4 

18 

M9^ 

965. 

20 

0349 

3i47 

3 

6853 

8375 

17 

1625 

i83o 

2o'8l70 

3454 

3 

6546 

27 

34  6536 

18 

3464 

9688 

21 

o3i2 

3i52 

3 

6848 

84o6 

17 

1594 

i865 

20 

8i35 

3459 

3  654 1 

26 

35 

6568 

'9 

3432 

9725 

22 

0275 

3i57 

3 

6843 

8436 

18 

1 564 

1901 

21 

8099 

3465 

3  6535 

25 

36 

6599 

'9 

3401 

9762 

22 

0238 

3i62 

3 

6838 

8467 

18 

1 533 

1936 

21 

8064 

3470 

3  653o 

24 

37 

663 1 

20 

3369 

9799 

23 

0201 

3167 

3 

6833 

8497 

19 

i5o3 

1972 

22 

8028 

3475 

3  6525 

33 

38 

6663 

20 

3337 

9835 

23 

oi65 

3172 

3 

6828 

8527 

19 

1473 

2008 

23 

7992 

3480 

3  6520 

32 

39 

6695 

21 

33o5 

9872 

24 

0128 

3i77 

3 

6823 

8557 

20 

1443 

2043 

23 

7957 

3486 

3 

65i4 

31 

4o 

6727 

21 

3273 

9909 

25 

0091 

3182 

3 

6818 

8588 

20 

l4l2 

2079 

24 

7921 

3491 

3 

65o9 

30 

4i 

6759 

22 

3241 

9946 

25 

oo54 

3187 

3 

68i3 

8618 

21 

i382 

2ii4  24 

7886 

3496 

4 

65o4 

'9 

42 

6790 

23 

32IO 

9983 

26 

♦017 

J192 

3 

6808 

8648 

21 

i352 

2i5o 

25 

785o 

35o2 

4 

6498 

iS 

AS 

6822 

23 

3178 

♦019 

27 

9981 

3197 

4 

68o3 

8678 

22 

l322 

2i85i26 

7815 

35o7 

4 

6493 

17 

44 

6854 

24 

3 1 46 

oo56 

27 

9944 

3203 

4 

6798 

8709  22 

I29t 

2221 

26 

7779 

35i2 

4 

6488 

16 

45 

6886 

24 

3ii4 

0093 

28 

9907 

3207 

4 

6793 

8739  23 

I  26 1 

2256 

27 

7744 

35i7 

4 

6483 

i5 

46 

6917 

25 

3o83 

oi3o 

28 

9870 

3212 

4 

6788 

8769 

23 

123l 

2292 

27 

7708 

3523 

4 

6477 

i4 

47 

6949 

25 

3o5i 

0166 

29 

9«34 

3217 

4 

6783 

8799 

24 

1201 

2327 

28 

7673 

3528 

4 

6472 

i3 

4S 

6980 

26 

3020 

0203 

3o 

9797 

3222 

4 

6778 

8829 

24 

II7I 

2362 

39 

7638 

3533 

4 

6467 

13 

49 

7012 

26 

2988 

0240 

3o 

9760 

3228 

4 

6772 

8859 

25 

ii4i 

2398 

39 

7602 

3539 

4 

6461 

11 

5o 

7044 

27 

2956 

0276 

3i 

9724 

3235 

4 

6767 

8889 

25 

HIT 

2433 

3o 

7567 

3544 

4 

6456 

10 

5i 

7075 

27 

2925 

o3i3 

3 1 

9687 

3238 

4 

6762 

8919 

26 

1081 

2468 

3o 

7532 

3549 

4 

645 1 

9 

52 

7107 

28 

2893 

o349 

32 

965 1 

32.43 

4 

6757 

8949  26 

io5i 

25o4 

3i 

7496 

3555 

5 

6445 

6 

53 

7i38 

28 

2862 

o386 

33 

9614 

3248 

4 

6753 

897927 

1 03 1 

2539I33 

7461 

356o 

5 

644o 

7 

54 

7169 

29 

283 1 

0422 

33 

9578 

3253 

4 

6747 

900927 

0991 

3574,33 

7426 

3565 

5 

6435 

6 

55 

7201 

29 

2799 

0459 

34 

9M< 

3258 

5 

6742 

9039  28 

0961 

360933 

7391 

3571 

5 

6429 

5 

5b 

7232 

3o 

2768 

0495 

35 

95o5 

3363 

5 

6737 

9069  28 

0931 

2645  33  7355 

3576 

5 

6424 

4 

57 

7264 

3o 

2736 

o532 

35 

9468 

3268 

5 

6732 

9098 

29 

0002 

268o34|732o 

358 1 

5 

64i9 

3 

58 

7295 

3i 

2705 

o568 

36 

9432 

3273 

5 

6737 

9128 

29  0873I 

271535,7285 

3587 

5 

64 1 3 

3 

^9 

7326 

32 

2674 

060  5 

36 

9395 

3278 

5 

6733 

9i58  3o!o842| 

2750  35 

725o 

3592 

5 

6408 

I 

60 

7358 

32 

2642 

064 1 

37 

9359 

3283 

5 

6717 

9188 

3i 

0812 

2785  36 

72 1 5 

3597 

5 

64o3 

0 

/ 

9.0 

coa. 

d. 

I  A 

9.6 

d7 

10.!* 

I  VI 

d. 

9.9 
ain. 

9.5 

COB. 

d. 

10.4 

sec. 

9fi  . 
cot. 

d. 

10.3 
tan. 

10.0 

9.9 
sin. 

1 

Rec. 

cot. 

tan.  cosed 

cosec 

d. 

,1^^ 

111°                     68°  1 

112°                     67° I 

LOGARITHMIC     SINES.    TANGENTS,    &C. 


:  • 


'      '  HI 


I 


iiiri.    (i.  coit'i*    Ian.     d.    cot.    net. 


\n.v 


7o3rtti 
80339 


10 


10!  02  2  2 
jiooi9^ 
ii  1  oi63 
ji  r:oi34 

I  2  oio5 


34«4 
3S19 

tj  .J  ■  .J  -J 

3588 
3533 


9914 

9983 
♦012 
oo4i 


0070 
0099 
0128 
01 57 
0186 

oai5 

oa44| 
0273I 
o3o2 
o33i 


1210076 
1 3:0046 
1 3  ♦017 
i4  99S8 

1419959 


3657 
3693 
3726 
3761 
370 


159930 
159901 

15,9872 
1 61 9843 
169814 


383o 
3865 

3934 

3968 


179785 
9756 

9727 


0359 
o388 

o4l7 

0:446 

o474 


4(K)3 
4o37 

4072 

18J96984106' 
i9!96o94i4o 

'I^|964l 
20J:96»2 
20  9583 
2 1 19554 

211,9526 


o5o3 
o532 
o56i 
0589 

0618 

06461 
0675 
0704 

0732 
0761 


239497 
22  9468 


0789 
0818 
0846 
0875 
0903 
0931 

9.6^ 


9211 
918a 


9125 
9097 


em,    d. 


29  91)69  4858 


110.3' 


istJC 


6 


iO.3     lO.tt 


6865 
j683(> 

7J6795 
7  676t 
86725 


3379 
3414 
3^49 


4175 
4209 
4243 
4278 
43i2 


4346 
438 1 


4449 
4483 


10 


12 


3597 
36u3 
36o8 
36 1 3 
3619 


3624 
363<» 
3635 

364o 

3646 

355 1 

3557 

3662 

3567 

36_73 

3678 
3684 
368^ 
359 1) 

37c» 


ll.  I  CIM. 


64oJ 
6397 
6392 
6387 
638 1 


o 


6376 
637<» 
6365 
636o 
6354 

6349 
0^43 
6338 
6333 

6327 


14  6343 
i5  63<»8 
166274 
166239 
176204 


3733 
3738 
3744 
3749 
3755 


1716170 
1 816 1 35 
186101 
1916066 
2o!6o32 


5997 
5963 
5928 
58o4 
586f) 


5S5j 

55i7 


943914415  27  5585  3854 

941 1 
9383 

9354 
9325 
9296 
9268 


45i7 
4552 
4586 
4620 
9239  4654 


3760 
3766 

3771 

3777 
3782 


5825 
5791 

5757 

5-'23 

5688 

5654 
56iQ 


4688 

4722 


9154  4756  33 


4790  j  33 
4824 


QOt.  d. 


53 1 2 
5278 
5244 

52 10 

5176 

5 1 42 


6322 

63i6 
63 1 1 

63o5 


5483 
5448 

54i4 

538o|3888 
5346  3893 


386o 
3865 

387? 

3877 
3882 


3899 
3905 
3910 
3916 
392 1 
3927 


u\o 


6240 

6234 

6229 

6223 
6218 


6213 

6J07 
6201 
6196 
6190 


coi'AC  d.  ain. 


2t« 


6294 
6289 
6284 
6278 
6273 


6i85 
6179 
6174 
6168 
6162 

61 57 
6i5i 
6i46 
6i4o 
6i3> 

6129 

>123 

6118 
6112 
6107 


6101 
6095 
6090 
6084 

6079 
6073 


113' 


155° 


din.    d.  co«i?c   tan.    d.    cot     i«, 


1158 
1 186 


1 354 
i382 
t4iT 
1 438 
i466 


9069 

9012 

8984 
8955 


9.6 

48^58 
4892 
4926 
4960 
4994 
8927  5o38 
3  8899  5062 

3  88^1  '     " 

4  8842 
88r4 


6 


1494 

K  Jf  •£  iJk 

i55o 
1578 
1606 


1773 
1800 

1828 
1 856 
1 883 


1911 

*9!? 
i960 

1994 

302I 


8786 
8758 
8730 
870a 
8674 

8646 

8618 


:)oo6 
5 1  Jo 
5164 

5.07 
523 1 
5265 
5399 
5333 

5366 
5400 
5434 
5467 
55oi 


10.  {  lu.o 


5 1 42 
5io8 

5074 
5o4o 
5<x)6 


83(>6 


7896 
7869 
784» 

7814 
7786 


7732 
7704 


2323.237677 
a35o24  765o 

2377I24J7623 
a4o5ja4  7595 
2432  a5  7568 


57o3 
5736 

57*^0 
58o3 

583? 


5870 

5904 

5937 
5971 

6<x>4 


4973 
4938 
4904 

487>^ 
4836 

48o3 
4769 
4735 
4701 
4667 

4634 

4600 

4566 
4533 
4499 


3927 
3933 
3938 
3944 
3950 


1 1  4465 

1 2  4432 
12439S 

1 3  4364 
i3  433i 


3955 
396 
3966 
3972 

3978 

3983 
3980 
3995 
4000 
4006 

4oi3 
4018 
4o23 
4099 
4o35 

4o4" 
4o46 
4o52 
4o58 
4o63 


6o38 
6071 
6104 
8006  61 38 


7979  6171  aa  38294 


7951  6204 
7924  6238 


6271 
63o4 
6337 


6371 

64o4 
77596437 


6470 
65o3 


2459257541 
24861 26,751 4' 
2513:26,748716768 
254ip7  7459,6801 
2568  27  7432  6834 


2595  28  74o5  6867  33  3 1 33  4272 


10^3 


em,   d.  sec.  |  cot. 


4297 
4264 
4a3o|4o8 

4197 
4 1 63 


4i3o 

4096 

4o63 

40294 

3996 


3963 
3929 
3896 
3862 


3796 
3762 

372 

3696 
3663 


3629 
3596 
3563 
353c) 
3497 


3463 
343o 
3397 
3364 
333 1 


cm. 


o 


941 


4i85 
4190 
4196 
4202 
4208 


4214 

4220 

4225 

423 

4237 


3398  4243 
3265.4349 
3232  4255 
3199  4261 
3 1 66  4267 


10  3  10.0 


tan.  cosec  d.  sin 


6073 
6067 
6062 
6o56 
6o5o 


6045 
6039 
6o34 
6028 
6022 

6017 
(ioi  1 

fKK)5 

6o(X) 
5994 


5988 
5983 

5977 
597  • 
5965 


596< 

5954 

5948 

5937 

5931 
5935 
5920 

5914 
5908 

5902 

5897 
5891 
5885 
5879 


5873 
5868 
5863 
5856 
585o 


5844 
583o 
5833 
5827 
583| 

5875 
58  ro 
58o4 
5798 
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5780 

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10 


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SINES,  TANGENTS,  & 

C. 

HIS 

t 

1 

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26°                   1530 

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d. 

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10  3 

sec. 

lO.u 

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9.y 

fin.  i 
9.6 

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10.  J 

tan. 

9.6* 

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f 

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roaec  d. 

115°                     64°  1 

116°                    63«>  I 

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33 

6io3 

5707 

5 

4293 

16 

4'i 

6Ho3 

1  Si  3 197 

2H>9 

23 

7891 

53o{> 

5 

4694 

8213,17 

1787 

3927 

23 

6073 

5714 

5 

4286 

i5 

46 

6S27 

1913173 

ai4o 

24 

786f> 

53i3 

5 

4687 

823718 

1763 

3957 

23 

6r,43 

5721 

5 

4279 

i4 

4-7 

6H5i 

193149 

2170 

24 

783(> 

5320 

5 

4680 

826(iji8 

1740 

3987 

24 

601 3 

5727 

5 

4273 

i3 

/i8 

6S-5 

19  3(25 

2201 

25 

7799 

5326 

5 

4674 

8283)19 

ijjj 

4017 

24 

5983 

5734 

5 

4266 

12 

49 
5o 

6899 

692  2 

2«,»  3lOI 

' '  -^ 

223 1 

25 

26 

77<»9 
7738 

5333 
5340 

5 

5 

4667 

4660 

83o5;i9 

83281 19 

1695 

1672 

4o47 

4077 

25j 

2-5 

5953 
5923 

574  r 
5748 

6 
6 

4259 

4252 

II 

10 

2262 

5i 

6946 

J  ij  j'.',j4 

2293 

26 

7707 

5346 

6 

4654 

8351I20 

1649 

4107 

26 

5893 

5755 

6 

4245 

9 

5^ 

6970 

31 

3o3o 

2  3231 27 

7677 

5353 

6 

4647 

837420 

1626 

4i37 

26 

5863  5762 

6 

4238 

8 

53 

6994 

21 

3o(i6 

2354,37 

7646  536f» 
7616  5366 

7585  5373 

6 

464o 

8397  21 

i6o3 

4i66 

27 

5834  5769 

6 

423i 

7 

54 

55 

7018 

22 

2982 

2384 

241 5 

28 

28 

6 
6 

4634 

4627 

8420 
8443 

21 

i58(» 

4196 

4226 

27 
28 

58o4j5770 

5774.5783 

6 
6 

4224 
4217 

6 
5 

22  2958 

21 

1 557 

56 

7066  23 

29342445 

29 

7555  538o 

6 

4620 

8466,22 

1 534 

4256 

28  574415790 

6 

4210 

4 

57 

7090' 23 

2910  24761 29 

7524  538{) 

6 

46i4 

84892a 
85i2|2a 

i5i  I 

42S6 

2957145797 

7 

42o3 

3 

58 

7Il3|'23 

288725o6i3o 

7494  53931  6 

4607 

i488 

43 1 6 

29  5684  58o4 

7 

4196 

2 

59 

713724;  2863;  2  537;  3o 

7463,54<»!  6 

4600 

8534  23;i466| 

4345 

3o 

5655 

58ii 

7 

4189 

1 

6. 

7161 

9J" 

24 

2839 

2567 

3i 

t 

d. 

7433 

5407 

7 
li 

4593 
9.9 

will. 

8557 
9.6 

cm. 

23  14.43 

4375 

9.7 

3o 
d. 

5625 

10.2 

tan. 

58 18 

10.0 
coaec 

7 

4182 
9.9 

0 
t 

10.3 

9.7 

10.2 

lOil 

X 

J  0.3 

i?t. 

il  1  ioe. 

cot. 

tan. 

camt 

•ec. 

cot. 

d.  sin.  I 

ITY< 

>                    62° 

118°                     61° 

LOGARITHMIC     SINES,     TANGENTS,     &C. 


315 


o 
I 

2 

3 
_4 

5 
6 

7 
8 

_9 
10 
II 
12 
i3 
i4 

i5 
16 

17 
18 

!? 
20 
21 
22 

23 

24 

25 

26 

27 

28 
29 

3o 
3i 

32 

33 

34 

35 
36 

37 
38 
39 

4o 

4i 

42 
43 
44 

45 
46 

47 
4S 

5o 
5i 

52 

53 

54 
55 
56 

57 

58 
59 
6(^ 


9.G 

8^ 
858o 
86o3 
8625 
8648 


8671 
8694 
8716 
8739 
8762 


8784 
8807 
8829 
8853 
8875 


8897 
8920 
8942 
8965 
89H7 


290 


150« 


8in. 


d.i 


9010 
9032 
9055 

9077 
9100 

9122 

9144 
9167 
9189 
9212 


9234 
9256 
9279 
9301 
9323 


9345 
9368 
9390 
9412 
9434 


9456 

9479 
9501 

9523 

9545 


9567 
9589 
961 1 
9633 
9655 

9677 
9699 

97  2  T 
9743 

9765 


9787 
9809 

9831 
9853 
9875 
9897 


o 
o 
1 
I 
I 

2 
2 

3 
3 

1 

1 
4 
4 
5 
5 

6 
6 
6 

7 
_7 

7 
8 

8 

9 

J? 

9 

10 

o 
o 
I 

I 
2 
2 
2 


C090C 


10.3 


1443 
1420 
1397 
1375 

1 35  J 


1329 

i3o6 
1284 
1261 

1238 


1216 
£193 
1 171 

ii4H 

I  125 


1 1  o3 

[080 
to58 
io35 
ioi3 


099, 
0968 
0945 
0923 
1900 


o87h 
()856 
o833 
081 1 
0788 


0766 

0744 
0721 
oi 


0677 


o655 
o632 
0610 
o588 
o566 


o544 
o52i 

0499 

0477 
0455 


tan. 


9.7 


4375 

44f>5 
4435 
4465 
4494 


4524 
4554 
4583 
46 1 3 

4643 


4673 
4702 
4732 
4762 

479' 


4^2  I 

485 1 
4880 
4910 

4969 

4998 
5028 

5o58 
5087 


■3117 
5i46 
5176 
52o5 
5235 


5264 
5294 
5323 


'^99  5353 


5382 


d. 

o 
o 
I 
I 
2 


cot. 


5625 
5595 
5565 
5535 

55c  )6 


54ii 
5441 
5470 
55oo 
5529 


5558 
5588 
56i7 
5647 

5676 


0433 
o4ir 
0389 
o367 
o345 


9 

9 

9 
20 


2q  03 


9.6 


COS. 


20 

21 
21 
22 
22 
22 


)323 

o3oi 

0279 
0257 

35 


02l3 

0191 
0169 

ot47 

0125 

oio3 


5705 
5735 
5764 
5793 

5822 


5852 
588 1 
5910 
5939 
5969 


5998 
6027 
6o56 
6086 
,6m  5 
6i44 


10.3 


sec.  cot, 


9.T 


8 
8 

9 
9 
20 
20 
21 
21 
22 


547(^ 
5446 

5417 
5387 

5357 

5327 
5398 
5268 
5238 
5209 


5179 

5i49 
5 1 20 

5090 
5<>(ii 


5o3i 
5oo2 
4972 
4942 
49' 3 


4883 
4854 
4824 

4795 
4765 


4736 
4706 
4677 
4647 
46i8 


45^9 
4559 
453o 
45oo 
4471 


•«c. 


lO.O 


58i8 
5825 
5832 
5839 
5846 


5853 
586o 
5867 
5874 
588 1 


5888 
5895 
5902 
5910 
5917 


5924 
5931 
5938 
5945 
5952 


5959 

5966 
5973 
5980 
5988 


5995 
6002 
6009 
6016 
6023 


6o3o 
6o37 
6045 
6o52 
6059 


d.  I  COS. 


6066 
6073 
6080 
6088 
6095 


22 
23 

23 
24 
24 


25 
25 

26 
26 

27 

27 
28 
28 
29 
29 
29 


4442 

44i2 
4383 
4353 
4324 


6102 
6109 
6ri6 
6124 
6i3i 


4295 
4265 
42  36 
4207 
4178 


4i4H 
4119 
4fi9o 
4o6i 
4o3i 


4oo2 
3973 
3944 
3914 
3885 
3856 


10. 


d,  tan.  cosec 


61 38 
6i45 
6i53 
6160 
6167 

6174 
6i8i 
6189 
6196 
6203 


6211 
6218 
6225 
6232 
6240 
6247 


KVI 


9.9 


4«47 

4i4o 
4i33 
4126 
4119 


4182 

4'75 
4168 
4t6r 
4i54 


4i  12 
4io5 
4098 
4090 
4o83 


4076 
4069 
4062 
4o55 
4o48 


4o4i 
4o34 
4027 

4020 

4oi2 


4oo5 
3998 
3991 

3984 
3977 


3970 
3963 
3955 
3948 
3941 

3934 

3927 
3920 
3912 
3905 

3898 
3891 
3884 
3876 
3869 


3863 
3855 

3847 
384o 
3833 


3826 
3819 
38ii 
38o4 
3797 


3789 
3782 
3775 
3768 
3760 
3753 


9.9 


1J9' 


sin. 
60° 


30= 


149 


sin.    d.  cosKJc    tan. 


9.0* 


9897 
9919 
9941 
9963 

9984 


♦006 
0028 

oo5o 
0072 
0093 


oii5 

oi37 
0159 
0180 
0202 


0224 
0245 
0267 
0288 
o3i( 


o332 
o353 
0375 
0396 
o4i8 


0439 
0461 
0482 
o5o4 
o525 


10..J* 


ooio3 
0081 
0059 
00  37 
♦016 

9994 
9972 

9950 

9928 

9907 


6144 
6173 
6202 
623i 
6261 


6290 
63 1 9 
6348 

6377 
64o6 


49885 
49863 

49«4i 
59820 
9798 


9776 
9755 
9733 
9712 
9690 


5 
6 
6 
6 

2 
7 

8 
8 
8 

_? 
99:101 
99539 

09518 
09496 
09475 


9668 

9647 
9625 
9604 
9582 


o547 
o568 
0590 
061 1 
o633 


o654 
0675 
0697 
0718 
0739 


0761 
0782 
o8o3 
0824 
o846 


0867 
0888 
0909 
0931 
0952 


0973 
0994 
ioi5 
io36 
io58 


1079 

IIOO 
II2I 
Il42 

ii63 
1 184 


9.7* 


9.7 


6435 
6464 
6493 

6522 

655 1 


658o 
6609 
6639 
6668 
6697 


6725 

6754 
6783 
6812 
684 1 


6870 
6899 
6928 
6957 
6986 


9453 
9432 
9410 
9389 
9367 


7oi5 
7044 
7073 
7101 
7i3o 


9346 
9325 
93o3 
9282 
9261 


7159 

7188 
7217 
7246 

7274 


9239 
9218 

9197 

9176 

9154 


9133 
9112 

909  > 
9069 

9048 


9027 
9006 
8985 
8964 
8943 


20 
20 
20 
21 
21 


cot. 


10.-2 


3856 
3827 
3798 
3769 
3739 


6247  o 
6254  o 
6262;  o 
6269  o 
6276  o 


3710 
368 1 
3652 
3623 
3594 

3565 
^3536 
6|35o7 
6'Mi^ 
3449 


3420 
3391 
336 1 
3332 
33o3 


73o3 
7332 
736 1 
7390 
7418 


7447 
7476 
75o5 
7533 
7562 


sec.  d. 


10.0 


62831 

6291 

6298' 

63o5 
63 1 3 


6330 
6327 
6335 
6342i 
635o! 


6357 
6364 
6372 
6379 
6386 


3275 
3246 
3217 

3i88 


2 
3 
3 
3 
3i59|6423|3 

|3 
3 
3 
3 
4 


3i3o 
3ioi 
3072 
3o43 
3oi4 


643  r 
6438 
6446 
6453 
6461 


42985 
2956 
2927 
2899 
2870 


9 

20 

20 
21 
21 


7591 
7619 
7648 

7677 
7706 


8921 
8900 

8879 
8858 

8837 
21  8816 


COS.  d.  sec. 


10.2* 


7734 
7763 

7791 
7820 

7849 

7877 


9.7 


cot. 


22 
22 
23 
23 

24 

I4 
25 
25 

26 
26 

26 
27 
27 
28 
38 
29 


2841 
2812 

2783 

2754 

2726 


2697 
2668 

2639 
2610 

2582 


2553 
2524 
2495 
2467 
2438 


I 
I 
I 
I 
I 

I 
I 
I 

2 
2 

2 
2 
2 
2 
2 


63941 
64oi| 
6409 
64 16 


6468 
6475 
6483 
6490  4 
-  -  4 

4 
4 
5 
5 
5 


6498 


65o5 
65i3 
6520 
6528 
6535 


6543 
655o 
6558 
6565 
6573 


658o 
6588 
6595 
66o3 
6610 


2409 
238 

2352 
2323 

2294 


2266 
2237 
2209 
2r8o 
21 5i 

2123 


10.2 


d.  I  tan. 


6618 
6625 
6633 
6640 
6648 

6656 
6663 
6671 
6678 
6686 
6693 


lO.O 


cosec  d. 


COS. 

9l9~ 
3753 

3746 
3738 
3731 
3724 

3717 
3709 
3702 
3695 
3687 

368o 
3673 
3665 
3658 
365o 

3643 
3636 
3628 
3621 
36i4 

36^ 
3599 
3591 
3584 
3577 
3569 
3562 
3554 

3547 
3539 

353^ 
3525 

3517 

35io 
35o2 

3495 

3487 
3480 
3472 
3465 

345^ 
345o 
3442 
3435 
3427 

3420 
3412 
34o5 
3397 
3390 

3382 
33-5 
336- 
336o 
3352 

3I44 
3337 
3329 

3322 

33.4 

33o7 
_9^ 

sin. 


60 
59 

58 

57 
56 

55 

54 
53 

52 

5i 

5o 

49 

48 

47 
46 

45 
44 
43 
42 
4f_ 

4o 
3c 
3t 

37 
36 

35 
34 

32 

3i 

3o 

28 
27 
26 

25 

24 

23 
22 
21 

20 

^9 
18 

17 
16 

i5 
i4 
i3 
12 
11 

10 

9 
8 

7 
6 

5 

4 
3 
2 
I 
o 


120^ 


59= 


#16 


I 


if 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


5 
6 

7 
8 

_? 

10 

If 

12 

i3 

i4 

1 5 

1 6 

"7 
i8 

'9 


3F 


148' 


•in.  { 4 


9.1 


it84 
I  aoS 

1336 
1 247 

t2'68 

1 389 
1 3(0 

1 33 1 

35-i 

1 373 


o  88 1 6  7877 


tkii.   ft. 


9.7 


0  879.5 

1  8774 
I  8753 

J.       U'   ft  iiJP'  A 


I  393 

i4i4 
1435 

1 456 

1477 


28711 

2  86941 
28669 

3  8648 
3  8( 


1498 
i5i9 

1539 
i56o 
i58i 


3  86117 

4  8586 

4  8565 
48544 
5853  3 

5  85<>2 
5  8481 
6846. 
684io 


7906 
7935 
7963 
7992 


8020 
8049 
8077 
8106 
8i35 


d.  Qm. 


20 
21 
22 

a3 

24 


25 

26 

27 
28 

?2 
'Jo 
3 1 

32 

34 

35 
36 

![■*•» 
•J'  / 

38 
39 


l(XJ2 
1622 
1643 
1664 

i685 


78398 
78378 
8  835? 


8i63 
8193 
8220 

8249 

8277 


1980 
3  1951 
1923 
1894 
4!  1 865 


5' 1837 
51 1808 
61780 

61751 


83o6 
8334 
8363  8  i63 

8391  91609 
7  84"9|84i9|  9i58t 

9  1 553 


8448 
8476!  10 

85o5!io 


88336  8533  II 
8563  II 


1 524 


6846 

6854 


8  83i5 

17051  98295 
1726  98274 
1 7471  98253 


108233 
10  82 1 3 


4o 

4i 

43 
43 

44 


767 
1788 

809  108191 
1839111  8171 
i850|H  8i5o 
1870  II  8i3o 

1691 1 13  8109 

138089 
128068 

1 3  8048 
i3  8oa7 
1 3  8006 


1495  6862 
14676869 
1 438  6877 


33o7 
3399 
3291 
3284 

3376 

32(>9 
3261 
3253 
3246 
3238 

323(> 

3233 

32i5 

3207 

3300 


3192 
3 184 
3i77 
3169 
3i6i 


8590!  1 2  14 1  u  6885 
861812  i382  689:» 
8647  i3  i353  690f 
867513  1 325  69t>8 
8704;  i4|  1 296  6916 


191 1 
r  932 
195a 
1973 
994 


45 
46 

47 
48 

5o 

5i 

52 

53 
54 

55 
56 

57 

58 
60 


2014 

2o34 
2o55 
2075 
2096 


8732  1412686923 
8760  i5  12406931 
8789115  laii  6939 
8817!  16  1 1836947 
88451 16  n55  6954 

II 26K3962 
1098  6970 


8874,17 
8902  17 
8930 
89S9 


1070 
io4i 


6978 
6986 


1 3  8006  8987I18  ioi3|6993 

147986901 5119  0985 

i4796t'>9<M3ji9|o957 

147945 
157925 
1 5  7904 


31 16  157884 


2 1 37 

2  I  57 
2177 
219^ 


2218 

2238 

2259 
2279 

2299 


167863 
167843 

167823 

i  7  7802 

1 7  7782 

18  776  J 
187741 
187721 
197701 


232{ 
2340 

236o 
238 1 

2401 
2421 

9~ 


197680 
197661 
20  7640 

207619 


9072  20 

9ioo!2o 
9128121 

9i56|2i 
918533 

9213  22 
9241  23 
9269  23 

9297  24 
9326  24 
9354  25 
9382  25 
941026 


9438 
9466 
9^95 
9523 


0928 

0872 

o8i5 

0787 


7001 
7o«>9 

7017 
7024 
70  3  2 


7o4o 
7048 
7o56 
0759  7064 
0731  7071 


CO*. 


207599J955II28 


31 


d. 


7579 


10.2 


»tJC. 


0703 
0674 
0646 
0618 
0590 

o56a 
o534 
o5o5 

0477 
0449 
0421 


cot. 


11X2 


7079 
7087 
7095 
7io3 
71 II 

7n9 
7126  7 
7134  7 
7142 
7i5o 
71 58 


2999 

2983 
2976 
2968 


2960 
2952 
2944 
2936 
3929 


2921 
2913 
2905 
3897 
2889 


tan.   cosec 


1210 


3»« 


Tifo 


8IJ1, 


3431 

3441 
2461 
3482 

35o2 


a  52  2 
2542 

2562 

3  58a 


coBec 


10.2 


7579 
7559 

7539 

75io 
7498 


d.  cot. 


7478 
7458 
7438 
7418 


2623 
2643 
2663 
3683 
2703 

2723 
2743 

2763 
2783 
28i>3 


7378 
7357 
7337 
7317 

7297 


9719 
9747 
9776 
9804 


73989832 


2922 
3942 
296a 
2982 
3oo3 


3o32 

3o4i 
3o6i 
3(i8i 
3ioi 


9860 
9888 
9916 
9944 
9973 


o 


10  d* 


04  2 1 
0393 
o365 
0337 
o3o9 


3  028 
3  0253 

3  02  24 

4  0196 
4oi(38 


71 58 
7166 

7174 

7182 
7i9(j 


♦000 
0028 
CK>56 
0084 
0113 


5jOi4o 
5oi  12 
0084 
cx)56 

Of)28 


oi4(> 
0168 
0195 
02 23!  11 
70980251  11 


♦000 
9972 
89944 

8  99:6 
99888 

99860 
10 
10 


7078 
7o58 
7o38 
7018 
699S 


3l2l 

3i4o 
3i6o 
3 1 80 
3200 

3a  19 
3339 
3a5o 

3378 
3298 

33i8l5 


7237 
7245 
7253 
7261 
7269 


COiPn 


2842 
2834 
2826 
2818 

2810 


9832I7325 
98057333 


28o3 
2795 
2787 

2779J  53 

2771  5i 


9777 
9749 


734  > 
7349 


0279  12  972  r 
0307J12J9693 
o335  139665 


o363 
0391 


0419 
0447*  1 4 
«>474ii5 
o5o2ji5 
i99o53o'i6 

.^558  76 


6879 
6860, 
684o 


o586 
0614 


6820  0642 
^38000669 


(J697  19 
0725  19 
0753 
0781 
0808 


9637 

?^'9 
958 
9553 
9526 

949« 
9470 


944? 
9414 
9386 
9358 
933 1 


20 


6487 
6467 
6448 
6428 
6409 
6389 


08  36 
0864 
0892,22 
0919  22 
0947123 


93o3 
9275 

9247 
9219 
9192 


7357 
7365 
7373 
738 1 
73j9 

73'97 
74o5 
74 1 3 
7421 
7439 


2f>83 
2675 
2667 
2659 
265 1 


7437 
7445 
7454 
7462 

747" 


3643 

2635 

262 

2619 

2611 


2603 
2595 

2587 
2579 
257 


0975  [23 
i(x)3|24 
io3o  24 
1058I25 
1086!  25 


iii3  26 


9164 
91 36 
9ic»8 
9081 
9053 


7478 
7486 

7494 
75oa 
75io 


9025 

8997 

897' 

8942 

89M 

8887 


75i8 
7527 
7535 
7543 
755i 


2563 
2555 
2546 
2538 
253o 


ii4i  268859 


lO.i 


7559 

7567 
7575 
7584 
7592 


7600 
7608 
7616 


26883 

27  8804  7624 
2787767633 

28  8748  7641 


2522 
25l4 

25o6 
2498 
2490 

2482 
2473 
2465 
2457 
3449 

2441 
2433 
3425 
2416 
2408 


10 


»8<»      1220 


•ec     cot.    d 


10.0 


covec  d.    siij. 


570 


LOGARITHMIC     SINES,     TANGENTS,     &C. 


317 


o 
I 

2 

3 
_4 

5 
6 

7 
8 

_? 
10 
11 
12 
i3 
14 

i5 
16 

17- 
18 

L9. 

2J 
21 
22 
23 
24 

35 

26 

27 
28 

29 


330 


din.    d. 


146°  I  340 


9.7 


36 1 1 

363o 
365o 
3669 
3689 


cosec 


3708 
3737 

3747 
3766 
3785 


06359 
6370 
635o 
633 1 
63ii 


taii.  I  d. 


'.1.^ 


38o5 
3834 
3843 
3863 

3883 


3901 
3921 
3940 
3959 

3978 


6292 

6273 

26253 

3  6234 

_3|62i5 

3,6195 
36176 
4|6i57 
4,6137 
4,6118 


1252 
1279 

i3o7 
i335 
1 362 


o 


cot 


It)  I 


8748 


0I872J 
8693 
8665 
8638 


3997 
4017 
4o36 
4o55 
4074 


3o 
3i 

32 

33 
34 

35 
36 

37 
38 

^1 
4o 

4i 
43 
43 
44 


4093 
4n3 
4i32 
4r5i 
4170 


56099 

3  6079 

5  6060 
66041 
66022 

6  6oo3 


1390 
i4i8 
1445 
1473 
i5oo 

1^28 
i556 
1 583 
1611 
1 638 


sec. 


10  0 


8610 
8582 
3;8555 
4|8527 
4;85oo 


5:8472 

5:84.44 
5;84i7 
68389 
6  8362 


1666 
1693 
1721 
1748 

1776 


5983 
5964 
5945 
5926 


4189 
4308 
4227 
4346 
4365 


4384 

43o3 

4333 

434 

436o 


7 
7 

7 
8 

8  5907 
85887 

9  5868 

9  5849 
9j  583(1 

5"87T 
5792 

5773 

5754 
5735 


9 
10 

10 

II 


10 
10 
10 
10 
II 


45 
46 

47 

48 

5o 
5i 

52 

53 
54 
55 

56 

57 
58 

59 

60 


4379 
4398 

4417 
4436 
4455 


11 
u 
12 
12 
12 


i3 
i3 
i3 
14 
i4 


5716 
5697 
5678 
5659 
564o 


i8o3 
i83i 
1 858 
1886 
r9i3{ii 

1941 
1968 
1996 
2023 

2o5l 


8334 
83o7 
8279 
8252 
8224 


2078 
3io6 
2i33 
2161 
2188 


4474|i4 
4493  i5 
45i2 
453i 


4549 


5621 
56o2 
5583 
5564 
5545 

55^ 

55o7 
5488 
5469 


22l5 
2243 
2270 
2298 
232  5 


II 

12 

12 
l3 

i3 

T4 
14 
i5 
i5 
16 


8197 
8169 
8142 
8ii4 
8087 


7641 
7649 

7657 
7665 
7674 
7682 

7698 

7707 
77 1 5 

77^3 
773 1 
7740 
7748 
7756 

7765 
7773 
7781 
7789 

779a 
7806 
7814 
7823 
783 1 
7839 


d. 


O 
O 

o 
o 
I 

I 
I 
I 
I 
I 

I 

2 
2 
2 

2 


COS. 

"99" 


8059 

8o32 
8004 

7977 
7949 


i5 
i5 
1 61 545 1 


5375 
5356 


4568  i6|5432 
45S7165413 
4606  175394 
4625,17  ~' 
4644  »7 
4662  17 
4681 1 18 
4700' 1 8 
4719  18 
4737  19 
47 '>6 


2352 

238o 
2407 
2435 
2462 


97 


5335 
53i9 
53oo 
5281 
5263 
i9.'5244 
W2 


eo4.  '  d. 
J  230- 


see. 


2489 
25l7 

2544 
2571 

2599 

2626 

3653 

2681 

2708 

2735 

2762 
2790 
2817 

2844 
2871 
2899 


16 
16 

n 

n 
18 

18 
19 

19 
20 

20 


7922 
7894 
7867 
7839 
7812 


7848 

7856 
7864 
7873 
7881 


7785 

7757 
773o 
7703 
7675 


21 
21 
22 
22 
22 

23 

24 


7648 
7620 
7593 
7565 
7538 

75!  I 
7483 
7456 
7439 


7889 
7898 
7906 
7914 
7923 


7931 
7940 
7948 
7956 
7965 


7973 
7982 
7990 
7998 
8007 


801 5 
8024 
8o32 
8o4i 
74oi|8o49 

7374  8o'58 

7347I8066 

73198075 

24|  72928083 

25|7365  8o92 

35i73388ioo 
36  7310  8109 
367183  81 17 
27I71568126 
2771298134 


2 
2 
2 
3 
3 

3 
3 
3 
3 
3 

3 

4 
4 
4 
4 

4 
4 
4 
5 
5 

5 
5 
5 
5 
5 

6 
6 
6 
6 
6 

6 
6 

7 
7 
7 

7 
7 
7 

7 
8 

8 


2359 
235i 
2343 
2335 
2326 

23i8 
23 10 

23o2 
2293 
2285 


2277 
2269 
2260 

2252 

3244 


2335 

3227 
2219 

22II 
2202 


2194 
2186 
2177 
3169 
3l6l 

2  I  52 
2144 

2i36 
2127 
2119 

2111 
2102 
2094 
2086 

2077 


2069 
2060 

2052 
2044 

2o35 


2027 
2018 
2010 
2002 

1985 
1976 
1968 
1959 
1951 


27 


cot.  !  d. 


7IOI 


in.  I 


tiin. 


8143 


100 


•!o«ec 


d. 


1943 
1934 
1935 
1917 
1908 


1900 
1891 

i883 

1874 
1866 

i857 


145° 


sin.  I  d. 


9.9 


sin. 


50° 


9.7 


4756 
4775 
4794 
48i3 
483 1 

485o 
4868 
4887 
4906 
4934 


copec 


4943 
4961 
4980 

4999 
5017 


10.2 

5344 

5225 

5306 
5i88 
5169 


tan. 


9.8 


5i5o 
5i32 
5ii3 
5094 

5076 


5o57 
3  .5o39 
4 
4 


2899 
2926 
2953 
2980 
3oo8 


d. 


cot. 


5o36 
5o54 
5073 
5091 
5iio 

5II28 

5i47 
5i65 
5 1 84 
5202 

5221 
5239 

5258 
5276 
5294 

5373. 
533i 
535o 
5368 


5020 

5ooi 
4983 

514964 
54946 

5  4927 

6  4909 

6!489o34i5 
64872 


3o35 
3062 
3089 
3li7 
3i44 
3171 
3198 

3225 
3252 

3280 

33o7 
3334 
336i 
3388 


10.1 


7101 
7074 

7047 
7020 
216992 

2  6965 
3|6938 
3j69i  I 
46883 


sec. 


4853 
4835 
4816 
4798 


8 
8 
8 

9 
_9 

9 

9 

10 

10 


4779 
4761 

4742 
4724 
4706 


5386  10 

54o5  1 1 

5423  II 

5441 

5459 

5478 

5496 

55i4 

5533 

555i 

5569 


5587 
56o5 
5624 
5642 
566o 


12 
i3 
i3 
i3 
i3 


4687 
4669 
465o 
4632 
46i4 
4595 

4577 
4559 

4541 

4523 


3442 

3470 
3497 
3524 

355 1 


8i85 

8194 

8202 

82 1 1 

4|6856  82i9 


10.0 

8143 
8i5i 
8i6o 
8168 
8177 


d. 


5  6829*8228 


56802 

56775 
6;6748 
66720 


76693 
7;6666 
8,6639 
86612 
96585 


3578 
36o5 
?632 
3659 
3686 


96558 

96530 

ioj65o3 

106476 

1 1  6449 


8237 
8345 
8254 
8262 

8271 
8280 
8288 
8297 
83o5 


o 
o 
o 
o 
I 

I 
I 

I 
I 
1 

I 

2 
2 
2 
2 

2 
2 
2 
3 
3 


COH. 


9.9 


1 


i857 
1849 
i84o 
i832 
1823 


45o4 
4486 
4467 
4449 
443 1 


3713 
3740 
3768 
3795 

3822 


14 

i4 
i4 
i5 
15 

5678  1 5 
56961x6 
5714J16 
5733ji6 

5751  17 

5769JI7 
17 

17 
18 
18 
18 


5787 
58o5 
5823 
584 1 
5859 


44i3 
4395 

4376J4173 
4358  4200 


3849 
3876 
3903 
3930 
3957 

3984 
4oii 
4o38 
4fj65 
4092 

4119 
4i46 


1116422 
12,6395 
1 216368 
1 3  634 1 
i363i4 

14628^ 
i4|626o 
146232 
i5|62o5 

15:6178 


83i4 
8323 
833 1 
834o 
8349 


8357 
8366 
8375 
8383 
8392 


i66i5i 
166124 

i7|6o97 
1716070 
^6043 

i86o76 
5989 
5962 
5935 
5908 


84oi 
8409 
84i8 

8437 
8435 


18 

»9 

'9 
20 


4340 


4227 


4322 

43o4 


4254 
4280 


42864307 

4267I4334 
4249  436 1 


20 
21 
21 
22 
22 


8444 
8453 
8463 
8470 
8479 


33 
33 
33 

34 
34 


9.7 


COS. 


433 1 '4388 
43i3  44i5 
4195  4442 
41774469 
41594496 


4i4i 


10.2 


(1.  sec. 


4533 


9.8 


cot. 


35 
25 

26 
26 

27 

27 


588 1 
5854 
5827 
58oo 

5773 

5746 
5730 
5693 
5666 
5639 


8488 
8496 
85o5 
85i4 
8533 


853 1 
854o 

8549 
8558 

8567 


56]  2 
5585 
5558 
553 1 
55o4 
5477 


10  I 


8575 
8584 
8593 
8602 
86u 

8619 
8638 
8637 
8646 
8655I 
8664 
in.o 


3 
3 
3 
3 
3 

4 
4 
4 
4 
4 

4 
4 
5 
5 
5 

5 
5 
5 
5 
6 

6 
6 
6 
6 

6 


181 5 
1806 
1798 
1789 
1781 


60 

5 

5 

57 
56 


1772 
1763 
1755 
1746 
1738 


1729 
1720 
1712 
1703 
1695 


55 
54 
53 

52 

5i 

5o 

49 
48 

47 

46 


1686 
1677 
1669 
1660 
i65i 


45 
44 
43 
43 
4i 


1643 
1634 
1625 
1617 

1608 


40 

^9 
38 

37 
36 


1599 
159 
1 583 
1573 
1565 


1 556 

1 547 
1 538 
i53o 

l53I 


35 
34 
33 

33 

3i 


3o 
3 

3 

27 

26 


tan. 


rosec 


124° 


l5l2 

i5o4 

1495 

i486 

1477 

1469 

1460 

i45i 

1443 

1433 


35 

24 

33 
23 
31 

20 

'2 

18 

17 
16 


1435 

i4i6 
1 407 
1398 
1 38 


i5 
14 
i3 
12 
II 


10 

9 
8 

7 
6 


i38i 
1372 
1 363 
i354 
1 345 
1 336 

9.9" 
d.  sin. 


^_0 

5 


55° 


4 
3 
2 
I 
o 


AA^ 


318 


tOOAHITHMIC    SINES,    TANGENTS,    &C. 


3y 


IW 


sm. 


5877 
5895 
5913 
593 


59t>7| 


0' 

I 
% 

Jr 

1 

5 
6 

7 
8 

1 
10 

11 

12 

1 3 

i5 16129 
16  6 1 46 


4 

o 
o 


ctMec 


10. 


tan. 

'"nuT 


furyv 


4l4l 

4 1 23 

4io5 

14087 

1 14069 

i[4<>5t 

2  4*'33 
4<>i5 

3997 
3979 

3  3c/i 

33943 
4:3925 


4523 
455o 
4576 
46<>3 
o 


4     cot. 


10.1 


o 


o'5477 
545o 

I  5424 

5.397 
5370 


nee.  \  d. 

lOj 


17 
18 

19 
30 
21 
22 
23 
24 

i5 
36 

27 
28 
39 


(>075 

6093 j  4(3907 

61  III  4! 3889 

4J3,^ 

5  3854 
5138 
5t38i8 
6!38oo 

63782 


4657 
4684 

4711 
4733 
4764 

1-91 
48 1 8 

4845 
4873 
4H99 


2  5343 

3  53i6 

3lS-i898726 


8ftJ4 
8672 
8681 
8690 

87t)8 
8717 


4:5262 
4  5^36 


6164 
6183 

630C> 


62  i  8 


3o 
3i 

33 

34 

35 
36 
37 
38 

,?9 
4o 

4i 
42 
43 

44 

45 
46 
47 

48 

1? 
5o 
5i 

53 

53 
54 


6253 

6271 
6289 

63o7 
6324 
6342 
636o 
6378 


6395 
64i3 
643 1 
6448 

6466 

6484 
65oi 

65i9 
6537 

6554 


3764 

3747 

3729 

3711 

7 1 369 3 
8  3676 
8l3558 


4  52t>9 
55182 
55i55 

6;  5 1 28 
6  5ioi 


4925 
4952 

49791 

5(KJO' 

5o33 

5o59' 
5o86 
5ii3 
5i4o 
5i66 

5193 

5ii<) 
5247 


8734 
8743 


8752 
8761 

8770 

B779 
8788 


8':364o|5273 
9J3622  53oo| 


55 
56 

57 
58 
59 
60 


6572 
6590 
6607 
6635 
6641 

6660 
6677 
6695 
6712 

6730 

6747 
6765 
6783 
6800 

6817 


9  36o5 
9  3587 
3569 
3552 

3534' 

35i6 
3499 
3481 
3463 

3446 

3428 
3410 


9 
10 

10 

10 
II 
11 
11 

12 


i3 
i3 


i3 
i4 
1 4 
14 


12 
12 

12  3393 
"  3375 

3358 

3340 
3323 
33o5 
3288 


1 4  3270 

1 5  3353 
i5  3a35 
1 5  3218 
163200 
16;  3  f  83 


5327 
5354; 
538.1 

5  f  07 

5434 

546<> 
5487' 
55i4 

5540 
5567 

5594 
56';<) 

5647 
5674 
57«x> 

5727 

5754 
5780 

58o7 
5834 


6835  (6  3.65 


685^;  17 
6870,17 

6887' 17 

6904,17 
6922  18 


9.7 


5" 


7[5o75 

7  5o48 

8  5o2i 
8  4994 
8I4967 

9494^ 
9*49(4 
4887 
4860 
4834 

4807 
4780 
4753 

,4727 
314700 

3  46^ 
4' 4646 
4' 4620 
5I4593 

5  4566 

6 


6 


8797 

8806 
88(5 
8824 

8833 

8843 
885 1 
8859 
8868 

8877 

8886 
8895 
904 
8913 
892  a 

89I7 
89^0 

8949 
8958 

8967 


COS. 


9.9 


45i3 
6|4486 

74460 
74433 


45408977 


8986 
8995 
9004 
9013 


84406 
8l438o 
4353 
4326 
43oo 


9 

9 

30 

20 
20 
21 
21 
22 


4273 
4246 
4220 
4193 
4i66 


3 1 48 
3i3o 
3ii3 
3096 
3078 


sec. 


586r) 
5887 
5913 
5940 
5967 

5993 
6020 

6o46 
6o73| 
6100 
6126 


9022 
gci'ii 
9040 
9049 
9058 


9<:)67 
9076 
9085 

9^>94 
9104 


22|4i4o 
23|4ii3 

2314087 
244060 
24  4o33 


91 1 3 

9123 

913 

9140 

9149 


'.».'* 


cot 


24, 4007 
35  3980 

253954 

26  3927 
363900 

3874 


27 


10  1 


tan 


91 58 
9168 

9177 
9186 
9195 
9204 

mo 


o 
o 
o 
o 
1 

1 
I 
I 

I 
I 

3 
2 
3 
3 
3 

3 

2 
3 

3 
3 

3 
3 
3 

3 

4 
4 

4 
4 
4 
5 
5 
5 
5 
5 

5 
5 
6 
6 
6 

6 
6 
6 
6 

7 

7 
7 
7 
7 
7 
8 
8 
8 
8 
8 

8 
8 

9 
9 
9 
9 


1 336 
1 338 
i3i9 
i3io 
i3oi 


1292 
1283 

1374 
1266 

1257 

1248 
1239 

I33o 

1321 
I2I3 


I203 

1 194 
ii85 
1176 
1 167 


30  3 


143' 


II 58 
1149 
(i4i 

1(32 
1123 


11(4 
I  io5 
1 096 
1087 
1078 

1069 
1060 
io5i 
1043 
io33 


I023 

ioi4 
ioo5 
0996 
0987 


0978 
0969 
0960 
t)95i 
0943 


0933 
0924 
0915 
0906 
0896 


0887 
0878 
0869 
0860 
o85i 


9.9 


otec  d.  lin. 


0842 
o833 
0833 
o8i4 
080  5 
0796 


64« 


•in. 


9.7 


6922 
6939 
6957 

6974 
6991 


7(X)9 
7026 
7043 
7061 

7078 


d.  icotec 


IU.2 


t*n 


9.?* 


30786126 
3<:>6i'6i53 

30436179 
30266306 
3009  6333 


7095 

7113 
7i3o 

7(47 
7164 


7181 
7199 
7316 
7333 

7250 


7268 
7385 
73o2 
7319 
7336 


7353 

7370 
7387 
74o5 
7423 


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0787 
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0750 
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SINES,  TANGENTS, 

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319 

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tan.  d. 

9.8 

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9229  2 
9255  2 
9281  2 

cot. 
10.1 

3  2289 
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1  2210 

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2  2l57 

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4  2052 

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1  1006 

20980 

20954 
3  0927 
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40849 
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60745 
60719 

10. 1 
I.  tan. 

sec. 

10.0* 

9765 
9775 
9784 
9794 
9803 

9813 
9822 
9832 

9841 
985  [ 

9861 
9870 
9880 

9889 
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9732 
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8950 

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9731 
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4 
4 
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5 
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7 
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_9 

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10 

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9281 
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10.  I* 

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9473 

9447 
9422 
9396 

9370 

9344 
9318 

9292 
9266 
9241 
9215 
9189 
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lO.O* 
tan. 

sec. 
10. 1 

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1868 
1893 

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1945 

1971 


1 3  8390 
1 318364 
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i4i83i3 
158287 


13 

1 5 
16 
16 

17 

17 
18 


11  9430 

12  94o5 
12.9390 
12J9375 
13*9359 


1996 

3o48 
2073 
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0746 
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60  0807 

cow. 
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1 319344 
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9399 
9284 
9369 
9254 
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9333 
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9193 


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8361 
8235 
8209 
8184 
81^ 

8i33 
8107 

188081 
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2135 
2!5o 

2176 
2202 

2227 


2  253 

2279 
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3356 
238i 

9^ 
cot. 


19 

20 
20 
2t 
21 

21 
32 

22 
23 
23 

34 
24 

24 

35 
25 

26 


8oo4 
7978 
7952 
7937 
7901 


1207 
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1228 
1239 
1249 


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38886 

38875 

38865 
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3  8844 
8834 
8824 
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1359 

137^' 

1280 
1291 
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1 364 
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5J8730 

68730 

6 

6 

6 
6 
6 

7 


7824 

7798 

7773 


7747 

7721 

7696 
7670 
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10.0 

tan. 


1490 
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l522 

1 532 
1 543 
1 553 
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7619  1575 


10.1 


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130 


10 
10 
10 
10 
10 
10 


8709 
8699 

8688 
8678 
8668 
8657 
8647 


8636 
8626 
86f5 
86o5 
8594 


8584 
8573 
8563 
8552 
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853 1 

8531 

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9{8499 

9  8489 


8478 
8468 
8457 

8447 
8436 
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08  3- 
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0927 
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1017 


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0  9163 
9148 
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91 18 
9103 
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tan. 

2  38 1 

2407 

3433 

3458 

3484 

25 10 

2535 

256i 

2587 

2613 


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io47 
1061 

1076 
1091 


1106 
1121 
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1166 


1180 
1195 
1 3 10 

1235 

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1354 
1269 
1384 

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1 402 

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3 
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3 

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6 
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7 

7 

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9 

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9 
10 

ID 
10 
10 


9043 
9038 
9013 
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8983 


8968 

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8939 
8934 
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2638 
3663 
368q 

371 
2740 


2766 
3793 
3817 
2843 
2868 


8894 

8879 
8864 

8849 
8834 

88x1 
88o5 
8790 
8775 
8760 


8746 
8731 
8716 

8701 
8686 


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1 549  i » 
1563113 
1578  i3 
1592 

1607 


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3073 
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3 1 24 


8672 

8657 
8642 
8638 
861 

8598 
8583 
8569 
8554 
8539 

8525 
85i 
8495 
848 1 
8466 


845 1 
8437 

8423 

84o8 
8393 


3894 
3920 
3945 

3971 

2996 


cot. 


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7619 
759J 
7567 
7543 
75i6 

74^ 
7465 
743 
74 1 3 
7388 


sec. 


I  d. 


HI.  I 


575 

585 
596 
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617 


7362 

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73 1 1 
7285 
7260 


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638 
638 
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670 


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3227 

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3457 
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3559 
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3636 


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3712 
3738 
3763 

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8378 
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8349  384o 


1680 
1694 

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CCM. 


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8320 
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sec. 


389 
3916 

cot. 


7106 
7080 

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07029 
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6978 

6952 
6927 
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9 
20 

20 

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31 

21 
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68 

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702 

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8398 

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8376 


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60 

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57 

56 

54 
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788 
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971 
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3069 
3080 
2091 
2102 


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2167 
2178 
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6084  3232 


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4  81 58 
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58126 
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68094 
68o83 
618072 
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6 
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44 
43 
42 

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39 
38 

37 
36 


35 

34 
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32 

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7833 

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27 
26 

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23 
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20 

19 
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6 

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LOdABITRMIC 

SINKS,  TANGENTS, 

<&( 

B. 

S 

m 

4io                    138° 

430                        1370 

sin. 

d. 

C08«C 

tan. 

d. 

cot. 

sec 

d. 

COS. 

sin. 

d. 

cosec 

tan. 

d. 

COL 

sec. 

d. 

cos. 

1 

y.8 

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9.9 

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9.9 

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0 

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7435 

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2 

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18 

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cosec 

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6966 

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25 
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3o34  3587 
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13 

d. 

64t3 
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sin. 

0 

1 

10.1 
sec. 

9.4 

cot. 

sec.  cot. 

131°                    4S° 

1330                                  470 

41 


0i 


LOGARITHMIC     SINES,     TANGENTS 


&iC. 


o 
I 

2 

3 

_4 

5 
6 

7 
8 

_? 
lo 
II 

12 

i3 
i4 

i3 
i6 

17 
i8 

!? 

30 
21 
22 
23 

24 
25 
26 

27 

28 

29 

3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

4^ 
4i 
42 

43 
44 


43^ 


136° 


•in.  d.  |CO!!>«>c  tan. 


9^ 

3378 
3392 
34o5 

3432 


3446 
3450 
3473 
34B6 
35oo 


45 
46 
47 

m 
4? 

5o 
5i 

52 

53 
54 


55 
56 

57 
58 

59 
60 


35i3 

3527 
3540 
3554 

3567 


10.1 
0J6622 
06608 
06595 
658 1 
6568 


6554 
654i 
6527 

65i4 
65oo 


3  58 1 
3594 

36o8 
3621 
3631 


3648 
366 1 

3674 
3688 
3701 


3715 

3728 

374 » 
3755 

3768 


3781 

3795 
38o8 
3321 
3834 


3848 
386i 
3874 
3887 
3901 


6487 
6473 
6460 

4 
6433 


6419 
6io6 
6392 
6379 
6366 


9.9 


69()6 

699 

7016 

7042 
7067 


7092 
7118 
7143 
7168 
7193 


7219 

7244 

7269 

6446)7295 

7320 

7I45 
7371 
7396 
7421 
7447 


635^ 
6339 
6326 
63 1 2 


6299  7573 


6285 
6272 
6259 
6245 
6232 


7 
7 
7 
7 
8 

1 
8 
8 
8 

9 


6219 
6205 
6192 

6179 
6166 


3914 
3927 

3940 
3954 

39571 

3980 
3993 

4o«»6 

40^3 


4o46 
4(»59 
4072 
4fj85 
4098 

4i  12 

4 1  25 

4 1 38 
4i5i 
4r64 

4l_77 
"9£_ 
cm. 


96073 

96061 
06046 
o  60  3  3 


7472 
7497 
752  3 

7548 


7595 

:'624 

7649 

7674 

770r» 


6 1 52 
6139 
6126 
6ii3 
6099 

6086  7  97  8 


7725 
7750 
7776 
7801 
7826 

785 

78-'7 

7902 

7927 
7953 


6020 
6007 
5994 

5980 
5967 

5954 

594 

5928 

5915 

5902 


d. 


8tK)3 
B029 
8o54 
8079 

8io4 
8i3o 
8 1 55 
8180 
8006 


o 
o 
I 
I 

2 
2 

3 
3 
3 

4 

"4 
5 
5 
5 
6 

~6 

7 
7 
8 
8 


cot. 


10.0 


3o34 
3009 
2984 
2958 
2933 


2908 

2882 
2857 

2832 

2807 


823 

8256 
8281 

83o7 
8332 


5888,8357 
58758383 
5862  84oR 
58498433 
5836,8458 
582  3  8484 


10.1 


sec. 


93_ 
cot. 


8 
8 

9 

9 
20 

20 

21 

21 
22 
22 

92 
23 

^ 
24 
24 
24 

25 
25 


2781 
2756 
2731 
2705 
2680 


2655 
2629 
26ii4 
2579 


iSt^C* 


10.1 


3587 
3599 
36ii 
3623 
3634 

3646 
3658 
3670 
3682 
3694 


3705 

3717 
3729 

3741 
3753 

3765 

3777 

3789 

38oo 

2553  38 1 2 


(I.   CtlX. 


9.8 


064 1 3 
o64oi 
6389 
6377 
6366 


6354 
6342 
633o 

63i8 
2  63o6 


2528 
25o3 

2477 
2452 
2427 


240? 
2376 
235i 
2326 
23oo 


2275 

225o 
2224 
21 

2174 


99  398 


? 


2l4 
212 
2098 

2073 
2<)47 


2022 

'997 
1971 

(946 

r92 


.896 
1870 
1845 
1820 
IJ94 
1769 
1744 

1693 
1668 


1643 

I6I7 
1592 
1 567 
1 542 
i5i6 

ITiTt" 


tan. 


3824 
3836 
3848 
386o 
3872 


3884 
3896 
3908 
3920 
3932 

3^ 
3956 
3968 
o 

^99^ 

4oo4 
4016 
4028 
4o4o 
4o52 


4o64 
4076 
4088 
4 1 00 
4i  12 


4124 
4r36 
4i49 
4i6r 
4173 


4i85 

4197 
4209 
4221 
4234 


6295 
6283 
6271 
6259 

6247 

— I  — . — 

316235 
3J6223 
3j62ii 
4|62oo 

4|6i88 

,46176 


44° 


135° 


6164 
6i52 
6r4o 
6128 

6n6 
6104 
6092 
6080 
6068 


6o56 

6044 
6o32 
6020 
6008 

5996 
5984 
5972 
5960 
59 18 


4246 
4258 
4270 
4282 
4594 
4307 


M.l 


COitnc 


8 
8 
8 

9 

_? 

9 

9 

9 

10 

10 

10 
10 

ID 
1  1 

n 

II 
II 
1 1 
12 
12 
12 


5936 
5924 
5912 
5900 
5888 

58^ 
5864 
585 1 
5839 
5827 

58T5 
58o3 
5791 
5779 
5766 

5"^ 
5742 
5730 
5718 
5706 
5693 


9.H 


1390 


i.     ""in. 


40° 


aid.    d.  cowf   tan.     <1.    cot.     sec.    d.    cus. 


9.8 


4177 

4190 
42o3 
4a  16 
4229 


4242 
4255 
4269 

4282 
4295 


43o8 
4321 
4334 
4347 

436<> 


10.1 


5823 
58 10 

5797 
5784 

5771 


5758 
5745 
5731 
5718 

5705 


5692 
5679 

5666 
3j5653 

3  5640 


4373 
4385 
4398 
44ii 
4424 


4437 
445o 
4463 
4476 
4489 


45o2 
45i5 
4528 
4540 
4553 


4566 

4579 
4592 
46o5 
4618 


46  3o 
4643 
4656 
4669 
4682 


4694 

4707 
4720 

4733 

4745 


4758 

477' 
4784 

4796 
4809 


4822 
4835 

4847 
4860 
4873 


315627 
3|56i5 

4  56o2 
45589 
_4  5576 

"4 


9.9 


8484 
8  509 
8534 
856o 
8585 


8610 
8635 
8661 
8686 
8711 


8737 
8762 
8787 
8812 
8838 


8863 
8888 
8913 
8939 
8964 


4885 
4898 
4911 
4923 
4936 
4949 

9.R 


9 

9 

9 

9 

_? 

10 

10 

10 

10 

1 1 

II 
II 
II 
II 
12 

12 
12 
12 
12 
i3 


5563 
555o 
553? 
5524 
55i  I 


8989 
9015 
9040 
9065 
9090 


549.^ 
5485 
5473 
5460 
5447 


91 16 

9'4i; 

9166 

9191 

9217 


5434 
5421 
5408 
5395 
5382 


9242j 

9267 
9293 
9318 
9343 


5370 

5357 

5344 

533 

53i8 


53c)6 
5293 
528c 
5267 
5255 


524"' 

522Q 

5216 
5  204 
5191 

5178 
5i65 
5i53 
5i4o 
5 1 27 


10.0 


i5i6 
1491 
1466 
i44o 
i4i5 


1390 
1 365 
1339 

i3i4 
12 " 


1263 
1238 

12l3 

1188 

1 162 


II 37 

II  12 

1087 
1061 

8  io36 


10.1 


4307 
4319 
433i 
4343 
4355 


8944 


4368 
438o 
4392 

44o4 

17 


4429 
4441 
4453 

4466 
4478 


4490 
45o3 
45i5 
4527 
454o 


9368 
9394 
9419 
9444 
9469 


9495 
9520 
9545| 

957' •! 
9596 


962 1  j 
9646 
9672; 
9697 
9722 


lOI  I 

0985 

0960 
0935 
0910 


0884 

i|o859 
o834 
0809 
0783 


9747 
9773 
979B 
9823 
9848 


5i  i5 

5l02 

5089 
5o77 
5o64 
i3  5o5i 


10.1 


9874 
9899 
9924 
994q 
9975 
fen 


9.9 


3 
3 
3 

4 
4 

5 
5 
6 
6 
6 

7 
7 
8 
8 

9 

9 

9 

20 

20 
21 

2! 
21 
22 
22 
23 

^ 
24 
24 
24 
25 
25 


0758 
0733 
0707 

0682 

o657 


o632 
1606 
o58i 
o556 
o53i 

o5c)5 
o48o 
0455 
o43o 
o4o4 


0379 
o354 
o328 
o3o3 
0278 

0253 
0227 
0202 

0177 

Ol52 


0126 
oroi 

0076 
oo5i 
002  5 
0000 


lo.o 


4552 
4564 

4577 
4589 
4601 


46i4 
4626 
4639 
465 1 
4663 


4676 
4688 
4701 
47i3 
4726 


4738 
475o 
4763 

4775 
4788 


4800 
48 1 3 
4825 
4838 
485o 


4863 
4875 
4888 
4900 
4913 


4926 
4938 
4951 
4963 
4976 


4988 
5ooi 

5ot4 
5026 
5o39 
5o5i 


9.8 


5693 
568 1 
5669 
5657 
5645 


5632 
5620 
56o8 
5596 

5583 


5571 
5559 

5547 
5534 

5532 


55io 

549^ 

5485 

5473 
5460 


5448 
5436 
5423 
54j  1 
5399 


5 
5 
6 
6 
_6 

6 
6 

7 
7 

_7 

7 

7 
8 
8 
8 

"8 
8 

9 

9 

_9 

9 
10 

10 

10 

10 


5386 
5374 
536i 
5349 
5337 


5324 
53i2 
5299 
5287 
5274 


10 
n 
1 1 
II 
II 


10.1 


II 
12 
12 
12 
12 
12 


5262 
525o 
5237 

5225 

5212 


5200 
5187 
5175 
5162 
5i5o 


5 1 37 
5 1 25 
5ri2 
5iofi 
5087 


5o74 
5o62 
5o49 
5o37 
5o24 


5oi2 

4999 
4986 

4974 

4961 

4949 


9.8 


row.  (i.  aec.     cot.  rl.  tan.  cosec  d.  Biru 


60 
59 

58 

57 
56 

55 
54 
53 

52 

5l 

5^ 

49 
48 

47 

46 

45 
44 
43 
42 
4i 

4o 
39 
38 

37 
36 

35 
34 
33 

32 

3i 

3o 
29 

28 

27 
26 

25 

24 

23 
22 
21 

20 

'9 
18 

17 
16 

i5 
i4 
i3 
12 
I  i 

10 

9 

8 

7 
6 

~5 
4 
3 
2 
1 
o 


TRAVERSE    TABLE, 


OE 


TABLE 


OP 


I 


DIFFERENCE   OF   LATITUDE 


AND 


-ar 


DEPARTURE. 


t 


«4 


TRAVEaSE  TABLE. 


Course 


pwintn     dug: 


I 


I 


li 


fainu     deg. 


0^ 
l5' 
3o' 
45' 

1° 
1 5' 
3o' 
45' 

2° 
1 5' 
3o' 
45' 

30 

15' 
3o' 

45' 

40 

15* 

3o' 
45' 

5"- 
i5' 
3o' 

45' 
6P 
1 5' 
3o' 
45 

1 5' 

3o' 
45' 

go 
l5' 

3o' 
45' 
90 

1 5' 

3o' 

45' 

100 

1 5' 
3o' 
45' 

no 

1 5' 
3o' 
45' 

3o' 
45' 
13° 
iV 
30* 
45' 

1 5' 

45' 
15«» 


Dtst.  1 


diC  ]«t.  I     dep. 


I  .ooouo  0.00000 
oo436 
00873 
oi3oo 
0.01745 
oai8i 
oa6i8 
o3o54 


0.99999 
99996 
99991 

0.99965 
99976 
99966 

9'J953 

0.999390.03491. 
999i3j  03926 
99905,  04362 
99885  04798 

0.998800.04907 

0.998630.05234 
99839!  05669 
99813  061 o5 
99786]  o654o 

0.997550.06976 


997-«5 

995?' 
99557 

0.99619 
99580 
99540 

0.99518 

9949^ 
0.99452 
99406 
99I57 
99307 
0.99255 
99200 
99144 
99087 
0.99027 
9S965 


074 1 
0784  -' 


Dist.  2 


08281 
0.08716 

09150 

09535 
0.09802 

10019 
0.10453 

10887 

Il320 

11754 
0.12187 
1 2620 
i3o'i^ 
1 3485 
0.13917 

14349 
0.989180.14673 
98902     1478 1 
98836    1 52 1 2 
0987690.15643 
98700    16074 


98629 
$8556 

0.98481 
98404 
98325 
98245 

0.98163 

0.98079 
9799. 
9790  S 

0.97815 
97723 
9763o 
97534 

0.97437 
97333 
97237 
97134 

0.97030 

0.97003 

x^ 

96705 
0.96593 


Course 


i65o 

16935 

0.17355 

17794 
18234 

1 8652 

0.19081 

0.19509 

mil 

ao364 

0.20791 

21218 

a  1644 
22070 

0.22495 
22920 
a3345 
23769 

0.2419a 

0.34298 
3461 5 
a5o38 
25460 

o.a588a 


dep. 


di£  lat.  I     dep. 

2.00000 
1.99998 

99903 

99983 
1.99970 

99952 
99931 

99907 

1.99878 

99846 

99810 

99770 
1.99759 
1.99726 

99678 

99627 

9957a 
1.99513 

.99450 

99383 

993 1 3 
1.99239 

99161 

99079 
1.99037 

98994 
1 .93964 

9881 1 

98714 

98614 
1 .98509 

98401 

98289 

98173 

1.98054 
97930 

1.97835 

97803 

97672 
1 .97538 

97309 

97257 

97111 
1.96962 

96808 

96651 

96490 
1.96325 
1.96157 

95985 

95^09 
1.95530 

95446 

95359 

95068 
1.94874 

94676 

94474 

94268 
1 .94059 
1.94006 

93846 

9363o 

93409 


Dist.  3 


diOitr 


dif.  lat. 


Dist.  I 


O.OOIMM) 

00873 
01745 
02618 

0.03490 
o4363 
o5a35 
06108 

0.06980 
0785a 
08724 
09596 

0.09814 

0.10467 
1 1339 
laaio 
i3o8i 

o.i3q5i 
i48a3 
15692 
16562 

0.1743 1 
i83oo 
19159 

o.  1 9603 
30fi38 

0.20906 
21773 
33641 
235o7 

0.24374 
35240 
a6io5 
26970 

0.27835 
38699 

0.39346 
39563 
3o425 

0.31187 
33149 
33oio 
33870 

0.34730 
35589 
36447 
373o5 

o.38i6a 

0.39018 
39874 
40728 

0.4 1 583 
42436 
43388 
44139 

0.44990 
45840 
46689 
47537 

0.48384 


3.00000 

3.99997 

99989 

99974 
399954 

9 


2.99817 

99769 

997'4 
99655 

3.99639 

3.99580 
99518 
99440 
99358 

2.99269 
99175 
99075 
98970 

2.98858 
98741 
98619 

2.98555 
98491 

2.98357 
98217 
98072 
97921 

2.97764 
97601 
97433 
97260 

2.97080 
96895 

2.96753 
96705 
96508 

2.96307 

95886 
95667 

2.95443 
95312 
94976 
94735 

2.94488 
94235 
93977 
93714 

3.93444 
93169 
93880 
9360J 

3.92311 
93014 
91711 
9i4o3 

a.91089 


0.00000  4.00000 

01 309 

03618 

03937 
o.o5a36 

06544 
07853 
09163 


dep. 


Dili.  4 


di£  lat. 


o.io47o|3.99756 
99693 
99619 
99539 
.99518 

3.99453 
99357 
99254 
99144 

3.99036 
98900 

98767 
98626 

3.98478 
98322 

98158 

3.98074 

97987 


d«p. 


11778 

i3o86 

14393 
0.14720  3.995 
0.15701  ~ 

17008 

i83i5 

19621 
0.20927 

33233 

3353H 

34842 

o.a6i47 
27450 

0.39405 
3oo56 
o.3i359  3.978<i9 


0.48596  3.91009 


493  J I 

50076 

50920 

1.931850.51764 


dep.  I  dif.  lat. 


Dif>t.  'i 


90769 
90444 
90114 


3266< 
33961 
35  261 

0.3656 1 
37860 
39158 
40455 

0.41759 
43o48 

0.44019 
44343 
45637 

0.46930 
48223 

49514 
5o8o5 

0.5209.4 
53383 
54671 
55957 

0.57243 

0.58527 
59810 
61093 

0.62374 
63653 
64932 
66209 

0.67485 
68760 
70034 
7i3o6 

0.73577 

0.72894 
73846 

75ii4 
76381 


Course 


deg. 


97623 
97439 
97337 

3.97018 
96803 
96578 
96346 

3.96107 
95861 

3.95671 
95606 
95345 

3.95075 

94799 
945i4 
94333 

3.93933 
93616 
93302 
92980 

3.92651 

3.92314 
91970 
91618 

3.91259 
90892 
9o5i8 
90137 

3.8^748 
89352 
88948 
88537 

3.88118 

3.8801 3 
87692 
87259 
86818 


0.00000 
01745 
03491 
o5a36 

0.06981 
08736 
10471 

I33l5 

0.13960 

15704 

17448 

19(9 

0.19627 

0.20934 

33677 

34419 
2616 

0.27903 

29643 

3 1 384 
33i23 

0.34862 
366oi 
38338 

0.39207 
40075 

0.4181 

43547 
45381 
47015 
0.48748 
5o48o 

53310 

53940 

0.55669 

57397 
0.58692 
59124 
60849 
0.62574 
54397 
66019 
67740 


3.8977810.77646  3.86370 


dep.     I  dif.  lat. 


Dist.  3 


defi. 


45' 

3o' 
1 5' 

45' 
3o' 
i5' 
88° 
45' 
3o' 
1 5' 

87© 

45' 
3o' 
i5' 

86° 
45' 
3o' 
1 5' 

85° 
45' 
3o' 

i5' 

84° 
45' 
3o' 
1 5' 

83° 
45' 
30* 
1 5' 

82° 
45' 

3o' 
i5' 

81° 
45' 
3o' 
i5f 


points 


8 


0.69459  80® 
45' 
3o' 
i5' 

79° 
45' 
3o' 
i5' 

78° 
45' 
3o' 
1 5' 

77° 
45' 
3o' 
i5' 


71177 
72894 
74610 

0.76334 
0.78035 

79747 
81457 
0.83 1 65 

84871 

86576 

88379 
0.89980 

91680 

93378 

95074 
0.96769  76° 
0.97192 
0.98461 

1.00l52 

01841 
1.03528 


dit.  lat. 


Dist.  4 


45' 
3o' 
1 5' 
75° 


7l 


74 


7l 


deg. 


m 


points 


Course 


T  R  A^  EBSE     TABLE. 


325 


Course 


points 


o 


li 


deg^ 
6° 

1 5 

3o 
45 

1° 
i5 
3o 
45 

2° 
i5 
3o 
45 

30 

i5 
3o' 
45 

4° 
1 5 
3o 
45 

5° 
i5 
3o 

45 
6° 
i5 

3o 

45 

70 

i5 
3o 
45 
8° 
i5 

3o 
45 
9° 
i5 
3o 
45 

10° 
i5 
3o 
45 

IF 
i5 
3o 
45 

12° 
i5 
3o 
45 

13° 
i5 
3o 
45 

14° 

i5 
3o 
45 
150 


point* 


deg, 


Dist.  5 


dif  lat.     dep. 


5.0000 
5.0000 
4.9998 
9996 
4.9992 
9988 
9983 

9977 
4.9970 
9961 
9952 

9942 
4.9940 
4.9931 

9920 

4.9878 
9863 
9846 
9828 

4.9810 
9790 
9770 

4.9759 
9748 

4.9726 
9703 
9679 
9653 

4.9627 
9600 
9572 
9543 

4.9513 
9483 

4.9459 
945 1 
9418 

4.9384 
9350 

93i4 
9378 

4.9240 
9202 
9163 
9123 

4.9081 

4.9039 
8996 
8953 

4.8907 
8862 
88i5 
8767 

4.8719 
8669 
8618 
8567 

4.85 1 5 

4.85o2 
8462 
8407 
8352 

4.8296 


0.0000 
0218 
0435 
o654 

0.0873 
1091 
i3o9 
i527 

0.1745 
1963 
2181 

33 

0.34 

0.2617 
2835 
3o52 
3270 

0.3488 
3705 
3923 
4f4o 

0.4358 
4575 
4792 

0.4901 
5009 

0.5220 
5443 
565o 

5877 

0.6093 

63io 

6526 

6743 

0.6959 

7175 

0.7337 

7390 

7606 

0.7822 

8o37 

8252 

8467 

0.8682 

8897 

9112 

9326 

0-9540 

0.9755 

0.9968 

1.0182 

1.0396 

0609 

0822 

io35 

1.1248 

1 460 

1672 

i884 
1.2096 

I.2l4 
23o! 
3519 

373o 
1.3941 


dep. 


Course  |   Dist.  5 


dif.  lat. 


Dist.  6 


diC  lat. 


6.0000 

5.9999 

9998 

9995 

5.9991 

9986 

9979 

9972 

5.9963 

9954 

9943 

9931 

5.9928 

5.9918 

9904 

9888 

9872 

5.9854 

9835 

9815 

.9794 
3.9772 

9748 

9724 

5.9711 
9698 

5.9671 
9543 
9614 
9584 

5.9553 
9520 
9487 
9452 

5.9416 
9379 

5.9351 
9341 
9302 

5.9261 
9330 
9177 
9133 

5.9088 
9042 
6995 

8947 
5.8898 

5-8847 
8795 
8743 

5.8689 
8634 
8578 
8521 

5.8462 
84o3 
8342 
8381 

5.8218 

5.8203 
8i54 
8089 
8023 

5.7955 


dep. 


0.0000 
0262 
o524 
0785 

0.1047 
1 309 
157I 

i832 
0.2094 
3356 
3617 
2879 
0.2944 
0.3 1 4o 
3402 
3663 
3924 
0.4- 85 

4447 
4708 
4968 

0.5229 
5490 
5751 

0.5881 
6011 

0.6272 
6532 

6792 
7053 

0.7312 
7573 
7832 
8091 

o.835o 
85io 


8869 

9127 

0.9386 

9645 

0.9903 

1.0161 

1.0419 

0677 

0934 

1191 

I. 1449 

1.1705 
1962 
2219 

1.2475 
2731 
2986 
3242 

1.34 

37 
4007 

4261 
i.45i5 
1.4579 

4769 

5o23 

5276 

1.5529 


Dist.  7 


diClaUi  dep. 


7.0000 
6.9999 

9997 
9994 

6.9?S9 
9983 
9976 
9967 

6.9957 
9946 
9933 

,9919 
6.9916 

6.9904 

9887 
9869 
9850 
6.9829 
9808 

9784 
9760 

6.9734 
9706 
9678 

5.9653 
9548 

6.9617 

9584 
9550 
95i5 

6.9478 
9440 
9401 
9351 

6.9319 
9276 


0.8804  6.9243 


dep. 


9231 
9185 
6.9138 
9090 
9040 

8989 
6.8937 

8883 
8828 

8772 

6.8714 

6.8655 
8595 
8533 

5.8470 
84o5 
834 1 
8374 

6.8206 
8i37 
8066 

7994 
6.7921 

6.7902 

7846 

7770 

7693 

6.7615 


dif  lat. 


Dist.  6 


0.0000 
o3o5 
o5ii 
0916 

O.I233 

i537 
i833 
2i38 
3443 
3748 
3o53 
3358 

0.3435 

0.3664 
3968 
4373 
4578 

0.4883 
5i88 
5492 
5797 

0.6101 
64o5 
6709 

0.686  r 
701 3 

0.7317 
7631 

7924 
8338 

0.853I 
8834 
9137 
9440 

0.9743 

1.0044 
1.0371 

o347 

0649 

1 .0950 

1252 

1 553 
i854 
i.2i55 
2455 
3755 
3o57 

1.3357 
1.3556 
3955 
4255 
1.4554 
4852 
5i5i 

5449 

1.5747 

6044 

634i 

5638 

1 .6935 

1.7009 

723 1 

7527 
7832 

1.8117 


dep. 


dif.  lat 


Dist.  7 


Dist.  8 


dif.  lat.  I  dep. 


8.00000.0000 


7.9999 
9997 

999| 
7.9988 

9981 

9973 

9963 

7.9951 

9938 

9924 

9908 

7.9904 

7.9890 

9871 
985i 
9829 

7.9805 
9780 
9753 
9725 

7-9696 

9532 

7.9615 
9597 

7.9562 
9525 
9485 
9445 

7.9404 
9360 
93i5 
9269 

7.9221 
9172 

7.9134 
9121 
9069 

7.9015 
8960 
8903 

8844 

7.8785 

8723 

855o 

8596 

7.8530 

7.8453 

8394 

8324 

7.8252 

8178 

8104 

8027 

7.7950 

7870 

7790 

7707 
7.7624 
7.7603 
7538 
7452 
7354 


o349 
0698 

1047 
0.1396 

1745 
2094 
2443 
0.3792 

3i4i 
3490 
3838 
0.3925 
0.4187 
4535 
4884 

5232 

0.558I 
5929 
6277 
6525 

0.6972 
7320 
7668 

0.7841 
8oi5 

0.8352 
8709 
9055 
94o3 

0.9750 

1.0096 
0442 
0788 

I .  II 34 

1479 
I. 1738 

1825 

2170 

i.35i5 
2859 
3204 
3548 

1.3892 
4235 

4579 
4922 

1.5265 

1.5607 

5949 

6291 

1.6633 

6974 

73i5 

7555 

1.7996 

8336 

8676 

9015 

1.9354 

1.9438 


I. 


,9691 
2.oo3o 
o358 


7.727412.0706 


dep.  I  dif.  lat 


Dist.  8 


Dist.  9 


dif.  lat 


9.0000 
8.9999 

9997 
2 

8.'" 


9979 

9960 

9958 

8.9945 

9931 

9914 

9896 

8.9892 

8.9877 
9855 
9832 
9807 

8.9781 
9753 
9723 

8.9658 
9622 
9585 

8.9567 

9547 

8.9507 
9465 
9421 
9376 

8.9329 
9280 
9230 
9178 

8.9124 
9069 

8.9026 
9011 
8953 

8.8892 
883o 
8766 
8700 

8.8533 
8564 
8493 
8421 

8.8346 

8.8271 
8193 
8ii4 

8.8o33 

7951 
7867 
7781 
8.7693 
7604 
75i3 

7431 

8.7327 
8.73o3 
723 1 
7133 
7034 
8.6933 


dep. 


dep. 


0.0000 

0393 

0785 

1178 
0.1571 

1963 

2356 

2748 
o.3i4i 

3533 

3926 

4Ji8 
0.4416 
0.4710 

5l03 

5494 

5885 
0.6378 
6670 
7061 
7453 

0.7844 

8335 

8626 
0.8822 

9017 
0.9408 

0.97 
1. 01 88 

0578 
1.0968 

1 358 

X747 

2 1 37 

1.3526 

2914 
1.3206 

33o3 

3691 
1.4079 

4467 

4854 

5241 
1.5628 

6oi5 

64oi 

6787 
1.7173 
1.7558 

7943 

8338 
1. 871 2 

9096 

9480 
1.9863 
3.0346 

0638 

1010 

1393 
3.177376° 
2.1868 

21 54^  45' 

25341  3o' 

2914J  i5 
2.329475° 


Coarse 


deg. 


90° 
45' 
3o' 
i5' 

89° 
45 
3o' 
1 5' 

88° 
45' 
3o' 
1 5' 

87° 
45' 
3o 
1 5' 

86° 
45 
3o' 
1 5' 

80° 
45 
3o' 

1 5' 

84° 
45 
3o' 
i5' 

830 
45 
3o' 
1 5' 

82« 
45' 

3o' 
i5' 

81° 
45 
3o' 
i5 

80° 
45 
3o' 
1 5' 

79° 
45 
3o' 
1 5 

r78° 

45 
3o' 

i5 

770 

45' 
3o 
i5 


points 


8 


7l 


74 


7l 


»l 


61 


dif.  lat.|  deg.  |poiot8 


Dist.  9 


Course 


826 


TRAVERSE  TABLE. 


Course 


po<ifit« 


li 


i| 


ai 


ditg. 


i5' 
3o' 

45' 

1 5' 

45' 

1 5* 

3o' 

45' 

1 5' 

3o' 

45' 
ISF 
1 5' 
3o' 

45' 

3o' 

45' 

1 5' 
3o' 
45' 

1 5' 
3o' 
45' 

1 5' 

3o' 
45' 

i5' 
3o' 
45' 

25'"' 
1 5' 

3o' 

260 

1 5' 
3o' 
45' 

1 5' 
3o' 
45' 
23" 


Dist.  1 


dif.  lat. 


depk 


0.96593 
96479 
96363 
96246 

0.96126 
96005 
95882 
95757 


0.25882 
263o3 

26724 

27144 

0.27564 

27983 

28403 
28830 


Dtat.  2 


dif.  lat. 


0.95694,0.29028 


0.95630 
955o'> 

95372 
95340' 


0.29237 


1.93185 

92957 

92726 

92491 

1.92252 

92010 

91764 
9i5i4 


dep. 


0.51764 
52606 

53448 
54288 
0.55127 


DiKt.  3 


568o3 
57639 


liif.  Int.  j     dftp, 
2.89778'o.77646 


29654 

3i»7 1 
3o48C 


0.95  r  06  0.30902 


94970 

94H32 
9469I 

0.94553 
9i:io9| 


3t3i6 

3 1730 
32144 

|0'»J2337 
31969 


94>64j    3338 1 
0.941540.33689 
941' 8}    33792 


9i388b58o57 
1.91261I0.58474 


o 


.939690.34202 
93819  34612 
93667!  35o2i 
935 i4i  35429 
0-933580.35837 


93201 
93o4a 
92881 
0.92718 

995541 


36244 
3665o 
37o56 
0.37461 
37865 


0.923880.38268 
92a2o|  38671' 

0.920500. 39073 
91879  39474 
91700  39875 
91 51 1  [  40275 

0.913550.40674 
91176!  41072 
90996  41469 
90814  4 1 86(1 

0.90631  0.4226a 
9r>446|  42657 

0.903990.42756 
90259  43o5i 


90070 


43445 


0.898790.43837 


i5' 

30^ 
45' 

i5' 

45' 
30° 


points 


def. 


89687 

8949I 

892'98 
o  89101 
88902 
88701 
8849Q 
0,88295 


0.88192 

88089 

87882 

87673 
0.87462 

87250 

87036 

86820 
o.866o3j0.5booo 

deph     Idif.  lat. 


44229 
44620 

45oio 
045399 
45787 
46175 
4656 1 

0.46947 
0.47 !  4o 

47332 

47716 
48099 
0.4848 1 
48862 
49242 
49622 


0ist.  1 


9i(H>4 

90743 

90479 

i.9021 1 
89940 
89665 
89386 

[■89104 
88818 
885^8 

1 .88309 
88235 

1 .87939 
87638 
87334 
87027 

1.86716 
864oa 

86084 
85762 

1.85437 
85io8 
.84776 

8444^ 
I.84IOI 

83758 
83412 
83o62 

1.82709 
8a35a 
81992 
81629 

1 .8 1 262 
80891 

1 .8079S 
8o5i7 
8oi4o 

1.79750 
79375 
78987 
78596 

1. 78  20 1 
77803 
77402 
76998 

1.76590 

1-76384 
76178 
75763 
75345 

1 .74924 
74499 
74071 
7364o 

1.73205 


59308 
6<)i4i 
60973 

o.6i8o3 
69633 
6346 
64288 

o.65i  1 4 
65933 
6676 

0.67378 
67583 

o.684o4 
69223 
7004 1 
708  58 

0.71674 
72488 
733oo 
74111 

0.7492 1 
7573(^ 

C.76537 
77342 

0.78146 
78949 
79750 
80549 

0.81347 

82144 

82939 

83732 

0.84524 

851i4 

o.855ti 

86102 

86889 

0.87674 

88458 

89240 

90020 
0.9079*^ 

91575 

92350 

93123 
0.93894 

0-94279 
94664 
95432 
96198 

0.96902 
97734 
98485 

0.99343 


89436 
89089 
88737 

2.88379 
8801 5 
87646 
87271 

2. 87082 

a. 8689 
865o6 
861 15 
85719 

2.853 1 7 

84910 

84497 
84079 

2.83656 
83227 
82792 
82463 


^ 


dsp. 


dif.  lat 


Dtst.  2 


82353 
.8i9(^ 

81457 

8KI02 

8o54i 
2.80074 

796*  )2 
79125 
78643 

2.78155 
77662 

2.77164 
76660 

2.76151 

75637 
75118 
74593 

2.74064 
7352 
7298. 
72443 

2.71802 
71337 

2.71 197 
70776 
70209 

2.69638 
69069 
68480 
67894 

2.67302 
66705 
66io3 
65496 

2.64884 

2.64576 
64267 
63645 
63oi8 

2.62386 
61749 
61107 
60460 


i.oooooa.59808 


dep. 


7»9«9 
80172 

81432 

0.8269 

83949 

852o5 

86459 

0.87085 

0.87712 

88962 

9021a 

9145^ 

0.9970 

93949 

95r9i 

96432 

0.97670 

0.98907 

1. 001 49 

l.oif)67 
ot375 

1.09606 
o3835 
o5o62 
06287 

1.07510 
08731 
09950 
II 167 

1.12382 

13595 

i.t48o5 
i6oi3 

1.17219 
18423 
19625 
20824 

1. 2202 1 
23216 
a44o8 
a5S 

1.26785 
27971 

1.28267 
29153 
3o334 

i.3i5ti 
3268- 
33859 
35o3o 

1.36197 
37369 
38595 
39684 

1.4084 1 

i.4i4i9 
41996 

43i48 

44297 

1 .45443 

46586 

47727 
48865 
i.Soooo 


Ditt.  4 


dif.  lat.  {  dep 


3.86370 


1.03528 


dif.  lat 


Dist.  3 


85915 

85452 
84982 

3.845o5 
84020 
83528 
83o29 

3.82776 

3.83529 

82008 
81487 
80958 

3.8o4a3 
79880 
79329 
78772 

3.78207 
77636 
77057 

3.766  r  8 
76470 

3.75877 
75277 
74669 

74o54 
3.73439 

72803 

72167 

71524 

3.70874 

70216 

3.69559 

68880 

3.68902 

67516 

6682i 

66125 

3.654i8 
64705 
63985 
63957 

3.62593 
61789 

3.61596 
6io34 
60279 

3.59518 
58749 
57974 
57199 

3.564o3 
55607 
54804 
53995 

3.53179 

3.52769 
52356 
5i527 
50691 

3.49848 
48998 
48 1 42 
47280 

3.46410 


Coarse 


deg.  i  points 


750 

45' 
3o' 
i5' 

45' 
3o' 
i5' 


05212 
06895 
08576 

I.I0255 

1 1932 

i36o6 

1 5279 
i.i6ri4 
1.16949 

18617 

20282 

21946 
1.23607 

25966 

26922 

28576 
1.30227 

31876 

33593 
1.34756 

35167 
i.368o8 

38447 

4oo83 

41716 
1 .43347 

44975 

46600 

48223 
1.49843 

51459 
1.53073 

54684 
1.56999 

5-898 

595001 

6if)99 
1 .62695 

64>88 

65877 

67464 
i  .69047 

70627 
1.71022 

72204   3o' 

73778   I 5' 
1.75348  64° 

769t5   45' 

78479   3o' 


73° 

45' 
3o' 
i5' 

72° 
45' 
3o' 
i5' 

71° 
45' 
3o' 

i5' 

70° 
45' 
3o' 
i5' 

6.P 
45' 
3o' 
i5' 

68° 
45' 
3o' 
i5' 

67° 
45' 
3o' 
1 5' 

66° 
45' 
3o' 
1 5' 

65° 
45' 


dep. 


80039 

1.81596 

83i5o 

84699 
86246 

1.87789 

1.88559 
89328 
90864 
99396 

£.93924 
95448 
96969 

1.98487 

2.00000 


dif.  lat. 


Dist.  4 


i5' 

63° 
45' 
3o' 
i5' 

62° 

45' 
3o' 
i5' 

61° 
45' 
3o' 
i5' 

60° 


6h 


6i 


Course 


PO'i'tSj  deg^ 


a 


15^ 
i5 

3o' 

45 

16° 

i5 

3o 

45' 


Dtat.  5 


TRAVERSE  TABLE. 


dii:  lat. 


4.8206 


I| 


51 


^ 


H 


deg.    (points 


2^ 


17° 

i5 
3o 
45' 

18° 
i5' 
3o' 
45' 

19° 
i5' 
3o' 


45 
20° 
i5 
3o 
45 
21° 
i5' 
3o' 
45' 
22° 
i5 
3o 
45 
23° 
i5' 
3o' 
45' 
24° 
1 5' 
3o' 
45 
25° 
i5 


3o 

45 

26° 
i5 
3o' 
45' 

27° 
1 5' 
3o' 
45' 

2S°   , 


i5' 
3o' 
45' 

29^ 
i5' 
3o' 
45 

30° 


I  points 


de?. 


Courae      | 


Course 


82J9 
8182 
8123 

4.8063 
8002 
7941 
7879 

4.7847 

4.7815 
775 1 
7686 
7620 

4-7553 
7485 
74i6 

7347 

4-7-i76 

7204 

71 32 

4.7077 
7059 

4.6985 

6910 

6834 

6757 

4.6679 
6G00 
6591 
644o 

4.6359 
6277 

4.6194 
6110 

46025 
5940 
5853 
5766 

4.5677 
5588 
5498 
5407 

4.53i5 

5223 

4.5199 
5 1 29 
5o35 

44940 

4844 

4747 

4649 
4.4550 

445i 

435 1 

4249 
|4.4i47 
14.4096 

4o45 

39ii 

3836 
4.3731 

3625 

35i8 

3410 
4.33oij 

dep.  I 


dep. 


I. 294 I 

3i52 
3362 

3572 

1.3782 

3991 

4201 

44io 

1.4514 

.4619 

4827 

5o35 

5243 

.545 1 

5658 

5865 

6072 

.6278 

6485 

6690 

1.6844 
6896 

1.7101 
73o6 
75 10 
7715 

I. 7918 
8129 
8325 
8528 

i.8730 
8932 


Dist.  6 


327 


i 


dep. 


1.5529 

5782 

6o34 

6286 

1.6538 

6790 

7041 
7292 

1.7417 
1.7542 

7792 
8042 
8292 
.8541 
8700 
9o38 
9286 

5.673111.9534 
6645JI.9781 
6558|  2.0028 

5.6493  2.02 1 3 


Dist.  7 


dif.  kt 


6471 

5.6382 
6291 
6200 
6108 


0275 

2.052I 
0767 
IOI2 
1257 


6.7615 
7535 

7454 

7372 

6.7288 

7203 

7117 

7o3o 

6.6986 

".6941 

685 1 

6760 

6668 

6.6574 

6479 
6383 

6285 

6.6186 

6086 

5985 

6.5908 

5882 

6.5778 

5673 

5567 

5459 


dep. 


5920 
5825 
5729 
.5631 
553a 


1.9134 

9336 

1.9537 

9737 

1,9937 

2.0137 

2.0337 

o536 

0735 

0933 

2.1  i3i 

i328 

2.1378 

1526 

1722' 


5.5433 
5332 

5.523o 

5i27 

5o24 

4919 
5.48 1 3 

4706 
4598 
4489 
5.4378 

4267 
.4239 
4i55 
4o42 


2.191915.3928 
38i9 
3696 
3579 


2114 
23ro 

25o5 
2.2700 
2894 
3087 
3281 

2.3474 
2.3570 
3666 
3858 
4049 
2.4240 
443 1 
4621 
4811 


5-6oi5  2. 1 5026.535 
5920  1746  5241 
1 990  5 1 29 
2233  5oi7 

2.24766.4903 
2719  4788 

2.2961  6.4672 
32o3  4554 

2.34446.4435 
3685  43 1 5 
3925  4194 
4 1 65  4072 
2.4404  6.3948 
4643  3823 
4882  3697 
5 120  3570 

.5357  6.3442 
5594  33 1 2 

.5653  6.3279 
583t  3i8i 

6067  3o49 
2.63o2  6.29r6 

6537  2781 

6779  2645 

7006  2509 
2370 

223l 

2091 
49 


5.3460  2,7239 


334 1 

3221 
3099 

5.2977 
5.2915 


2853 
2729 

2604 
5.2477 
235o 
2221 
2092 


7479 

77o5 

7937 

2.8168 

2.8284 
8399 
863o 
8859 

2.9089 
9317 


1 

6.! 


1.8117 
84i2 
8707 
9001 
1.9295 
9588 
1.9881 
2.0  r  74 
2.o32o 
2.0466 
0758 
1049 
i34i 
2.i63i 
1921 
2211 
aSoi 
2.2790 
3o7« 
3366 
2.3582 

3654 
2.3941 
4228 
45i5 
4800 
2.5o86 
5371 
5655 
5939 
2.6222 
65oS 
2.6788 
7070 
2.7351 
7632 
7912 
8192 
2.8472 
8750 
9029 
9306 
2.9583 
9860 
2.9929 
3.oi36 

o4i 
3.0686 
0960 
1234 
i5o7 

1779! 
2o5i 

239.2 
2593 


Dist.  8 


dif.  lat. 

7.7274 


Dist.  5 


3.299B 

3i32 

3401 

3669 

3.3937 

,   ,      42o3l 

95451  0925  44701 

^   ,   ,  2.97731  0774I  4735 

2^5oooj5 . 1 962  j  3.{x)oo|6o62  2, 3 .  5ooo 

dif.  Iit.l    dep.    I  dif.  lat.j    dep.    | diflat 


6.1734 
1662 

i5i7 
1371 

!6.1223 

1075 


•061 3. 2863 


7183 
7090 
6996 

7.6901 
6804 
6706 
6606 

7-6555 

7.65o4 
64o2 
6297 
6192 

7.6085 
5976 
5866 

5754 
7.5641 
5527 
54ii 
7-5324 
5294 
7.5r-'5 
5o55 
4934 
48ii 
7.4686 
456  r 
4433 
43o5 

7.4175 

4o43 

7.3910 

3776 

7.364o 

35o3 

3365 

3225 

3o84 
2941 

2797 

265 1 
7.25o5 

2356 
7.2319 

2207 

2o56 
7.1904 

1750 

1595 

i438 
7.1281 

1121 

0961 

0799 
7.0636 
7.0554 

0471 

o3o5 
7.0x38 


dep. 


2.0706 
1042 
1379 

170 
2.2o5l 

2386 
2721 
3o56 

2.3223 

2.3390 

3723 

4o56 
4389 

■4721 

5o53 
5384 
5715 

2.6045 
6375 
6705 

2.6951 
7o33 

2.7362 
7689 
8017 
8343 

2.8669 
8995 
9320 
9645 

•9969 
3.0292 

3.061 5 

0937 

3.1258 

i58o 

1900 

2220 

2539 

2858 

3i75 

3493 

3.3809 

4i25 

3.4204 

4441 

4756 

3-5o7o 

5383 

5696 

6008 

3.6319 

663o 

6940 

7249 

3.7558 

3.7712 

7866 

8173 

8479 


Dist.  9 


Course 


dif.  lat 


8.6933 
683l 
6727 
6621 

8.65 14 
64o4 
6294 
6181 

8.6125 

8.6067 
5952 
5835 
5716 

8.5595 

5473 
5349 
5224 
8.5097 
4968 
4838 


dep.  I  deg.  1  points 


3294  75° 
45' 
3o' 
i5' 
74° 
45' 
3o' 
1 5' 


.3673 

4o5i 

443o 
2.4807 

5i85 

556i 

5938 
2.6126 
2. 63 1 3  73° 

6689  45 

7064  3o' 

7438  1 5' 
2.781272° 


8.4739 


8i85 

8557 

8930 

2.9301 

2.9672 

3.0043 


4706 
8.4572 

4437 

43oo 

4162 
8.4022 

388 1 

3738 

3593 

8.3447 
3299 

8.3i49'3.4449 

2998 1  48o4 

8.2845:3.5166 


3.o32o 
o4i3 

3.0782 
ii5i 
i5i9 
1886 

3.2253 
2619 
2985 
335o 

3.3715 
4078 


6i 


2691 
2535 
2378 
2219 
2059 
1897 
1733 

8.1568 
i4oi 

8.1359 
1233 
io63 

8.0891 


5527 

5887 
6247 
3.6606 
6965 
7J22 

7679 
3.8o36 

8391 
3.8480 

8746 

9100 
3.9453 


07!9|3  9806 
05444.01 58 


%i 


o368 


8 


Dist.  6 


Di.st.  7 


6.99703.8785 
9800  9090 
9628  9394 
9456  3.9697 

6.9282  4.0000 


dep. 


dif.  lat. 


Dist.  8 


0191 
8.0012 
7-9831 

9649 
7-9465 
79373 
9280 
9094 
8905 
7-8716 
8525 
8332 
81 38 
7-7942 


dep. 


o5o9 

4.0859 

1209 

1 557 

1905 

4.2259 

4.2426 

2599 

2944 

3289 

4-36331 

3976 
43  >  81 
4659 
4.5ooo 

dif.  lat 


Dist.  9 


i 


I  aw 

.nainta     dSg 


TRAVERSE    TABLE. 


a| 


■  '  I 


31 


I 

I, 


J<| 


I 


31 


Ipoiiit^     dflf. 


30^ 

3(y 

45' 

i5' 
30* 

45* 

1 5' 
3o' 

45' 

1 5' 

3<y 

45' 
1 5' 

3<y 

45* 
350 

1 5' 
3o* 
45' 

ggp 
1 5' 

3<y 

45' 

3-0 

1 5' 
3o' 
45' 

38" 
1 5' 
3o' 
45' 

390 
i5' 

3o' 
45' 

40° 
i5' 

3o' 
45' 

i5' 
3b' 
45' 

4r 


Oiat.  1 


86384 
861 63 
85941 
0.85773 
0.85717 
854?i 
85a64 
85o35 
a848o5 
84573 
84339 

84 1 04 
0.83867 
83620 
83389 


o.Soooo 


Dbt.  2 


diC  lat. 


5o377 

50754 

5iia9 

o.5i4io 

o.5i5o4 

51877 

52a5o 

526a  I 

0.5299a 

53361 

53730 

54097 

0.54404 
54829 
55io4 


0.831470.55557 


0.82904 
82059 
82413 
82165 

0.81915 
81664 

L8i4i3 
81157 
80903 

80644 
8o386 

o.8o32 1 
80125 

0.79864 
79600 
79335 
79069 

o.788t>i 
78532 
78261 

77988 


0.55919 
56280 
56641 
57000 

0.57358 
57715 
58070 
58425 

0.58779 
59r3i 
59482 

0.59570 
59S32 

oA>i82 
60529 
60876 
61223 

0.61 566 
61909 

6225l 

62592 


ly 

3o' 
45' 
43^ 
1 5' 

30' 

45' 
440 

1 5' 

3o' 

45' 
450* 


OV7771 5  0.62932 
77439I  63271 

0,77301,0.63430 
77163  636o8 
76884  63944 

0.7660410.64279 
■76323:|  64612 


■76041 
75  IT  56 
0.75471 

75»84 
■74896 

74606 


6^9-45 
65276 
o.656f»6 
65935 
66262 
66588 


0.743 140.669 1 3 
0.740950.67156 


74o22 
73728 
73432 


67237 
67559 
67880 


0.731 35  0.68200 
72837  6S5i8 
72537  68835 
72236  69151 

0.71934JO.69466 
7i63oj  69779 
7i325|  70091 
71019  70401 

0.7071110.70711 


Cmrm 


d«p      I  dif  lat. 


Diet.  1 


1 .73205 
72767 
73326 
71881 

1.71546 

J. 71433 
7098a 
70528 
70070 

1.69610 
69146 
68678 
68208 

1 .67734 
67257 
66777 

1 .66294 

i.658o8 
653 18 
64835 
64329 

1 .6383o 
63328 
62823 
623i5 

f.6i8o3 
61289 
dorjji 

1.60642 
6025 1 

1 .59727 
59200 

58&7I 
58i38 

1.57609 
57063 
56522 
55977 

1 .55429 
54879 
.54602 
54325 
53768 

1.53209 
52646 
52081 
5r5i3 

t  .50942 
5o36tt 
49791 
49211 

1 .48629 

I. 48 I 90 
48044 
47455 
46865 

.46271 

45674 
45075 
44473 

1.43868 
4326a 
42650 
42037 

i4t42i 


dep. 


Dist.  3 


(tif.  lat. 


1.00000 
00755 

oi5o8 
02259 

1.02821 

I.o3oo8 
03755 
o45oo 
05243 

1.05984 
06723 
07460 
08195 

1.08928 
09659 
io387 

1.11114 
1.11839 

i256i 
1 328 1 
13999 

1.14715 
15429 
i6i4i 
168  5o 

1. 1 7557 
18262I 


18965 
1.19140 
19665 
1.20363 
2 1059 
21752 
22443 

1. 23 1 32 

23819 
245o3 
a5i85 

1.25864 
26541 

1.26879 
37516 
37888 

1.28558 
29225 
39690 
3(»552 

I.3l2l2 

31869 
.32524 
33176 


.59608 
50151 
58489 
57832 
2.57319 

2.571 5rj 

56474 
55792 
55io6 

.54414 
53718 
53oi7 

523l2 

2.5i6oi 
5o886 
5oi66 

^49441 
2.48711 

47977 
47238 

46494 

2.457^i6 

44992 
44235 

43472 

2.42705 

4 1933 


dep. 


l.Sooorj 
5ii32 
52262 
53388 
1. 5423 1 
1. 545 II 
55632 
56750 
57864 


Dist.  4 


dif.  iat. 


1.589763.39219 


60084 

61 190 

62292 

1 .63392 

64488 
65581 
1.66671 
1.67758 
68841 
69922 


3.464 10 
45534 
44652 
43763 
3.43091 
3.42867 
41965 
4io56 
4ot4i 


38291 

373^7 

364i6 

3.35468 
345 1 4 
33554 
3.32588 
3.3i6i5 
3o636 
29650 


dep. 


Coara* 


deg. 


70999  28659 
1.72073  3.27661 

73 I 44  26657 
74211  25646 
75275  2463o 
1 .76336  3.23607 


4n57 

2.40963 

40376 

388oi 
38oo6 
37207 

2^64o3 
35595 
34782 
33965 

2. 33 1 44 
323i8 

2.3190? 
3i487 
3o653 

2-29813 
28970 
28122 
27269 

2.26413 
25552 
24687 

238l7 

.33836'2. 22943 


1 .343i  2 
34473 
35ii8 
35760 


37037 
37671 
383o3 

i.38o32 
39558 
40189 
4o8()3 

1.41421 


2.22285 
22065 
aii&3 
30297 


I.36400  2.19406 


dep.   dir.  Int. 


Dmt.  'I 


i85 

17612 

16709 

2.l5802 

14891 
1 3975 
i3o56 

2.l2l32 


77393 

78447 

1.78710 

79497 

iJio545 

8 1 588 

82628 

836651 

1.84698 

857?8 

86754 

87777 

r  .88796 

8981a 

1.90318 

90823 

91832 

1.92836 

93837 

94834 

9582R 

1.96818 

97804 

98786 

1 .99764 

2.0073g 

2.ot468 

01710 

02677 

o364o 

2.04600 

05555 

o65o6 

07454 

2.08  39R 

09337 

10273 

1 1 204 

2.12l3? 


22578 


21543 

3.21283 

30502 
3.19454 

r84()i 
17341 
16276 

3.i53o4 
14127 
i3o43 
11954 

3. 1 08  58 
09757 

3.00204 
o865o 
07537 

3.06418 
05293 
o4r62 
o3o26 

3.01884 

3.007  36 

2.99582 
9S423 

2.97258 


2.O0fKX) 

oi5io 

o3oi5 

04517 

3.o564» 

3.o6oi5 

07509 

08999 

10486 

2.11968 

1 3446 

14920 

16J90 

2.17856 

19317 

20775 

2.22228 

2.23677 

35l22 

26562 
27999 
2,29431 

3o858 
32281 
33700 
235ii4 
36524 


60" 

45' 
3o' 
1 5' 


37929 

2.3828( 

39330 

240726 

42118 

435o5 

44887 

2.46265 

47638 

49006 

5o369 

2>5l728 

53082 

2.53757 
54431 
55776 

2.571 15 
5845o 
59779 
61104 

2.62424 
63738 
65o4« 
66353 

2  67652 


50^ 

45' 

3o' 

1 5' 

56° 

45' 

3o' 

i5' 
5170 

45' 
3o' 
i5' 

56P 
45' 
3o' 
i5' 

55° 
45' 
3of 
i5f 

54° 
45^ 
3of 


2.961802.68624 


dep.   dif.  lat. 


Dial.  3 


96087 
94911 
93729 

2.92541 
91348 
901.50 
88946 

2.87736 

86521 
853oo 
84074 


i5' 

53° 
45' 
3o' 
i5' 

52° 
45' 
3ky 

ly 

51° 
45f 

3o' 

ly 

50° 
45' 
3o' 
iS' 

l!F 
45' 
3b' 
15* 

48° 


68947 
7»>2  36 
71 52 

2.72799 
74073 
75343 
76605 

2.77863 
791 16 
8o364 
81606 


2.82843  2.82843 


dep.       dif,  lat. 


Disr.  4 


45' 
3o' 
i5' 

47° 
45' 
3o' 
1 5' 

46° 
45' 
3o' 
i5' 

45° 


deg.      poiiTt* 


p«Nnta 


5i 


41 


4i 


41 


Counte 


Course 


pointaj  deg. 

30°~ 


2| 


V 


Dist.  5 


TRAVERSE     TABLE. 


dep.      dif.  lat. I 


Diet.  6 


Dist.  7 


Dist.  8 


2970  .._ 
4.28862.5705 
4.2858  2,5752 


2.5ooo 
5189  i83o 
5377  1698 
5565  1 564 
5.1464 


*^:!ll}^   ■ '*"P-  i  ^*f-  ^'^t-  «^eP-  Ji£Jat.)  dep.  ("de^ 


5.1962,3.0000  6.062a  3.50006.9282  4.0000  7^794lte5w^60° 

In.inl     noonl     nXf^l     Knfiii      ^. —      _o__  .w      .-.,,1 


2746 
2632 

25i8 
4- 2402 

2286 
2170 

2o52 
4.1934 
1814 
1694 
4.1573 
4.1452 
1329 
1206 
1082 
4-0953 

o832 
0706 
0579 
4o45i 

0322 
0193 
4.0160 
4.0063 
3.9932 
9800 
9668 
9534 
3.9401 
9266 

9i3o 

^8994 
3.8857 

8720 
3.8651 

858 1 

8442 
3.83o2 

8162 

8020 


5939 

612! 

63ii 

2.6496 

6681 
6865 
7049 
2.7232 
74i5 
7597 

2-7779 
2.7960 

8i4o 
83  20 
85oo 
2.8679 
8857 
9035 
9212 
2.9389 
9565 
9741 
2.9785 
2.9916 
3.0091 
0265 
o438 
0611 
3.0783 
0955 
1 1 26 
1296 
3.1466 
1 635 


0226] 

0452 

0678 

3.0846 

5.1430J3.0902 


1295 
ii58 
1021 
5.0883 
0744 
060  3 
0462 
5.o32o 
0177 
5. 00  3  3 
4.9888 
4.974? 
9595 
9448 
9299 

•9149 

S998 
8847 
8694 

4-8541 
8387 
8231 

4.8192 
8075 

4.7918 
7760 
7601 

7441 
4.7281 

7119 
6956 

6793 

46629 

6464 


pointp 


Course 


7878 

3.7735 
7592 

7448 
73o3 

3.7157 

3.7048 
7011 
6864 
6716 

3.6568 
6419 
6269 
6n8 

3.5967 
58i5 
5663 
5509 

3.5355 


3.1720  46381 
i8o4  6297 
1972I  61 3 1 

3.21394.5963 


23o6 
3472 
2638 
3.2803 


2967 
3i3i 


3294 

3.3457 

3.3578 

36i8 

3780 

3940 

3.4100 

4259 

44i8 

4576 

3,4733 

4890 

5o45 

5201 

3.5355 


5794 
5624 
5454 
4-5283 
5iio 
4937 


dif,  lat. 


Dist.  5 


4763 
4-4589 

4.4457 
44i3 
4237 
4o59 

4-3881 
3702 

3522 

3342 

4-3 160 
2978 
2795 
261 1 

4.2426 


dep. 


1126 

i35o 

1573 
3.1795 

2017 

2238 

2458 

3.2678 

2898 

3ii6 

3.3334 

3.3552 

3768 

3984 

4200 

3.44 1 5 

4629 

4842 

5o55 

3.5267 

5479 
5689 

3.5742 

5899 

J.0109 
63i8 
6526 
6733 

3.6940 
7146 
735i 
7555 

3.7759 
7962 

3.8064 
8i65 
8366 

3.8567 

8767 
8967 
9166 
3.9364 
9561 

9757 
3.9953 
4.0148 
4.0294 

0342 

o535 

0728 
4.0920 

nil 

i3or 

1491 
4.1680 

1867 

2o55 

2241 
4.2426 

difkt. 


0468 1  5264 

o3i4  5528 

oi58f  5791  .,__ 
6.0041  3.5987  6.8618 
6.0002  ""  "^  " 


9107 
8930 
8753 


Dist.  ^ 


Course 


3.6053  6.8573.4.1203 

l502 


63i4 
6575 
6835 
3.7094 
7353 


7611 
7868 
3.8125 
838i 
8636 
3.8890 
"•9'44 
9396 
9648 
3.9900 
4.oi5o 
o4oo 

0649 
0897 
4.1x45 
i3 


8393 
8211 
8028 

6.7844 
7658 


7283 
6.7094 
6903 1 
671 1 


1 638 

4.1699 
i883 

4.2127 
2371 
26x3 
2855 

4.3096 
3337 
3576 
38i5 

4.4052 
4289 

4-44o8 
4525 
4761 

4.4995 
5229 
5461 


5693, 
4.5924 
61 54 
6383 
66i2 
4.6839 
4.7009 
7066 
7291 
75x6 
4.7740 
7963 
8x85 
84o6 
4.8626 
8845 
9064 

928  T 
4.9497 


6.65 1 8 

6.6323 

6127 

5930 

5732 

6.5532 

533i 

5x29 

4926 

6.4721 

45i6 

4309 

6.4257 

4ioo 

6.3891 

368o 

3468 

3255 

6.3o4x 

2825 

2609 

2391 

6.2x72 

1951 

6.i84x 

1730 

i5o7 

6.1284 

X059 

o832 


1800 
2097 

4.2394 
2689 
2984 
3278 

4.3571 
3863 
4x55 


o3o2  7745  5340J 
o6o3  7547  5678 
0903  7347  6016 
4.1 128  7.7196  4.6269 
7.71454.6353 
6942  6690 
6738  7025 
6532  7359 
7.63244.7693 
6116  8025 
5905  8357 
5694  8688 
7.54804.9018 


4MA^ 
4.4735 
5o24 
53i2 
56oo 
4.5886 
6172 
64561 


5266 
5o5o 
7-4832 
7.4613 
4393 

4171 
3948 

7-hM 
3498 
3270 


o6o5 


Dist.  6 


dep. 


Dist. 


6.0377 
6.0x47 
5.9916 

9685 
5.9452 
5.9276 

9217 

8982 

8746 

5.85o8 
8270 
8o3o 
7789 

5.7547 
73o4  5823 
7060  6073 
68x5'  6321 

5.6569  5.6569 


6740!  3o42 
4-7023[7.28i2 
73o5  258o 
7586  2347 
7.2289 

21X3 

7-1877 
i64o 
i4o2 
1162 

7092 1 
0679 
0435 

70190 

6.9943 
9695 

6.957 
9446 

^9'96 
6.8944 

8691 

8437 
8181 

6.7924 
7066 
7406 
7145 

6.6883 

6.6686 
6620 
6355 
6089 

6.5822 
5553 
5284 
5oi3 


4.9674 
5.0001 
5.0327 

o652 

0977 

i3oo 
5.1622 

1943 

2263 
2582 

5.290 

32x8 

3534 
5.36x3 

3849 
5.4x63  530 


i5' 


41 


4h 


4i 


dif.  lat. 


Dist.  8 


dif.  lat. 


Dist.  9 


deg.  jpointel 
Course 


f 


dM 


"..- 


lEimOIIAL     PAHTS. 


I 

3 
4 

6 

7 
8 

._? 
lO 
11 

1 5 
i6 
17 
iB 
19 

20 

31 

a  3 
94 
•  \j 
26 
37 
38 

3o 
3 1 

33 
34 

37 

4o 
4i 

4? 
43 
44 

45 
46 

47 

49 

5o 

S3 
54 

cr 
t  > 

S7 
..'>8 
59 
60 


Lotttnilo. 


fP  I 

O'.O 

a.o 
3.0 
4.0 


5.0 

9.0' 


1 0.0 

1 1  •€) 

1 7  .a 
1 3..c> 
i4-oi 


i5.o' 
16.0 
17.0 
i8.0' 
19.0 

20.0 

•ml  1  *\f 

22.0 
2  3.0 

a4.o 


6  a.o 
63.0 
64.0 


65 .0 
66.0 
67.0 

OOtO 


8*> 

I  *il'Cf'.i«Cl' 
1 23..0 

i'a4.o 


i.a7.0' 
raS.o 


30   I  40   ,  50 


69.0!  r  99.0 

■  <.o 
7i.di3i.o 
7a. o  i3a.o 
73.0  i33.o 
74.0 


1 34.0 


J'nJPiilLir 

76.0 
77.0 
78-0 
79,0 


aS.o 
26.0 
37.0 

39.  f 


80.0 

81.0 
8a. o 
83. o 
84.0 


85.0 
86.0 


1 35.0 
I.36.0 
137.0 
i38.o 
1 39.0 

i4o.o 

i4f.o 
143..0 
143.0 
1 44.0 


180.1 
181. 1 
183. 1 

i83.i 
184.  t 

1 85. 1 
186.1 
1 87- 1 
188. 1 
189.1 


a4o.a  300.4 
a4i.a  3oi.4 
343.2  3o3.4 


3o3.4 
3o4.4 

a45.3[3o5.4 
246.3  3o6.4 


190.1 
191. 1 
193.1 
193. 1 
1 94. 1 

195.1 
196.1 
197.1 
198.1 
1 99. 1 


87.0 
88.0 


r45.o 
146.0 


i47-o 

148.0 

'149.0 


3o'.o 
Si  .0 
3a.o 
33.0 
34.0' 

35.0 
36.0 

3-T.(> 
J'U'O 
39.0 


y..'.w,  iSo.O 

91.0  1 5 1.0 
f2.o  fSa.o 
9l.o'i53.i 
94-oJ]54.i 


aoo.i 

301.1 

aoa.i 

3o3.1 

204. 1 


347.3 
a48.a 

349.2 


25o.3 

3  Si. 7 


307.4 
3o8.4 

309,4 


3 1 0.4 
3 11 -4 

25a.2!3r3.4 
2  53. 2|  3 1 3.4 

254.3  3 14.4 

255.3  3 1 5.4 
356.3  3i6.4 


257.2 

258.2 

259.2 


317..5 
3i8.5 
319.5 


95.0 
96.  c 


260.3  3  20. 5 

261.3321.5 

363.3  332.5 

263.3  323.5 
264.3  324.5 

2o5.i}265.3  325.5 
2f»6.ra66.3'326.5 

207. 1 '^Ti-. 3, 337.5 
208.1  363.3,1 328. 5 
2<:)9  1  269.31339.5 

270.3  33o.5 


4o.(  1 
4i'0 

42.0,i 

43.oj| 
.44.0 


i55.i 
1 56.1 

97-"; '5?.  I 
■98.0;  1 58. 1 
•9<?."l  159.1 

i6o.i 
I ''-t. 0,161. 1 
102.01162.! 

io3.o|i63.i 
i'04.0!i  164.1 


3 1  o.  I 

311. 1 

aia.i 
ai3.i 

31 4-1 

2r5.i 

2l6.I 

217.1 
ai8.i 

219. 1 


271.3 
272.3 
273.3 
274.3' 


33 1. 5 

•332.5 
333.5 
334.5 


45.0 
46. Oi 

47.0 
48  .o| 
49.01 

5 1 .0' 
5a.o 

53.0I 
54.0 


55.O1 
56.01 
S-J.o' 
58.0 
59.0' 
60.0 


107.0 
108.0 

1  lo.Oj 
I  I  J.o 

I  I  2  .< ) 

II  3.0' 

ii4-oi 

1  i5.o^ 
f  16.0 
r  i7'> 
1  i8.o| 
119.0 
1 20.0'' 


'.I 
I  bih  I 

167. 1 

r68.i 
169.1 

170.  r 

I7I..I 
I7:>.I 
173.1 
174.1 

1 77. 1 
1 78. 1 

179-1 

1 80. 1 


375.3335.5 

376.3316.5 
277.3337.5 

278.3)338.5 
279.3  339.6 

a  20. 2 1 280.3  j  340.6 
22i.2J28i.3!34i.6 

•iC  •<€  jC  *  HiC 

2343. 

226.2 

227.2 


382.3^'342.6 
383.3|343.6 
284.31344.6 

3I8  5:3, 34576 
286.3,1 346.6 
287-3:347.6 
228.2288.3348.6 
229.3,289.3  349.6 

23o.a[39o.3i35o.6 
23 1. 3  291.3.351.6 

332.3  292.4,353.6 

333.2  293.4353.6 
234.2  294.4:354  6 

235.21295.4,355.6 
3  36. 2 1 296.4' 356.6 

al".  2^  297.4,357.6 
238.21298.43^.6 
239.2  299.41359.7 
240.2  3oo.4' 360.7 


GO 

3f)o.7 
361.7 


•7 

363-7 

.364.7 

365.7 
366.7 
367.7 
368.7 

369,7 

370.7 
371,7 
373,7 
373.7 
374.7 
375.7 
376.8 
377.8 
378.8 
379.8 

38078 
381.8 
38a.8 
383.8 
384.8 

385.8 
386.8 

,387.8 
388.8 
389.8 

390.8 
391.8 
393.9 
393.9 

394.9 
395.9 
396.9 
397.9 
398.9 

-^99-9 
400.9 
401.9 
402.9 
403.9 
4o4-9 

405.9 

406.9 
4o8.o 
409.0 

4 10.0 

4i  1  -o 
4i3.o 

4 1 3.0 
414.0 
4 1 5.0 

416.0 

417.0 
4 1 8.0 
419.0 

430.0 

42 1 .0 


70    ,  go    ,   90 


42i.t>48r.6  543.2 

422. 1 {483.6  543.3 


433.1 
434.1 
435.1 


436.1 
437.1 
428.1 
429. 1 

43o.i 

43i.i 
43a.  1 
433.1 
434. 1 
435.3 

436.2 

437.2 
438.2 
439.2 


483.6 
484.6 
485.6 

48676 
487.6 
488.6 
489.6 
490.7 


544-3 
545.3 
546.3 


491.7 

492.7 
493.7 

494.7 

495.7 

49677 

497-7 
498.7 
499.8 


547.3 
548.3 
549.3 
55o.3 
55i.3 


100 


no 


664.1 
665.1 
666.1 
667.1 
668.2 


5524 

553.4 
554.4 

556.4 

557.4 

559.5 
56o.5 


440.2  5oo.8l56i.5 

44 1. 3  5<j  1.8  562.5 

442.2  5o 2. 8  563.5 

443.3  5o3.8  564'.5 
444.3  5o4.8  565.5 
445.3  5o5.8  5f)<5.5 


669-3 
670.3 
671.2 
672,2 
673.3 


6o3.i 
604.1 

&>5.i 
606.1 
607.1 

608.1 
609.2 
610.2 
611.2 
612.2 

6i3.a 
614.2 
61 5.3 
616.3 
617.3 

618.3679,4 
619.3^)80,4 
630.3681.4 
621.4683.4 
622,4683.5 

623T4  68475 
634.4685.5 
635.4 


12» 


726.3 
727.4 
728.4 
7294 


674.3 
675.3 
676.3 
677.3 
678.4 


446-3j5o6 
447.3  5o7 


5o8 
509 
5io 


448.3 
449-3 

45o-3 

45i.3  pii 
45  3. 3}  5 1 2 
453.3  5 1 3 


454.3 

45673: 
457.3 


5i4 
5i5 

5 16' 

5 17 


458.4519 

459.4J520, 
46o.4i52i, 


8  567.6 
8,568.6 
8|  569.6 

.91570.6 

•91 573.6 
.9' 573.6 

91574.7 

.9|  575.7 

9  576.7 

577.7 

578,7 

579.7 

580.7 
58 1. 8 


730.4 
73 1. 5 
732.5 
733.5 
734.5 


735.5 
736.6 
737.6 
738.6 
739.6 

740.7 

741.7 
742.7 
743.7 
744.8 

74578 
746.8 


686.5747.8 
687.5  748.9 

688.6749.9 


o 


585-8 
586  8 


46 1. 4i  5  2  3.0  582,8 

462.4|'523.o  583,8 
463.4, 524,0  584.8 
464.4i525.o 

465.4536.0 

466.4  537. 
467.4,528. 
468.4|539. 
469.5|53o, 

470.5, 53 1. 


626.4 

637.5 

628.5  689.6J7.50.9 
639.5690,61751.9 
630.5691 .61752.9 
631.5693 -6!  7  54.0 
633.5693.7.755.0 

633.6  694,7  756,o 
6346 695.7  757.0 
635.6|696.7  758.1 
636.61697.7  759,1 
637.6698,81760.1 

63876 
639.7 
640,7701^763.2 

641.7702.8764.2 

642.7  703.9  765.3 


471.5533, 

472.5i533. 
473.5;  534. 
474. 5|  535. 
475.5  536. 


587.8 
588.9 
589.9 

11590.9 
I  591.9 

I  593,9 
1 1 593.9 
1  594.9 
I  596,0 
21597.0 

3  598,0 

2)  599.0 
2,600.0 


476.5,537 

477-51538 
478.5I539. 
479.5|54o.2j6oi.o 
480.6  54i. 2,603. 1 
481.6  543.2603.1 


643.7 

644.7 
645.8 
646.8 
6478 

«^8 
649.8 
65o.9 
65  r. 9 
652.9 

65379 
654-9 
655.9 

657.0 
658.0 

659.0 
660.0 
661.0 
662.1 
663.1 
664.1 


699.81761.1 
700.8  763.3 


701 J 
703.8 
703.9 

704.9 
705.9 


708.0 
709.0 


10.0 
711.0 
712.0 
713.1 
714.1 


766.3 

.      ,  767.3 
706.9768.3 


769.3 

770.4 


7i5.i 
716.1 
17.1 
718.3 
719.2 


771-4 
772.4 
773-4 
774-5 
775.5 


776.5 
777.5 
778.6 
779-6 
7806 

781.6 


720.2 

721.3J782.7 
723.31783.7 
723.3  784.7 
734.3785.8 
725.3786.8 


o 
1 
2 
3 
4 

5 
6 

7 
8 

_? 
10 
II 

13 

i3 

lA 

i5 
16 

17 
18 

21 

30 
21 
22 
23 

U 

a5 
26 

27 
28 

i9 
3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

4o 
4i 
42 
43 

44 

45 
46 

47 
48 

49 

5o 
5i 

52 

53 
54 

5"5 
56 

57 
58 

60 


MERIDIONAL     PARTS, 


a3i 


Latitude. 


130      140  J  150 


10 
1 1 

13 

1 3 

14 

i5 
16 

n 
18 

•9 


786.8  848.5 
787.8I849.5 
788  8j85(».5 
789.9851.6 
790.9J852.6 

791.91853.6 


793.9'854-7 
794.0  855-7 


795.0 
796.0 


856.7 
857-8 


79«.» 
799.1 
8(Xi.  I 


20 
21 
22 

23 

24 


25 

26 

27 
28 
29 

■30 

3i 

33 

33 
34 


35 
36 

37 

38 

?1 

4o 

4« 
4> 
43 

44 

45 
46 

47 

48 

5o 
5r 

53 

53 
}4 

55 
56 

57 
58 

59 

60 


797.0  858.8 
859.8 
8(>o.9 
86  r. 9 

80 1. 2 1 862. 9 

803.3  864.0 
8o3.2|8f)5.o 
804.3,866.0 
80  5. 3 '867.0 
8o(v3|868.T 

807.3  8(i9. 1 
808.3870.1 
809.4871.2 

810.4  872.3 
811.41873.3 

8T375'874.3 
813.5I875.3 
814.5876.5 

815.5:877.4 
816^61878.4 

81^6 


818.6 

819.7 


879-4 
880.5 
881.5 


820.7I882.5 
821.7 

822.7 


833.8 


883.6 

88476 
885.6 


«34.8l886.7 

825.8'887.7 
826.9888.7 

8377988978 
838.9;89o.8 
829.9'89i.8 
83 1. 01892.9 


951.9 
953.0 
954.0 
955,1 
8  32. oj  893^9' 956. 1 

83To  8^9^.1 


9ro.5 
911.5 
912.5 
913.6 
914.6 

915.6 
916.7 
917.7 
918.7 
919.8 

930.8 
921.9 
933.9 
933.9 
925.0 

936.0 
927.0 
928.1 
939.1 
930. 1 

931.2 
933.3 
933.3 
934.3 
93^3 

936.4 
937.4 
938.4 
939.5 
940.5 

94 1 -6 
942.6 
943.6 
944.7 
945.7 
946.7 
947-8 
948.8 

949.9 
950.9 


I60 


972.7 
973.8 
974.8 
975.8 
976.9 


977-9 
979.0 

980.0 

98 1. 1 

982.1 


983.1 
9S4.2 
9S5.2 

986.3 
987-3 

988.3 
989.4 
990.4 
99  r. 5 
993.5 

~9^5 

994.6 

995.6 

996.7 

997-7 

998.8 

999.8 

1000.8 

1001.9 

1003.9 

1004.0 
ioo5.o 
1006.1 
1007. 1 
1 008. 1 


170 


io35.3 
io36.3 
r  037,4 
1  o38.4 
1039.5 


(o4o.5 
io4i.6 
1042.6 
1043.7 

r  044.7 


I80 


1098.3 

1099.3 
f  100.3 
1101.4 
1102.4 


1045-8 
1046.8 
1047.9 
1048.9 
io5o.o 


loSr.o 
to53.o 
io53.i 
1054.1 
io55.3 


io56.2 
1057.3 
co58.3 
059.4 
1060,4 


iio3.5 
1104.5 
iio5.6 

11 06.6 
II  07.7 


190 


1 108.7 
1109.8 

1 1 10.8 

1 11 1 .9 
I 113.9 


1 1 14.0 
iii5.i 
I  n  6. 1 
11 17.2 
n  18.2 


f  161. 5 
1162.5 

1 163.6 

1 164.7 

1 165.7 

1 166.8 
1167.8 
1168.9 
1 1 70.0 

1 1 71.0 

1172. 1 
1173.1 

1 174.2 

1 175.3 
1176.3 


20° 


1225. 1 
1236.2 
1227.3 
1238.3 
1229.4 


21° 


133a  5 
i23i.5 

1232.6 

1233.7 
1334.7 


S3ii 
R15.I 
836.1 
837.3 

83873 


839.2  901. 1 

840.3  903,2 
841.3903.2 
842.3,904.3 


896.0958.2 
897.0959.3 
898.0  960.2 
961.3 

962.3 
963.4 
964.4 
965.4 


1009.3 

IO10.2 
1011.3 
1012.3 

ioi3.4 


1014.4 
ioi5.5 
1016.5 
1017.5 
1018.6 


1061.5 
T062.5 
io63.6 
1064,6 
1065.7 

1066.7 
1067.8 
1068.8 
10699 
1070.9 


1119.3 

1 120.3 

1 121.4 

1133.4 

1133.5 


1124.5 
1 135.6 
1126.6 

IT  27.7 
1138.8 


1072.0 
TO73.O 
1074,1 
1075. 1 
1076.2 


899J 
900.1 


843.3905.3 
844.4I906.3 

845.419^7-4 
846.4i9o8.4 
847.5:909.4 
848.5I910.5 


966.5 

967.5 

968.6 
969.6 
970.6 

971-7 
972.7 


1019.6 
1020.7 
1021.7 
1022.8 
1023.8 


1077.2 
1078.3 
1079.3 
1080.4 
1081.4 


1I35.I 
ii36.i 
IT  3^.  2 
ii38.2 
1139.3 


1024.9 
1025.9 
1026.9 
1028.0 
1029.0 

io3o.i 
io3i.i 
io32.a 
io33.2 
io34.3 
io35.3 


1083.5 
1083.5 
1084.6 
1085.6 
1086.7 


1140.4 
ii4i-4 
1143.5 
1143.5 
1144.6 

iT45^ 
1146.7 

1147.7 

1 1 48.8 

1149.9 


1177.4 
1178.4 
1179.5 
1180. 5 
1181.6 

1182.7 

1 183.7 
1184.8 

1 1 85.8 

1 186.9 

1 188.0 
1189.0 
1190.1 
1191.1 
1 193.2 

1193.3 
1194.3 
1195.4 
1196.4 
1197-5 

TT^ 

1 1 99.6 

1 200.7 
1201.8 
1202.8 


1235.8 
1236.9 
1337.9 
1239.0 
1 240.0 


1 389,3 
1290.3 
1291.3 

1293.4 
1293.5 


13946 
1395.6 
1296.7 
1297.8 
1298.8 


22« 


230 


134l.l 

1343.3 
1243.3 
1 344.3 
1245  4 


1346.4 
1347-5 
1248.6 
1349.6 
1250.7 


1299.9 
i3oi.o 
i3o3.i 
1 3o3. 1 
i3o4.3 


i3o5.3 
i3o6.4 
r  307.4 
1 3o8.5 
1309.6 


1418.6 
1419.7 
1430.8 
1421.9 
1423.0 

1434.1 

1 42  5.3 

1426.3 
1427.3 

1438.4 


i35i.8 

1253.8 

1353.9 
1 355.0 
I356.0 


i3io.6 
i3ii.7 
t3i3.8 
i3i3.9 
i3i4.9 


1357.1 

1258.2 

1259.3 
1260.3 
1261.4 


1087.7 
1088.8 
1089.8 
1090.9 
109 1. 9 

T093.0 
1094.0 
1095.1 
1096.1 
1097.2 


1 1 50.9 

ll52.0 

11 53.0 
It  54. 1 

11 55.1 

II  56.2 
1 157.3 
1158.3 
1159.4 
1160.4 


1203.9 
1204.9 
1306.0 
1307.1 
1208.1 

1309.2 
1210.3 
1211.3 

1313,4 
131  3.4 


1363.5 

1363.5 
1 264  6 
1 265.7 
1266.7 


1 3 16.0 

l3l7.I 

i3i8.2 
1319.2 
i32o.3 


1353.7 

1354.8 
1355.8 
1356.9 

i358.o 

1359.1 
i36o.2 
i36i.2 
i  362.3 
1 363.4 

1 364-5 
1365.6 
1 366.6 

1367.7 

1 368.8 

1 369.9 
1371.0 

1372.0 

1 373. 1 

1 374.2 

1375.3  1440.4 
1376.411441.5 

1377.4  1442.6 


r4847i 
1485.2 
1486.2 
1487.3 
1488.4 


1439.5 
i43o.6 

1 43 1. 7 
1433.8 
1433.9 

1434.9 
i436.o 
1437-1 
1438.3 
1439.3 


1489.5 
1490.6 

1491-7 
1493.8 
1493.9 


i33i.4 

l332.5 

i333.5 
1334.6 
i335.7 


I3i4.5 
131 5.6 
1316.6 
1217.7 
1218.8 

1219,8 
1220.9 
1221.9 

I333.0 
1334-1 


1367.8 
1268.9 
1269.9 
1271.0 
1272. 1 


1273. 1 
1274,2 
1275.3 
1  276.4 

1277.4 


1278,5 
1279.6 
1280.6 
1281,7 
1383.8 


132.6.8 
1337.8 
1338.9 
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1333.2 
1334.3 
1335.4 
1336.4 


i337.5 
1 338.6 
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1 341.8 


1378.5 
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1 380.7 
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1383-9 
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1 386.1 
1.387.3 
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1391.5 
1392.6 

1393.7 
1394.8 
1395.8 

1396.9 
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1443.7 
1444-7 


1495.0 
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1497-3 
1498.3 
1499-4 

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1 502.7 
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1454.6 
1455.6 


1456.7 
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1 534 
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1528.0 
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1465.5  i53i.3 


1466.6 


1383.8 
1 384.9 
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1 287.1 


1342.9 
1344.0 
1345.1 
1346.1 
1347.2 


i4o2.3 
i4o3.4 
i4o4.5 
i4o5.6 
1406.7 


1407.8 
1408.9 
1409.9 
i4ii.o 

l4l2.1 


1467.7 
1468.7 
1469  8 
1470.9 
1472.0 


1473.1 


1 532.4 


1533.5 
15346 
1535.7 
1536.8 
1537.9 


4o 
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43 
44 


T  539.0 


1474  2  J  540.1 

1475.3  i54i-2 
14764  1543.3 


45 
46 

47 
48 

49 


1 348.3 
1349.4 
i35o.4 
i35i.5 


1288.1  i352.6 
1098.2I1161.5  I  1225.1J1389.311353.7 


t4i3.2 
i4r4-3 
i4i5.4 
i4i6.5 
1417.5 
i4i8.6 


1477.5 


14786 
14797 


1543.4 


1544-5 
1545.6 


14808  1 546.- 
1 48 1. 9  1 547.8 
i483.o|  1548.9 
1484.1 1  i55o.o 


5o 
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53 

54 


55 
56 

57 

58 


I 


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'itPlMPPlii 


It:  E  m  1  D  I  O  M  A  L     PARTS, 


\ 


o 
I 
a 
3 
j4: 

5 
6 

7 
B 

m 
It 

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i6 

19 

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36 

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33 
34 

35 
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43 
44 

45 
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56 
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58; 

59 

60 


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25«  .  «« 


1 6 16.5 


1618.7 


a7»  ,    28« 


1683.5  1 75 1. 2 


1 61 7.6  1 684.6  1 75 ^ .3, 1  daoii 


1685.81753,4 


1 33<:>.:0 
i55i.i 
i55a.3 

i55:44J  ifi2o.9|  1 688.0!  1 75i7 


»0 


1819.4 


1831.7 


1 61 9.8  1 686.9  1 754.6  1 83 2 .9 


1556.6 

1557.7 
1,558.8 
1559.9  »6a6.5 

i56i.o 
i  563.1 
1 563.  a 
1 564-4 
1 565.5 

F5661 
i5<;)7,7 


1627.6 
1628.7 
1629.8 
f63o'.9 
1 632,1 

1 633.3 
1634,3 
1635.4 
i5fS9,9(  1636.5 
1637.6 


1622.0  lo.Sy.  1I1756.8 

1623.2  1690.3  1758.0 

1624.3  1691 .4  1759.1 

1635.4  ''692.511760,2 
1693.6 

1694.7 
1:695.911763.6 

i"697.o  1764.8 
i'698,i  1765.9 
1699.2  1767.0 


1 574.3 
1575,4 
1 576.5 

1577.6 
1 578'.7 
1579.8 
1 580.9 

i582.i 


1639.9 


17«>.4 
1701.5 
1703.6 


1706. 


824.0 


1825.2 
1826.3 
1827.4 
1838.6 
1839,7 


1830.9 
i832.o 
1833.2 

1834.3 

i  %M'\Jf  ,JI'  a  ijl 


1768.3 
1769.3 
1770,4 


1703.7  1771.6 
1704.9  1773.7 


n-lH 


1 583.3 
1 1 564-3 

1 585.4 
1586.5 
I '587 .6 


1 64 1,0  1708.3 
1642.1 1 17*''9.4 
1643.2  1 7 '1 0.5 

1 644 -3 

1 1^645.5 

1646.6 

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'  1648.8 

1649.9 
r65i.o 

1.652.3 

1653.3 
1654.4 


1707,111775.0 
1776.1 

i"7'77.3 


1305,7 
1 589.8 

1 590'.9 

1 593.01 1658.9: 

1593.1'  "- 


1778.4, 

1779.5 
1780.7 
1781.8 
1783.9 

1784. 1 


1 8,36.6 
1837.8 
1 8 18 .9 
1840.0 
1841.2 

184373 
1843,5 
1844.6 
1 845,8 
1846.9 


1785.3 
1786.4 

1787.5 
1788.6 
1789  8 

•790-9 
1792.0 


i'655.5'i722.9 

1 656.6  1734.0 

1657.7  >735.:>  1-^93  2 
^  1726.3J  1794.3 

t66o,.of  i737.4i  1795.5 


1848.1 
1849.3 

i85o.4 
i85i,5 

1852.7 


1853.8 
i855.o 
1856.1 
1857.3 
1858.4 


1 8'59.6 
1860.7 
1 86 1. 9 

i863,o 
'.2 


i59,i3: 166 1. 1  I '728. 51 1796,6  1865.3 
1 5954!  1663.3  1739.7  1 797.7  1866.5 
1 ,596,5: 1 663.3  i7*>.8  1 798.9  1867.6 
1 597.61 1664.5'  1 73 1 .9'  1 800.0  1,868  8 
1 598.7I  1 665.6  I  -^ 3  3 . 1  j  1 80 1 . 3 1 1 869.9 

1 599.8{  1  •fi66~"T'  1 7~342 1 1^802.3 \  1187TT1 
I  'ft"'K"'>,9,i  I  fjfiT  .8  i  1 7  35, 3'  1 8o3.4  j  1 872.3 
i'6f'j->.o'  1659.0!  1736,5!  1804.6  1873.4 
1603. 1  i  1670. 1, 1 1737.6: 1 805.7!  1 874.5 
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1 609. 8  1 676.8  1 74 i.  1 1 8 1 2 .6  1 88 1 . 5 


1; 


1610,9  1 6"'7.9' 1745.5  1813.7,1883.6 
161 2.0  1 5^9,0, 1746.6  1 814.9: T 883.8 
161 3.1: 1680.2  1 747.8"' 181 6.0!  1884.9 
i6t4.2  1681.3  174B.9  1817.2  1886,1 
16 r 5.4  i683.4i i7:5<xoj8i8.3i  1887.9 
616.5  I683.5'i75i.3'i8i9.4'i888,4 


I088.,4 
1889,5 

1891.8 
1893.0 

i89„.t2 
1895.3 
i89(i5 
1897.6 
1898.8 

1899.9 

1901.1 
1903.2 
i9f)3.4 
i9<„»4.6 

1905.7 
1906.9 
i9<"»8.o 
1909.2 
1910.3 

1911.5 
1913,7 
1913.8 
1915.0 
1916.1 

1917.3 
1918,5 
1919.6 
1920,8 
1921.9 

1933.1 

1934.3 
1935.4 
1926.6 

1937.7 

1928.9 
1930.1 
1931.3 
1932.4 
1933.6 

1934.7 
1935.9 
1937.0 
1938.3 
1939.4 

1940.5 

19.41.7 

1942.9 
1944.0 
1945.2 

1946.4 

1947.5 
1948,7 
1949.9 
1951,0 

1953.2 
1953.3 
1954.5 

1955.7 
1956.8 
1958.0 


31©   I:   32°    f    33° 


1958.0  2028.412099.5 

195,9,3  '2029.6  2  H  10.7 


h/)i,5 

1962,7 

19(>3.8 
1965.0 

1966.2 
1967.4 
1968.5 


I  9^19.7 

1970.9 
1972.0 
1973.3 
1974.4 


1975.5 
1  •976.7 
1977.9 
1979.0 

1 980  3 


1981.4 
1982.6 


3P 


2171.:) 
2172.7 


XfO 


2  244-3 
2245.5 


2o3o.7  2101 .9  '?  1 73.9  2346.7 


2o3i.9  2io,3.ij2i7:»j 
2o33,i  2104.3  21 '76. 3 


2o,34.3jaio5.5 
2035.531067 
3036  6  2107.9 
2o„37.8  2109  I 
2039.0  2110,3 


2177.5 
2178.7I 

3  180.0 


3o4o.a 
3<o4i.4', 

'2o42.5 

3043.7 
3044.9 


3o46. 1 
3047-3 
2048.5 
2049.6 

2o5o.8 


3052.0 
2o53  2 

2054.4 
2o55.6 


1984.9 

1986.1 

1987.2  2057.9 
1988.412059,1 
1989.613060  3 
1990.8  ao6 1, 5 
1991.93062.7 

1993.1 
1994.3 
1995.5 
1996.6 
'997.8 

1999.0 

3000.1 
30O1.3 

2002.5 


3111.5 

3112.7 
21 13.9 

2 1 1 5.0 

2116.2 


2117,4 

31 18.6 
3119,8 
3131 .0 
3123.2 


2248.0 

22'49-2 


225 1  6 
3353.8 


2181,1   2254,1 

3183.3  3255.3 

2 1 83.6  23  56.5 
3184.8  33,57.7 


3 1 86.0 
2187.3 
3188.4 


32590 
2360.2 
2261.4 


3123.4  2195,7 
2124.6  3196.9 

2135.8  3198  I 
3127.0  3199.3 


3363.6 
22'63.9 

3265,1 

3266.3 

2367.5 


2268.8 

2370.0 

2  27*1, 2 

2272.4 


3056,7  3138,3  330O.5  22-'3  7 


;  3063,9 
2o65-o 

2067.4 
3068.6 

3069.8: 

3071,0' 
3073.3 
3073.3 
3074.5 


2139.4  3201  7 

3i3«j  6  2202.9 

2l3l.8  23o4.I 


3374.9 

3376.1 
2377.3 
2278,6 
2279.8 

2135.4  2207.813281.0 


3i33.u 
3134.3 


3136  6 


22o5  3 

2206.6 


2209.012282.3 


31.3-T.8i32  10.3  3283.5 


2139.0 

2l40.2 


2075.7 


aoo4.8 

3006.0J  2076.9 
2007.2  3078.1 
2008,4)2079  3 
3009.5  3080,5 


3010.7 
2011.9 

20 1 3. 1 


3i4i.4 
31426 
2143  8 
3i45o 

31,46.3 


33114 

2313.7 


3384.7 

3385.9 

3387.3 
2288.4 


2147.4 

2 1 48.6 
3149.8 

3l5l.O 
3l53.3 


2081,7 
2082,9 
2084.0 


201.4.3  j2085. 2 

2ot5.4|2o86.4 

3016.6 
3017.8 
30190 
ao2o.  1 
902 1. 3 


2 1 53.4 
2 1 54.6 
21 55.8 

3 1 57,0 
21 58.2 


2087.6 
2088  8 

209f>  o 

209T.2 
2092.4 


2033.5,3093.6 

3033.73094.8 
3024.8  3096.0 

30360  2097.1 

'3027, 3  3,098.3 
2028.42099.5 


231  3.8 

33l5.l 

22i6.3j3289.6 
2217.5  2290.9 

2218,712392.1 


331993393.3 

3321.  J  2294  5 
2322.4  3295.8 

3323.6  3397.0 
3324-8  3398.3 


3 1  59.4 
31606 
31618 

2i63.o 
2164.2 


2165.5 

2166.7 
2167.9 
2169.1 


2226.0 
2337.3 
33384 

2399.7 

333o.9 


2332  1 

2234.5 
22357 

3237.0 


2299.5 

3,3007 

33o  1 ,9 

3304.4 


3171.5 


2238,3 
3239.4 
2340.6 
324l.'8 


2  3o5.6 

3  3f)6.9 
23o8. 1 
2309.3 

33 10.6 


2170  3  2343  f 


3344.3 


33ii.8 
23 1 3  o 
23i4.3 
23 1 5.5 
23 1 6.8 
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3 

4 

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7 
8 

-9 
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11 

13 

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17 
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30 
31 
33 
33 
34 
35 

36 

27 

38 
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33 

33 
34 

35 
36 

37 
38 
39 

4o 
4i 
43 
43 
U, 

45 
46 

47 

48 
49 

5o 
5i 

53 

53 
54 

55 
56 

57 
58 
59 
60 


MERIDIONAL     PARTS 


333 


o 
1 

3 

3 

A 
5 

6 

7 
8 

_? 
10 
1 1 

13 

i3 

£4 

i5 

16 

17 
18 

'9 

30 
21 
22 
23 

a4 

25 

26 

27 
38 

39 

3o 
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32 

33 
34 

35 
36 

37 
38 
39 

4o 
4i 
42 
43 

^ 
45 

47 
48 

49 

5o 
5i 

52 

53 
54 

55 

56 

57 

58 


36° 


33 18.0 
3319.3 

3  330.5 

33ai.7 
2322.9 

2324.3 

3325.4 
2326.6 
3337  9 
3339.1 


370 


333o.4 
333 1  6 
2332.8 
2334.1 
2335.3 

3336J5 
2337.8 
2339  o 
2340.3 
234 1, 5 

2343.8 

2  344-0 
2345.3 
2346.5 

2  3-47-7 
33490 

235o.2 

235i.5 
3353.7 
3353.g 


2392.6 
3393.9 
2395,1 
33964 
2397.6 

2398.9 
2400. 1 
240 1 .4 
3402.7 
3403.9 


390 


2468.3 
2469.5 
2470.8 
2472.1 
3473,3 


24o5.2 

2406.4 

2407,7 
3408.9 
2410.2 


241 1.4 
2412.7 
34i4.o 

24l5.2 

2416.5 

24177 
24190 

3430,3 
3421.5 


2474.6 
24759 

2477-2 

2478.4 
2479-7 


390 


2544.9 
2546.2 
2547.5 
3548  8 
355o.i 


2481  o 
2482.2 
24835 
2484.8 
2486.1 

348773 
2488  6 
2489.9 
2491.2 
24924 


2355,3 
3356.4 

2357.7 
2358.9 

236o.2 

2361.4 
3362.7 
2363.9 
2  365.1 
33fi(i4 

23676 
3368-9 
3370.1 
2371.4 
3373.6 


3493.7 
2495.0 
2496.2 
2497.5 
2422  8:2498.8 

2424.o[25oo.r 
2425.3,2501.4 
3436  5  25o2.6 
3427.8  25o3.9 
2429.1  35o5.3 


2430.3 
2431.6 
2432.8 
2434  1 
2435.4 


2373,9 
2375.1 

3376.4 

2377.6 
2378.9 


2436.6 
2437.9 
3439.1 

2440.4 
244 1  7 

2443.9 
2444  2 
2445.5 
3446.7 
2448.0 


25o6  5 

2507.7 
2509  o 
25io.3 
25ii.6 


2551.4 
2552.7 
2553.9 
2555  2 
2556.5 

2557.8 
2559.1 
2560.4 

2561.7 
2563.0 

2564~3 
2565.6 
2566.8 
2568.1 
2569.4 

2570.7 
2572,0 
2573.3 
2574,6 
2575.9 


40O 


262  2-7 

2624.0 
2625.3 
2626.6 
2627.9 


3629.2 
363o.  5 
363 1. 8 
2633.1 
2634.5 


3635.8 
3637.1 
2638.4 
2639  7 
2641.0 


2642.3 
2643.6 
26449 
2646.3 
36.47.6 


3577.3 
3578.5 
3579.8 
358i.i 
3583.4 


3  38o.i 
3381.4 
2  382.6 
2383.9 
2385  1 


2386.4 

3387.6 

2  388,9 
_  2390.1  ..,..,., 
59  3391.4  2467.0 
60 1  2392. 6' 2468.3 


2449.3 
345o  5 
345  f. 8 
2453.1 
2454.3 

24557) 
2456.9 
3458  1 

2459.4 
2460  7 


2583.7 
2585.0 
3,586.3 
2587.6 

25889 


2648-9 

2650-2 

265i.5 
3652.8 
2654  I 


2655.4 
2656.7 
2658.1 

2659.4 
2660  7 


3525.7 
3536.9 

353^3 
2529.5 

2  530.8 


2532. T 
2533.4 
2534.6 
2535.9 
2537.2 


2461.99538.5 

2463,2  3539.8 
3464. 5  254i.i 
2465.7  2542.4 


3543.6 
2544.9 


2590  2 
3591.5 
3592  7 
2594.0 
2595.3 

2.596.6 
2597.9 
2.599.2 
2600.5 
2601.8 


2603.1 
2604.4 
2605.7 


3663.0 
2663.3 
2664.6 
2665.9 
2667.3 


2668.6 
2669.9 
2671.2 
2672  5 
3673.8 


2675.2 
2676,5 
3677.8 
3679.  ^ 
3680.4 


2681.8 
2683.1 
2684.4 


2607  o  2685.7 


1608.3 
2609.7 

261  !,0 

2612  3 

2613  6 
3614.9 


3687.0 


2616.2 
2617.5 
2618.8 
2620. 1 
2621.4 
2622.7 


2688.4 
2689.7 
2691.0 
2692.3 
2693.7 


2695.0 
2696.3 
2697.6 
3698.9 
3700.3 
2701.6 


Latitude. 


41° 

3701,6 
3703.9 
2704.2 
2705.6 
2706.9 

2708.2 
2709.6 
2710,9 
3712.2 
2713.5 

3714.9 
3716.2 
3717.5 
3718.9 
2720.2 

2721.5 
2723.8 
2734.2 
2725.5 
27268 

3738.3 
2729.5 
2730.8 
3733.3 
3733.5 

37348 
3736.3 
2737,5 
27388 
2740  2 

3741.5 
2742.8 
2744.2 
2745  5 
2746.8 

2748,2 
2749  5 
2750.9 
2752  2 
2753.5 

3754.9 
2756.2 
2757.5 
2758.9 
2760.2 

2761.6 
2762.9 
2764  2 
2765.6 
27669 

2^681 
2769.6 

2771.0 
3772.3 
2773.6 

3775.0 
3776.3 

2777.7 
3779.0 

3780.4 
2781.7 


420   430   440   450 


2781.7 
2783.1 

2784.4 
2785.8 
2787.1 

^^4 
3789.8 
3791. 1 
2792.5 
2793.8 

2795.2 
2796.5 
2797.9 
3799.2 
28o(i.6 


2863  1 
2864.5 


2945.8 
2947.2 


2865.8J  2948.6 
2867.2129500 
2868.6|295i.4 
2952.8 


46° 

3029.93115.5 
3o3 1. 413 117.0 


3o32.8 
3o34.2 
3o35.6 


3ii84 
31199 
3121.3 


2869.9 
2871.3 
3872.7 
2874.0 
2875.4 


2876.8 


2954 
2955  6 
3956.9 
3958  3 


2959.7 


2801.9 
2803..3 
2804.6 
2806.0 

2807.3 

2808.7 
2810.0 
281 1.4 
2813.8 
28 14. 1 

^8l575 
2816.8 
28182 
2819.5 
2820.9 

2823.3 
3833,6 
2825.0 
2826.3 
2827.7 


2878.212961 
2879.5  2962.5 
2880.9' 2963.9 
~  2965.3 


28823 


2883.6 
2885.0 

2886.4 
2887,8 


2966.7 
2968.1 
2969.5 
2970.9 


2889.1  2972.3 


2890.5I2973.7 
2891.9I2975.1 
2893  .1  2976.5 
289462977. 
2896  o!2979. 


3o37.o 

3o38.4 
3o39  8 


3122.7 
3 1 34.2 
3 125.6 


3o4i.33i27.i 

3042.7  3128.5 

3o44-i|3i3o.o 
3o45.5|3i3i.4 
3046.9  3 1 32  9 
3o48.4j3 134.3 

3049.8  3 1 35.7 


3o5i.2  3i37-2 
3o52  6!3r38.6 
3o54.o|3i4o  I 
3o55  5  3i4i.5 
3o56.9  3 1 43.0 


2829.0 

283o4 
283  T. 7 
2833.1 
2834.5 


2897  4129807 
2982.1 
2983  5 
2984.9 
2986.3 


2898.8 
2900.1 
2901.5 
2902.9 


3o58.3i3i444 
3059.7I3 145.9 
3o6i.2{3i47.3 
3o62.63i48-8 


3o64.o 


3o65.4 
3o66  8 


3i5o.2 


3i5i  7 
3 1 53.1 


3o68.3[3i54.6 
3069.713 1 56  o 


3904.3 
2905.7 
2907.0 
2908.4 
2909.8 


2835  8 
2837.2 
3838  5 
2839.9 
2841.3 

2842.6 
2844.0 
2845.4 
2846.7 
2848.1 

2849.4 
2850.8 
2852.2 
2853.5 
2854.9 

2856.3 
2857.6 
2859.0 
2860.4 
2861.7 
2863.1 


3911 

2912.6 

2913.9 

2915,3 

3916,7 


2918.1 
2919.5 
2920,9 
2922.3 
39336 


3987.7 
2989.] 
3990.5 
2991.9 
2993.3 


2994,7 
2996.1 
29975 
2998.9 
3ooo.3 


2925  o 
2926.4 
2937.8 
3929.2 
2930.5 


3ooi.7 
3oo3.i 
3oo4. 5 
3oo6.o 
3007.4 


3071.1 


3072  6 
3074.0 


3i57.5 


3 I 58.9 
3i6o.4 


3o75.4'3i6i.8 


3076.8 
3078.3 


3 1 63.3 
3164.7 


3079.7  3 1 66  2 


2931.9 
2933.3 
3934.7 
2936. 1 
2937,5 


2938.9 
2940  3 
3941.6 
2943.0 
2944.4 
2945.8 


3oo8.8 
3oio  3 
3oii.6 
3oi3.o 
3oi  4.4 


3oi5.8 
3oi7.3 
3oi8.6 

303O.  I 

3o3i.5 

3032.9 
3034.3 
3o35.7 

3o27.1 

3028.5 
3029.9 


3o8i.i 
.3082.5 
3o84.o 
.3o85.4 

3^6~8 
3o88.3 
3089.7 
3091 


3167.7 
3169.1 
31706 
3172  o 


3173.5 
3174.9 
3176.4 
3177.9 
3092.63179  3 


3094.0 
3095.4 
3096,9 
3098.3 
3099.7 


3 1 80.8 

3l83.3 

3i83.7 
3i85.3 
3 186.6 

3ioi.2:37887i 
3io2.6  3189.5 
3 104.0  3 19 1.0 
3io5.5  3192.5 
3106.93193.9 

3108.43195.4 
3109.8  3196.9 
3111.2,3198.3 
3ii3.7|3i99.8 
3rii.i[33oi.2 
3i  15.5,3202.7 


O' 

I 

2 
3 

A 

5 
6 

7 
8 

_9 
10 
II 

13 
\l 

lA 

i5 
16 

17 
18 

!9 

20 
21 

23 
33 
24 

25 

26 

27 
28 
29 

3o 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

4o 
4i 
43 
43 
AA 
45 
46 

47 
48 

4? 

5o 

5i 

52 

53 
54 

55 
56 

57 
58 

59 
60 


It  < 


334 


MBBIDIONAL     PARTS. 


o 
I 

3 

_4 

5 
6 

7 
8 

9 
li) 

II 
I  a 
i3 
1 4 
i5 

!() 

17 
18 

.11 
20 
2i 

34 

aS 
a6 
37 
28 

■uNLl 

3 1 
33 

"35 
36 
37 
38 
39 

4o 
4 1 
4a 
43 

44 

45 
46 

47 

48 

5o 
5t 
5  2 

I"'  "3' 

er 

58 


Latitude. 


47** 


3302, 

32t«4' 

'•j20J, 
3.,,.   ^ 


480    t    490    1    50°    ,510 


:1a'9i  .5: 3382. 1 1 3474-5  3568.8 
■3293.0  1183.6| 3476.0  3570.4 

3372.0 
3573.6 
3.575.2 


329i5l33S5,i!3477.6 

"586. 7 1 3479- i 
ivS8. 2;  3480.7 


J3299.0  3389.7 
.*iiT=!.io.5  3391.2 
■{92-8 


3482.3 
3483.8 
3485.4 


■3576.8 
3578.3 
3579.9 
"■8 1. .5 


32  I  o 
3 '2  I  I 

3'.»i3 

3 3 1 4.  fj ,  „)  ju J .  J  J  394 . 3 1 3486-t^ 

'htS  9!33<'/...>M395.8  3488.5J3583.i 

i  y  i~. 

■iJP'  Jl.  Ii  O  i 

3:1' ?o.. 
3231, 

3  ^'23, 


3490.1  3584-7 

3491.61 3586.3 

'3587.9 

3589.5 

359 1. 1 


3j24 
3:;  27 
32  3(1 


3233 

3irt  mill 
233 

'~J  A  ■..#  .JP 

HI,  J'  *'»yH,  I 

3238 

3239 
3341 

3242, 

3244 
3245, 

,3246" 
3»49 


,.r  iJuo.5  i '397.4 
,9  33o8.«;)'  3398'.9  i49 1 .6 
.  J j  3 3i >9. 5 :  3400.4  3493 . 2 
,8  3 3 1 1 .0 '  3  'I02  o|  3494.7 

,3  33.12.5  3403.5;  34g^i.3 

_  —         i  ______  ._ . 

.81 33 1 4.0' 3.4o5.<i  34.97.9  3592.7 
.■>"31i  5.5:34^3.513499.4  359,4.3 
.7i31i7.o:3.,4o8.i,;35oi.o3595.9 
2|  33 1 8.5  3,409.61 3502.6.3597.5 
.7  r  3 3  20 , o  34  n .  1 1 35o4. 1  3599. 1 

.332 1 .5  34.1 2.7! 3 505.7! 36«'x>. 7 
3323 .0  34 1 4-  2i  3  5o7 .3 '  36o2 . 3 
3324.5'34i5.7  35o8.8i'36<j3.9 
,3336.o\34i7-3'35jo.4l36<»5.5 
o'll >-.*)  3418  <S  3'>r2  013607.1 

.5  3329.0  3-i2o.3  35 1  3.5:3608.7 

.0!  3 1 3o. 5 ,  34 a  1 .9  35 1 5. 1  j 36'  1  o,3 

.513133..  I  !3423'.4i'35i  6.7.361 1. 9 
.o'3313.63425.o35i8.2'L36i'3.5 

.413335.1  3426,5:3519.8  36 r  5. 1 

_  i- j 1™ 

.9  33.36.6, 3428.01353 1 .4;..36i6.7 
.4j3338. 1 '  3429.6'3S23.0'!36'i  8.3 
,9'' 1339.6  343 1. 1 1 3524.5 136 1 9.9 
4 314 r. I  i432.7i.3526. 1  .3621.6 

CM,,ljliiJii'!Iil 


325 1 

1354 
255. 
325-7.3, 334-. 2^3418.8;3532.4|3628.o 

335'8         ""■    ' "'"  '■ 

3260 


.8  3,342.63434.213527.7 

.3  33.44. 1 ;,3435.7  3529.3 
3145.6;  ,34  37.3f35,3o.8 


.8.1 1348.7 :344o.4[  35.34.0 
.3j335o.2:344  I -913535.6 


,3624.8 
3626.4 


3629.6 
363 1. 2 


3264. 
>n5. 

1267. 

3269. 

3270 
3  21' 2, 

,3  2  7  ,»5 
3275, 

3376, 

.3278 
32  ?9 
3281 
3282 


135i.7,3443.5.,35.37.i 
3353.2!3445'.o,t3538.7 


.  3,354.7j: 3,446.6 
2 1 3356. 2  [3448.1 
-'1 3357,813449.6 


3,540,3 
3541.9 

3  543.. 5 


.>[ 3350-3,, 345i. a  3545.0 
7l,336o.8;3452.7  3546.6 


I  3362.3 


.6  3363.8  3455.8 

.1  3365.3  ,,3457.4 

I)  136679  345879 
3368.4|346o.5 
3,169.9:3462.0 
3371.4  3463.6 
3372.93465.1 


3a84 
3a85 
3287, 
3288, 
59 1  3290, 
60  1 3291 


31'74.5 


0.0 

1377.5 
3379-O', 
3380.6 


1.3632,8 

363,4.4 
3636.1 
3637-7 
3539.3 


3640.9 
3642,5 
3644. 1 

3645.7 
3647.4 


3466.7 
3468 . 3 
3469.813564.0 

,3471-4  3565.6 
3472.93567.2 


3548.2 
3549.8 

355 1. 4 

3553.0  3649.0 

3554.5  3650.6 

13556.1  ,3653.2 
13557.7  3653,8 
3559.3  3655.5 

3560.9 
3562.5 


338a.  1 '3474. 5' 3  568.8 


3657-1 
1658.7 
3660.3 
3661.0 

3663.6 
3665  2 


52° 
3665.2 

3668.4 
3670. 1 
•1-7 


3673.3 
3675.0 

3676.6 
,3678.2 

36798 

___ 

3683.1 
3684-7 
3686.4 

3688. 0 

3689,6 
3691.3 
3692.9 
3694.5 

3696.2 

3697.8 

3699.4 

3701. 1 
3703.7 
3704.4 

3706.0 
3707.6 
3709.3 

3710.9 
3712.6 

3714.2 
3715,8 
3717.5 
3?  1 9. 1 
3720.8 

3724. 1 
.3725.7 
3727.4 
3729.0 

3730.7 
3732.3 

3734.0 
3735.6 

3737.3 

3738.9 
3740,6 
3742.2 
3743.9 
3745.5 

3747.2 

3748.8 

3750.5 

3752.1 

3753.8 

3755.5 

3757.1 
3758.8 
3760.4 
3762.1 
3763.8 


530    I   540   I  550       56°       570 


3763JB'3864 
3765.4  38fi6 

3767.1 1, 38(>8 
3'768.7'3869, 
3770.43871. 

3772.1  ,3873. 


.613968.0 

.3  3969.7 
.0 

■7 
4 


3773.7 
3775,4 

3777.1 
3778.7 

3780.4 
3782.1 

3785.4 
3787.1 

J7"8.8 
3790.4 
3792.1 
3793.8 

3'705'.4 

3^. 

.3798.8 
38oo.5 
38o2.i 


3874 

3876 
3878 
388o 


3971.5 
3973.2 

■3974.9 
2  3976.7 
3978.4 
3980.2 
3982.0 
3983.7 


3881 
3883 
3885 
3886 
3888 


4073 
4075 
4077 

4079 

4081 


4182.6 
4184.5 
4186.3 
4188.1 
4i9t>.o 


389r) 

3891 
3&9I 
3895 
3897 


I985.4 
3987.2 
.3988.9 
399*1.7 
3992.4 

1.213994.2 
9.3996.0 
.7 1. 399-. 7 
4 1 3999. 5 
I  Uooi  .2 


3898 
3900 
3902 

1 3903, 


38o3.8;39o5'.7 

4 
.1 

.8 


.8J4oo3.o 
5!4oo4.7 
2  4006.5 
.9I4008.3 
4010.0 


4082 
4084 
4086 
4088 

4090 


4**91 
4093 
4095 
4097 
4099 


4h)o 
4102 
4»o4 
4io<) 
4io8 


38o5.5j.1'907, 
3,807.2 1 3909. 
.3808.9  3910. 
3810,5191 2 
1812.33914 

387379'.!^ 
38i  5.6  3917 
3817.3,3919 
38i8.9!392i 
3820.613922 


4oi  1.8 
4oi3,5 
4oi5.3 
4017.1 

3!4oi8.8 


8 
6 

.4 
.3 
o 

~% 
.6 

.4 
2 

.0 

^8 
.6 
4 


4191.8 
4193.7 
4195.5 
4J97.3 
4199.2 


4301.0 
4202.9 
4204.7 
4206.6 
4308.4 


4210.3 
4ai2.i 

42i4-o 
42 1 5.8 

4217.7 


4219.5 
4321.4 
4223.2 

214225.1 


4109 

4i  1 1 

4i  i3, 

4ii5 

4117  04227.0 

4118.94228.8 
4120.7J4230.6 
4i22.5i4232.5 
4124.34234.4 
4 1 26. 1  4236.2 


3822.33924 
3824.01 3936 
3825.7J3928 
3827.413929 
3839  I  3931, 

383o.7 
3832.4 
3834.1 
3835.8 
3837-5 

3839.2 

384o.9 

3842.6 

3844.31394 

3846.o3948 


,o4020 

.7|4022 

.4j4o24 

.2  4o25 

■91 4027, 

6  4029, 
4o3 1 , 
4o33, 

40I4. 
4o36. 


.64127 
.4{4i  29. 
4i3t, 

4 1 33. 
4 1 35. 


3933 
I935 
3936 
3938, 
3940. 


3941. 
3943. 
3945. 


3847-7  3950 
3849.4395a 

385 1. o!  3954 


3852.7 

3854-4 

.38567i 
385-'.8 
3859.5 
386i.2 
3862.9 
3864.6 


3955 
3957 


3959 

3961 

3962, 

3964 

3966 

3968, 


o 


4o38.3 

4o4o 

4o4i 

4o43. 
4o45. 


9:4338.1 

T  4239.9 

424 1 .8 
4243.7 
42455 


4i37 
4f38 

4i4o, 
4142 
4 1 44 


4o47 
4o48 
4o5o 
4o52 
4o54 


4o56 

4o57 
4o59 
4061 
4o63 


4 1 46 

4 1 47 
4 1 49 
4i5i. 
4i53. 


4247-4 
4249.3 
425i.i 
4253.0 
4254-9 


4i55 
4i57 
4i58 
4i6o 
4162 


4256.7 
4258.6 
4260.5 
4262.3 
4264.2 

4266.1 
4268.0 
4269.8 
64271.7 
4273.6 


4i64 
4i66 
4i68 
4169 
4171 


4o65.o 
4066.8 
4068.5 
4070.3 
4072.1 
4073.9 


4173 
4175 
4177 
4178 
4i8o 
4182 


4275.5 
4277.3 
42  79. 2 
4281. 1 
4283.0 

4^9 
4286.8 
4288.6 
4290.5 
4292.4 
4294.3 


o 
1 
2 
3 
_4 

5 
6 

7 
8 

_? 

10 
1 1 
12 
i3 

15 

16 
17 
18 

i9 

20 
21 
22 

33 

36 

27 
a8 
29 

3o 
3i 

33 

33 
M 

35 
36 

37 
38 
39 

4o 
4i 

42 
4^ 
44 

45 
46 

47 
48 

49 
5o 
5i 

52 

53 
54 

55 
56 

57 
58 
59 
60 


MERIDIONAL     PARTS. 


335 


o 
I 

2 

3 

A 

5 
6 

7 
6 

_? 

10 
1 1 
12 

i3 
]4 

1 5 
16 

17 
18 

i? 
20 
21 

23 
23 
24 

25 

26 

27 

28 

29 

3o 
3i 
3? 
33 
34 

35 
36 

37 
38 

h 

4o 
4i 
42 
43 
44 
45 
46 

47 
48 

49 
5o 
5i 

52 

53 

54 

55 

56 

57 
58 
59 
60' 


Latitude. 


580 


4294. 3 
4296.2 
4298. 1 
43oo.o 
4301.9 

43o3.7 
43o5.6 
4307.5 
4309  4 
4311.3 

43IX2 
43i5  I 

4317.0 
4I18.9 
4320.8 

4322.7 
4324.6 
4326.5 

43284 
4330.3 

4332.2 
4334-1 
4336.0 

4337.9 
4339.8 

4341-8 

4343.7 
4345.6 

4347-5 
4349.4 


590 


4409. 1 

44ii.i 
44i3.o 
44 15.0 
4416.9 


4418.9 
4420.8 
4422.8 

4424-7 
4426.7 


4428.6 
443o6 
4432.5 
4434.5 
4436  4 


4438.4 
4440.3 
4443.3 
4444.2 
44462 


60° 


4527.4 
4529.4 

453 1  4 
4533  4 

45354 


4537.4 
4539.4 
45414 
4543.4 
4545.4 


45474 
4549.4 
4551.4 
4553  5 
4555.5 


4557.5 
4559.5 
4561.5 
4563  5 
4565.6 


4351.3 
4353.2 
4355.1 
4357-1 
43590 

4360.9 
4362.8 

4364-7 
4366.7 
4368_6; 

4370.5 
4372.4 
4374.3 
4376.3 
43782 

4382.0 

4384.0 
4185-9 
4387i 

4389.8 
4391.7 
4393.6 
4395.6 
4397.5 


4448.2 
445o.  I 
4452.1 
4454  o 
4456.0 


4567.6 
4569.6 
4571.6! 
4573.6I 

4575.7 


61° 


4649.2 
4651.3 
4653.4 
4655-4 
4657-5 


4659-6 
466 1  6 
4663.7 
4665.8 
4667.8 


46699 
4672  o 
46741 
4676. 1 
4678.2 


4680  3 
4682.4 
4684-4 
4686  5 
4688.6 


620 


4775.0 
4777  I 
4779-2 
4781.4 
4783.5 


4785.6 
47878 
4789.9 
4792.1 
4794.2 


4796.3 
4798.5 
4800.6 
4802.8 
48o4  9 


4458.04577.7 
4459.94579-7 
446i.9'458i.7 
4463  9U583.8 
4465.8:4585.8 


4467.8 
4469.8 
44718 

44737 
4475.7 


45878 
45899 
4591.9 
4593.9 
4596.0 


4477-7 
44797 
44816 
4483  6 
4485.6 


4690.7 
14692.8 
4694.9 
4697.0 
46990 

4701.1 
4703.2 

4705.3 
47074 


4807.1 
4809.2 
4811.4 
48i3.5 
4815.7 


4817.8 
4820.0 
4822.1 
48243 
4826.4 


4828.6 
4830.8 
4832.9 
4835.1 
4709  514837.2 


44876 
4489.5 
4491.5 
4493.5 
4495.5 


4598.0 
4600,0 
4602.1 
4604.1 
4606.1 


4497.5 
4499-5 
45oi 
45o3  4 
45o5.4 


4399.4 
44oi  -4 
44o3.3 
44o5.3 
4407.2 
4409.1 


4507.4 
4509.4 
4511-4 
45i3.4 
45 1 5.4 


4517.4 
4519.4 
4521.4 
4523.4 


4608.2 
4610.2 
46i2,3 
4614.3 
4616.4 


4618.4 
4620.5 
4622.5 
46246 
46266 


471 1  6 
47137 
47 '5.8 

4717-9 
4720.0 


4722.1 
4724  2 
4726.3 
4728.4 
4730.5 


4839.4 
4841.6 
4843.7 
4845.9 
4848.1 


4732.6 

4734.7 
4736.8 
4738.9 
4741  o 


4628 
463o 
4632 
4634 
4636, 


4638 
464r 
4643 
4645 


4743.2 
4745.3 

4747.4 
4749.5 
4751.6 


485o.3 
4852.4 
4854.6 
4856.8 
4859.0 


486r.! 
4863  3 
4865.5 
4867.7 
4869.9 


4753 
4755 
4758 
4760 
4762 


4525.44647- 
4527.4I4649. 


4764 
4766 

4768 
4770 
4772 
4775. 


4872.0 
4874-2 
4876.4 
4878.6 
4880.8 


4883.0 
4885.2 
4887.4 
4889.5 
4891  7 


4893.9 
4896.1 
4898.3 
49CW.5 
4902.7 

4904.9 


63° 

4904.9 
4907.1 
4909.3 
4911.6 
4913  8 

4916.0 
4918.2 

4920  4 
4922.6 
49248 

4927.0 
4929.2 
4931.5 
4933.7 
4935.9 

4938.1 
4940.3 
4942.6 
4944.8 
49470 
49492 
4951.5 
4953.7 
4955  9 
4958.2 

4960.4 
4962.6 
4964.9 
4967.1 
4969.4 

497'  6 
4973.8 
4976.1 
4978.3 
4980.6 

49828 
4985.1 
4987.3 
49896 
4991.8 

4994.1 
4996  3 
49986 
5ooo.8 
5oo3.i 

5oo5  4 
5007.6 
5009.9 
5oi2.i 
5o  1 4.4 
5oi6.7 
5oi8  9 
.5o2 1  2 
5o23  5 
5o35.8 


5028.0 
5o3o.3 
5o33  6 
5o34-9 
5o37. 1 
5039.4 


64°   650  I  66°   67°  ,  68° 


5039.4 
5o4i.7 
5o44.o 
5o46.3 
5o48.6 

5o5o.8 
5o53.i 
5o55.4 
5057.7 
5o6o.o 

5062  3 
5o646 
5o66  9 
5069.2 

5071.5 

5073.8 
5076.1 

5078.4 
5o8o  7 

5o83.o 


5178.8 
5i8i.2 
5i83.5 


5123.5 
5326.0 
5328.4 


5 1 85.9' 53309 

5i88.3,.5333.4 


5190.753358 
5193.0  5338.3 


51954 
5197.8 


53408 
5343.2 


5200.2  5345.7 


5302.5  5348.2 
5204  9  5350.7 
5207.35353  I 
5209  7  5355  6 


5212. 1 


5o85  3 
5087.6 
5090.0 
5092.3 
5094.6 

5096.9 
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5io6.2 


52i4 
5216 
5219 

522F 

5224. 


5358.1 


5io8.5 
5II0.8 
5ii3i 
5ii5.5 
5117.8 

5 120. 1 

5l22-4 

5124.8 
5127.1 
5129  4 

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5i34.i 
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5 1 38.8 
5r4i.i 


5226 
5228 
523r 
5233 
5236, 

5238" 

5240. 

5243 

5245. 

5248 


536o.6 

5363  I 

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6,5368.0 

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4  5373.0 
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.0  5383.0 


5474.0  563o.8 
5476  6  5633.5 
5479-1  5636.2 
5481.7  5638.8 
5484.3  5641.5 


5486.8'5(544.3 
5489455469 
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5265.0 
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55i 5.2  5673.8 
55 17.8 1 5676.5 
5520.4,5679.2 
5523.o|568i.9 

5525  5 '5684.6 
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5533.3  5692.7 
5535.95695  4 

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554 1. 1 15700.9 
5543-8|  5703.6 
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5274.7 
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52795 
5281.9 

52844 


5286.8 
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5410.6 

54i3 

54i5.6 

5418 

5420.6 


5433.2 

54257 
5428.2 

5430.7 
5433.3 


5435.8 
5438.3 


555i657ii.8 
5554.25714.5 

5556.8j57i7.2 
5559.4.5720,0 

5563.1 '5722.7 


5564.7,5725.4 
5567,3  5728.2 
5569.95730.9 
5572.6,5733.7 
5575.2J57364 


5577.8  5739.2 
5580.4,5741  9 
5583.1 1 5744  7 
5585-75747.4 
5588.45750.2 


5291. 7I  5440.9 


5i55.2 
5i57  6 
5i59  9 
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5167.0 

5169.4 
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5294.  r 
52966 


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53o6.3 
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53ti.2 
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53 1 6. 1 
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5443-4 
5446.0 


5448.5 
545 1.0 
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546 r. 9 
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5466.3 
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5474.0 


o 
I 
a 

3 

A 
5 

6 

7 
8 

_9 
10 
II 
12 
i3 

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i5 
16 

17 
18 

!9 
20 
21 
22 

23 

24 

25 

26 
27 
28 

29 

3S 
3i 

32 

33 
34 

35 
36 

37 
38 
39 

4o 
4i 
42 
43 

45 

46 


5591.05752.9 
5593.65755.7 
559635758.5447 
5598-95761.2 
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5604.2J57668 
5606.9  5769.5 
5609. 5|  5772.3 
56i2. 2  5775.1 

5614.8,5777.9 


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5628.1  5791-8 
5630.8 '5794.6 


48 
49 

5o 
5i 

52 

53 
54 

55 
56 

57 
58 

59 
60 


'■"'"" 1^1.  ..."ilJirif 


MERIDIONAL     PAETS. 


il 


Ijttlitink. 


m°   ,    'TOO       710       720       733 


5980 
598.3, 

^  5989, 

.H,j599a. 

"6 


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6338. 1 
634 1, 3 

6344.6 

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654 1. 3 
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r.36357.6 
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656 1.0 
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5859-3  6031.86317. 
5863.1  6o36.8  6.2  30. 


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6226. 
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5.879, 
.5882, 
5885. 
5887. 
5890. 


8 


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6069. 

6072. 
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6367.3  6568.8 
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6380.4  6582.6 

6383-7  6586.1 
6387.o|6589.6 
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6396.9  66(X).o 

6400.1  66o3.5 
6403.4  6607.0 


64o6.7|fi6io.5 
6410.06614.0 


6254. 
6258. 

626.1'. 
6264. 
6267. 


5922. 
5925. 

I- #928. 
5931. 

5933. 


6084.8  6270:. 
6087.8  6273. 
6090.8  6277. 
6093.96280. 
6096.96283. 

fe^9 
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6106  o 

6109.0 

61T2.1 


64 1 3.4 

6416.7 

164  20.0 


6617.5 


662 1 .0 
6624.5 
6423.36628.0 
6426.6j663i.5 
6429.966350 

6433.3,66.38.5 


6436.6 
6439.9 
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6446  6 

6449-9 

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6642.0 
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6ii5.r 

61 18,2 

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6476-7 

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6483.5 

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63o2 

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;63i2.3 
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595t.3  6i3o.463i8.7 
5954.2  6 1 33. 4  6321.9 
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5963.0  6 1 42. 61633 1. 6 
5965.9*61 45.716334.8 


65oo.4 
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6656.2 
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'  il„,Jl.,l*j*3 

6666.8 

6670.4 
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669T.7 

6698.9 

6703.5 
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6713.2 
6716.8 
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6517.4 
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653 1. o 
'6534.4 


6727.6 
6731.3 
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740 

6745.7 

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6753.0 
6^56  6 

6760.3 

6763.0 
6767.6 
6771.2 
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6782.2 
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6789.5 

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6800.6 
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681  1.7 

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6819.0 
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6833.9 

6837.6 
684 1 -3 
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6875.0 
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693?. 9 
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6951.1 
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730       7flo 


6970.3  7210.1 


6974.3 
6978. 
6981.9 
6985.8 

6980.7 
6oo3.6 
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7001.4, 
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7a  r  4-2 
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7009.3I7251.6 

70 


770 


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7020.9 
7034.8 


7028.8 
7032.7 
7o36.6 
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704875 
7052.4 
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7060.3 
7064.3 


7068.3 

7072.2 
7076.2 
7t>8o.2 
7084.2 


7088.2 
7093.2 
7096.2 

7100  2 

7104.2 


7108.2 
7112.2 
71162 
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7124.3 

7128.3 
7132.4 
7 1 36.4 
7r4o.5 
7«44.5 


7355.8 
726(5  o 

72:64-2 

7268.4 

7273.6 

7276.8 

7281.0 

7285.3 

7289.5 
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7298.0 

7303.2 

7306.4 

7310.7 


7467.2 

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780 


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74940 
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7511.9 
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7521.0 
7525.5 
7530.0 


7744.6 
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7768.7 
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7783.3 
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790 


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7793.0 

77979 
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7543.6 

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7552.7 


7314.9 
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7323.5 

7327.7 
7332.0 


7336.3 
7340.6 

7344.9 
7349-2 
7353.5 


7357.8 
7362.1 
7366.4 

7370.7 
7375.1 


7557.3 
756  r. 8 

75664 

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7575.5 


7580.1 

7584.7 
7589.3 
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7823  4 
7827.3 
7832.2 
7837.2 


7843.1 

7847-1 
7852.0 
7857.0 
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7871.9 


8072.0 
8077.3 
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8<^98.5 
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8119.9 


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8157.5 
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8168.4 
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786698179.3 


8184.7 


7603.3 

7607.8 
7612.4 
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7621.7 


7876.98190.1 
7881.918195.6 
7886.98201.1 


7148.6 
7152.7 
71 56.7 
7160.8 
7164.9 

7169.0 
7173. 1 
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7185.4 


7401.1 
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7189.5 
7193.6 

7197.7 
730  r. 8 
7205.9 
7210.1 


7379.4 
7383.7 
7388.1 
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7423.0 
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7431.8 
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7445.0 
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76263 
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76590 
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7907.0 
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7673.1 

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76968 
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8233.1 
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7968.0 
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7993.7 

7998.9 
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8261.0 
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83 1 2.4 


83t8.i 
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8340.8 


8346.5 
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8375.2 


o 
I 

2 
3 
4 

5 

6 

7 
8 

_9 

10 
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12 
i3 
i4 

i5 
16 
17 

18 

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20 

2! 
33 

23 
24 
25 

36 

37 
38 

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3i 

32 

33 
34 

35 
36 

37 
38 
39 

4o 
4i 

42 

43 
U 
45 
46 

47 
48 

49 
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5i 

53 

53 
54 

55 
56 

57 
58 


MERIDIONAL  PARTS.                   337 

f 
0 

Latitude. 

1 
0 

80° 
8375.3 

81°  ,  82° 

83^ 

84= 

83° 

86° 

87° 

12522.1 

88° 
13916-^ 

89° 

16299.6 
16357.3 

8739.1 
8745.5 

9145.5 

9605.8 

10136.0 

10764.6 

ii533.5 

1 

8381.0 

9152.7 

9614.0 

10146.5 

10776.1 

11546.9 

12541.3 

13945.3 

I 

3 

8386.7 

8751.9 

9159.9 

9623.3 

101 56.1 

10787.6 

ii56i.3 

12560.5 

13974.2 

16416.1 

2 

3 

8392.5 

8758.3 

9167-1 

9630.5 

10165.7 

10799.2 

11575.8 

12579.9 

i4oo3.5 

16475.9 

3 

4 
5 

8398.3 
8404.1 

8764.7 
8771.2 

9174.3 

9638.8 
9647.1 

10175.4 

10810.8 
10822.5 

11590.3 

12599.4 

i4o33.o 

16536.8 

4 
5 

9181.6 

10185.1 

ii6o5.a 

12619.0 

14063.8 

16598.7 

6 

84t>9-9 
84 1 5.7 

8777.6 

9188.8 

9655.4 

10194.8 

10834.2 

11619.6 

12638.7 

14092.8 

16661.8 

6 

7 

8784.1 

9196.1 

9663.7 

10204.5 

10845.9 

11634.4 

12658.5 

14123.1 

16726.0 

7 

8 

8421.6 

8790.6 

9203.4 

9672.1 

10214.3 

10857.7 

1 1649.2 

12678.5 

i4i53.7 

16791.5 

8 

9 
10 

8427.4 
8433.3 

8797.1 
88o3.6 

9210.7 
9218. I 

9680.5 

10234.1 
10233.9 

10869.5 
1 088 1. 3 

116640 

1 2698.5 

12718.7 

14184.5 

i68d8.3 

9 

10 

9688.0 
9697.3 

1 1678.9 

i42i5.6 

16926.4 

ii 

8439.1 
8445.0 

8810.1 

9225.4 

10243.8 

10893.2 

11693.9 

J  2739.0 

14247-0 

16995.8 

11 

12 

8816.6 

9232.8 

9705.7 

10253.6 

10905.1 

1 1 709.0 

12759.4 

14278.7 

17066,7 

12 

i3 

8450.9 

8823.2 

9240. 1 

97 1 4.2 

10263.5 

10917.1 

11724.1 

12779.9 

1 43 10.7 

17139.1 

i3 

i4 
i5 

8456.8 
8462.7 

8829.7 
8836.3 

9247.5 
9354.9 

9722.6 

10273.5 

10939.1 
10941.2 

1 1739.3 

1 2800.6 

14343.0 

17213.0 

i4 
i5 

9731.1 

10383.5 

11754-6 

13831.4 

14375.6 

17288.6 

16 

8468.6 

8842.9 

9262.4 

9739.7 

10293.4 

10953.3 

1 1 769.9 
11785.3 

12842.3 

14408.5 

17365.8 

16 

17 

8474-5 

8849.519269.8 

9748.2 

io3o3.5 

10965.4 

12863.3 

1 444 1-7 

17444.9 

17 

18 

8480.4 

8856.1 

9277.3 

9756.8 

io3i3.5 

10977.6 

11800.7 

12884.5 

14475.2 

17525  8 

18 

19 
20 

8486.4 
8492.3 

8862.7 
8869.3 

9284.7 
9292.2 

9765.3 

io323.6 

10989.8 
11002.1 

11816.3 

12905.8 

14509.1 

17608.6 

19 

20 

9773.9 

10333.7 

11831.9 

12927.3 

14543.3 

17693.5 

31 

8498.3 

8876.0I9299.7 

9782.6 

10343.9 

11014.4 

11847.5 

12948.7 

14577.9 

17780.5 

21 

32 

85o4.2 

8882.69307.2 

9791.2 

10354.0 

11026.8 

11863.3 

12970.4 

14612.8 

17869.8 

32 

33 

85io.2 

8889.39314.8 

97999 

10364.2 

11039.2 

11879.1 

12992.3 

1 4648. 0 

17961.5 

23 

24 
25 

85 1 6.2 

8522.2 

8896.0 
8902.7 

9322.3 
9329.9 

9808.6 
9817.3 

10374.5 
10384-7 

iio5i.6 
1 1064. 1 

11895.0 

i3oi4.2 

14683.7 

18055.7 

24 
25 

1 1910.9 

i3o36.4 

14719-7 

i8i52.5 

26 

8528.2 

8909.4 

9337.5 

9826.0 

10395.0 

11076.6 

11937.0 

i3o58.6 

14756.1 

18252.2 

26 

27 

8534.3 

8916.1 

9345.1 

9834.8 

io4o5.4 

1 1089.2 

1 1943. 1 

i3o8i.o 

14792.8 

18354.8 

27 

28 

8540.3 

8922.8 

9352.7 

9843.5 

io4i5.7 

iiio(.8 

11959.3 

i3io3.6 

i483o.o 

18460.6 

28 

29 

3o 

8546.3 
855M 

8929.6 
8936.3 

9360.4 
9368.0 

9853.3 

10426. 1 
I0436.5 

11114.5 
1 11 27.2 

11975.6 
11991.9 

i3i26.3 

14867.6 

18569.8 

29 

3o 

986  r. 2 

i3i49.i 

14905.6 

18682.5 

3i 

8558.4 

8943.1 

9375.7 

9870.0 

io447.o 

11  t4o.o 

1 2008.3 

l3l72.1 

14944-0 

187990 

3i 

32 

8564.5 

8949.9 

9383.4 

9878.9 

10457.4 

iii52.8 

12024.8 

13195.3 

14982.8 

18919.7 

32 

33 

8570.6 

8956.7 

9391. 1 

9887.8 

io468.o 

11165.7 

1 2041.4 

i32i8.6 

l502  2.I 

19044.7 

33 

34 
35 

8576.7 
8582.8 

8963.5  9398.8 
8970.3  9406.5 

9896.7 

10478.5 

1 1178.6 
11 191. 6 

1 2o58.o 

13242.1 

1 5061.9 

1 91 74.4 

M 
35 

9905.6 

10489.1 

1 2074.8 

13265.7 

l5l03.I 

19309.3 

36 

8588.9 

8977.2 

9414.3 

9914.6 

10499.7 

11204.6 

1 2091 .6 

13289.5 
i33i3.5 

i5i42.8 

19449.6 

36 

37 

8595.1 

8984.0 

9422.1 

9923.6 

io5io.3 

II 2 17.6 

12108.5 

i5i83.9 

19595.9 

37 

38 

8601.2 

8990.9 

9429.8 

9932.6 

io52i.o 

11230.7 

I3I35.5 

13337.6 

i5225.6 

19748.7 

38 

39 
4o 

8607.3 
86[3.5 

8997.8 
9004.6 

9437.7 
9445.5 

9941.6 

io53i.7 

11243-9 
11257.1 

1 3 142.6 

i336i  9 

15267-8 

19908.7 

39 
4o 

9950.7 

io542.5 

1  2  I  59.7 

13386.4 

i53io.5 

20076.4 

4i 

8619.7 

901 1.6 

9453.3 

9959.7 

io553.2 

1 1 370.4 

12177.0 

i34ii.o 

15353.8 

20252.7 

4i 

42 

8625.9 

9018.5 

9461.2 

9968.8 

io564.o 

11283.7 

13194.3 

13435.9 

15397.6 

20438.6 

42 

43 

8632.1 

9025.49469.1 

9978.0 

105749 

11297.0 

I33I1.7 

13460.9 

1 544 1-9 

20635.1 

43 

45 

8638.3 
8644.5 

9033.4 

9477-0 

9987.1 
9996.3 

10585.8 
10596.7 

ii3io.5 
11323.9 

13329.2 

12246.8 

13486.1 

15486.9 

20843.5 

44 
45 

9039.3! 

9484-9 

i35ii.4 

15532.4 

21065.4 

46 

8650.7 

9046.39492.8 

iooo5.5 

10607.6 

11337.4 

13264.5 

13537.0 

15578.5 

2l3o2.5 

46 

47 

8656.9 

9o53.3|95oo.8 
9060.3  9508.7 

10014.7 

io6r8.6 

ii35i.o 

12282.3 

13562.8 

15625.3 

21557.3 

47 

48 

8663.2 

10033.9 

10629.6 

11364-6 

I2300.I 

13588.7 

15672.7 

21832.5 

48 

49 
5o 

8669  4 
8675.7 

9067.3  9516.7 
9074.3  9534.7 

ioo33.2 
10042.5 

10640.7 

1 1378.3 
1 1393. 1 

i23i8.i 

1 3614.9 
i364i.2 

15720.8 
1 5769.6 

22l3l.6 

49 
5o 

io65i.7 

1 2336. 1 

22459  3 

5i 

8682.0 

9081.49532.7 

ioo5i.8 

10662.9 

I  i4o5.9 

12354.3 

13667.8 

15819.1 

22821.5 

5i 

52 

8688.3 

9088.4  9540.8 

10061.2 

10674.0 

114197 

12372.5 

13694-5 

15869.3 

23226.4 

52 

53 

8694.6 

9095.5  9548.9 
9102.695569 

r  0070.6 

10685.2 

11433.6 

12390  9 

13721.5 

1 5920  2 

23685.4 

53 

54 
55 

8700.9 
8707.2 

r  0080.0 
10089.4 

10696.5 

11447-6 
11461.6 

1 2409.3 

13748.7 
13776.1 

15971.9 

24215.3 

54 
55 

9109.7 

9565  0 

10707.7 

12427.9 

16024.4 

24842.1 

56 

8713.6 

9116.8 

9573.2 

10098.8 

10719.0 

1 1475.6 

1 2446.5 

i38o3  7 

16077.7 

25609.2 

56 

57 

8719.9 

9124.0 

9581.3 

10108.3 

10730.4 

11489.8 

12465.3 

1 383 1. 5 

i6i3i.8 

26596.2 

57 

58 

8726.3 

9i3i.i 

9589.4 

10117.8 

10741.7 

1 1 5o4.o 

12484-T 

13859.6 

16186.8 

27992.1 
3o375.o 

58 

59 

8732.7 

9138.3,9597.6 

10127.3 

10753.2 

ii5i8.2 

i25o3.i 

13887.9162427 

59 

66 

8739.1  9145.5  9605.8I 

101 36.9 

10764.6 

H532.5 

12522.1 

13916.4  16299.6 

infin. 

60 

43 


I 


cc 


338    TABLE  FOE  COHEECTING  MIDDLE 

LATITUDE. 

Mid. 

Diflerenee  of  Latitude. 

Mid. 
Lilt. 

;Liit 

1,0  2 9- 

'  40  fij 

ti,-.70gc|9UjH|0  1 

11° 

12° 

,30 

14° 

150 

16= 

,70 

Id^ 

19 

'■ii)'-' 

o 

1     f    1 

t    1 

t     t     1 

'  ' 

1 

/ 

1 

1 

t 

t 

1 

t 

/ 

1 

0 

i5 

012 

3  5 

7  9  laliS  18 

22 

36 

3i 

36 

4i 

47 

52 

^.9 

65 

72 

i5 

16 

0  I  2 

3  4 

6  9  1 

6  Bi 

t  i4  18 

21 

25 

3o 

34 

39 

44 

5o 

56 

62 

^9 

16 

.17 

0  I  2 

3  4 

1  l4  17 

20 

34 

28 

33 

3» 

43 

48 

54 

60 

bb 

17 

If5 

0  I  1 

3  4 

6  8  10  i3  16 

20 

33 

27 

33 

36 

4i 

46 

52 

t>7 

64 

18 

19 

0  I  1 

3  4 

6  8  10  1 3  16 

»9 

22 

26 

.3«> 

35 

4o 

45 

5o 

56 

bi 

19 

341 

0  1  I 

i  4 

5  7  10 12  i5 

18 

23 

25 

29 

34 

38 

43 

48 

54 

6<) 

20 

31 

0  i  I 

a  4 

5  7  . 

^  13  l5 

}  13  i4 

^11  i4 
9  II  i4 

18 

31 

35 

29 

33 

37 

41 

47 

52 

58 

31 

a  a 

0.1  1 

a  4 

5  7  * 

17 

31 

34 

38 

33 

36 

41 

4b 

5i 

56 

32 

i»3 

0.  1  ■ 

2  3 

5  7  < 

17 

20 

33 

27 

3i 

35 

40 

45 

5o 

55 

23 

24 

0  I  t 

2  3 

5  7  - 

16 

20 

23 

27 

3i 

35 

39 

44 

49 

54 

24 

a*» 

0  1  1 

2  3 

5  7  i 

^11  i3 
5  11  i3 

16 

19 

23 

26 

3o 

34 

38 

43 

48 

53 

25 

a6 

0  1  I 

2  3 

5  6  1 

16 

'9 

22 

26 

3o 

34 

43 

47 

53 

26 

97 

0  1  I 

2,  3 

5  6  1 

B  II  i3 

16 

19 

32 

25 

29 

33 

37 

43 

47 

53 

27 

a8 

oil 

2  3 

5  6  1 

B  10  i3 

16 

18 

22 

25 

39 
38 

33 

37 

4i 

46 

5i 

28 

29 

0  1  1 

2  3 

5  6  ) 

B  10  i3 

i5 

18 

31 

35 

32 

37 

4i 

46 

5i 

29 

,1<> 

0  1  I 

2  3 

5  6 

B  10  i3 

i5 

l8 

21   25 

38 

32 

36 

4i 

45 

5o 

3o 

3i 

0  1  1 

2  3 

5  6 

8  10  12 

i5 

18 

31  24 

28 

33 

36 

4o 

45 

5o 

3i 

32 

0  0  1 

2  3 

4  6 

8  10  12 

i5 

18 

2! 

34 

38 

32 

36 

40 

45 

5o 

32 

33 

0  0  1 

2  3 

4  6 

8  10  12 

i5 

18 

21 

34 

38 

3a 

36 

40 

45 

49 

33 

34 

0  0  1 

2  3 

4  6 

8  !o  12 

i5 

18 

21 

24 

38 

33 

36 

40 

45 

49 

34 

3i 

0  0  1 

■■  2  3 

4  6 

8  10  12 

i5 

18 

31 

24 

38 

33 

36 

40 

45 

49 

35 

m 

0  0'  1 

2  3 

4  6 

8  10  13 

i5 

18 

31 

34 

38 

33 

36 

4o 

45 

49 

36 

37 

0  0  1 

3  3 

4  6 

8  10  13 

i5 

18 

21 

24 

38 

33 

36 

4o 

45 

49 

37 

38 

0  0  I 

2  3 

4  6 

8  10  13 

i5 

18 

21 

24 

38 

33 

36 

40 

45 

5o 

38 

39 

0  0  1 

2  3 

4  6 

8  to  13 

i5 

18 

31 

34 

28 

32 

36 

4o 

45 

5o 

39 

40 

0  I  1 

.,  _  _ 

5  6 

8  10  i3 

i5 

18 

31 

25 

28 

32 

36 

4i 

45 

5o 

40 

4i 

0  1  1 

3  3 

5  6 

8  10  i3 

i5 

18 

31 

35 

28 

32 

37 

4i 

46 

5i 

4i 

42 

0  I   1 

2  3 

5  6 

8  to  i3 

i5 

18 

22 

35 

29 

33 

37 

4i 

46 

5i 

42 

43 

0  1  1 

2  3 

5  6 

8  10  i3 

16 

18 

32 

25 

29 

33 

37 

42 

46 

52 

4i 

44 

0  I  1 

2  3 

5  6 

8  10  i3 

16 

19 

23 

25 

39 

33 

38 

42 

47 

52 

44 

4S 

0  I  1 

I  2  3 

5  6 

8  [I  i3 

16 

*9 

23 

26 

3o 

34 

38 

43 

481  53 

45 

46 

0  i  1 

[  2  3 

5  6 

8  II  i3 

16 

19 

32 

26 

3o 

34 

38 

43 

4f^- 

»5J 

46 

47 

0  1  1 

I  3  3 

5  7 

911  i3 

911  i4 

i6 

»9 

23 

26 

3o 

35 

39 

44 

49 

54 

47 

48 

0  1 

I  2  3 

5  7 

>7 

20 

23 

27 

3i 

35 

40 

44 

5o 

55 

48 

49 

O'  1 

I,  2  3 

5  7 

9  II  i4 

17 

30 

23 

37 

3i 

36 

40 

45 

5o 

5b 

49 

5<:i 

0  I 

~i   2  4 

5  7 

911  i4 

17 

30 

34 

28 

33 

36 

4i 

46 

5i 

57 

5o 

•i'l 

0  I 

1  3  4 

5  7 

9  12  i4 

9  12  i5 

17 

21 

34 

28 

32 

37 

42 

47 

52 

58 

5i 

fia 

0  1 

1  2  4 

5  7 

18 

31 

2§ 

39 

33 

38 

43 

48 

53 

59 

52 

S3 

0  1 

I  3  4 

5  71 

0  13  l5 

18 

33 

25 

^9 

34 

38 

43 

49 

54 

60 

53 

54 

0  1 

I  2  4 

5  7' 

0  13  l5 

18 

23 

36 

3o 

34 

39 

44 

5o 

56 

62 

54 

j^ 

0  1 

I   a  4 

6  6] 

0  i3  16 

19 

22 

26 

3i 

35 

4o 

45 

5i 

57 

63 

55 

56 

0  1 

1  3  4 

6  81 

0  i3  16 

19 

33 

27 

3i 

36 

4i 

47 

52 

58 

65 

56 

57 

0  I 

I  3  4 

6  8  I 

0  i3  16 

20 

24 

28 

32 

37 

43 

48 

54 

60 

bb 

57 

M 

0  I 

2  3  4 

6  81 

I  i4  17 

20 

24 

28 

33 

38 

43 

49 

55 

61 

bS 

58 

59 

0  I 

334 

6  8i 

I  i4  17 

21 

25 

29 

34 

39 

45 

5o 

57 

63 

70 

59 

60 

0  1 

2  3  4 

6  9  1 

1  14  18 

23 

26 

3o 

35 

4o 

46 

52 

58 

65 

72 

j6o 

61 

0  1 

2  3  5 

7  91 

2  i5  18 

22 

26 

3i 

36 

43 

47 

54 

60 

67 

75 

'61 

62 

0  I 

3  3  5 

7  91 

3  i5  19 

33 

27 

33 

37 

43 

49 

55 

63 

70 

77 

62 

63 

0  1 

2  3  5 

7  10  1 

2  16  30 

24 

28 

33 

39 

44 

5i 

57 

64 

72 

80 

63 

64 

0  1 

2  3  5 

7  10  1 

3  16  20 

24 

29 

34 

40 

46 

53 

59 

67 

75 

83 

64 

65 

0  1 

9  3  5 

7  io 

1 3  17  2*1 

25 

3o 

36 

4i 

48 

55 

62 

69 

7ti 

86 

65 

66 

0  I 

2  3  5 

811 

l4  18  23 

26 

32 

37 

43 

5o 

57 

64 

72 

81 

9' 

66 

67 

0  I 

246 

811 

t4  18  33 

28 

33 

39 

45 

52 

59 

67 

76 

85 

94 

67 

68 

0  I 

2  4  6 

812 

1 5  19  34 

29 

34 

40 

47 

54 

62 

70 

It 

8q 
93 

99 

68 

69 

0  1 

346 

9  '^ 

16  30  35 

3o 

136 

43 

49 

57 

65 

74 

io4 

69 

70 

0  I 

246 

9i3 

1631  36 

32 

38 

44 

52 

60 

68 

78 

88 

98 

1 10 

70 

71 

0  1 

2  4  7 

10  i3 

17  33  27 

33 

40 

47 

55 

63 

72 

83 

93 

1 04 

lib 

71 

72 

0  I 

357 

10  i4 

1823  39 

35 

42 

49 

58 

67 

7618719811111124'  72 

TABLES. 


339 


Lotrarithms  of  use  in  compvfing  Compound  Interest  for  long  -periods  of  time. 


Nam. 


1.001  v5 
i.oo?5u 
1.00375 
I  .oo5oo 
1.00625 
1 .00750 
1 .00875 
1 .0 1 000 

1.01  125 
I.0l25o 

1.01375 
1 .0 1 5oo 
1. 01625 
1 .0 1 75o 
1. 01 875 
1, 02000 
1,02135 

1.0225o 
1.02375 
I.0250O 

1.02625 
1.02750 
1.02875 
I  .o3ooo 
i.o3i25 
i.o325o 
1.03375 
i.o35oo 
i.o3625 
i  .o375o 
1 ,03875 
i,o4ooo 
i.o4i25 


liOS. 


,ooo54 
,00108 
.00162 
.00216 
.00270 
.oo324 
.00378 
.00432 
.(K)485 
.00539 
.0059J 
.00646 
.007CX) 
.00753 
.00806 
.00860 
.00913 
.00966 
.01019 
.01072 
.01 125 
.01178 

.OI23o 

.01283 
.01 336 
.01389 
.oi44i 
.01494 
.01546 
.01598 
.oi65i 
.01703 
.01755 


25290 
43812 
55582 
60617 
58933 
5o548 
35477 
13737 
85346 
5o3i8 
08672 
60422 
o55.S6 

44178 
76217 

01717 
90695 
33i66 

39147 
38653 

31701 
i83o5 
98483 
72247 
3g6i5 
oo6o3 
55225 

03497 
45435 
8io53 
10367 
33392 
5o  1 44 


92294 
92220 

86737 
565o8 
75925 
i3i47 
3oi37 
82643 
2o3v9 
86706 
1 92 1 2 
49232 

02I25 

97258 

48o33 
61918 
40472 

79379 
68475 
91773 

27497 
48107 

3o326 

o5i72 

57982 
28439 

6060  3 
92937 
5833o 
84i3o 
92167 
98780 
14844 


Num. 

i.o425o 
1.04375 
i.o45oo 
1.04625 
1 .04750 
i  .04875 
i.o5ot)o 
i.o5i25 
i.o525o 
I  05375 
I  o55oo 
i.o56:^5 
i.o575o 
1.05875 
I  .o6<x)o 
1. 061 35 
1.06350 
1 .06375 
I  .o65oo 
1.06625 
I  .CJ6750 
1 .06875 
1 .07000 
1.07125 
1.07350 
I  07375 
1.07500 
1 .07625 
1 .07750 
1.07875 

1 .0&(K^0 
1.08125 
1.08250 


.01807 
.01859 
.0191  I 
.01963 

.020 1 5 

.02067 

.021 18 

02 1 70 

.02222 

.02273 

.02335 

.02376 

.02428 

.02479 

o253o 

.02581 

.02632 

.02683 

.02734 

.02785 

.02836 

.02887 

.09938 

.029B9 

.o3o39 

.03090 

.o3i4o 

.03191 

.o324i 

.03292 

.03342 

.03392 

.03442 


Log«_ 

6<j636 
64884 
62904 

547 1 Q 

4o3i6 
19738 
99990 

6oob8 
21045 
75876 
24596 
67219 
»)376o 
34933 
58653 
77033 
89387 
95730 

96077 
90441 

78836 
61277 
37776 
08349 
73oo8 
31768 
84642 

3 1 644 
72788 
08087 
37554 
61204 
79o5o 


45795 
91658 
47073 
oi3i6 
38333 
36757 
69938 
05969 
07706 
32799 
3371 1 

57749 
47080 

38763 

64770 

52009 

39349 

99644 

74757 

75579 

97061 

36299 

85210 

3i355 

56762 

39299 

51624 

6171 1 

32769 

23966 

8695f> 

728-71 

954'>3 


Num. 


liOg. 


1.08375 
I  .o85oo 
1.08625 
1 .08750 
1.08875 
1 .09000 
1.09125 
1. 09250 
I  09375 
1 .09500 
1 . 096^*5 
1 .09750 
I  09875 
1  10000 

1.I0135 
1.1025o 

I.I0375 
I  io5oo 
I. 10695 
1.10750 
1.10875 
1 . 1 1 000 
I.I  1 125 

I.I  I25o 

I.I  1375 
1 . 1 1 5oo 
i.i  1625 
11 1750 
I.I  1875 

•  .  I  20CX5 
1. 12195 
I.I2950 

1. 1  9375 


.03492  911 04  84267 

.03542  97381  84548 
.03593  97894  56733 
.o3643  92656  2667? 
.03692  81680  1572c 
.03742  64979  4<*624 
.03792  42567  13626 
.o3842  14456  42459 
.03891  80660  3o37o 
.03941  4'  191  76137 
.03990  96063  74097 
.04040  45289  14 1 59 
.040898888081828 
,o4i39  2685i  58225 
.04188  59214  20104 
.0433785981  39876 
.04287  07165  85625 
.o4336  22780  31  i3o 
.o4385  32837  o5883 
.04434  37348  95 1 07 
.04483  36398  39783 
.04533  39787  86657 
.o458i  17739  78370 
.o463o  00190  59969 
.04678  77 1 70  4493 1 

.047374867384179 
.04776  1 47 1 8  96603 
.04834  753 1 8  03974 
.04873  3o483  23968 
.04931  80226  70183 
.04970  34560  53 1 48 
.o5oi8  63496  75361 
.o5o66  97047  4 1 985 


Table  for  converting  Common 
Hyperbolic  Logarithms. 


into 


1  2.30958  50999  94045  684oi  799' 5| 

2  4.6o5i7  01859  88091  368o3  59S29 

3  6.90775  53789  83 I 37  o52o5  39744 

4  9.21034  03719  76182  73607  19658 

5  11.51392  54649  70228  49.008  99573 

6  1 3.8 1 55 1  05579  ^4274  io4io  79^87 

7  16.11809  565o9  583 I 9  78812  59^02 

8  18.43068  07439  52365  473 i4  39316 
9I30.72326  58369  464' I  i56i6  19231 


Table  for  converting  Hyperbolic  into 
Common  iMstirithms. 


I  10.43429  44819  o325i  82765  1 1 289 
0.86858  89638  o65o3  6553o  23578 
1.30288  34457  09755  48295  33868 

4  1. 73717  79976  i3oo7  3io6o  45i57 

5  2.17147  24095  16259  i3825  56446 

6  2.60576  68914  19510  96590  67735 

7  3.o4oo6  13733  22763  79355  79034 

8  3.47435  58552  26014  62120  9o3i4 
390865  03371  29266  44886  oi6o3 


I 


Lengths  of  Circular  Arcs  in  decimal  parts  of  Radius. 


01745  32935 
.03490  6585o 
.o5335  98775 

.06981  31700 
.08736  64625 
.10471  97551 

.12217  30476 
.13962  634oi 
.15707  96326 


19943  39577 
3988659154 
5982988731 

79773  i83o8 
9971647885 
1965977462 

39603  070^8 
59546  366 1-^ 
7948966192 


i'  .00039  08882 

2  .ooo58  17764 

3  .00087  26646 

4  .00116  35528 

5  .00145  444io 

6  .00174  53292 

7;'.o5)2«3  62 1 -^^ 
8*|.£K)2jJ3  ^im^ 
9 1.00261  79938 


08665  73160 
17331  44319 
25997  16479 

34662  88638 
43328  60798 
5i^^4.3395§ 

§f55^*o5ijii7 
b93e5v727T 
77991  49437 


n 


.00000  4848] 
3  .00000  96962 

3  .00001  4^444 

4  .00001  93925 

5  .00002  42406 
6,  .00003  90888 

7^ '  ^oooo3  39369 

8  .t)ooo3  87850 

9  .00004  36333 


368 II  09536 
73692  19072 
10433  28608 

47244  38 1 44 
84o55  47680 
20866  57216 

57677  66752 
94488  76288 
3129985824 


*.  • 


ll"l 


t 
*  < 


1 1 

*  I  ( 


*  -  • 


I 


« 


J 


340 


T  A  B  L  £  S  • 


ri»^i  iM\a 


Common  Logarithms  of  JSum^erU,  carried  to  thirty  places  of  decimals. 


9 
3 

4 
5 
6 

7 
8 

9 
II 

13 

i3 

n 

3i 
3? 
4i 


Log. 


0.3010299956  63981  1^52 1  3738894724 
0.47712  1254?  19662  437295027903255 
o.6o2o5  99913  27962  39042  74777  80449 
0.69897  00043  36oi8  80478  6261 1  05276 
0.77815  i25o3  83643  6325o  87667  97980 
0.8450980400  i4256  83o7i  22162  58593 
o.9<'3o8  9986991943  58564  1 2166841 73 
0.95424  25094  39324  8745900558  o65io 
1 .041^9  2685 1  58225  04075  01909  71 243 
1.07918  124604762482772  2505692704 
i.i  1394  33523  o6b36  7692065051  57942' 
1.2304489213  78273  92854^^1698  94328 
1.27875  36<i09  52828  96153  63334  75757 
1 .36 1 72  78360  1 7592  87886  7777 1  1 225 1 
1.46239  79978  98906  08733  28467  62969 
1. 491 36  16938  34272  6796667041  001 18 
1 .56820  17240  66994  99680  845o6  89539 
1.6127838567  19735  49450  94 II B  49968 


N. 

43" 

47 
53 

59 
6i 

67 

71 
73 

79 
83 

89 

97 
101 

ro3 

107 

109 

ii3 

127 


Log. 


.63346  84555  7?586  5264o  5o88i  53229 

.67209785793571746441  4219399449 

.72427  58696  00789  o4563  29922  91627 

.77085  201 16  42144  19026  o6563  84535 

.78532  98350  10767  o3388  57485  13757 

.82607  48027  00826  43414  9i3i6  29226 

.85125  83487  19075  28609  28294  35o35 

.86332  28601  20455  90107  43869  00470 

.89762  7091 2  9t>44i  42799  48213  8647^ 

.91907  80923  76073  9o383  27603  52027 

.94939  oof)66  4491 2  78472  35433  69702 

.98677  17342662448517843618  11666 

.00432  1373782642  57427  5 1 88 1  78223 

2.01283  72247  o5i72  2o5i7  1071 1  94580 

2.02938  37776  85209  64o83  454 1 2  39461 

2.C3742  64979  40623  63520o5i  33  07614 

2.o53o7  84434  83419  7-^279  52270  28609 

2.io38o  37209  55956  86424  69874  21827 


JVumbers  often  used  in  calculation. 


i=  Base  of  Napier's  System  of  Logarithms  =2.71828  18284  59o45  23536  02874  7i353 
i^  (=0.36787  94412,  log.  =7.56570  55 1 80  96748  17234  88710  8io83 
M=com.  Jog.  i  =  Mod.  of  Com.  Sys.  of  Log.  =0.434294481903251  82765  11289  18917 
I  j-M=i-7- com.  log.  1=  hyp.  log.  of  10=2.302585092994045684017991454684 
f=Ratioof  Circiim.  to  Diameter  of  a  Circle  =3.i4i59  26535  89793  23846  26433  8328o 


lJ-jr=«.3i83o  98862, 


w«  =9.869604  401089, 

Arc  of  same  length  as  Radius  =180° 
180*^  IT  =57°  .295779513, 
io8oo'-5-jr=3437'  .7467708, 


log.=i.5o285  01273  o5866  i4564  87317  11709 
com.  log.  ir=o.497i4  98726  941 33  85435  12682  88391 
hyp.  log.  ff =1.1 4472  98858  49400  174 1 4  34273  5 1 353 
,j_y2__o.ioi32  ii836,        yjr=i. 77245  385o9 

jr  =  1 0800' -r- TT  =648000" -r- ir 

log  =1.75812  26324  09172 
log  =3.53627  38827  92816 


648ooo"-^r  =206264"  .80625,  log  =5.3i442  5i33i  76459 

Length  of  Arc  i"=o.ooooo  4848i  368ii  09535  99358  99141  in  parts  of  Radius, 


=  ^r-^648ooo,  . 
sin    1  "=:o.ooooo  4848 1  368 1 1 , 
sin    2"=o.ooooo  96962  73622, 
sin    3"=o.ooooi  AW^  io43, 
tin   4"=o.ooooi  93925  4724, 
sin    5"=:o.oooo2  42406  84o5, 
iin    9"=o.oooo4  36332  3129, 
■in  io"=o.oooo4  848i3  6809, 
Bin  ii"=o.oooo5  33295  0490, 
sin  I2"=o.oooo5  817764170, 
sin    i'  =:o.ooo29  08882  o46, 
sin  12' =0.00349  o65 1 4  i5, 
sin    i°=o.oi745  24064, 


log  =4.68557  48668  2354o  5i953 

log  =4.68557  48668 

log  =4.98660  48624 

log  =5.16269  6i2i5 

log  =5.28763  48580 

log  =5.38434  48710 

log  =5  63981  73762 

log  =5.68557  48665 

log  =5.72696  755i8 

log  =5.76475  61126 

log  =6.46372  61109 

log  =:7. 54290  6481 1 


log=8.24i85  53i84 


log  =2. 5625810 
log  =2.5625978 


Tropical  Year  =365*^  5'^  48"»  47' -588  =365^. 242 2 17456, 

Sidereal  Year  =365<t  6a  9-"  lo*. 742  =365 '.2 56374332, 

24'k  Sol.  T.  =24"  S-"  56'  .555335  Sid.  T.  =24*  X  1.00273791,   log  1.002  . . .  =0.001 1874 

24^  Sid.  T.  =24^^-3 "'55'  .90944  Sol.  T.  =24"  X  0.9972696,     log  0.997  . . .  =9.9988126 

Accel"  of  Stars  in  Sol.  day  =3'"  56^.555335  Sid.  T.  =236*. 555335,       log  =2.3739328 

Accel-  of  Stars  in  Sol.  day  =3"*  55* .90944  Sol.  T.  =235\90944,  log  =2.3727453 

Length  of  sec.  pend    m  inch,  at  Lond.  39.13929,  Pans  39.1286,  New  York  39.1012 
^= Accel.  Force  of  Gravity  at  London  =32.1908  Eng.  feet,  log  =1. 607731 5 

1  cubic  inch  of  water  (Bjar.  ^  inch.  jFdhr:  TJierra.  ^J^,)   " '. 
=262.458-5-7000  in  AVbif.  |)olin^8:=i6i  dfe.ifl.'froy  gr^na^  log  =2.4021892 

British  imperial  gallon  ■=i']'j.i']A  cubic  inches,  log  =2.4429091 

III  •    i    I  I  "  ■  I  I     ■■  .         ■ 


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